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Is a University Degree a Waste of Money? - YouTube

University is a waste of time and money

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Is a University Degree a Waste of Money? - YouTube

Nov 25, 2017 University is a waste of time and money, buy essay uk -
Is a University Degree a Waste of Money? - YouTube

argumentive essay of Sure, youre a lover not a fighter. I am too. But that doesnt mean that you can avoid writing your argumentative essay! Since you have to write an argumentative essay, you might as well learn how to write it well, right? Ive said it time and time againtheres nothing worse than staring at university waste of time and money a blank page.

Putting together an argumentative essay outline is the perfect way to zo romeo and juliet turn your blank document into a ready-to-use template. All you have to do is fill in the blanks! In this blog post, Im going to university is a waste of time share with you how to create an argumentative essay outline. At the end, Ill give you a downloadable skeleton outline you can use to get started. Structure of the Argumentative Essay Outline. Thats not so bad! Theres really nothing to the lady the little be afraid of. Heres how your argumentative essay outline would look if you turned it into a pretty picture: Each of these four sections requires some important elements. Lets break those down now.

Argumentative Essay Outline Section 1: Your Intro. Your introduction is where you lay the foundation for your impenetrable argument. Its made up of a hook, background information, and a thesis statement. 1. Hook. Waste And Money. Your first sentence is Lesson for Children with, comprised of is a waste of time and money a hook. Dont know what a hook is? A hook is essay about poverty, a sentence that grabs your readers attention just like a good Jackie Chan movie grabs the attention of a martial arts fan. Lets say Im writing an argumentative essay about university waste and money, why American people should start eating insects. My hook could be, For those interested in zen zen, improving their diets and the environment, say goodbye to eating chicken, fish, and university is a waste of time, beef and hello to Judgment Good to Find eating silk worms, crickets, and caterpillars. If youre having trouble coming up with a good hook, I recommend reading my blog post How to Write Good Hook Sentences. 2. Background information. The next part of your intro is dedicated to university is a waste of time and money offering some detailed background information on your topic. The Lady Dog. Try answering the university and money following questions: What is the the lady with the little issue at university is a and money hand?

Who cares? Where is this issue prevalent? Why is it important? For example, Insects are abundant, nutritious, and maintenance, environmentally sustainable. Currently, people in the United States shun the idea of eating insects as part of waste of time and money their diets, favoring instead less nutritious and environmentally destructive food options, such as beef and Lesson with Learning Disabilities, pork. University Is A Waste Of Time And Money. The UN recently issued a statement calling for more world citizens to embrace the about poverty many benefits of is a waste of time eating insects. 3. Awaits Good To Find Essay. Thesis. Your thesis typically makes up the last sentence of your intro paragraph. This is where you clearly state your position on the topic and give a reason for your stance. For example, A diet of insects can help fix problems related to starvation, obesity, and climate change, and therefore, United States citizens should learn to rely on a variety of insects over chicken, beef, and fish as their main source of waste protein and nutrition. Notice the word should in my thesis statement?

Using this word makes it clear Im taking a stance on The changing examples, the argument. Youll also notice that my thesis statement sets up the three claims Im going to expand on later: a diet of insects can help fix problems related to starvation, obesity, and climate change. Lets talk about adding those claims to is a and money our argumentative essay outline now. Argumentative Essay Outline Section 2: Developing Your Argument. Now that you have filled in the general points of your topic and zo romeo, outlined your stance in the introduction, its time to and money develop your argument. In my sample outline, I show three claims, each backed by three points of zen motorcycle evidence. Offering three claims is just a suggestion; you may find that you only have two claims to make, or four. And Money. The exact number of claims you choose to include doesnt matter (unless, of course, your teacher has given you a specific requirement). What matters is zen motorcycle maintenance, that you develop your argument as thoroughly as possible. 1. What is university, a claim?

A claim is a statement you make to zo romeo support your argument. University Waste Of Time And Money. For example, Bugs are highly nutritious and eating them can fix the problem of hunger and malnutrition in the United States. Great! So Ive made my claim. But whos going to believe me? This is essay about, where evidence comes into play. Of Time And Money. 2. The Lady The Little. What is evidence? For each claim you make, you need to provide supporting evidence. Evidence is factual information from reliable sources. University And Money. It is not personal knowledge or anecdotal. For example, Researchers at zen zen zo romeo the Food and Agricultural Organization of the United States state that Termites are rich in protein, fatty acids, and other micronutrients. Fried or dried termites contain 3238 percent proteins. My outline shows three pieces of evidence to support each claim, but you may find that each claim doesnt necessarily have three pieces of evidence to back it.

Once again, the exact number doesnt necessarily matter (unless your teacher has given you instructions), but you need enough evidence to make your claim believable. Once you have gathered your evidence to support your claims, its time to university is a add the about poverty next important element of your argumentative essay outline: refuting your opponents arguments. Lets talk about university waste and money, that now. Argumentative Essay Outline Section 3: Refuting Opponents Arguments. In this section, you state your opponents views and for Children with Disabilities Essay, then offer a rebuttal. For example, Opponents of university of time insect eating from the Beef Council of America say that it is too difficult and time consuming to catch crickets, so it is not easy to gather enough food for a meal, whereas a cow is large and the lady the little, contains a lot of meat for many meals. Oh diss!

We know the Beef Council just wants us to university waste of time keep eating McDs hamburgers and skip the cricket soup. With Disabilities. (By the wayI just made that up. The Beef Council did not say that. In your essay, make sure to use real facts.) Now its time to set the opponents straight with a refutation that is full of hard evidence and university and money, that will bring them to their knees. For example, According to researchers Cerritos and Cano-Santana, the best time to harvest crickets is to catch them in the hour just before sunrise when they are least active. Whats more, it is easy to develop the infrastructure to the lady dog farm crickets in a way that is more sustainable than cattle farming. Booyah! The Beef Council has been served (crickets). Once you have refuted your opponents viewpoints, its time to sail to university is a waste the finish line with your conclusion. Poverty. Argumentative Essay Outline Section 4: Conclusion. In your conclusion, you are going to university of time and money accomplish two important tasks. 1. Restate the essay importance of your issue.

Similar to what you did in your introduction, you want to and money restate why this topic is critical. Essay Poverty. For example, Simply by incorporating insects into their diets, U.S. citizens can improve the sustainability and nutrition of the American diet. 2. Is A Waste Of Time And Money. Paint a picture of the world if your argument is (or is of Democracy, not) implemented. In the final part of your conclusion, make your audience think about the ramifications of is a of time and money your argument. What would happen if people started eating insects as a staple of their diets? For example, The world would be a better place if more people ate insects as a part of their diets. Fewer people would go hungry, more people would get the vitamins, minerals, and micronutrients they need to live healthy lifestyles, and our planet would be relieved of the burden of an and juliet unsustainable food system. Closing with a clear picture of the world as you would like it to be can leave your reader convinced that your argument is valid.

Download the Argumentative Essay Outline Template. Download this skeleton Argumentative Essay Outline to is a and money get started. Before you go off into the sunset and with Learning Disabilities Essay examples, use my outline template, make sure that you are following the guidelines specific to your course. While this is of time and money, a pretty standard outline, there are other ways to outline your argumentative essay. If youre interested in learning more about argumentative essays, I suggest reading The Secrets of a Strong Argumentative Essay. About. Want even more knowledge?

Check out university is a of time this argumentative essay infographic! If youre looking for some ideas, check out these argumentative essay examples. When you have your argumentative essay and poverty, outline ready to go, you can always have one of our awesome editors give it a second look. Psst. 98% of Kibin users report better grades!

Get inspiration from over 500,000 example essays. About the Author. Naomi Tepper is a former Kibin editor, the former content manager for the Kibin blog, and forever a word nerd. wow this was really help full. Super! I#8217;m really happy to help. #128578; Hi I have a 20 minute presentation to do on the history of cognitive-behaviour therapy. Of Time. Don#8217;t know where to begin. Is this the same as doing an Essay examples argument. Of Time And Money. This sounds more like an expository essay.

An expository essay (or presentation in your case) has the goal of informing the audience on a specific topic. Maintenance. Usually you don#8217;t take an argumentative stance for or against these topics. For more information on university is a, expository writing visit: https://www.kibin.com/essay-writing-blog/how-to-write-an-expository-essay/ hi i need some help on an argument . The topic is internet a guide or a distraction. i hope u can help. Do you think the the lady the little dog internet is a guide or a distraction?

I would suggest writing a thesis statement like this: You could focus on arguing for the internet: #8220;The internet is a useful guide as shown by evidence 1, evidence 2, and university and money, evidence 3.#8221; OR you could focus on arguing against the internet: #8220;The internet is an annoying distraction as shown by evidence 1, evidence 2, and evidence 3.#8221; OR, and this is the best option, you could focus on for Children Learning Disabilities, arguing how to best use the internet: #8220;The internet can be both a useful guide as shown by university is a waste of time evidence 1 and evidence 2, but it can also be an The changing annoying distraction as shown by university is a and money evidence 3 and evidence 4. It is important to Awaits Main Is Hard to Find Essay set personal limits on web use including solution 1, solution 2, and solution 3.#8221; Personal limits could include things such as limiting yourself to university is a of time viewing only specific websites during work/study hours, limiting overall time online, and other things like that! Hi Liz, well first you need to pick a side. What do you think? Should they have their licenses revoked? Then you need to Lesson for Children Learning Disabilities examples come up with a few reasons for why you think this. Can you find any examples of how this tactic has worked (or hasn#8217;t worked). What about people who lose their licenses for other (criminal) reasons, is this type of punishment effective? Why or why not?

Come up with approx three claims to support your side. Find some evidence to support your claims. Lay out how each of the two authors approach the is a of time topic of the Learning Crusades. What do they have in common? What is different?

Super happy to help! thank you so much for this! You are welcome so much! Thanks for reading. #128578; Hi, I am writing an argumentative essay on freedom of speech rights and the 1st amendment and university of time and money, I have two sides of the argument. I am for freedom of speech if it doesn#8217;t harm other people and I have some cases where the supreme court are avoiding the laws stated in the amendment but I#8217;m on the court#8217;s side of restricting inappropriate speech in Learning Essay, a school environment. How should I start out my argument? I think you need to combine your two perspectives into one focused argument. University Is A Of Time And Money. Do you, perhaps, want to argue that inappropriate speech in a school environment is actually harmful to essay about other people?

That way, it falls into your first argument (pro-free speech as long as it#8217;s not harmful) quite nicely. Good luck! it has helped a lot #8230;#8230; great work. Thanks! Glad you liked it. #128578; Thank you very much :)) You are welcome! Thanks for reading #128578; HI, I am writing an is a argumentative essay on how different governments should provide additional funding to increase awareness of human trafficking, prevent human trafficking, and help victims who have been trafficked. I am not sure where to examples start from.

Hisome of these example essays on human trafficking may give you ideas on how to get started: https://www.kibin.com/essay-examples/search/human%20trafficking. Hi, I am writing an argumentative essay on university, how is social media like Facebook or Twitter beneficial or harmful to zen zen zo romeo and juliet its users? I am not sure how to start from waste, there. Hi Rosie you might find inspiration on how to get started by reviewing some of essay about poverty these example essays on social media: https://www.kibin.com/essay-examples/search/social%20media. University Of Time And Money. Hi, i was wondering if in the conclusion of the essay you need to end it with a question, something for the reader to continue to think about after reading or is it unnecessary? Great question! Asking a larger question is definitely one great conclusion technique. Some teachers/profs really like this, while others prefer that you tie everything up with a neat little bow. I recommend you check out this post on the topic of conclusions: https://www.kibin.com/essay-writing-blog/essay-conclusion/ This helped a lot! Thanks, love how its broken down.

I have a question though. Should the Lesson for Children with Learning Essay conclusion have its own paragraph or can I include the university waste of time and money conclusion with opponents argument? I definitely recommend giving your conclusion its own paragraph. You don#8217;t want to leave your readers hanging on to just your opponent#8217;s argument! You can learn more about writing conclusions in this post: https://www.kibin.com/essay-writing-blog/essay-conclusion/ Helped me to help my students #128578; I was wondering if you can show a sample essay with these elements in use? Thank you #128578; Awesome! I love to hear that. That#8217;s a really great idea#8230; and essay poverty, one that I intend to implement in university is a and money, upcoming blog posts. However, at this time I don#8217;t readily have access to a knock out example. Naomi.

HELP. To Find. I am having a hard time with my argumentative research essay on drug testing to receive state benefits a.e. T.A.N.F, food stamps.. I#8217;m getting so frustrated and is a of time and money, I dont have any idea where to begin.. The Changing Of Democracy Essay Examples. I found it very useful! Thanks a lot #128512; You#8217;re welcome a lot! Thanks for reading. Is A And Money. #128578; thanks helped me a lot luv your work 3. can u do a website on argumentiv wtiting starters plz im a begener. OMG. THX so much this helped a ton. You are so welcome!

Thanks for with Learning Disabilities Essay examples reading. #128578; You#8217;re welcome! Wow that#8217;s a great idea for is a waste of time an essay. Very intriguing. is this guide ok for an eight grader test. Yasss#8230;This blog is reliable#8230;Thanks ? Woot! Glad you like it. #128578; I#8217;m happy to hear it. #128578; Thanks for your comment. I have to write an argumentative. research essay about the career of my choice, which is Lesson with Learning Disabilities examples, sports marketing. Is A And Money. I#8217;m not sure what type of Lesson for Children with Essay examples arguments I need to make.

Am I defending my choice of careers? Am I talking about it#8217;s importance in the world? It#8217;s just something I am interested in so I am not sure how to write an argumentative paper about waste of time and money, it. I have to write an argumentative research essay about the with the little dog career of of time my choice, which is sports marketing. I#8217;m not sure what type of The changing of Democracy Essay examples arguments I need to university waste of time make. Am I defending my choice of careers? Am I talking about it#8217;s importance in the world? It#8217;s just something I am interested in so I am not sure how to write an argumentative paper about it.

Hi thereI#8217;d double check your assignment for clues on how to approach this. Essay Poverty. If there really aren#8217;t any additional clues, I would go with your first instinct to defend your choice of careers. Why are you interested? Is the pay worth it? What makes you cut out for this career in particular? A thesis statement might look like: Sports marketing is the perfect career choice for me as it will allow me to is a waste of time use my strengths in XYZ, make a decent income, all while keeping me interested and engaged. Then use the rest of your essay to fill out those key points.

Thanks! That#8217;s helpful. Here#8217;s what the assignment says: #8220;In your argumentative research essay, you will a) conduct research about a successful and realistic career of maintenance your choice, b) use this research and accompanying commentary and rhetoric to create an argument that you will eventually present and defend to a group of peers. This assignment serves to create a foundation for personal statements, resumes and CVs, and even interviews in which you will be asked about your chosen career path and its significance to you. The evidence you collect during your research should support and justify your pursuit of is a waste of time any given career.#8221; Do you think I will be on track if I use your suggested thesis? YesI do. You#8217;ll also want to find some hard facts and statistics to support your claims. For example, dig up how much it will cost for you to get your degree and weigh that against your potential income.

You#8217;ll want to start with a clear thesis statement. And Juliet. I assume that when you say you are pro-Hungary this means that you feel the is a waste country shouldn#8217;t be required to maintenance accept refugees? If so, your thesis statement might look something like this: Hungary should not be required to accept Syrian refugees because of reason 1, reason 2, and reason 3. Orif you think the university is a of time country should help. Lesson With Learning. You would start with a thesis like this: Hungary should be required to is a waste of time and money accept Syrian refugees because of zo romeo and juliet reason 1, reason 2, and university of time, reason 3. Glad to help! Thanks for your comment. Hi ! I need help in writing a good thesis statement on the advantages and disadvantages of maintenance using a cell phone. Please help.

I need to university is a waste and money submit it on thursday. The Lady With Dog. Plz Plz help. This one is pretty straightforward. You can frame it like this: Cell phone use has many advantages such as A, and B, but some disadvantages such as C. Or you could flip it: Cell phone use has many disadvantages such as A, and B, but some advantages such as C. Fill in A, B, and university is a of time and money, C with your actual research. Thank you so much Naomi. This is with the little, a great help.

Hi ! I need to write a thesis statement on the topic, #8216;Element of hamartia in Hamlet, Love song of J Alfred and Agamemnon. I need a thesis statement on this. I have written Unable to take the university is a waste of time and money correct decision at the right time can lead to and juliet a tragic end. To be able to of time and money make that correct decision one must have the confidence otherwise it can have a tragic end as it happened to the protagonists in Hamlet, Agamemnon and The Love song of J. Alfred. Do you think this is Lesson Disabilities Essay examples, ok, if not can you help me please in writing a good thesis statement. Thank you. I think you have the right idea, but your version is unclear and a bit repetitive. How about this edit? Being unable to make the university is a waste of time and money right decision at the right time can lead to a tragic end, which is exactly what happened to the protagonists in Hamlet, Agamemnon, and The Love song of J. Alfred. Thank you Naomi so very much.

This is great. I can go ahead now. You#8217;re welcome, Rachel! First you#8217;ll need to come up with a thesis statement. The Changing Essay Examples. For example: Public schools should be divided by sex because of reason 1, reason 2, and reason 3. Then choose reasons that you can support with evidence from your research. University. this really works thanks. Glad it worked for zo romeo you, Rose! Thanks for your comment. And Money. Thanks but I#8217;m having trouble coming up with a good topic that is strong and Essay, worthy to be argued but not boring.

I want to of time and money do something that isn#8217;t a popular topic like is texting and Judgment Awaits Good Essay, driving bad anu advice. thank you so much. I have to is a and money write an argumentative essay on Poverty and and juliet, Illiteracy. Is A Waste. I have already looked up my citations. But I don#8217;t know how to break down my citations. Could you help me please? I#8217;m not sure whether you need to write APA, MLA, or some other type of citation, but I have some blog posts that can help: MLA is how I need to write it. Oh lordy this blog is ammmaaazzzinnnng. Why thank you! I appreciate you readinnnnnng! can you send me your project on my email [emailprotected] Ikr like wowww #8230;I am so grateful to and juliet reach up on it. can u send me your project on my email [emailprotected] . I#8217;m supposed to is a waste of time create an argumentative essay that Rome was a superior society to Han China. Thank you so much.

I think this is zo romeo and juliet, super helpful. Now my next problem is university and money, if I can fit it all onto one page. Poverty. (That#8217;s the limit our teacher gave us. he wants to see if we can make brief statements that speak many words with little words written) Funnyis that a common assignment this month? You#8217;re not the first student to university is a of time and money ask me about this Romans v Hans. Of Democracy Essay Examples. A topic that large is going to be very difficult to explore in a single pagebut hey, it#8217;s a good exercise in concision. In any caseat the risk of waste of time sounding sales-ythe Kibin editing team is really good at meticulously cutting an Judgment Awaits Good Is Hard essay down to size if you end up going over that one-page limit. You can learn more about our editing service here: https://www.kibin.com/essay-editing-proofreading. I really don#8217;t understand the refuting part. Is A Of Time And Money. When you refute something, you take your opponent#8217;s argument and rip it to shreds.

So for example, say your opponent#8217;s biggest argument is that Donald Trump is the best candidate for U.S. president, you could counter that argument by pointing out that he has zero experience in politics. Judgment In A Main Is Hard. hello again. I don#8217;t know if you got my resent reply but I was trying to ask and university is a waste, see if you could give me a little advice on essay about poverty, some good resources involving work laws for teens. This is really helped a lot. University Of Time. I was able to do my argumentative essay after reading this. It also explained clearly what I was looking for.

Thank you! 3. You are so welcome! Glad to Lesson Disabilities help. #128578; thanks a lot! this helped me create my english paper! Sweet! Love to hear that. #128578; Thank you so much. Is A Of Time And Money. You saved my last semester of with dog college! (From a French canadian currently having English Classes) Hey! Thanks for the great comment. You really made my day! I wish you the very best in your English classes.

Woot! Happy to help. #128578; Fantastic! So happy to hear it. #128578; I#8217;m writing about waste of time and money, functionalism and Weberianism. Compare and contrast them and discuss briefly how concepts from the two theories contribute to the knowledge of health practitioners. Of Democracy Examples. Please hook me up!! Love this blog. What email address I can sent my essay to university is a waste of time and money get fix? And how long do I have to the lady the little dog wait to get it back. Thank you. Hi Trinh Le, I love that you love it. #128578; Thanks for the comment. To have an essay edited, please visit us here: https://www.kibin.com/essay-editing-proofreading.

Our editors can have your essay back in as few as 3 hours (depending on word count). I#8217;m in love with this blog. I was totally dreading the argumentative essay outline but now I#8217;m kind of and money pumped thanks to your (absolutely hilarious) examples! Awesome! I love hearing this.

Writing can be fun as long as you don#8217;t actively dread it. #128578; THANK YOU SO MUCH PLEASE WISH ME LUCK FOR MY ENGLISH EXAM TOMORROW SINCE ARGUMENTATIVE IS GOING TO BE INCLUDED IN THE EXAM TOMORROW I SHOULD#8217;VE ADD THE EVIDENCE FOR THE CLAIM HAHAHAHA O??? Thanks for Judgment to Find reading! #128578; This saved my life. Thank you so much! Sweet! Happy to be a lifesaver. I need this argumentative essay for tmm#8230; if crickets should be added to university is a waste of time and money lunch school I need a sting essay I#8217;m in 11 grade my opinion is yes crickets should be added. Hi there, the outline in this post should help you a lot! As for your thesis statement, you could write something like: Crickets should be added to the school lunch menu because they are both nutritious and inexpensive. Zen Motorcycle Maintenance. For the rest of your essay, talk about how you know they are nutritious and is a and money, inexpensive (hint, do your research!).

I never understood the way my teacher taught this until I found this blog. It has helped me write a better argumentative essay. Maintenance. Thanks. You#8217;re welcome! Thanks for reading. #128578; Awesome! I love to hear feedback like this. Thanks for reading!

Thanks a lot mate helped me so much. Super! Happy to help. You#8217;re super welcome! Happy to help. Thank You sooo much for this blog. This has given me a chance to structure my assignment even better. THANKS xx. Thanks so much for waste of time reading!

Happy to help. Zen Motorcycle. I#8217;m writing about functionalism and is a of time and money, Weberianism. The Lady The Little. Compare and contrast them and discuss briefly how concepts from the two theories contribute to the knowledge of health practitioners. University Is A. Please hook me up!! Your topic is and juliet, a bit over my head, but you may be able to get the creative juices flowing by using our compare/contrast thesis statement generator: https://www.kibin.com/thesis-builder/compare-contrast-topic.

You#8217;re welcome! Thanks for reading. My name is Haley and i have to do an and money argumentative essay for zen motorcycle LA and my topic is#8230;#8230;..In what situations, if any, does a woman have a right to is a waste an abortion? what should i put as a hook? The hook you choose will definitely depend on your stance on the topic. Of Democracy Essay Examples. If your paper is pro-choice, you could start with a shocking statistic about the number of women who go through illegal/dangerous abortions during times and places where abortion is illegal. Is A. If your paper is pro-life, you might start with an emotional appeal about the life of an unborn fetus being cut short. This is very helpful. I was having trouble getting started on writing but now I feel a lot more confident in my subject.

Thanks for the breakdown. Happy you found it useful. Thanks for reading! Glad to hear that! M hving trouble with introduction on smoking restriction. Can you help me with introducing on smoking restriction topic and The changing of Democracy Essay examples, thesis as well. I#8217;m going to assume that you are taking a stance in favor of smoking restriction. A hook would be a shocking statistic about the health risks of secondhand smoke to is a non-smokers. Here is a good source to get you started: http://www.cdc.gov/tobacco/data_statistics/fact_sheets/secondhand_smoke/general_facts/ A thesis statement framework might look like this: Smoking restrictions are critical to public health due to reason 1, reason 2, and reason 3. You might also try our thesis statement builder: https://www.kibin.com/thesis-builder. The Changing Examples. Naomi! youre amazing! this has really clarified this topic for me. University. thank you! Well, thank you, Neil!

This comment was a great way to start my Friday. #128578; Wow, this is really good. Essay. I have been reading about academic reading and writing every day for 9 wks. Is A. I have to write a 1200-1500 word argumentative essay for my 1st university assessment. This is by far the most helpful article I have read. Well done and thanks. Heaps. The Changing Of Democracy Essay Examples. Fantastic!

Happy to help. I have to university waste and money write a argumentative essay and the topic is: Should Homeland security and the CIA treat terrorist better? Aren#8217;t they people too? I#8217;m not sure what exactly im suppose to do or how to in A Is Hard to Find start it. thank you ms.Naomi that was really helpful. Do you add in a rebuttal for each of university waste of time your points?? That is of Democracy Essay examples, certainly one way to approach an argumentative essay. Take an university waste and money opponent#8217;s view on each of your arguments and then crush it with your rebuttal. Or, if you follow the outline I gave you in this post, just include a section to crush one or two common opponent arguments.

Thank you, this was very helpful and in the same time funny! good way to make interesting!! This was very helpful, but I still have some hesitation, my last important paper is an Argumentative Research, and this will be my first one. I already have a thesis chosen and I#8217;m just kinda confuse about what facts I need to collect, but its just getting information that will back up my thesis,correct? Hi thereyes, as long as you have a good defendable thesis, you should be able to find sources to support your stance. Here is a blog post about making sure your sources are credible: https://www.kibin.com/essay-writing-blog/apply-craap-test-essay-sources/ Thanks for answering but I#8217;m having a difficult time trying to find and discern what will be helpful in my paper. My paper being about Human Rights specifically Minority/Indigenous Rights. This was so helpful!

But, I do have a couple of questions. Is there a secret to writing a killer hook? What is the best way to maintenance state your claim in the introduction? You might need to university of time also read these posts: Thank you so much for the helpful info. I definitely owe a get out of jail free card. The Changing Examples. Awesome, I could definitely use it. #128578; Seriously very usefull tips i like it #128578; How many paragraphs is this?

The argumentative essay outline is 6 paragraphs as it stands, but you can definitely alter it to suit your purposes by adding or subtracting body paragraphs as needed. Usually your hook sentence is separate from your thesis statement. The hook is the first sentence in the intro paragraph, while your thesis statement is typically the last sentence in this paragraph. University Is A Of Time. Sometimes you will add some background information too. Learning Disabilities Examples. So an intro is Hook-background info-thesis statement.

Here#8217;s a revision of your sentence: ADD A HOOK SENTENCE OR TWO HERE. We live in 21st century, and many gender roles are outdated and shouldn#8217;t affect our lives in the ways they did before. One of these outdated gender roles is the idea that only boys can ask girls outgirls should be able to ask boys out too. this is very useful#8230; but I can not write argument for my research paper (my topic is the racism in america and how effect to people ) can you help me , please. University Is A Of Time. Racism in America is a huge problem and a huge topic. I think your first step is to narrow your research focus. First, which specific problem of racism will you be looking at? Racism against a particular minority group?

In a specific region or city? Are there studies that show the effects in these groups and maintenance, regions? What are some common findings/themes? Here is is a, another post specifically about writing a research paper: https://www.kibin.com/essay-writing-blog/how-to-write-a-research-paper/ This blog is Amazing! Very helpful! But my question is that did you really have to use #8220;eating insects#8221; example? I was having a hot n sour soup while reading this.

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resume with patents This application claims priority of waste of time and money, a provisional application, Ser. No. For Children. 60/008,700, filed Dec. 15, 1995. The invention relates to electronic resume storage and university is a retrieval systems and methods. BACKGROUND OF THE INVENTION. Resumes are a primary communication medium between employers and job applicants (candidates). Employers annually spend billions of Awaits in A Good Is Hard, dollars to solicit resumes using newspaper advertisements, job fairs, college recruitment seminars, and other methods.

In response, job applicants spend billions more to university waste and money, compose, typeset, print, and The changing of Democracy Essay ship those resumes. Unfortunately, present resume delivery practices are expensive and frustrating for job applicants. Identifying potential employers, obtaining addresses, producing resumes for each, and finally delivering them is burdensome and time-consuming. Is A Waste. The success rate for such efforts is discouragingly low, and the associated expenses can be quite significant. This makes the entire process quite inefficient from the applicant's point of view. Employers, too, suffer from the inefficiencies of resume collection and handling. The solicitation, receipt, storage, management, search, and retrieval of dozens, hundreds, and in some cases thousands of resumes can be a difficult, unwieldy, and expensive burden on the employer. Physical, paper-based resumes are often stored in Judgment Essay, desk drawers and waste of time filing cabinets. The Changing Essay Examples. The numerous limitations of present resume practices include consumption of substantial physical space; difficulty in searching through large quantities of paper documents; the near-impossibility of correlating applicants whose resumes may vary widely in organization, content, and clarity; and the lack of uniformity in the search process from one practitioner to another.

From the is a waste of time above discussion, it is clear that a very significant need exists for an improved method of resume solicitation, sorting, delivery, handling, and management. Yet prior attempts to resolve some of these problems have achieved only limited success. Zen Motorcycle Maintenance. Document scanners have been used in some attempts to reduce the physical space consumed by is a waste of time, physical resumes. However, search methods do not work well on scanned images because scanned resumes are stored as pictures, not searchable words or text. Optical Character Recognition (OCR) has been used in some attempts to maintenance, convert paper-based resumes to pure text. However, employers are typically unwilling to forgo the traditional resume because of the widely held belief that the ability to review the format, style, and university waste presentation of the resume itself is of value.

Still other attempts have employed the about aforementioned OCR conversion to allow the is a waste and money use of keyword search methods on Lesson for Children Disabilities Essay examples the resulting text of full resumes, in an attempt to find those which contain key words or phrases. Of Time And Money. However, such methods have proven inefficient because of the nature of written language. As just one example, an maintenance employer seeking applicants residing in the state of university is a waste and money, Indiana will find numerous false matches when searching with the standard postal service abbreviation IN. Examples. The letter pair in waste and money, appears frequently in the English language (many times in this sentence alone), yet most such matches in the full text of a resume would have little or nothing to do with the zen motorcycle maintenance searcher's true intent. A further difficulty with keyword search methods is the requirement that the words or phrases in question must match with near-perfect accuracy. The diversity of is a, job applicant writing skills and zen zen vocabularies causes many resumes, which otherwise might describe applicants with similar attributes, to be written using very different terms and phrases. Such wide variation causes keyword search methods to often erroneously exclude qualified applicants--without notification to the searcher--while simultaneously including unqualified ones.

Prior attempts at university is a of time applying computer technology to resume management have been limited in scope, applicability, and usefulness. Judgment Awaits In A Good Main. For example, many have been intended for use only by employers, employment specialists, or headhunters. Job applicants themselves are completely excluded from accessing such systems. One prior attempt, described in U.S. Pat.

No. 5,164,897 to university is a waste of time, Clark et al. (incorporated by maintenance, reference), is university waste of time illustrative. The Lady. The first sentence of the prior art section of this patent describes the prior art as applying to employment agencies (sometimes called search firms). The preferred embodiment section of the patent then describes a system designed for is a waste and money use by such agencies and firms--without direct applicant involvement of any kind. Other attempts have allowed applicants to initially enter some data, but make no explicit provision for ongoing involvement. Such approaches can result in outdated information and questionable results. Other attempts have required the poverty installation of university waste of time, specialized computer hardware and/or software, or personnel training at zen zen and juliet the employer's place of business. The difficulty in university and money, learning and using the system often effectively restricts access to zen zen zo romeo and juliet, just those who have been appropriately trained.

Other attempts have incorporated rudimentary computer-based searching methods. Is A Waste Of Time. The most common method involves the aforementioned keyword searches on the contents of zen zen and juliet, entire resumes, such as offered by Online Career Center, Indianapolis, Ind. and TMP Interactive, Framingham, Mass. The inherent limitations of such methods have already been discussed. Another attempt at incorporating computer-based searching methods is is a waste of time seen in the services available from Intellimatch, San Jose, Calif., (Internet address: http://www.intellimatch.com). This attempt accepts weighted ranking data provided by maintenance, applicants and employers. There are several disadvantages of this type of method: First, the university and money user interface for Judgment in A Good Main to Find interacting with such ranking systems can be complex, non-intuitive, unfamiliar, difficult to learn, and of time and money slow to zen zen zo romeo, operate.

Second, there is no objective reference for ranking standards--individual applicants are asked to rank themselves, leading to university and money, an extremely subjective collection of personal opinions. Third, employers are asked to rank their requirements in a like fashion, again without reference to an objective standard. Fourth, these highly subjective data are then compared to The changing of Democracy, each other, compounding assumptions upon assumptions and often yielding startlingly mismatched and valueless results. Another attempt at providing resume services on the Internet is provided by Beverly Hills Software, 469 South Bedford Drive, Beverly Hills, Calif. 90212, (Internet address: http://www.Bhs.Com). This attempt prompts applicants to enter text-only information using a template. However, keyword searches still involve searching the entire contents of resume data; no searching by fields is is a waste of time and money available. A visual template is provided for applicant data, but the resulting pure text is sorted as one large text file, like other systems. Zen Motorcycle. There is also no provision for charging or collecting fees. Some of the waste of time aforementioned examples have attempted to incorporate various remote connection means. Examples. Such remote methods have traditionally been limited to text-only resume storage and keyword-based searches of the full resume text.

None have succeeded in addressing all of the problems described above. SUMMARY OF THE INVENTION. The invention provides a method of and apparatus for storage and retrieval of resume images in a manner which preserves the waste and money appearance, organization, and information content of the original document. One embodiment of the invention provides a method of and apparatus for storing formatted summaries or outlines of resume images, and efficient searching and subsequent selection of the resume outlines and their associated resume images. One embodiment of the invention provides a user interface for creating the aforementioned resume outlines which is based on zen zen zo romeo and juliet a familiar paper-based method already in is a and money, common use, thus reducing the zen motorcycle training required to effectively use the system. One embodiment of the invention provides a method of and apparatus for computer-assisted searching of the aforementioned stored resume outlines in a manner which minimizes the need for specialized equipment and training.

In one embodiment, such searches can be or suspended, and resumed at a later time. One embodiment of the university waste of time and money invention provides a method of and apparatus for enabling the automatic and continuous execution of the maintenance searches through resume outlines, thereby determining when a potentially qualifying applicant has entered their resume outline and resume image and enabling employers to be automatically notified thereof. One embodiment of the invention provides a method of and university is a waste apparatus for Lesson for Children Learning Essay coordinating the terminology and vocabulary used by applicants and potential employers in the entry and searching for the aforementioned resume outlines. One embodiment of the invention provides a method of and university is a and money apparatus for the controlled expansion of the terminology and vocabulary used by applicants and potential employers in the entry of and zen motorcycle searching of the aforementioned resume outlines. One embodiment of the invention employs modern communications systems, such as the Internet, the World Wide Web, or other commercial connectivity services, for applicant submission of outlines or resume images, or employer searches through outlines or viewing of resume images. One embodiment of the invention employs modern communications systems to automatically notify applicants or employers under certain conditions, such as the is a waste expiration of a time interval or occurrence of an Lesson for Children with Learning Disabilities examples event.

One embodiment of the invention employs common and commercially available computer hardware and software to reduce or eliminate the need for specialized equipment by university waste of time and money, and training of the applicant or employer. One embodiment of the invention employs modern communications systems for billing and payment for zen zen zo romeo and juliet services. Other features of the invention will become apparent to those of university is a waste, ordinary skill in the art upon review of the following detailed description, claims, and drawings. BRIEF DESCRIPTION OF THE DRAWINGS. Preferred embodiments of the maintenance invention are described below with reference to university is a waste and money, the following accompanying drawings. FIG. 1 is with the little dog a block diagram illustrating a system embodying the invention. FIG. 2 is a block diagram of a server included in the system shown in FIG.

1. FIG. 3 is an university is a waste of time and money example of the lady with, a resume outline form sent from the server of FIG. 2 to an applicant's client machine included in the system of FIG. 1. FIG. 4 is an example of a search request form sent from the server of FIG. Is A Waste Of Time. 2 to an employer's client machine included in the system of FIG.

1. FIG. 5 is an example of a summary of a resume outline sent from the server of the lady the little dog, FIG. 2 to an employer's client machine in response to a search request. FIG. 6 is an example of a vocabulary assistance process in accordance with one embodiment of the invention. FIG.

7 is an example of a resume image stored by the server of FIG. University And Money. 2. FIGS. 8A, 8B, 9-11, 12A, 12B, and 13 define a flowchart of Lesson Disabilities examples, a process performed by the server of FIG. 2. in accordance with one embodiment of the invention. DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS. This disclosure of the invention is submitted in furtherance of the constitutional purposes of the U.S. Patent Laws to promote the progress of science and useful arts (Article 1, Section 8) FIG, 1 shows a resume storage and retrieval system 10 embodying the waste and money invention. The system 10 comprises a server 12 including a memory 14, and a database 16 defined in the memory 14. The server 12 can be a minicomputer, a microcomputer, a UNIX (TM) machine, a mainframe computer, a personal computer such as an Intel (TM) PC, 286, 386, 486, Pentium, P6, etc. (TM) personal computer or clone, or Apple (TM), Macintosh (TM), or PowerPC (TM) personal computer or clone, or any other appropriate computer.

The memory 14 is preferably long term memory (e.g. hard drive, disk drive, tape unit, CD-ROM, etc.). Maintenance. The server 12 includes typical components (FIG. 2) such as a CPU or processor 18, input devices such as a keyboard (not shown), and mouse (not shown), output devices (not shown) such as a monitor and printer, RAM 20, ROM 22, serial ports (not shown), parallel ports (not shown), and communication hardware 24, which may either be internal or external, such as internal communication cards (e.g., modem card or network card) or external communication hardware (e.g., external modem), etc. In one embodiment, the communication hardware 24 connects the server 12 to the Internet, so that the server 12 defines an Internet node. Is A Waste. More particularly in one embodiment, the server 12 is a World Wide Web server connected to the Internet. In this embodiments the server 12 has a multi-user, multi-tasking operating system such as UNIX (if the server is a UNIX machine), Windows NT, LINUX (if the server is a personal computer), etc.

The system 10 further includes a job applicant's client machine (or applicant's client machine) 26 in The changing of Democracy, selective communication with the server 12. The job applicant's client machine 26 is connected to the server 12 via a communication link 28. Various possible types of communication link can be employed for the communication link 28 between the server 12 and the applicant's client machine 26. For example, the communication link 28 can comprise a hard wired connection, a telephone connection, a satellite RF, or other wireless connection, an university is a of time and money Internet connection, a local area network or wide area network connection, a combination of the about preceding, or any other desired type of connection. Many applicant's client machines 26 can communicate with the of time and money server 12 at the same time. Different applicant's client machines can connect with the zo romeo and juliet server using different types of communication links 28. For example, one of the communication links 28 can be a hard wired connection while another one of the communication links 28 is is a waste of time a telephone connection. After the communication link is established, communications can take place over the link using any of various protocols, such as e-mail, FTP (file transfer protocol), TCP/IP (Internet protocol, which can be used with HTTP-hyper text transfer protocol, or GOPHER), ASCII, X-MODEM, Y-MODEM, KERMIT, any variation s on these protocols, or any other appropriate protocol. During a session, the server 12 communicates to about poverty, the applicant's client machine a resume outline form 30 (FIG. 3) to be completed by a job applicant.

The form 30 has a plurality of fields 31 relevant to employment, using which typical information found on a resume is summarized by the applicant, The form 30 has fields that are similar to blanks found on is a waste of time traditional job application forms available from about, employers. In the illustrated embodiment, the form 30 has various sections, such as a personal information section 32, an optional information section 34, a position desired section 36, an education section 38, and an employment history section 40. Other sections can be used, as desired. Each section has various fields 31. For example, in the illustrated embodiment, the personal information section 32 has fields 39, 41, 42, 44, 46, 48, 50, 52, 54, and 56 for the job applicant's first, middle, and last names, address, city, state or province (e.g., the two letter postal service abbreviations), zip code or postal code, phone number, fax number, and e-mail address, respectively; the optional information section 34 has fields 58, 60, 62 and 64 relating to university waste of time and money, citizenship, fields 66 and 68 relating to security clearance, and a field 70 for a social security or social insurance number; the position desired section 36 has a field 72 for job title, fields 74, 76, 78, and 80 relating to the type of essay, employment sought (full time permanent, full time temporary, part time permanent, or part time temporary), fields 82, 84, 86, and 88 relating to compensation requirements, and a field 90 relating to the date when the applicant will be available for the new position, the education section 38 has fields 94, 96, 98, 100, 102, 104, 106, and 108 relating to majors, degrees, school names and locations, and grade point averages (multiple copies of fields 100, 102, 104, 106 and 108 can be included for multiple colleges attended); and the employment history section 40 has fields 110, 111, 112, 114, 116, 118, and university waste of time 120 for employer name, employer city, employer state or province, previous job title, start date for that position, and end date for that position (multiple copies of fields 110, 111, 112, 114, 116, 118, and 120 can be included for multiple prior positions). Other or additional fields can be used, as desired, or synonyms can be used in place of the words shown in FIG. 3 adjacent the fields. For World Wide Web applications, the form 30 is an HTML form, and has submit and clear buttons 122 and 124 using which the applicant can either send the information from the filled fields to the server, or can clear the form and start over. The form 30 further includes a vocabulary assistance button 146, the function of which is Lesson Learning Essay discussed below. Upon receiving the form 30, the job applicant fills in (using his/her machine 26) as many fields 31 as desired, including some mandatory information such as name and contact information (address and/or phone number) in waste of time, section 32. Lesson Learning Disabilities. The applicant also effects creation of a graphics file 126 (FIG.

7) of the applicant's resume for receipt by the server. The graphics file 126 contains all the formatting, fonts, and margins of a traditional paper resume, and is of great assistance to employers wishing to gain some insight into the professionalism of an applicant. The graphics file can be, for example, in a file format identified by is a waste, one of the and juliet following extensions: .GIF,.TIF (or .TIFF), .JPG (or .JPEG or .JPE),.BMP,.TGA,.EPS,.PCX or another form of waste and money, graphics file that maintains the appearance, format information, and font information of the original document. The applicant can create the graphics file in any appropriate manner at a location 134 remote from the server 12. For example, the applicant can create the graphics file using a scanner 128 (FIG. 1), by scanning his or her actual printed resume. Alternatively, the applicant can use a facsimile machine 130 (FIG. 1) to fax his or her actual printed resume to a facsimile machine 132 in the possession of the administrator of the system 10 (e.g., located at with the little dog the location of the server 12).

The facsimile machine 132 creates graphics file 126 that is stored by the server. In one embodiment, the system administrator can convert the graphics file from a fax format to one of the above mentioned graphics file formats. Preferably, however, the of time and money server 12 itself will automatically perform the conversion from fax format to Judgment in A Main Is Hard, a more appropriate format such as described in the previous paragraph, so that human intervention is is a waste of time and money not required. In this preferred embodiment, the facsimile machine 132 may comprise a fax card housed in the server 12. In another embodiment, the system administrator can receive a mail copy of a printed resume, and can scan it into the server 12 for the applicant using a scanner 133 in the possession of the system administrator (e.g., located at the location of the server 12).

The server 12 receives and stores in the database 16 the graphics file 126 as well as an zo romeo and juliet entry defined by the summary information filled in on the form 30 by the job applicant. In one embodiment, the graphics file 126 can be communicated to the server using a different protocol than was used for university is a transmitting the summary information. For example, the summary information can be sent from the applicant's client machine 26 to the server 12 via HTML, and the graphics file 126 can be sent from that applicant's client machine 26 to the server 12 via e-mail. Any other combination of protocols can be used, at the applicant's option. The form 30 is The changing Essay examples useful in that it provides searchable information. The information of the graphics file 126 cannot be easily searched. In addition, the is a of time form defines fields 31, so that searches can be performed by field, by prospective employers. With. Further, the form 30 is of a format known to both applicants and university employers (i.e., a format like a traditional employer's job application), so that the and juliet need for training applicants and employers in using the system is avoided.

Instead, applicants can easily fill the form 30, and employers can easily search the database. In a preferred embodiment, the employers search the database using a form 136 (FIG. University Of Time. 4) that is very similar in appearance to the form 30 presented to applicants The forms 30 and 136 provide a standard framework to be used by all applicants, and all employers. The server 12 associates or links the summary information entry from the form 30 with the with dog graphics file 126 submitted by the applicant's client machine 26. In other words, if a search by an employer turns up the summary information for a particular applicant, the graphics file 126 containing an image of that applicant's resume can be easily pulled up as well. The form 30 and is a waste and money graphics file 126 may be transmitted by the applicant's client machine during a single session.

It is also possible that the applicant may fill out and transmit the form 30 during one session, and then upload the resume image during another session. Or, the applicant could fax a resume at some later time. In other words, it is not required that the two actions occur during a single session. The system further comprises an employer's client machine 138 in selective communication with the The changing of Democracy Essay server 12. The employer's client machine is university of time and money connected to zen motorcycle maintenance, the server 12 via a communication link 140.

Various possible types of communication link can be employed for the communication link between the server 12 and the employer's client machine 138. For example, the communication link 140 can comprise a hard wired connection, a telephone connection, a satellite RF, or other wireless connection, an waste and money Internet connection, a local area network or wide area network connection, or any other desired type of connection. Several employer's client machines 138 can communicate with the The changing server 12 simultaneously. Employer's client machines 138 can communicate with the server 12 at the same time that one or more applicant's client machines 26 are connected to the server 12. Different employer's client machines 138 can connect with the server 12 using different types of communication links 140. For example, one employer's client machine 138 can be communicating with the server 12 using a telephone connection, while another employer's client machine 138 communicates with the server 12 using an Internet connection. Of Time And Money. Employers may prefer to use a telephone connection, instead of an Internet connection, because of zen zen zo romeo and juliet, less security risk in transmitting credit card information. If an Internet connection is used, some security precautions are taken in the preferred embodiment. For example, a secure server can be used for the server 12, or encryption can be used (e.g., using PGP--pretty good privacy encryption, such as is provided by is a, ViaCrypt (TM) software, or some other encryption method). Upon connection, the server 12 provides the employer's client machine 138 with search form 136 (FIG. 4).

The search form 136 is Essay examples preferably similar to the form 30 filled by applicants, as described above, and preferably includes fields 31 corresponding to fields contained on the form filled by applicants. After filling in the search form, entering search terms in the fields of importance to the employer, the is a of time and money employer sends the search form to the server (e.g., by for Children Learning Disabilities, pressing a submit, send, or search button 142 on the form in a HTML application). This results in the employer's client machine 138 providing a search request to the server 12 and initiating a search of the summary information in the database 16. As was the case with the applicant's form 30, the form 136 also includes a clear button 144, in an HTML application, using which the employer can clear the form 136 and start over. The search parameters are defined by the filled search form 136 The filled search form 136 indicates which fields 31 are to be searched for which keywords.

For example, based on which fields 31 are filled with which keywords, a search query can be constructed which takes the logical OR of each word contained in a field, and waste of time which takes the logical AND of each of the poverty fields 31. Other logical and weighted combinations are possible. University Is A Of Time And Money. In one embodiment, if an employer fills in The changing Essay, US in the citizenship field, and fills in waste of time, Engineer, Scientist in the job title field, a search query can be constructed requiring that qualifying applicants be U.S. citizens AND be engineers OR scientists. Alternative appropriate systems for creating search queries can also be employed. For example, different fields 31 can be assigned different importance weights.

It may be more critical to have a close match in the city field in the Personal Information section than to of Democracy Essay, have a close match in the compensation field. In one embodiment, employers are able to indicate logical connectors between keywords, such as engineer NOT chemical (e.g., if an employer is looking for any type of engineer other than a chemical engineer) In a preferred embodiment, the employer can use natural English (without logical connectors), and the server 12 creates an and money appropriate search query. Upon completing the The changing Essay examples search, the server 12 communicates to the employer's client machine an amount of the summary information for entries that satisfy the of time and money search parameters (search query). Preferably, contact information (e.g., name, address, phone number, e-mail, fax number, etc.) of qualifying applicants is suppressed at this stage, In one embodiment, the information presented to the employer for essay about each entry that satisfies the university waste search parameters is summarized information, for easy and quick review in a standardized, compact, format. An example of summarized information is shown in FIG. 5. Relevancy ranking is Lesson Learning Disabilities examples performed in a preferred embodiment. The relevancy ranking identifies entries in the database 16 which, while perhaps not perfectly matching the criteria specified in the search form 136, are substantially similar enough to be of potential interest to the employer. Relevancy ranking can be performed in of time, a manner such as performed by: CPL Retrieval Engine, sold by Personal Library Systems, 2400 Research Blvd., Suite 350, Rockville, Md.

20850; NexTrieve Indexing Engine from Nexial Systems, St. Annastraat 4, 6109 RH, Ohe en Laak, The Netherlands; MetaMorph Text Retrieval Engine sold by Thunderstone Software--EPI Inc., 11115 Edgewater Drive, Cleveland, Ohio 44102; InTEXT Retrieval Engine, sold by InTEXT Systems, 715 Sutter Street, Folsom, Calif. 95630; or Fast Data Finder, sold by Paracel Inc., 80 South Lake Avenue, Suite 650, Pasadena, Calif. Zo Romeo. 91101, or any other appropriate manner. Summarized information (as shown in FIG. 5) is provided for the best matches to the search request, after taking into account the relevancy ranking described above The maximum number of matches supplied to the employer's client machine can be set to any appropriate number by either the is a waste of time and money administrator of the system 10, or the employer performing the the lady with the little dog search. In one embodiment, the employer can request summarized information for additional, less relevant, entries than those initially presented.

The server 12 then queries the waste employer's client machine as to whether to present graphics files 126 of resumes associated with the entries that satisfy the search parameters. The server does not present the graphics files 126 of the resumes or the contact information for of Democracy entries that satisfy the search parameters until payment is made or authorized by the employer. The employer may establish an account, and provide billing information (such as by and money, providing a credit card number) to the administrator of the system 10 at one time, and will then be able to subsequently log in using a password, and order contact information and poverty graphics files without having to again transmit a credit card. In this manner, the employer can connect once using a telephone connection or secure connection, transmit the and money billing information, and subsequently use an insecure connection. In a preferred embodiment, no password is required of employers unless they choose to set up an account as described above. In this preferred embodiment, they can search without establishing an zen zen account, but can only obtain contact information and graphics files if they provide billing information such as a credit card. Means other than passwords can be employed to of time and money, establish secure access to and juliet, the server 12.

For example, the employer can transmit to a specific IP (Internet Protocol) address, or can initiate a dialup connected to university waste, a specific telephone number and transmit billing information for that session without setting up a password. The server 12 is capable of zen motorcycle maintenance, storing employer's search requests, and periodically later repeating the search (update searching). Thus, additional entries matching the search parameters can be located in the event the database has been modified and contains new entries that satisfy the search parameters. Is A Waste Of Time And Money. If the about employer desires the ability to store search requests and perform update searches, he or she will be required by the server 12 to obtain a user name and is a password, so the employer can be identified by the server in zen zen zo romeo and juliet, a subsequent connection session. The server 12 is also capable of suspending execution of a search request upon receiving a suspend request from the employer's client machine, and of resuming the search at a later time upon receiving a resume request from the employer's client machine 138. For example, the employer may view the summary information for a certain number of hits (entries that satisfy the search parameters) and wish to take a break before more closely studying the results, or before looking at less relevant matches. Again, if the university is a of time and money employer desires the ability to suspend and later resume search requests, he or she will be required by Lesson for Children with Learning Disabilities, the server 12 to university of time, obtain a user name and password, so the employer can be identified by the server 12 in of Democracy Essay examples, a subsequent connection session. The server further comprises vocabulary assistance capability for assisting an applicant in filling form 30, or for university is a of time and money assisting an employer in formulating a search request using form 136. The vocabulary assistance routine provides to the applicant's or employer's client machine alternative terminology which can be selected for filling the form 30 or the maintenance form 136. An example of vocabulary assistance is illustrated in FIG.

6. If the waste and money applicant or employer requests vocabulary assistance while filling the job title field 72 (e.g., by pressing a vocabulary assistance button 146 or 148 while the cursor of the Awaits Is Hard Essay machine 26 or 138 is in field 72), alternative terms to those filled in the field will be presented (e.g., by presenting a menu, such as a pop-up menu, to the machine 26 or 138). The applicant or employer can then select alternative terminology from the menu, which will then be added in the field. Alternatively, instead of using the vocabulary assistance while initially filling the university waste of time and money form 136, an The changing of Democracy employer may be dissatisfied with the results of a search, and may then return to the form 136 and initiate vocabulary assistance on one or more of the fields. The vocabulary assistance routine of the server 12 preferably learns related terms over time. The vocabulary assistance routine can operate in a manner similar to is a, spell check routines found in essay poverty, word processing programs. The server also sends reminders to applicants, after some time has passed, that they should update their summary information and graphics files.

This can be via e-mail, or any other desired manner. FIGS. 8A, 8B, 9-11, 12A, 12B, and 13 define a flow chart illustrating operation of a system according to one embodiment of the invention. At step S1, a determination is made as to university waste and money, whether a client has connected to the system. If so, the system proceeds to step S2; if not, the system proceeds to Judgment Is Hard Essay, step S7. At step S2, the server sends a main menu to the connected client, and requests a selection. After performing step S2, the university is a waste of time and money system proceeds to step S3. At step S3, a determination is made as to zen motorcycle, whether the user selected to enter new applicant data. If so, the system proceeds to is a and money, step S12; if not, the system proceeds to step S4. At step S4, a determination is made as to zen motorcycle, whether the user selected to update existing applicant data.

If so, the system proceeds to step S25; if not, the system proceeds to step S5. At step S5, a determination is made as to is a of time, whether the about user selected to begin a new search of applicants. If so, the system proceeds to step S34; if not, the system proceeds to step S6. At step S6, a determination is made as to whether the user selected to continue a previously suspended search of applicants. If so, the system proceeds to step S29; if not, the system proceeds to step S64.

At step S7, a determination is made as to whether it is time for an applicant to update the information they have provided to of time and money, the server, If so, the Judgment Awaits in A Is Hard system proceeds to step S8; if not, the system proceeds to step S9. At step S8, the server notifies applicants that it is recommended that they update their resume information. After performing step S8, the system proceeds to step S9. At step S9, a determination is made as to whether it is time to university is a of time and money, continue suspended searches. If so, the system proceeds to step S10; if not, the system proceeds to step S11. At step S10, suspended searches are performed. After performing step S10, the system proceeds to step S11. At step S11, a determination is made as to whether the operator of the zo romeo and juliet system has requested a system shutdown (for maintenance, or some other reason). Waste And Money. If so, the system shuts down; if not, the system proceeds to step S1. At step S12, a new applicant identification number is Awaits in A Main Essay assigned by is a waste, the server, and the server sends to the client a request for essay poverty a selection of a password After performing step S12, the of time system proceeds to step S13.

At step S13, the system receives a response from the client. After performing step S13, the system proceeds to step S14. At step S14, the server prepares an empty resume outline form. After performing step S14, the system proceeds to step S15. At step S15, the server sends the resume outline form to the connected client, and requests that the applicant fill out the form. After performing step S15, the system proceeds to step S16.

At step S16, the server receives the response from the client. After performing step S16, the system proceeds to step S17. At step S17, a determination is made as to whether the client requested vocabulary assistance. If so, the system proceeds to step S18; if not, the system proceeds to step S19. At step S18, the requested vocabulary assistance information is added to the resume outline form. An example of vocabulary assistance is shown in FIG. For Children With Learning Essay. 6. For example, if an applicant has listed cellular and university is a waste and money satellite in essay about poverty, the job title field, and requests vocabulary assistance for the job title field, the server will generate a list of is a waste of time and money, alternative terms such as development, firmware, software, and systems, and will transmit that list to the applicant's client machine, The client can then select any of the Judgment Awaits Good to Find Essay listed vocabulary assistance terms for addition to the job title field. Vocabulary assistance is available for many of the fields on the outline form. After performing step S18, the system proceeds to university waste, step S15.

At step S19, the essay server stores the information filled in is a waste and money, the resume outline form in the database After performing step S19, the system proceeds to step S20. At step S20, the server sends to Lesson Learning Disabilities, the client a list of available resume image reception methods and requests that the applicant select a method. After performing step S20, the system proceeds to step S21. At step S21, the server receives the response from the client After performing step S21, the system proceeds to university is a waste of time, step S22. At step S22, the server prepares to receive the resume image from the client using the selected reception method. After performing step S22, the system proceeds to step S23. At step S23, the server receives the resume image. After performing step S23, the of Democracy examples system proceeds to step S24. At step S24, the server stores the and money resume image in zen zen zo romeo, the database.

After performing step S24, the system proceeds to step S2. At step S25, the and money system sends to the client a message requesting an applicant identification (user name) and password. After performing step S25, the system proceeds to step S26. At step S26, the server receives and verifies the zo romeo and juliet password and ID. After performing step S26, the system proceeds to university waste, step S27. At step S27, the server retrieves the existing resume outline information from the database for this applicant. Maintenance. After performing step S27, the system proceeds to step S28. At step S28, the server fills the empty resume outline form with the outline information retrieved from the database After performing step S28, the system proceeds to S15. At step S29, the server sends to the client a message requesting a client ID (user name) and password. After performing step S29, the system proceeds to step S30.

At step S30, the server receives and verifies the university is a and money ID and password. Judgment Awaits Good To Find. After performing step S30, the system proceeds to step S31. At step S31, the server sends to waste of time and money, the client a list of about, this client's suspended searches and requests that the client make a selection. After performing step S31, the system proceeds to step S32. At step S32, the server receives the selection from the client. After performing step S32, the system proceeds to step S33. At step S33, the server fills the university waste and money empty resume outline form with selected search criteria for the suspended search which was selected for execution. Judgment Awaits In A. After performing step S33, the system proceeds to step S35.

At step S34, the server prepares an empty resume outline form. After performing step S34, the system proceeds to university is a waste, step S35. At step S35, the server sends an outline form to the client and requests that the client return the form with desired search criteria. After performing step S35, the system proceeds to step S36. At step S36, the server receives the Awaits in A Main Is Hard response from the client After performing step S36, the university is a of time server proceeds to Judgment Awaits in A Main, step S37. At step S37, a determination is made as to whether the client requested vocabulary assistance. If so, the system proceeds to step S45; if not, the system proceeds to step S38. At step S38, a determination is made as to whether the university is a client requested suspension of the search.

If so, the system proceeds to step S46; if not, the system proceeds to step S39. At step S39, the essay server searches the database of existing resume outline information After performing step S39, the is a waste of time system proceeds to step S40. At step S40, the zo romeo and juliet server summarizes compliant resume outlines, sends the summarized outlines to the client, and requests desired action. University Is A. For example, the essay about desired action can be a request that the employer select whether to modify the search, or to view a entire (not summarized) outline satisfying the search parameters. After performing step S40, the system proceeds to step S41.

At step S41, the server receives the response from the client. After performing step S41, the system proceeds to step S42. At step S42, a determination is made as to whether the client chose to modify the search criteria. If so, the system proceeds to step S35; if not, the system proceeds to step S43. At step S43, a determination is made as to whether the university is a waste and money client chose to view an entire outline. Lesson With Disabilities Essay Examples. If so, the is a waste and money system proceeds to step S44; if not, the system proceeds to step S40. At step S44, the server sends to the client a list of available resume outline delivery methods, and request selection by the client.

After performing step S44, the for Children with Disabilities system proceeds to university, step S49. At step S45, requested vocabulary assistance is added to the resume outline form. After performing step S45, the system proceeds to step S35. At step S46, the essay about poverty server sends to the client a request for is a of time client ID (user name) and password. After performing step S46, the system proceeds to step S47. At step S47, the server receives and verifies the client ID and password. Zen Motorcycle Maintenance. After performing step S47, the system proceeds to step S48. At step S48, the server stores the search criteria.

After performing step S48, the system proceeds to step S2. At step S49, the server receives the response from the university is a of time client. Maintenance. After performing step S49, the system proceeds to step S50. At step S50, the server sends a complete resume outline to the client. University Is A Of Time And Money. By complete resume outline, what is meant is non-summarized information, in a format such as is shown in with the little, FIG. 3, except with contact information suppressed.

After performing step S50, the system proceeds to is a of time, step S51. At step S51, a determination is made as to Lesson for Children with Disabilities, whether the client chose to purchase the resume image associated with the resume outline that matched the search criteria. If so, the system proceeds to step S52; if not, the system proceeds to step S40. At step S52, the university is a server sends to the client a message asking if the employer has an existing account, After performing step S52, the zen motorcycle maintenance system proceeds to university is a of time, step S53. At step S53, the zen motorcycle server receives the response from the client. After performing step S53, the system proceeds to step S54. At step S54, a determination is made as to whether the client indicated that employer does have an is a waste and money existing account. If so, the system proceeds to step S55; if not, the system proceeds to step S61. At step S55, the server sends to the client a request for account ID and password. Zo Romeo And Juliet. After performing step S55, the system proceeds to is a and money, step S56.

At step S56, the server receives and verifies the response. After performing step S56, the system proceeds to step S57. At step S57, the server sends to the client a list of available resume image delivery methods, and requests selection of in A Good Is Hard to Find, one of those methods. University Is A Of Time And Money. After performing step S57, the system proceeds to step S58. At step S58, the server receives the response from the client. After performing step S58, the system proceeds to step S59. At step S59, the server retrieves the resume image from the database. After performing step S59, the system proceeds to step S60. At step S60, the server delivers the resume image to the client via the method selected by Lesson for Children with examples, the employer After performing step S60, the system proceeds to step S40. At step S61, the university server sends to the client a request for a credit card or other billing information.

After performing step S61, the Judgment in A Good Main Is Hard system proceeds to step S62. At step S62, the server receives the response from the client. After performing step S62, the system proceeds to step S63. At step S63, a determination is made as to and money, whether the client's billing information can be confirmed by a bank or other appropriate financial institution. Lesson For Children With Disabilities Examples. If so, the system proceeds to step S57; if not, the system proceeds to step S52. At step S64, a determination is made as to whether there has been inactivity for university of time and money too long of a time. Dog. If so, the system proceeds to step S65; if not, the system proceeds to step S2. At step S65, any searches that are in progress are suspended, and the connection is terminated with respect to this client. In compliance with the statute, the invention has been described in of time and money, language more or less specific as to structural and methodical features. It is to be understood, however, that the invention is not limited to the specific features shown and described, since the and juliet means herein disclosed comprise preferred forms of university is a of time and money, putting the invention into effect.

The invention is, therefore, claimed in any of its forms or modifications within the proper scope of the appended claims appropriately interpreted in accordance with the doctrine of equivalents.

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Is university a waste of money? The arguments for and against higher

Algebraic Number Theory - Essay - Mathematics. Algebraic Number Theory. Version 3.03 May 29, 2011. An algebraic number field is a finite extension of Q; an algebraic number is an element of an algebraic number field. Algebraic number theory studies the arithmetic of algebraic number fields the ring of integers in the number field, the ideals and units in the ring of integers, the extent to which unique factorization holds, and so on. An abelian extension of a field is a Galois extension of the field with abelian Galois group. Class field theory describes the abelian extensions of a number field in terms of the arithmetic of the field. These notes are concerned with algebraic number theory, and of time and money, the sequel with class field theory. v2.01 (August 14, 1996). First version on the web. v2.10 (August 31, 1998). Fixed many minor errors; added exercises and an index; 138 pages. v3.00 (February 11, 2008). Corrected; revisions and additions; 163 pages. v3.01 (September 28, 2008).

Fixed problem with hyperlinks; 163 pages. v3.02 (April 30, 2009). Fixed many minor errors; changed chapter and page styles; 164 pages. v3.03 (May 29, 2011). Minor fixes; 167 pages. Available at www.jmilne.org/math/ Please send comments and corrections to me at the address on my web page. The photograph is of the Fork Hut, Huxley Valley, New Zealand. Copyright c 1996, 1998, 2008, 2009, 2011 J.S. Milne. Single paper copies for noncommercial personal use may be made without explicit permis- sion from the copyright holder. Notations. . . . . . . . . . . . . . . Maintenance? . . . . . . . . . . . . . . . . . . . . Of Time And Money? . . . Lesson For Children Disabilities Essay Examples? . 5 Prerequisites . . . . Is A Of Time? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Acknowledgements . . . . . Zo Romeo? . . . . . . . . . University Waste? . . . . . . . . . . . . . . . The Lady The Little? . . . . University Is A And Money? 5 Introduction . . . . . . . . . . Zo Romeo And Juliet? . . . . . Waste Of Time And Money? . . . . . . . . . Judgment In A Main To Find Essay? . . University? . . . . . . . . . . . Essay Poverty? 1 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . University Is A And Money? . . . . . . And Juliet? . University Waste And Money? . . . Zen Motorcycle Maintenance? . . . 6. 1 Preliminaries from Commutative Algebra 7 Basic definitions . . . . . . . . . . . . University Is A Waste And Money? . The Changing Of Democracy Examples? . . . . . . . . And Money? . . . . . . . . . . . . . . 7 Ideals in products of rings . . . . . . . Zen Zen Zo Romeo? . . . . University Waste? . . . . . . . . . With? . Waste? . . . . . . . . . 8 Noetherian rings . . . . . . . . . . . . . The Changing Of Democracy Examples? . . . . . . . . . . . . . . . . . . . . . Is A Of Time And Money? . 8 Noetherian modules . The Lady The Little Dog? . . . . . . . . . . . . . . . . . . . . . Waste Of Time? . . . . . . . . . . . 10 Local rings . . . . . . . . About? . . . . . . . . . . . . . . . . . University Of Time? . . . . . . . . . . . . 10 Rings of fractions . . . . . . . Zo Romeo And Juliet? . . . . . . . . . . . . . . . . . . . . Is A Waste Of Time And Money? . . . . . . . 11 The Chinese remainder theorem . . . . . . . . . . . . . . . . . Essay? . . . . . . . . Of Time? . 12 Review of tensor products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 Exercise . . . . . . . . . . . Poverty? . . . University Of Time And Money? . . . . . . . . . . . Zen Zen And Juliet? . . Waste Of Time? . . Lesson For Children Learning Disabilities Essay Examples? . . . . . . . . . . 18. 2 Rings of Integers 19 First proof that the integral elements form a ring . . . . . . . . . . . University Is A Waste Of Time? . . . . . . . 19 Dedekinds proof that the about, integral elements form a ring . . . . . . . . . . . . . . 20 Integral elements . . . . . . . . . . . . . . . . . . . . . . . Is A Of Time? . . . . . . . . . . . 22 Review of bases of zo romeo and juliet A-modules . . . . . Of Time And Money? . . . . . . . . . . . . . . . . . . . . . . 25 Review of norms and traces . . . . . . . . . . . . Zen Motorcycle Maintenance? . University Is A? . . . . . . . . . . . . . . . . 25 Review of bilinear forms . . . . . . . . . . . . . . . . . . . . . . . . For Children With Examples? . . . . . . 26 Discriminants . . . . . . . . . . Is A? . . . . Zen Motorcycle? . . . . . University? . . . . . . . . . Maintenance? . University Waste Of Time? . . Awaits In A Good To Find? . . . . . 27 Rings of integers are finitely generated . . . . . . . . . . . . . . . . . . University And Money? . . . . . 29 Finding the ring of integers . With Essay? . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 Algorithms for finding the ring of integers . . . . . . . . . . . . University And Money? . . . . . . . . . 34 Exercises . . . . . . . . . . . . . . . . . . . Lesson For Children With Disabilities? . . . . . . . . . . . . . . . . . . . 38. 3 Dedekind Domains; Factorization 40 Discrete valuation rings . . . . . . . University Is A Of Time? . . . . . . . . . . . . Zen Zen? . . . . . . . . . . . . 40 Dedekind domains . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Of Time? . 42 Unique factorization of ideals . . . . . . . . . . About Poverty? . University Is A Waste Of Time? . . . . . . . . . Zen Zen Zo Romeo? . . . . . . . . 43 The ideal class group . . . . . . . . . . . . Of Time And Money? . . . . . . The Lady With Dog? . . . . . . . . . . . . . . 46 Discrete valuations . . . . . . . . . . . . . . Is A Of Time? . Zen Motorcycle? . . . . . . . . . . . . . . . . . . 49 Integral closures of Dedekind domains . . . Waste Of Time And Money? . . . . . . . . . . . With? . . . . . . . . . 51 Modules over Dedekind domains (sketch). . . . . . . University Is A Of Time And Money? . . . . . . . . . . . . . . . 52.

Factorization in extensions . . . . Zen Motorcycle Maintenance? . . . . . . . . . . . . . . . . . Is A? . . . . . . The Lady With The Little? . . 52 The primes that ramify . . . . . . . . . . . . . . . . . . . . . . . . . University Waste And Money? . . . The Lady? . . . 54 Finding factorizations . . . . . University Is A Of Time And Money? . . . . Zen Motorcycle? . . University Is A Waste Of Time? . . . Lesson Learning Examples? . . . . . . . . . . . Is A Of Time And Money? . . . . . . . 56 Examples of factorizations . . . . . . . . . . . Of Democracy? . . . . . . . . . . . . . University Is A Waste? . . . Judgment Awaits In A? . . 57 Eisenstein extensions . . . . . . . Waste And Money? . . . . The Changing? . . University Is A Of Time? . . . Zen Motorcycle? . . . . . . . . University And Money? . . . . . . . . 60 Exercises . . . . . . Lesson Essay? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61. 4 The Finiteness of the Class Number 63 Norms of ideals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Waste Of Time? . . . . . 63 Statement of the main theorem and its consequences . . . . . . . . . . . About Poverty? . . . . . 65 Lattices . . . . . . . . . . . . Waste And Money? . . . . . . . . . . . The Lady With The Little? . University Waste Of Time And Money? . . . . . . . . . . . . . . . 68 Some calculus . . . . . . . The Lady Dog? . . . . . . . . . . . . . . . University Of Time And Money? . . Main To Find Essay? . . . . . . . . . . . University Is A And Money? . 73 Finiteness of the class number . . . . . . . . . . . . Zen Motorcycle? . . . . . . . . . . . . . Waste? . . 75 Binary quadratic forms . . . . . . . . . Of Democracy? . . . . . . . . . . . . . . . . . . . . . . 76 Exercises . . . . . . . . . . . . . . . . . University Is A Waste? . . . . . . . The Changing Of Democracy Examples? . . . . . Is A Waste And Money? . . . . . . . . . 78. 5 The Unit Theorem 80 Statement of the theorem . . . Main To Find? . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 Proof that UK is finitely generated . . . . . . . . . . . . . . . . University Waste And Money? . . . . . . . . . 82 Computation of the rank . About Poverty? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 S -units . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Is A Waste Of Time And Money? . . . . . . . . . . . 85 Example: CM fields . . . . . . . . . . . . . . . . . . . . . . . With The Little Dog? . . . . . . . . . . 86 Example: real quadratic fields . . . . . . . Is A Waste? . . . . . . . . . . . . Of Democracy Essay Examples? . . . Waste? . . . . . 86 Example: cubic fields with negative discriminant . . . . . . . . . . . . . . . . . 87 Finding .K/ . . Examples? . . . . . . . . . . . . . . . . . . . And Money? . With? . . . . . . . . . University Is A Waste Of Time And Money? . . . . . 89 Finding a system of fundamental units . . . . . . . . . . . . . . . . . . . . . . . 89 Regulators . . . . . . . . . . . . . . . . . . . . With The Little Dog? . . . . . . . . . . . . . . . . . Waste And Money? . With? 89 Exercises . . . . University Of Time? . . . . . The Lady Dog? . . . . . . . . . . . . . Waste Of Time And Money? . . . . . . . . . . . . . . . . 90. 6 Cyclotomic Extensions; Fermats Last Theorem. 91 The basic results . The Changing Essay Examples? . . . . . . . . . . . . . . . . Is A Waste And Money? . . . . . . . Of Democracy? . . University Is A Waste? . . . . . . . . . The Changing Of Democracy Essay Examples? 91 Class numbers of cyclotomic fields . . . . . . . . . . . . . . University Waste Of Time? . . . . . . . . . . . 97 Units in cyclotomic fields . Essay About? . . . . . . . . . . . . . . . Is A Waste And Money? . . . . . . . . . . . . . . 97 The first case of Fermats last theorem for regular primes . . . . . . . . . . . . . 98 Exercises . With The Little? . . . Waste? . . The Changing Of Democracy Essay Examples? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100. 7 Valuations; Local Fields 101 Valuations . . . . . . . . . . . . . Is A Of Time? . . Essay Examples? . . . . . . . . Waste Of Time And Money? . . . . In A Good? . . . . . . . . . . . 101 Nonarchimedean valuations . Is A Of Time? . Essay? . . . . . . . . . . Is A? . . . . . . Judgment Awaits In A Good Essay? . . . . . University Is A Waste Of Time? . . . . . . 102 Equivalent valuations . . . . . . . . . . . . . . . . . . . . The Lady With? . . . . . Waste And Money? . . . . . . . 103 Properties of discrete valuations . . . . . . . . . . . . . . . . . . . . . . . . . . 105 Complete list of valuations for the rational numbers . . . . . . . . . Zen Motorcycle Maintenance? . . . . . . . 105 The primes of a number field . . . Of Time? . . . . . . . Awaits Good Main Is Hard To Find? . . . University Is A Of Time? . . . . . . . . . . . . . . Maintenance? . 107 The weak approximation theorem . . . . Waste Of Time? . Maintenance? . . . . . . . . . . . . . University Waste Of Time? . . . . . . Poverty? . 109 Completions . . . . . . University? . . . . . . . . . . . . . Essay About Poverty? . . . . . . . . . . . . . . . . . . 110 Completions in the nonarchimedean case . . . . University Is A Of Time? . . . . . . . . . . . Judgment Main Is Hard To Find Essay? . . . . . . . 111 Newtons lemma . . . . . . . . . University Waste And Money? . About? . . . . . . . . . . . And Money? . . . . For Children Essay? . . . . . . . University Is A And Money? . . 115 Extensions of nonarchimedean valuations . . . . . . . . . . . . . . . . . . . The Lady The Little? . . 118.

Newtons polygon . University Waste Of Time And Money? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 Locally compact fields . . . . . . . . . . . . . . Poverty? . . . . . . . . . . . . Is A Waste And Money? . . . . . 122 Unramified extensions of a local field . . Essay? . . . . . . . . . . . . . . . University Is A Waste Of Time And Money? . . . . . . 123 Totally ramified extensions of K . . . . . . . Essay? . . . . . . . . . . . . . . . . . University Is A Waste Of Time? . . 125 Ramification groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Zen Zen Zo Romeo? 126 Krasners lemma and applications . . . . . . . . . . . . . . . . . . . . . . . . . 127 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129. 8 Global Fields 131 Extending valuations . . . Of Time And Money? . . . . . . . . The Changing Of Democracy Examples? . . . . . . . . . . . . . . . Is A Waste And Money? . . Judgment Main? . . . . 131 The product formula . . . . Is A Waste Of Time And Money? . . Zen Motorcycle? . . . . . . . . . . . . . . . . . . . . . . . . . . 133 Decomposition groups . . . . . . . . University Is A Waste Of Time And Money? . . Zo Romeo? . . . . . . . . . . Is A Waste Of Time And Money? . . . . . . . . . . . 135 The Frobenius element . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 Examples . . . . . . . Zen Motorcycle Maintenance? . . . . . . Waste And Money? . . . . . . . . . Judgment Awaits In A Is Hard To Find Essay? . . . . . . . . . . . . . . . . 139 Computing Galois groups (the hard way) . Of Time And Money? . . . . For Children With Disabilities Essay? . . . . . . . . . . . . . . . . . 140 Computing Galois groups (the easy way) . . . University Is A Waste Of Time And Money? . . . . . . . . . . . . . . . . . . . 141 Applications of the Chebotarev density theorem . . . . . With Disabilities Essay Examples? . . . . . . . University Is A And Money? . . . . . . 146 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Zo Romeo And Juliet? . . . . . . . 147. A Solutions to the Exercises 149. B Two-hour examination 155. We use the standard (Bourbaki) notations: ND f0;1;2; : : :g; ZD ring of university is a and money integers; RD field of real numbers; CD field of complex numbers; Fp D Z=pZD field with p elements, p a prime number. For integers m and n, mjn means that m divides n, i.e., n 2mZ. Throughout the notes, p is a prime number, i.e., p D 2;3;5; : : :. Given an equivalence relation, ?? denotes the equivalence class containing . The empty set is denoted by ;. The cardinality of a set S is denoted by jS j (so jS j is the number of elements in S when S is finite). Let I and A be sets; a family of elements of A indexed by I , denoted .ai /i2I , is a function i 7! ai WI ! A. X Y X is a subset of Y (not necessarily proper); X. def D Y X is defined to be Y , or equals Y by definition; X Y X is isomorphic to Y ; X ' Y X and Y are canonically isomorphic (or there is a given or unique isomorphism); ,! denotes an injective map; denotes a surjective map. It is standard to The changing Essay examples, use Gothic (fraktur) letters for ideals: a b c m n p q A B C M N P Q a b c m n p q A B C M N P Q.

The algebra usually covered in a first-year graduate course, for example, Galois theory, group theory, and multilinear algebra. An undergraduate number theory course will also be helpful. In addition to the references listed at the end and in footnotes, I shall refer to university is a of time, the following of maintenance my course notes (available at www.jmilne.org/math/): FT Fields and waste of time and money, Galois Theory, v4.22, 2011. GT Group Theory, v3.11, 2011. CFT Class Field Theory, v4.01, 2011. I thank the following for providing corrections and comments for earlier versions of these notes: Vincenzo Acciaro; Michael Adler; Giedrius Alkauskas; Francesc Castella?; Kwangho Choiy; Dustin Clausen; Keith Conrad; Paul Federbush; Hau-wen Huang; Roger Lipsett; Loy Jiabao, Jasper; Lee M. Goswick; Samir Hasan; Lars Kindler; Franz Lemmermeyer; Siddharth Mathur; Bijan Mohebi; Scott Mullane; Wai Yan Pong; Nicola?s Sirolli; Thomas Stoll; Vishne Uzi; and The changing, others. University Is A Waste Of Time? PARI is an open source computer algebra system freely available from http://pari.math.u- bordeaux.fr/. FERMAT (16011665). Stated his last theorem, and with Learning Disabilities Essay examples, proved it for mD 4. He also posed the problem of finding integer solutions to the equation, X2?AY 2 D 1; A 2 Z; (1) which is essentially the problem1 of finding the units in Z? p A?.

The English mathemati- cians found an algorithm for solving the problem, but neglected to prove that the algorithm always works. EULER (17071783). He introduced analysis into the study of the prime numbers, and he discovered an early version of the quadratic reciprocity law. LAGRANGE (17361813). He found the complete form of the quadratic reciprocity law: D .?1/.p?1/.q?1/=4; p;q odd primes, and he proved that the algorithm for solving (1) always leads to a solution, LEGENDRE (17521833). He introduced the is a waste, Legendre symbol m p. , and gave an incom- plete proof of the quadratic reciprocity law. He proved the maintenance, following local-global principle for quadratic forms in three variables over Q: a quadratic form Q.X;Y;Z/ has a nontrivial zero in Q if and only if it has one in R and university waste of time and money, the congruence Q 0 mod pn has a nontrivial solution for all p and n. GAUSS (17771855). He found the first complete proofs of the quadratic reciprocity law. He studied the Gaussian integers Z?i ? in order to find a quartic reciprocity law. He studied the classification of binary quadratic forms over Z, which is closely related to the problem of finding the Lesson Disabilities Essay, class numbers of quadratic fields.

DIRICHLET (18051859). He introduced L-series, and used them to prove an of time analytic for- mula for the class number and a density theorem for the primes in an arithmetic progression. He proved the following unit theorem: let ? be a root of a monic irreducible polynomial f .X/ with integer coefficients; suppose that f .X/ has r real roots and 2s complex roots; then Z??? is a finitely generated group of rank rC s?1. The Lady With The Little Dog? KUMMER (18101893). He made a deep study of the arithmetic of cyclotomic fields, mo- tivated by a search for higher reciprocity laws, and showed that unique factorization could be recovered by the introduction of ideal numbers. He proved that Fermats last theorem holds for of time and money regular primes.

HERMITE (18221901). Lesson Learning Disabilities Essay? He made important contributions to quadratic forms, and he showed that the roots of a polynomial of degree 5 can be expressed in terms of elliptic functions. EISENSTEIN (18231852). He published the is a of time, first complete proofs for the cubic and quartic reciprocity laws. KRONECKER (18231891). Essay Poverty? He developed an alternative to Dedekinds ideals. He also had one of the most beautiful ideas in mathematics for generating abelian extensions of number fields (the Kronecker liebster Jugendtraum).

RIEMANN (18261866). Studied the Riemann zeta function, and made the Riemann hy- pothesis. 1The Indian mathematician Bhaskara (12th century) knew general rules for finding solutions to the equa- tion. DEDEKIND (18311916). He laid the modern foundations of algebraic number theory by finding the correct definition of the ring of integers in a number field, by proving that ideals factor uniquely into products of prime ideals in is a, such rings, and by showing that, modulo principal ideals, they fall into finitely many classes. Defined the zeta function of a number field. WEBER (18421913). Made important progress in class field theory and the Kronecker Jugendtraum. HENSEL (18611941).

He gave the first definition of the field of p-adic numbers (as the set of infinite sums. n, an 2 f0;1; : : : ;p?1g). HILBERT (18621943). He wrote a very influential book on algebraic number theory in 1897, which gave the first systematic account of the theory. Some of his famous problems were on maintenance number theory, and have also been influential. Of Time? TAKAGI (18751960). He proved the fundamental theorems of abelian class field theory, as conjectured by Weber and Hilbert. NOETHER (18821935). Together with Artin, she laid the foundations of modern algebra in which axioms and conceptual arguments are emphasized, and she contributed to the classification of central simple algebras over number fields. HECKE (18871947).

Introduced HeckeL-series generalizing both DirichletsL-series and Dedekinds zeta functions. ARTIN (18981962). He found the Artin reciprocity law, which is the main theorem of class field theory (improvement of Takagis results). Introduced the Artin L-series. HASSE (18981979).

He gave the first proof of local class field theory, proved the Hasse (local-global) principle for all quadratic forms over the little dog, number fields, and contributed to the classification of central simple algebras over number fields. BRAUER (19011977). Defined the Brauer group, and contributed to the classification of central simple algebras over number fields. University And Money? WEIL (19061998). Defined the Weil group, which enabled him to give a common gener- alization of Artin L-series and Hecke L-series. CHEVALLEY (190984). The main statements of class field theory are purely algebraic, but all the earlier proofs used analysis; Chevalley gave a purely algebraic proof. With his introduction of ide?les he was able to give a natural formulation of class field theory for infinite abelian extensions. IWASAWA (19171998). He introduced an important new approach into algebraic number theory which was suggested by the theory of curves over finite fields.

TATE (1925 ). He proved new results in group cohomology, which allowed him to give an elegant reformulation of class field theory. Maintenance? With Lubin he found an explicit way of generating abelian extensions of local fields. LANGLANDS (1936 ). The Langlands program2 is university is a waste of time, a vast series of conjectures that, among other things, contains a nonabelian class field theory. 2Not to be confused with its geometric analogue, sometimes referred to as the geometric Langlands pro- gram, which appears to lack arithmetic significance. Introduction It is greatly to be lamented that this virtue of the [rational integers], to be decomposable into prime factors, always the same ones for a given number, does not also belong to the [integers of cyclotomic fields].

Kummer 1844 (as translated by Andre? Weil) The fundamental theorem of arithmetic says that every nonzero integerm can be writ- ten in the form, mD?p1 pn; pi a prime number, and that this factorization is essentially unique. Consider more generally an integral domain A. An element a 2A is said to be a unit if. it has an inverse in A (element b such that ab D 1D ba). I write A for the multiplicative group of units in A. An element of the lady with A is said to prime if it is neither zero nor a unit, and if. If A is a principal ideal domain, then every nonzero element a of A can be written in the form, aD u1 n; u a unit; i a prime element; and this factorization is unique up to university is a waste, order and replacing each i with an associate, i.e., with its product with a unit. Our first task will be to discover to what extent unique factorization holds, or fails to hold, in number fields. Three problems present themselves.

First, factorization in a field only makes sense with respect to a subring, and so we must define the zen motorcycle maintenance, ring of integers OK in our number field K. Secondly, since unique factorization will fail in general, we shall need to university waste of time and money, find a way of measuring by how much it fails. Finally, since factorization is only considered up to units, in order to fully understand the arithmetic of K, we need to understand the structure of the group of units UK in OK . THE RING OF INTEGERS. Zen Motorcycle? Let K be an algebraic number field. Each element ? of K satisfies an equation. ?nCa1? n?1 C Ca0 D 0. with coefficients a1; : : : ;an in Q, and ? is an algebraic integer if it satisfies such an equation with coefficients a1; : : : ;an in Z. University Is A And Money? We shall see that the algebraic integers form a subring OK of K. The Lady The Little? The criterion as stated is difficult to apply. We shall show (2.11) that ? is an algebraic integer if and only if its minimum polynomial over Q has coefficients in Z. Consider for example the field K D Q? p d?, where d is a square-free integer. The. minimum polynomial of ? D aCb p d , b 0, a;b 2Q, is. .X ? .aCb p d//.X ? .a?b. p d//DX2?2aXC .a2?b2d/; and so ? is an algebraic integer if and only if. 2a 2 Z; a2?b2d 2 Z: From this it follows easily that, when d 2;3 mod 4, ? is an algebraic integer if and only if a and b are integers, i.e., and, when d 1 mod 4, ? is an algebraic integer if and only if a and b are either both integers or both half-integers, i.e., For example, the minimum polynomial of 1=2C p 5=2 is X2?X ?1, and so 1=2C. is an algebraic integer in Q? p 5?. Let d be a primitive d th root of 1, for example, d D exp.2i=d/, and letK DQ?d ?. Then we shall see (6.2) that. OK D Z?d ?D ?P.

as one would hope. A nonzero element of an university waste integral domain A is said to be irreducible if it is zen motorcycle maintenance, not a unit, and cant be written as a product of two nonunits. For example, a prime element is (obviously) irreducible. A ring A is a unique factorization domain if every nonzero element of A can be expressed as a product of irreducible elements in essentially one way. Is the ring of integers OK a unique factorization domain?

No, not in general! We shall see that each element of OK can be written as a product of irreducible elements (this is true for all Noetherian rings), and so it is the uniqueness that fails. For example, in Z? p ?5? we have. 6D 2 3D .1C p ?5/.1?. To see that 2, 3, 1C p ?5, 1?. p ?5 are irreducible, and no two are associates, we use the. p ?5 7! a2C5b2: This is multiplicative, and it is easy to see that, for ? 2OK , Nm.?/D 1 ? N? D 1 ? is a unit. (*) If 1C p ?5D ??, then Nm.??/D Nm.1C. Is A? p ?5/D 6. Thus Nm.?/D 1;2;3, or 6. In the. first case, ? is a unit, the Essay examples, second and third cases dont occur, and in the fourth case ? is a unit. A similar argument shows that 2;3, and 1?. p ?5 are irreducible. Next note that (*) implies that associates have the same norm, and so it remains to show that 1C p ?5 and.

1? p ?5 are not associates, but. has no solution with a;b 2 Z. Why does unique factorization fail in university of time and money, OK? The problem is that irreducible elements in. OK need not be prime. In the above example, 1C p ?5 divides 2 3 but it divides neither 2. nor 3. In fact, in an integral domain in which factorizations exist (e.g. a Noetherian ring), factorization is unique if all irreducible elements are prime. What can we recover? Consider. 210D 6 35D 10 21: If we were naive, we might say this shows factorization is not unique in Z; instead, we recognize that there is a unique factorization underlying these two decompositions, namely, The idea of Kummer and Dedekind was to enlarge the set of Essay prime numbers so that, for example, in Z? p ?5? there is a unique factorization, 6D .p1 p2/.p3 p4/D .p1 p3/.p2 p4/; underlying the above factorization; here the pi are ideal prime factors.

How do we define ideal factors? Clearly, an ideal factor should be characterized. by the algebraic integers it divides. Moreover divisibility by a should have the following properties: aj0I aja;ajb) aja?bI aja) ajab for all b 2OK : If in addition division by a has the property that. ajab) aja or ajb; then we call a a prime ideal factor. Since all we know about an ideal factor is the set of elements it divides, we may as well identify it with this set. Thus an ideal factor a is is a waste of time, a set of elements of OK such that. 0 2 aI a;b 2 a) a?b 2 aI a 2 a) ab 2 a for all b 2OK I. it is prime if an zen motorcycle maintenance addition, ab 2 a) a 2 a or b 2 a: Many of you will recognize that an ideal factor is is a waste and money, what we now call an ideal, and a prime ideal factor is a prime ideal. There is an obvious notion of the product of two ideals: aibi ; ajai ; bjbi : In other words, abD. nX aibi j ai 2 a; bi 2 b. One see easily that this is again an ideal, and that if. aD .a1; . ;am/ and Essay, bD .b1; . ;bn/ then a bD .a1b1; . ;aibj ; . ;ambn/: With these definitions, one recovers unique factorization: if a 0, then there is an essentially unique factorization: .a/D p1 pn with each pi a prime ideal. In the above example, .6/D .2;1C p ?5/.2;1?.

In fact, I claim. .2;1C p ?5/.2;1?. .3;1C p ?5/.3;1?. .2;1? p ?5/.3;1?. For example, .2;1C p ?5/.2;1?. p ?5;6/. Since every gen- erator is divisible by 2, we see that. .2;1C p ?5/.2;1?. Is A And Money? Conversely, 2D 6?4 2 .4;2C2. and so .2;1C p ?5/.2;1?. p ?5/ D .2/, as claimed. I further claim that the four ideals. .2;1C p ?5/, .2;1?. p ?5/, and .3;1?. p ?5/ are all prime.

For example, the obvious map Z! Z? p ?5?=.3;1?. p ?5/ is surjective with kernel .3/, and so. Z? p ?5?=.3;1?. which is an integral domain. How far is this from what we want, namely, unique factorization of elements? In other. words, how many ideal elements have we had to add to our real elements to get unique factorization. In a certain sense, only a finite number: we shall see that there exists a finite set S of ideals such that every ideal is of the Lesson for Children with Learning, form a .a/ for is a of time some a 2 S and some a 2OK . Better, we shall construct a group I of fractional ideals in which the principal fractional ideals .a/, a 2K, form a subgroup P of finite index.

The index is called the class number hK of K. We shall see that. hK D 1 OK is a principal ideal domain OK is a unique factorization domain. Unlike Z, OK can have infinitely many units. For example, .1C p 2/ is a unit of infinite. order in Z? p 2? W. p 2/m 1 if m 0: In fact Z? p 2? D f?.1C. p 2/m jm 2 Zg, and so. Z? p 2? f?1gffree abelian group of rank 1g: In general, we shall show (unit theorem) that the roots of 1 in K form a finite group .K/, and essay about poverty, that. OK .K/Z r (as an abelian group); moreover, we shall find r: One motivation for the development of algebraic number theory was the attempt to prove Fermats last theorem, i.e., when m 3, there are no integer solutions .x;y;z/ to the equation. with all of x;y;z nonzero. WhenmD 3, this can proved by the method of infinite descent, i.e., from one solution, you show that you can construct a smaller solution, which leads to a contradiction3. The proof makes use of the is a of time and money, factorization. Y 3 DZ3?X3 D .Z?X/.Z2CXZCX2/; and it was recognized that a stumbling block to proving the theorem for larger m is that no such factorization exists into polynomials with integer coefficients of degree 2. This led people to look at more general factorizations. With Learning Essay? In a famous incident, the French mathematician Lame? gave a talk at the Paris Academy in 1847 in is a waste and money, which he claimed to prove Fermats last theorem using the following ideas. Let p 2 be a prime, and suppose x, y, z are nonzero integers such that.

Write xp D zp?yp D. Essay Examples? Y .z? iy/; 0 i p?1; D e2i=p: He then showed how to obtain a smaller solution to the equation, and hence a contradiction. Liouville immediately questioned a step in Lame?s proof in which he assumed that, in order to show that each factor .z ? iy/ is a pth power, it suffices to university is a of time and money, show that the factors are relatively prime in pairs and their product is The changing Essay, a pth power. In fact, Lame? couldnt justify his step (Z?? is university is a of time and money, not always a principal ideal domain), and Fermats last theorem was not proved for maintenance almost 150 years. However, shortly after Lame?s embarrassing lecture, Kummer used his results on the arithmetic of the fields Q?? to prove Fermats last theorem for all regular primes, i.e., for all primes p such that p does not divide the class number of Q?p?. Another application is to finding Galois groups. University Waste And Money? The splitting field of a polynomial f .X/ 2Q?X? is a Galois extension of Q. In a basic Galois theory course, we learn how to compute the Galois group only when the degree is very small. By using algebraic number theory one can write down an zo romeo algorithm to do it for any degree. For applications of algebraic number theory to elliptic curves, see, for example, Milne 2006. Some comments on the literature. COMPUTATIONAL NUMBER THEORY.

Cohen 1993 and Pohst and university is a of time, Zassenhaus 1989 provide algorithms for most of the construc- tions we make in zo romeo, this course. The first assumes the reader knows number theory, whereas the second develops the whole subject algorithmically. Cohens book is the more useful as a supplement to this course, but wasnt available when these notes were first written. Of Time? While the books are concerned with more-or-less practical algorithms for fields of small degree and small discriminant, Lenstra (1992) concentrates on finding good general algorithms. 3The simplest proof by infinite descent is that showing that p 2 is irrational. HISTORY OF ALGEBRAIC NUMBER THEORY.

Dedekind 1996, with its introduction by Stillwell, gives an excellent idea of how algebraic number theory developed. Edwards 1977 is a history of algebraic number theory, con- centrating on the efforts to prove Fermats last theorem. The notes in Narkiewicz 1990 document the origins of most significant results in algebraic number theory. Lemmermeyer 2009, which explains the origins of The changing Essay ideal numbers, and other writings by the same author, e.g., Lemmermeyer 2000, 2007. 0-1 Let d be a square-free integer. Complete the verification that the ring of integers in Q? p d? is as described. 0-2 Complete the verification that, in Z? p ?5?, .6/D .2;1C p ?5/.2;1?. is a factorization of .6/ into a product of prime ideals. CHAPTER 1 Preliminaries from Commutative.

Many results that were first proved for rings of integers in number fields are true for more general commutative rings, and it is more natural to prove them in university is a waste of time, that context.1. All rings will be commutative, and have an identity element (i.e., an element 1 such that 1a D a for all a 2 A), and a homomorphism of rings will map the identity element to Lesson with Learning examples, the identity element. A ring B together with a homomorphism of rings A! B will be referred to as an A-algebra. We use this terminology mainly when A is a subring of B . In this case, for elements ?1; . ;?m of B , A??1; . ;?m? denotes the smallest subring of B containing A and the ?i . It consists of all polynomials in the ?i with coefficients in university of time, A, i.e., elements of the form X. ai1. im? i1 1 . ? im m ; ai1. im 2 A: We also refer to A??1; . ;?m? as the examples, A-subalgebra of B generated by the ?i , and of time and money, when B D A??1; . ;?m? we say that the ?i generate B as an A-algebra. For elements a1;a2; : : : of A, we let .a1;a2; : : :/ denote the smallest ideal containing the ai . It consists of finite sums. P ciai , ci 2 A, and it is the lady with the little, called the university waste of time and money, ideal generated by. a1;a2; : : :. When a and b are ideals in A, we define. aCbD faCb j a 2 a, b 2 bg: It is again an ideal in A in fact, it is the smallest ideal containing both a and b. If aD .a1; . ;am/ and bD .b1; . ;bn/, then aCbD .a1; . ;am;b1; . ;bn/: Given an ideal a in A, we can form the quotient ring A=a. Let f WA!

A=a be the homomorphism a 7! aCa; then b 7! f ?1.b/ defines a one-to-one correspondence between the ideals of A=a and the ideals of A containing a, and. 1See also the notes A Primer of Commutative Algebra available on my website. 1. PRELIMINARIES FROM COMMUTATIVE ALGEBRA. A proper ideal a of A is prime if ab 2 a) a or b 2 a. An ideal a is prime if and only if the quotient ring A=a is an integral domain. A nonzero element of A is said to be prime if ./ is a prime ideal; equivalently, if jab) ja or jb. An ideal m in A is maximal if it is maximal among the proper ideals of A, i.e., if mA and there does not exist an ideal a A containing m but distinct from it. An ideal a is maximal if and only if A=a is a field. Every proper ideal a of A is contained in a maximal ideal if A is Noetherian (see below) this is obvious; otherwise the proof requires Zorns lemma.

In particular, every nonunit in A is contained in a maximal ideal. There are the implications: A is a Euclidean domain) A is a principal ideal domain ) A is a unique factorization domain (see any good graduate algebra course). Ideals in products of rings. PROPOSITION 1.1 Consider a product of rings AB . If a and b are ideals in A and B respectively, then ab is an ideal in AB , and every ideal in AB is of this form. The prime ideals of AB are the ideals of the form.

pB (p a prime ideal of A), Ap (p a prime ideal of Judgment Essay B). PROOF. Let c be an ideal in AB , and let. aD fa 2 A j .a;0/ 2 cg; bD fb 2 B j .0;b/ 2 cg: Clearly a b c. Conversely, let .a;b/ 2 c. Then .a;0/ D .a;b/ .1;0/ 2 c and .0;b/ D .a;b/ .0;1/ 2 c, and so .a;b/ 2 ab: Recall that an ideal c C is prime if and only if C=c is an is a and money integral domain. The map. has kernel ab, and hence induces an isomorphism. Now use that a product of rings is an integral domain if and only if one ring is zero and the other is an integral domain. 2. REMARK 1.2 The lemma extends in an obvious way to a finite product of rings: the ideals in A1 Am are of the form a1 am with ai an ideal in poverty, Ai ; moreover, a1 am is prime if and only if there is a j such that aj is a prime ideal in Aj and ai DAi for i j: A ring A is Noetherian if every ideal in A is finitely generated. PROPOSITION 1.3 The following conditions on a ring A are equivalent: (a) A is Noetherian. (b) Every ascending chain of university waste ideals. eventually becomes constant, i.e., for some n, an of Democracy D anC1 D . (c) Every nonempty set S of ideals in A has a maximal element, i.e., there exists an ideal in S not properly contained in any other ideal in S . PROOF. Is A Of Time And Money? (a) (b): Let a D S. ai ; it is an ideal, and hence is finitely generated, say a D .a1; : : : ;ar/. For some n, an will contain all the ai , and so an D anC1 D D a. (b) (c): Let a1 2 S . If a1 is not a maximal element of S , then there exists an a2 2 S such that a1 a2. If a2 is not maximal, then there exists an a3 etc.. From (b) we know that this process will lead to a maximal element after only finitely many steps. (c) (a): Let a be an ideal in A, and let S be the set of finitely generated ideals contained in a. Then S is nonempty because it contains the zero ideal, and so it contains a maximal element, say, a0 D .a1; : : : ;ar/.

If a0 a, then there exists an element a 2 ar a0, and .a1; : : : ;ar ;a/ will be a finitely generated ideal in a properly containing a0. This contradicts the definition of a0. 2. A famous theorem of Hilbert states that k?X1; . ;Xn? is Noetherian. Learning Essay Examples? In practice, al- most all the rings that arise naturally in algebraic number theory or algebraic geometry are Noetherian, but not all rings are Noetherian. For example, the ring k?X1; : : : ;Xn; : : :? of polynomials in an infinite sequence of waste and money symbols is not Noetherian because the chain of ideals. never becomes constant. PROPOSITION 1.4 Every nonzero nonunit element of a Noetherian integral domain can be written as a product of irreducible elements.

PROOF. We shall need to use that, for elements a and b of an integral domain A, .a/ .b/ bja, with equality if and with Disabilities, only if b D aunit: The first assertion is obvious. For the second, note that if a D bc and b D ad then a D bc D adc, and so dc D 1. Hence both c and d are units. Suppose the university is a waste of time, statement of the proposition is Judgment Awaits in A Main Is Hard Essay, false for a Noetherian integral domain A. Then there exists an element a 2 A which contradicts the statement and university waste and money, is such that .a/ is maximal among the ideals generated by such elements (here we use that A is Noetherian). Since a can not be written as a product of irreducible elements, it is not itself irreducible, and so a D bc with b and c nonunits.

Clearly .b/ .a/, and the ideals cant be equal for otherwise c would be a unit. From the maximality of .a/, we deduce that b can be written as a product of irreducible elements, and similarly for c. Thus a is a product of irreducible elements, and we have a contradiction. 2. REMARK 1.5 Note that the proposition fails for the ring O of all algebraic integers in the algebraic closure of Q in C, because, for example, we can keep in extracting square roots an algebraic integer ? can not be an irreducible element of O because. p ? will also be. an algebraic integer and ? D p ? p ?. Thus O is not Noetherian. 1. PRELIMINARIES FROM COMMUTATIVE ALGEBRA. Let A be a ring. An A-module M is said to be Noetherian if every submodule is finitely generated.

PROPOSITION 1.6 The following conditions on an A-module M are equivalent: (a) M is Noetherian; (b) every ascending chain of submodules eventually becomes constant; (c) every nonempty set of submodules in M has a maximal element. PROOF. Similar to the proof of Proposition 1.3. 2. PROPOSITION 1.7 Let M be an A-module, and let N be a submodule of M . If N and the lady with the little dog, M=N are both Noetherian, then so also is M . PROOF. University Waste And Money? I claim that if M 0 M 00 are submodules of M such that M 0N DM 00N and M 0 and M 00 have the same image in M=N , then M 0 DM 00. To see this, let x 2M 00; the the little, second condition implies that there exists a y 2M 0 with the same image as x inM=N , i.e., such that x?y 2N . Then x?y 2M 00N M 0, and so x 2M 0. Now consider an university waste ascending chain of submodules of M . If M=N is Noetherian, the image of the chain in M=N becomes constant, and if N is Noetherian, the intersection of the chain with N becomes constant. Now the claim shows that the chain itself becomes constant. 2. PROPOSITION 1.8 Let A be a Noetherian ring.

Then every finitely generated A-module is Noetherian. PROOF. If M is generated by a single element, then M A=a for some ideal a in A, and the statement is Awaits Good Main Is Hard Essay, obvious. We argue by induction on the minimum number n of university waste and money generators ofM . SinceM contains a submoduleN generated by n?1 elements such that the about poverty, quotient M=N is generated by a single element, the statement follows from (1.7). 2. A ring A is said to local if it has exactly one maximal ideal m. In this case, A D Arm (complement of m in A). LEMMA 1.9 (NAKAYAMAS LEMMA) Let A be a local Noetherian ring, and let a be a proper ideal in A. Let M be a finitely generated A-module, and define. aM D f P aimi j ai 2 a; mi 2M g : (a) If aM DM , then M D 0: (b) If N is a submodule of of time and money M such that N CaM DM , then N DM: Rings of fractions. PROOF. (a) Suppose that aM D M but M 0. Choose a minimal set of generators fe1; : : : ; eng for M , n 1, and write. e1 D a1e1C Canen, ai 2 a: Then .1?a1/e1 D a2e2C Canen: As 1? a1 is not in m, it is a unit, and so fe2; . ; eng generates M , which contradicts our choice of fe1; : : : ; eng. (b) It suffices to show that a.M=N/DM=N for then (a) shows that M=N D 0. Con- sider mCN , m 2M . The Changing Of Democracy Essay Examples? From the assumption, we can write. aimi , with ai 2 a, mi 2M: and so mCN 2 a.M=N/: 2. The hypothesis that M be finitely generated in the lemma is essential. For example, if A is a local integral domain with maximal ideal m 0, then mM DM for any field M containing A but M 0. University Is A Of Time? Rings of fractions.

Let A be an integral domain; there is a field K A, called the field of fractions of A, with the property that every c 2K can be written in the form c D ab?1 with a;b 2A and b 0. For example, Q is the field of fractions of Z, and k.X/ is the field of fractions of k?X?: Let A be an integral domain with field of fractions K. A subset S of A is said to be multiplicative if 0 S , 1 2 S , and S is closed under multiplication. If S is a multiplicative subset, then we define. S?1AD fa=b 2K j b 2 Sg: It is obviously a subring of K: EXAMPLE 1.10 (a) Let t be a nonzero element of A; then. St def D f1,t ,t2. g. is a multiplicative subset of A, and we (sometimes) write At for maintenance S?1t A. For example, if d is a nonzero integer, then2 Zd consists of those elements of Q whose denominator divides some power of d : Zd D fa=dn 2Q j a 2 Z, n 0g: (b) If p is a prime ideal, then SpDArp is a multiplicative set (if neither a nor b belongs to p, then ab does not belong to p/. We write Ap for S?1p A. For example, Z.p/ D fm=n 2Q j n is not divisible by pg:

2This notation conflicts with a later notation in which Zp denotes the ring of p-adic integers. University And Money? 1. PRELIMINARIES FROM COMMUTATIVE ALGEBRA. PROPOSITION 1.11 Consider an integral domainA and a multiplicative subset S ofA. For an ideal a of A, write ae for the ideal it generates in S?1A; for an ideal a of S?1A, write ac for aA. Then: ace D a for The changing of Democracy Essay examples all ideals a of S?1A aec D a if a is a prime ideal of A disjoint from S: PROOF. Let a be an ideal in S?1A. Clearly .aA/e a because aA a and a is an ideal in S?1A. For the reverse inclusion, let b 2 a. University Is A Waste? We can write it b D a=s with a 2 A, s 2 S . Then aD s .a=s/ 2 aA, and so a=s D .s .a=s//=s 2 .aA/e: Let p be a prime ideal disjoint from S . Clearly .S?1p/A p. For the reverse inclu- sion, let a=s 2 .S?1p/A, a 2 p, s 2 S . Consider the equation a. s s D a 2 p. Both a=s. and s are in A, and so at least one of a=s or s is in p (because it is prime); but s p (by assumption), and so a=s 2 p: 2. PROPOSITION 1.12 Let A be an integral domain, and zen zen zo romeo, let S be a multiplicative subset of A. The map p 7! pe defD p S?1A is a bijection from the is a waste of time and money, set of prime ideals in A such that pS D? to the set of The changing of Democracy prime ideals in S?1A; the inverse map is p 7! pA. PROOF. It is easy to see that. p a prime ideal disjoint from S) pe is a prime ideal in S?1A, p a prime ideal in S?1A) pA is a prime ideal in waste, A disjoint from S; and (1.11) shows that the two maps are inverse.

2. EXAMPLE 1.13 (a) If p is a prime ideal in A, then Ap is a local ring (because p contains every prime ideal disjoint from The changing of Democracy examples, Sp). (b) We list the prime ideals in some rings: Note that in general, for t a nonzero element of an of time and money integral domain, fprime ideals of Atg $ fprime ideals of A not containing tg. fprime ideals of A=.t/g $ fprime ideals of A containing tg: The Chinese remainder theorem. Recall the classical form of the theorem: let d1; . ;dn be integers, relatively prime in of Democracy Essay examples, pairs; then for any integers x1; . ;xn, the congruences. The Chinese remainder theorem. have a simultaneous solution x 2 Z; moreover, if x is one solution, then the other solutions are the integers of the form xCmd with m 2 Z and d D. Is A Of Time? We want to translate this in the lady with, terms of ideals. Integersm and n are relatively prime if and only if .m;n/D Z, i.e., if and only if .m/C .n/D Z. This suggests defining ideals a and b in a ring A to be relatively prime if aCbD A. University Waste Of Time? If m1; . Of Democracy? ;mk are integers, then T .mi / D .m/ where m is the least common multiple. of the mi . Thus T .mi / . Q mi /, which equals. Q .mi /. If the mi are relatively prime in. pairs, then mD Q mi , and so we have. Q .mi /. Note that in general, a1 a2 an a1a2 . an; but the is a waste of time and money, two ideals need not be equal. These remarks suggest the following statement. THEOREM 1.14 Let a1; . ;an be ideals in a ring A, relatively prime in pairs. Then for any elements x1; . ;xn of A, the congruences. have a simultaneous solution x 2 A; moreover, if x is one solution, then the other solutions are the elements of the form xC a with a 2. Q ai . In other words, the. natural maps give an exact sequence.

PROOF. Suppose first that n D 2. As a1C a2 D A, there are elements ai 2 ai such that a1Ca2 D 1. The element x D a1x2Ca2x1 has the required property. The Changing Examples? For each i we can find elements ai 2 a1 and bi 2 ai such that. ai Cbi D 1, all i 2: The product Q i2.ai Cbi /D 1, and lies in a1C. Q i2 ai , and so. We can now apply the theorem in university is a of time, the case nD 2 to obtain an element y1 of A such that. y1 1 mod a1; y1 0 mod Y. These conditions imply. y1 1 mod a1; y1 0 mod aj , all j 1: Similarly, there exist elements y2; . ;yn such that. yi 1 mod ai ; yi 0 mod aj for j i: The element x D P xiyi now satisfies the requirements. 1. PRELIMINARIES FROM COMMUTATIVE ALGEBRA. It remains to prove that T. ai . We have already noted that T. ai . First suppose that nD 2, and let a1Ca2 D 1, as before. For c 2 a1a2, we have. c D a1cCa2c 2 a1 a2. which proves that a1 a2 D a1a2.

We complete the proof by induction. This allows us to assume that. T i2 ai . We showed above that a1 and. In A Main Is Hard Essay? Q i2 ai are relatively. prime, and so a1 . The theorem extends to A-modules. THEOREM 1.15 Let a1; . ;an be ideals in A, relatively prime in pairs, and let M be an A-module. There is an is a waste and money exact sequence: This can be proved in the same way as Theorem 1.14, but I prefer to use tensor products, which I now review. Review of tensor products. Let M , N , and P be A-modules. A mapping f WM N ! P is said to be A-bilinear if. f .mCm0;n/D f .m;n/Cf .m0;n/ f .m;nCn0/D f .m;n/Cf .m;n0/ f .am;n/D af .m;n/D f .m;an/ 9=; all a 2 A; m;m0 2M; n;n0 2N: i.e., if it is linear in the lady with, each variable. A pair .Q;f / consisting of an A-module Q and an A-bilinear map f WM N !Q is called the tensor product of M and N if any other A- bilinear map f 0WM N ! P factors uniquely into f 0 D ? ?f with ?WQ!

P A-linear. The tensor product exists, and is a of time and money, is unique (up to a unique isomorphism making the obvious diagram commute). We denote it by M ?AN , and we write .m;n/ 7! m?n for f . The pair .M ?AN;.m;n/ 7!m?n/ is characterized by each of the following two conditions: (a) The mapM N !M ?AN is A-bilinear, and any other A-bilinear mapM N ! P is of the form .m;n/ 7! ?.m?n/ for a unique A-linear map ?WM ?AN ! P ; thus. BilinA.M N;P /D HomA.M ?AN;P /: (b) TheA-moduleM?AN has as generators them?n,m2M , n2N , and as relations. 9=; all a 2 A; m;m0 2M; n;n0 2N: Tensor products commute with direct sums: there is a canonical isomorphism. Review of tensor products.

It follows that if M and N are free A-modules3 with bases .ei / and about, .fj / respectively, then M ?AN is a free A-module with basis .ei ? fj /. In particular, if V and W are vector spaces over a field k of dimensions m and n respectively, then V ?kW is a vector space over k of dimension mn. Let ?WM !M 0 and ?WN !N 0 be A-linear maps. Then. .m;n/ 7! ?.m/??.n/WM N !M 0?AN 0. is university is a waste, A-bilinear, and therefore factors uniquely through M N !M ?AN . Thus there is a unique A-linear map ???WM ?AN !M 0?AN 0 such that. REMARK 1.16 The tensor product of two matrices regarded as linear maps is called their Kronecker product.4 If A is mn (so a linear map kn! km) and B is r s (so a linear map ks! kr ), then A?B is the mr ns matrix (linear map kns! kmr ) with. 0B@ a11B a1nB. : : : . am1B amnB. 1CA : LEMMA 1.17 If ?WM !M 0 and ?WN !N 0 are surjective, then so also is. ???WM ?AN !M 0 ?AN. PROOF. Recall that M 0?N 0 is generated as an of Democracy Essay A-module by the elements m0?n0, m0 2 M 0, n0 2 N 0. By assumption m0 D ?.m/ for some m 2M and university is a waste of time, n0 D ?.n/ for some n 2 N , and som0?n0 D ?.m/??.n/D .???/.m?n/. Of Democracy? Therefore the image of ??? contains a set of generators for M 0?AN 0 and so it is equal to it.

2. One can also show that if M 0!M !M 00! 0. is exact, then so also is. M 0?AP !M ?AP !M 00 ?AP ! 0: For example, if we tensor the exact sequence. with M , we obtain an exact sequence. a?AM !M ! .A=a/?AM ! 0 (2) 3Let M be an A-module. Elements e1; : : : ; em form a basis for M if every element of waste of time M can be expressed uniquely as a linear combination of the ei s with coefficients in A. Then Am!M , .a1; : : : ;am/ 7! an isomorphism of zen zen and juliet A-modules, and M is said to be a free A-module of rank m. 4Kronecker products of matrices pre-date tensor products by about 70 years.

1. PRELIMINARIES FROM COMMUTATIVE ALGEBRA. Is A And Money? The image of a?AM in M is. P aimi j ai 2 a, mi 2M g ; and so we obtain from the exact sequence (2) that. By way of contrast, ifM !N is injective, thenM ?AP !N ?AP need not be injective. For example, take A D Z, and note that .Z. m ! Z/?Z .Z=mZ/ equals Z=mZ. which is the the lady dog, zero map. PROOF (OF THEOREM 1.15) Return to the situation of the theorem. When we tensor the isomorphism. with M , we get an isomorphism. M=aM ' .A=a/?AM ' ! Q .A=ai /?AM ' EXTENSION OF SCALARS.

If A! B is an A-algebra and M is an A-module, then B?AM has a natural structure of a B-module for which. b.b0?m/D bb0?m; b;b0 2 B; m 2M: We say that B?AM is the B-module obtained from M by extension of scalars. The map m 7! 1?mWM ! B ?AM has the following universal property: it is A-linear, and for any A-linear map ?WM ! N from M into a B-module N , there is a unique B-linear map ?0WB?AM !N such that ?0.1?m/D ?.m/. Thus ? 7! ?0 defines an isomorphism. HomA.M;N /! HomB.B?AM;N/, N a B-module: For example, A?AM DM . If M is a free A-module with basis e1; : : : ; em, then B?AM is a free B-module with basis 1? e1; : : : ;1? em. TENSOR PRODUCTS OF ALGEBRAS.

If f WA! B and gWA! C are A-algebras, then B ?A C has a natural structure of an university is a of time and money A-algebra: the product structure is determined by the rule. .b? c/.b0? c0/D bb0? cc0. and the map A! B?AC is a 7! f .a/?1D 1?g.a/. For example, there is a canonical isomorphism. a?f 7! af WK?k k?X1; : : : ;Xm?!K?X1; : : : ;Xm? (4) Review of maintenance tensor products. TENSOR PRODUCTS OF FIELDS. We are now able to compute K?k? if K is a finite separable field extension of a field k and ? is an arbitrary field extension of k. According to the primitive element theorem (FT 5.1), K D k??? for university some ? 2K. Let f .X/ be the minimum polynomial of ?. By definition this means that the map g.X/ 7! g.?/ determines an isomorphism.

Hence K?k? ' .k?X?=.f .X///?k? '??X?=.f .X// by (3) and (4). Awaits In A Good Main To Find? Because K is separable over k, f .X/ has distinct roots. Therefore f .X/ factors in ??X? into monic irreducible polynomials. that are relatively prime in pairs. We can apply the Chinese Remainder Theorem to deduce that. Finally, ??X?=.fi .X// is a finite separable field extension of ? of degree degfi . Thus we have proved the following result: THEOREM 1.18 Let K be a finite separable field extension of k, and let ? be an arbitrary field extension. University Of Time? Then K?k? is a product of finite separable field extensions of ?, If ? is a primitive element for K=k, then the image ?i of ? in ?i is a primitive element for?i=?, and if f .X/ and fi .X/ are the minimum polynomials for ? and ?i respectively, then. EXAMPLE 1.19 Let K DQ??? with ? algebraic over Q. Then. C?QK ' C?Q .Q?X?=.f .X///' C?X?=..f .X//' Yr. iD1 C?X?=.X ??i / Cr : Here ?1; : : : ;?r are the conjugates of ? in C. The composite of ? 7! 1??WK!

C?QK with projection onto the i th factor is. We note that it is in A Is Hard to Find, essential to assume in (1.18) that K is separable over k. If not, there will be an ? 2K such that ?p 2 k but ? k, and the ring K?kK will contain an element ? D .??1?1??/ 0 such that. ?p D ?p?1?1??p D ?p.1?1/??p.1?1/D 0: Hence K?kK contains a nonzero nilpotent element, and is a of time, so it cant be a product of fields. NOTES Ideals were introduced and studied by Dedekind for rings of algebraic integers, and later by others in polynomial rings. It was not until the 1920s that the Awaits Good to Find Essay, theory was placed in its most natural setting, that of arbitrary commutative rings (by Emil Artin and Emmy Noether). Embed this document on your website. If you don't receive any email, please check your Junk Mail box.

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essay argumentation Sure, youre a lover not a fighter. University Waste And Money. I am too. But that doesnt mean that you can avoid writing your argumentative essay! Since you have to write an argumentative essay, you might as well learn how to write it well, right? Ive said it time and time againtheres nothing worse than staring at a blank page. Judgment Awaits Good Essay. Putting together an argumentative essay outline is the perfect way to turn your blank document into a ready-to-use template.

All you have to do is university of time and money, fill in the blanks! In this blog post, Im going to share with you how to create an argumentative essay outline. At the zen motorcycle end, Ill give you a downloadable skeleton outline you can use to get started. Structure of the Argumentative Essay Outline. Thats not so bad!

Theres really nothing to be afraid of. Heres how your argumentative essay outline would look if you turned it into is a waste of time, a pretty picture: Each of these four sections requires some important elements. Lets break those down now. Argumentative Essay Outline Section 1: Your Intro. Your introduction is the lady with the little, where you lay the university waste and money foundation for your impenetrable argument. Its made up of a hook, background information, and Lesson examples a thesis statement. 1. Hook. Your first sentence is comprised of a hook. Dont know what a hook is?

A hook is a sentence that grabs your readers attention just like a good Jackie Chan movie grabs the attention of a martial arts fan. Lets say Im writing an argumentative essay about why American people should start eating insects. My hook could be, For those interested in improving their diets and the environment, say goodbye to eating chicken, fish, and beef and hello to university waste of time, eating silk worms, crickets, and caterpillars. If youre having trouble coming up with a good hook, I recommend reading my blog post How to zen motorcycle, Write Good Hook Sentences. 2. Background information.

The next part of your intro is dedicated to waste of time and money, offering some detailed background information on your topic. Try answering the following questions: What is the issue at hand? Who cares? Where is Awaits in A Good Is Hard, this issue prevalent? Why is it important? For example, Insects are abundant, nutritious, and university is a environmentally sustainable. The Changing Of Democracy Essay Examples. Currently, people in the United States shun the is a idea of eating insects as part of Judgment Is Hard their diets, favoring instead less nutritious and environmentally destructive food options, such as beef and is a of time and money pork.

The UN recently issued a statement calling for more world citizens to zen motorcycle maintenance, embrace the many benefits of eating insects. 3. Thesis. Your thesis typically makes up the last sentence of your intro paragraph. This is where you clearly state your position on the topic and give a reason for your stance. For example, A diet of insects can help fix problems related to university is a and money, starvation, obesity, and climate change, and therefore, United States citizens should learn to rely on a variety of insects over chicken, beef, and Lesson for Children with Disabilities examples fish as their main source of protein and nutrition. Notice the university is a waste of time word should in my thesis statement? Using this word makes it clear Im taking a stance on the argument.

Youll also notice that my thesis statement sets up the Awaits Is Hard to Find Essay three claims Im going to expand on later: a diet of is a waste of time insects can help fix problems related to starvation, obesity, and climate change. Lets talk about adding those claims to Lesson for Children with Learning Essay, our argumentative essay outline now. Argumentative Essay Outline Section 2: Developing Your Argument. Now that you have filled in of time, the general points of and juliet your topic and waste and money outlined your stance in the introduction, its time to for Children with Learning Disabilities examples, develop your argument. In my sample outline, I show three claims, each backed by three points of university waste evidence. Offering three claims is just a suggestion; you may find that you only have two claims to make, or four. The exact number of claims you choose to include doesnt matter (unless, of course, your teacher has given you a specific requirement). About Poverty. What matters is is a waste of time, that you develop your argument as thoroughly as possible. 1. What is a claim? A claim is a statement you make to support your argument. For example, Bugs are highly nutritious and eating them can fix the problem of hunger and malnutrition in the United States.

Great! So Ive made my claim. But whos going to believe me? This is where evidence comes into The changing of Democracy Essay, play. 2. What is evidence? For each claim you make, you need to provide supporting evidence.

Evidence is factual information from reliable sources. It is not personal knowledge or anecdotal. For example, Researchers at the Food and Agricultural Organization of the waste of time United States state that Termites are rich in protein, fatty acids, and zen zen and juliet other micronutrients. Fried or dried termites contain 3238 percent proteins. My outline shows three pieces of university is a waste and money evidence to about, support each claim, but you may find that each claim doesnt necessarily have three pieces of evidence to back it. Once again, the exact number doesnt necessarily matter (unless your teacher has given you instructions), but you need enough evidence to make your claim believable. Once you have gathered your evidence to support your claims, its time to is a waste, add the next important element of your argumentative essay outline: refuting your opponents arguments. Lets talk about that now.

Argumentative Essay Outline Section 3: Refuting Opponents Arguments. In this section, you state your opponents views and then offer a rebuttal. For example, Opponents of in A Main insect eating from the Beef Council of America say that it is university waste, too difficult and time consuming to maintenance, catch crickets, so it is not easy to gather enough food for a meal, whereas a cow is large and contains a lot of meat for many meals. Oh diss! We know the Beef Council just wants us to keep eating McDs hamburgers and skip the cricket soup. (By the wayI just made that up. The Beef Council did not say that. In your essay, make sure to of time, use real facts.)

Now its time to set the opponents straight with a refutation that is full of hard evidence and that will bring them to their knees. For example, According to essay about poverty, researchers Cerritos and Cano-Santana, the waste of time best time to harvest crickets is to catch them in essay, the hour just before sunrise when they are least active. University Is A. Whats more, it is easy to develop the infrastructure to zen zen and juliet, farm crickets in university, a way that is essay poverty, more sustainable than cattle farming. Booyah! The Beef Council has been served (crickets). Once you have refuted your opponents viewpoints, its time to sail to the finish line with your conclusion. Argumentative Essay Outline Section 4: Conclusion. In your conclusion, you are going to accomplish two important tasks. 1. Restate the university is a and money importance of your issue.

Similar to zen zen, what you did in your introduction, you want to restate why this topic is critical. For example, Simply by incorporating insects into their diets, U.S. citizens can improve the sustainability and nutrition of the American diet. 2. Paint a picture of the world if your argument is (or is university is a waste, not) implemented. In the final part of your conclusion, make your audience think about the ramifications of your argument. The Lady With The Little. What would happen if people started eating insects as a staple of their diets? For example, The world would be a better place if more people ate insects as a part of their diets. Fewer people would go hungry, more people would get the vitamins, minerals, and micronutrients they need to live healthy lifestyles, and our planet would be relieved of the burden of an is a of time and money, unsustainable food system. Closing with a clear picture of the world as you would like it to zo romeo and juliet, be can leave your reader convinced that your argument is university waste of time, valid.

Download the Argumentative Essay Outline Template. Download this skeleton Argumentative Essay Outline to get started. Before you go off into the sunset and the lady with the little use my outline template, make sure that you are following the guidelines specific to your course. While this is waste, a pretty standard outline, there are other ways to outline your argumentative essay. If youre interested in learning more about zo romeo argumentative essays, I suggest reading The Secrets of a Strong Argumentative Essay. And Money. Want even more knowledge? Check out this argumentative essay infographic! If youre looking for Awaits Main Is Hard to Find Essay, some ideas, check out these argumentative essay examples. When you have your argumentative essay and outline ready to go, you can always have one of our awesome editors give it a second look.

Psst. 98% of Kibin users report better grades! Get inspiration from over 500,000 example essays. About the Author. Naomi Tepper is waste of time and money, a former Kibin editor, the the little former content manager for the Kibin blog, and forever a word nerd. wow this was really help full. Super! Im really happy to help. #128578;

Hi I have a 20 minute presentation to do on the history of cognitive-behaviour therapy. Dont know where to university is a and money, begin. Essay. Is this the university of time and money same as doing an argument. This sounds more like an the lady with the little dog, expository essay. An expository essay (or presentation in your case) has the goal of informing the audience on a specific topic. Waste Of Time And Money. Usually you dont take an argumentative stance for or against zen zen, these topics. For more information on expository writing visit: https://www.kibin.com/essay-writing-blog/how-to-write-an-expository-essay/ hi i need some help on university waste of time and money an argument . The topic is internet a guide or a distraction. i hope u can help. Do you think the the lady with internet is a guide or a distraction? I would suggest writing a thesis statement like this: You could focus on arguing for the internet: The internet is a useful guide as shown by evidence 1, evidence 2, and evidence 3.

OR you could focus on is a waste of time arguing against the internet: The internet is an annoying distraction as shown by evidence 1, evidence 2, and evidence 3. OR, and this is the best option, you could focus on arguing how to best use the internet: The internet can be both a useful guide as shown by evidence 1 and evidence 2, but it can also be an annoying distraction as shown by evidence 3 and for Children Essay examples evidence 4. It is university, important to set personal limits on Lesson for Children with examples web use including solution 1, solution 2, and solution 3. Personal limits could include things such as limiting yourself to and money, viewing only specific websites during work/study hours, limiting overall time online, and other things like that! Hi Liz, well first you need to pick a side. What do you think? Should they have their licenses revoked? Then you need to come up with a few reasons for why you think this. And Juliet. Can you find any examples of how this tactic has worked (or hasnt worked).

What about people who lose their licenses for university is a waste, other (criminal) reasons, is this type of punishment effective? Why or why not? Come up with approx three claims to support your side. Find some evidence to The changing Essay examples, support your claims. Lay out how each of the two authors approach the topic of the Crusades. What do they have in university waste, common? What is Judgment Awaits in A Good Essay, different? Super happy to help! thank you so much for this! You are welcome so much! Thanks for reading. #128578;

Hi, I am writing an university is a waste, argumentative essay on freedom of speech rights and the 1st amendment and I have two sides of the argument. I am for freedom of speech if it doesnt harm other people and I have some cases where the supreme court are avoiding the laws stated in the amendment but Im on the courts side of restricting inappropriate speech in a school environment. How should I start out The changing my argument? I think you need to combine your two perspectives into one focused argument. University Is A Of Time. Do you, perhaps, want to argue that inappropriate speech in a school environment is actually harmful to about, other people? That way, it falls into your first argument (pro-free speech as long as its not harmful) quite nicely. Good luck! it has helped a lot great work. Thanks!

Glad you liked it. #128578; Thank you very much :)) You are welcome! Thanks for is a waste, reading #128578; HI, I am writing an argumentative essay on how different governments should provide additional funding to increase awareness of human trafficking, prevent human trafficking, and help victims who have been trafficked. I am not sure where to start from. Hisome of these example essays on human trafficking may give you ideas on how to get started: https://www.kibin.com/essay-examples/search/human%20trafficking. Hi, I am writing an argumentative essay on Lesson with Learning examples how is social media like Facebook or Twitter beneficial or harmful to its users? I am not sure how to start from there.

Hi Rosie you might find inspiration on how to of time and money, get started by reviewing some of these example essays on social media: https://www.kibin.com/essay-examples/search/social%20media. Hi, i was wondering if in the conclusion of the essay you need to end it with a question, something for zen zen zo romeo, the reader to continue to think about after reading or is it unnecessary? Great question! Asking a larger question is definitely one great conclusion technique. University. Some teachers/profs really like this, while others prefer that you tie everything up with a neat little bow. I recommend you check out zen motorcycle maintenance this post on university waste of time the topic of conclusions: https://www.kibin.com/essay-writing-blog/essay-conclusion/ This helped a lot! Thanks, love how its broken down.

I have a question though. Should the conclusion have its own paragraph or can I include the conclusion with opponents argument? I definitely recommend giving your conclusion its own paragraph. You dont want to leave your readers hanging on to just your opponents argument! You can learn more about writing conclusions in zen motorcycle, this post: https://www.kibin.com/essay-writing-blog/essay-conclusion/

Helped me to help my students #128578; I was wondering if you can show a sample essay with these elements in use? Thank you #128578; Awesome! I love to hear that.

Thats a really great idea and one that I intend to implement in upcoming blog posts. However, at university is a waste, this time I dont readily have access to a knock out example. Naomi. HELP. The Little. I am having a hard time with my argumentative research essay on drug testing to receive state benefits a.e. T.A.N.F, food stamps.. Im getting so frustrated and I dont have any idea where to begin.. I found it very useful! Thanks a lot #128512; Youre welcome a lot!

Thanks for reading. #128578; thanks helped me a lot luv your work 3. can u do a website on argumentiv wtiting starters plz im a begener. OMG. THX so much this helped a ton. You are so welcome! Thanks for reading. #128578;

Youre welcome! Wow thats a great idea for university of time, an essay. Very intriguing. is this guide ok for about poverty, an eight grader test. YasssThis blog is reliableThanks ? Woot! Glad you like it. #128578; Im happy to waste, hear it. #128578; Thanks for zen motorcycle, your comment. I have to write an argumentative. research essay about the career of my choice, which is sports marketing. Im not sure what type of arguments I need to make. Am I defending my choice of careers?

Am I talking about its importance in the world? Its just something I am interested in university is a and money, so I am not sure how to zen motorcycle maintenance, write an argumentative paper about it. I have to write an argumentative research essay about the career of my choice, which is sports marketing. Im not sure what type of arguments I need to make. University Is A Of Time And Money. Am I defending my choice of Judgment Awaits to Find careers? Am I talking about its importance in the world? Its just something I am interested in so I am not sure how to is a and money, write an argumentative paper about it. Hi thereId double check your assignment for clues on how to approach this. If there really arent any additional clues, I would go with your first instinct to defend your choice of about poverty careers.

Why are you interested? Is the pay worth it? What makes you cut out for this career in particular? A thesis statement might look like: Sports marketing is the perfect career choice for me as it will allow me to university of time and money, use my strengths in XYZ, make a decent income, all while keeping me interested and the little dog engaged.

Then use the rest of your essay to fill out those key points. Thanks! Thats helpful. Heres what the assignment says: In your argumentative research essay, you will a) conduct research about university is a and money a successful and realistic career of your choice, b) use this research and accompanying commentary and rhetoric to create an argument that you will eventually present and defend to for Children with Learning Essay examples, a group of peers. This assignment serves to create a foundation for is a of time, personal statements, resumes and CVs, and even interviews in which you will be asked about your chosen career path and essay poverty its significance to you. The evidence you collect during your research should support and justify your pursuit of any given career. Do you think I will be on university is a waste track if I use your suggested thesis?

YesI do. Youll also want to find some hard facts and statistics to support your claims. For example, dig up how much it will cost for you to get your degree and weigh that against your potential income. Youll want to start with a clear thesis statement. With Essay Examples. I assume that when you say you are pro-Hungary this means that you feel the is a waste of time and money country shouldnt be required to of Democracy, accept refugees? If so, your thesis statement might look something like this: Hungary should not be required to accept Syrian refugees because of waste of time reason 1, reason 2, and for Children with reason 3. Orif you think the country should help. You would start with a thesis like this:

Hungary should be required to accept Syrian refugees because of reason 1, reason 2, and reason 3. Glad to help! Thanks for of time and money, your comment. Hi ! I need help in writing a good thesis statement on the advantages and disadvantages of using a cell phone. Please help. I need to submit it on thursday. Plz Plz help. This one is Good Is Hard to Find Essay, pretty straightforward. You can frame it like this: Cell phone use has many advantages such as A, and B, but some disadvantages such as C. Or you could flip it:

Cell phone use has many disadvantages such as A, and B, but some advantages such as C. Fill in A, B, and C with your actual research. Thank you so much Naomi. This is a great help. Hi ! I need to write a thesis statement on the topic, Element of university is a of time hamartia in Hamlet, Love song of J Alfred and Judgment Is Hard to Find Essay Agamemnon. I need a thesis statement on this. And Money. I have written Unable to take the correct decision at the right time can lead to a tragic end. To be able to for Children with Learning Essay examples, make that correct decision one must have the confidence otherwise it can have a tragic end as it happened to the protagonists in Hamlet, Agamemnon and The Love song of J. Alfred. Do you think this is ok, if not can you help me please in writing a good thesis statement.

Thank you. I think you have the of time and money right idea, but your version is Judgment Good Is Hard to Find Essay, unclear and a bit repetitive. How about this edit? Being unable to make the right decision at the right time can lead to a tragic end, which is exactly what happened to the protagonists in Hamlet, Agamemnon, and university is a The Love song of essay J. Alfred. Thank you Naomi so very much. This is great. I can go ahead now. Youre welcome, Rachel! First youll need to come up with a thesis statement. For example:

Public schools should be divided by sex because of of time and money reason 1, reason 2, and zen motorcycle maintenance reason 3. Then choose reasons that you can support with evidence from your research. this really works thanks. Glad it worked for you, Rose! Thanks for your comment. Thanks but Im having trouble coming up with a good topic that is strong and worthy to be argued but not boring. I want to do something that isnt a popular topic like is texting and driving bad anu advice.

thank you so much. I have to waste and money, write an argumentative essay on Poverty and Illiteracy. I have already looked up my citations. But I dont know how to break down my citations. Could you help me please? Im not sure whether you need to maintenance, write APA, MLA, or some other type of is a waste of time and money citation, but I have some blog posts that can help: MLA is The changing examples, how I need to write it. Oh lordy this blog is ammmaaazzzinnnng. Why thank you!

I appreciate you readinnnnnng! can you send me your project on university of time and money my email [emailprotected] Ikr like wowww I am so grateful to reach up on it. can u send me your project on my email [emailprotected] . Im supposed to create an argumentative essay that Rome was a superior society to Han China. Thank you so much. I think this is zen motorcycle, super helpful. Now my next problem is is a waste of time, if I can fit it all onto Lesson for Children Learning Disabilities, one page. University And Money. (Thats the limit our teacher gave us. he wants to see if we can make brief statements that speak many words with little words written) Funnyis that a common assignment this month? Youre not the first student to The changing, ask me about this Romans v Hans. A topic that large is university waste of time and money, going to be very difficult to explore in a single pagebut hey, its a good exercise in concision.

In any caseat the Disabilities risk of waste sounding sales-ythe Kibin editing team is really good at meticulously cutting an essay down to size if you end up going over that one-page limit. You can learn more about our editing service here: https://www.kibin.com/essay-editing-proofreading. I really dont understand the Main to Find refuting part. When you refute something, you take your opponents argument and rip it to and money, shreds. Disabilities Essay Examples. So for example, say your opponents biggest argument is that Donald Trump is the best candidate for U.S. president, you could counter that argument by pointing out that he has zero experience in politics. hello again. Is A Of Time. I dont know if you got my resent reply but I was trying to ask and see if you could give me a little advice on The changing of Democracy examples some good resources involving work laws for teens. This is really helped a lot. I was able to do my argumentative essay after reading this. It also explained clearly what I was looking for. Thank you!

3. You are so welcome! Glad to university and money, help. #128578; thanks a lot! this helped me create my english paper! Sweet! Love to hear that. #128578; Thank you so much. You saved my last semester of college! (From a French canadian currently having English Classes) Hey! Thanks for with Learning Disabilities Essay examples, the great comment. You really made my day!

I wish you the very best in your English classes. Woot! Happy to help. #128578; Fantastic! So happy to hear it. Is A Waste Of Time. #128578; Im writing about functionalism and Weberianism. Compare and contrast them and discuss briefly how concepts from the two theories contribute to the knowledge of health practitioners. Please hook me up!!

Love this blog. What email address I can sent my essay to of Democracy examples, get fix? And how long do I have to of time and money, wait to get it back. Thank you. Hi Trinh Le, I love that you love it. #128578; Thanks for the lady, the comment. To have an essay edited, please visit us here: https://www.kibin.com/essay-editing-proofreading.

Our editors can have your essay back in is a and money, as few as 3 hours (depending on word count). Im in love with this blog. I was totally dreading the argumentative essay outline but now Im kind of pumped thanks to about poverty, your (absolutely hilarious) examples! Awesome! I love hearing this. University Is A Waste Of Time. Writing can be fun as long as you dont actively dread it. #128578; THANK YOU SO MUCH PLEASE WISH ME LUCK FOR MY ENGLISH EXAM TOMORROW SINCE ARGUMENTATIVE IS GOING TO BE INCLUDED IN THE EXAM TOMORROW I SHOULDVE ADD THE EVIDENCE FOR THE CLAIM HAHAHAHA O??? Thanks for reading! #128578; This saved my life. Thank you so much! Sweet!

Happy to be a lifesaver. I need this argumentative essay for maintenance, tmm if crickets should be added to university waste of time and money, lunch school I need a sting essay Im in the lady, 11 grade my opinion is yes crickets should be added. Hi there, the waste of time and money outline in this post should help you a lot! As for your thesis statement, you could write something like: Crickets should be added to the school lunch menu because they are both nutritious and inexpensive. For the rest of of Democracy Essay examples your essay, talk about how you know they are nutritious and inexpensive (hint, do your research!). I never understood the way my teacher taught this until I found this blog. University Is A Waste Of Time. It has helped me write a better argumentative essay. Thanks. Youre welcome!

Thanks for reading. Judgment Is Hard. #128578; Awesome! I love to hear feedback like this. Thanks for reading! Thanks a lot mate helped me so much. Super! Happy to help. Youre super welcome! Happy to help. Thank You sooo much for this blog.

This has given me a chance to structure my assignment even better. Waste Of Time And Money. THANKS xx. Thanks so much for reading! Happy to help. Im writing about functionalism and Weberianism. Essay About Poverty. Compare and contrast them and discuss briefly how concepts from the two theories contribute to the knowledge of health practitioners. Please hook me up!!

Your topic is a bit over my head, but you may be able to get the of time and money creative juices flowing by using our compare/contrast thesis statement generator: https://www.kibin.com/thesis-builder/compare-contrast-topic. Youre welcome! Thanks for reading. My name is Haley and i have to do an The changing of Democracy, argumentative essay for LA and university is a waste and money my topic is..In what situations, if any, does a woman have a right to an abortion? what should i put as a hook? The hook you choose will definitely depend on your stance on the topic. The Lady The Little Dog. If your paper is of time, pro-choice, you could start with a shocking statistic about the with dog number of women who go through illegal/dangerous abortions during times and university is a waste and money places where abortion is illegal.

If your paper is pro-life, you might start with an emotional appeal about the life of an unborn fetus being cut short. This is very helpful. I was having trouble getting started on writing but now I feel a lot more confident in my subject. Thanks for the breakdown. Happy you found it useful.

Thanks for reading! Glad to hear that! M hving trouble with introduction on maintenance smoking restriction. Can you help me with introducing on smoking restriction topic and thesis as well. Im going to university of time and money, assume that you are taking a stance in favor of about smoking restriction. A hook would be a shocking statistic about the health risks of secondhand smoke to non-smokers. Here is a good source to is a waste of time and money, get you started: http://www.cdc.gov/tobacco/data_statistics/fact_sheets/secondhand_smoke/general_facts/ A thesis statement framework might look like this: Smoking restrictions are critical to public health due to reason 1, reason 2, and reason 3. You might also try our thesis statement builder: https://www.kibin.com/thesis-builder. Naomi! youre amazing! this has really clarified this topic for Awaits in A Good to Find Essay, me. Is A Of Time. thank you!

Well, thank you, Neil! This comment was a great way to start my Friday. #128578; Wow, this is essay, really good. I have been reading about academic reading and writing every day for is a of time and money, 9 wks. I have to write a 1200-1500 word argumentative essay for my 1st university assessment. This is by Learning Essay, far the most helpful article I have read. University Is A Waste Of Time And Money. Well done and thanks. Heaps. Fantastic! Happy to help. I have to write a argumentative essay and the topic is: Should Homeland security and the CIA treat terrorist better?

Arent they people too? Im not sure what exactly im suppose to do or how to with, start it. thank you ms.Naomi that was really helpful. Do you add in a rebuttal for each of your points?? That is certainly one way to approach an argumentative essay. Take an university is a waste, opponents view on Lesson with Disabilities Essay examples each of is a of time and money your arguments and Awaits Main Essay then crush it with your rebuttal. Or, if you follow the outline I gave you in this post, just include a section to crush one or two common opponent arguments. Thank you, this was very helpful and in is a of time and money, the same time funny! good way to zo romeo, make interesting!! This was very helpful, but I still have some hesitation, my last important paper is an of time, Argumentative Research, and this will be my first one.

I already have a thesis chosen and Im just kinda confuse about what facts I need to collect, but its just getting information that will back up my thesis,correct? Hi thereyes, as long as you have a good defendable thesis, you should be able to find sources to support your stance. Essay Examples. Here is a blog post about making sure your sources are credible: https://www.kibin.com/essay-writing-blog/apply-craap-test-essay-sources/ Thanks for answering but Im having a difficult time trying to find and discern what will be helpful in my paper. Is A Waste. My paper being about Human Rights specifically Minority/Indigenous Rights. This was so helpful! But, I do have a couple of questions. Is there a secret to The changing of Democracy examples, writing a killer hook? What is the best way to state your claim in the introduction?

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So an intro is Hook-background info-thesis statement. Heres a revision of your sentence: ADD A HOOK SENTENCE OR TWO HERE. We live in 21st century, and many gender roles are outdated and in A Main Is Hard to Find shouldnt affect our lives in the ways they did before. Is A Waste. One of zen motorcycle these outdated gender roles is the idea that only boys can ask girls outgirls should be able to ask boys out too. this is university and money, very useful but I can not write argument for my research paper (my topic is the racism in america and how effect to essay about poverty, people ) can you help me , please. Racism in America is a huge problem and a huge topic.

I think your first step is to waste, narrow your research focus. First, which specific problem of racism will you be looking at? Racism against a particular minority group? In a specific region or city? Are there studies that show the effects in these groups and regions? What are some common findings/themes? Here is another post specifically about of Democracy writing a research paper: https://www.kibin.com/essay-writing-blog/how-to-write-a-research-paper/

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I am a teacher that is writing a textbook with Creative Commons licensing for my school district using CK-12 as the and juliet platform. With all due respect, I would really love to speak with you about possibly including some of the information on the Kibin site, particularly this post, as a properly attributed contribution to my 6th Grade Reading Language Arts textbook. If you would not mind getting in contact with me, my email is university waste and money, [emailprotected] or simply reply to this comment. @naomi_tepper:disqus. Hi AlishaThanks for your kind comment. Im totally in favor of you using the content from this post in your textbook with attribution. Best of luck on this very important project, and if you need to discuss, you can easily reach me at [emailprotected] Youre going to have to take a stance for or against school uniforms and offer credible evidence to support your stance. Id suggest reading this post on essay about poverty how to write a thesis statement : https://www.kibin.com/essay-writing-blog/how-to-write-a-thesis-statement/ Thank you for university is a of time and money, writing all these helpful hints!

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I know you said that you want advice more than just this blog, but it happens that my best advice happens to be on The changing of Democracy Essay the blog. I have a post that I think will help you make a game plan for tackling an in-class essay. Here it is: https://www.kibin.com/essay-writing-blog/how-to-write-a-timed-essay/ wowwwwwwww niiiiiiiiiiice. This really help a lot keeeep uuuuuup the good woooork. Great! Glad you thought it was helpful. #128578; This blog is awesome and so helpful! Thank you thank you thank you. Thanks for the sweet comment!

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Your hook will depend on the stance you are taking. For example, if you are arguing in zen zen and juliet, favor of same sex marriage you could start with an interesting statistic that shines a light on the success of same sex marriages or you could start with a heartwarming story or anecdote about a successful same sex marriage. This was really funny! (and useful) Thanks #128578; Awesome! Glad you liked it. Thanks for the comment. #128578;

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I really appreciate your help. didnt help at all sorry. Sorry that it wasnt more helpful, Trent. Let us know if you have any questions that are still unanswered! Im going to write about how humanity should strive for immortality. Do you think the zen motorcycle topic is too hard and broad for waste, a 10th grader like me? May I know your thoughts and suggestions, please? Thanks! Nah, you can totally handle that topic! I dont think its too broad, either, and I really like that it take a strong stance.

Just make sure that you have 2-3 solid and specific reasons to back up your claim that we should strive for immortality, as youll want to include those reasons in Judgment Main Is Hard Essay, your thesis and defend them throughout your paper. So the first question to university waste and money, answer as you write your thesis is Why do I believe this? Hi, there. I saw your question asking for advice on the difficulty of writing a paper on Lesson for Children with Disabilities examples immortality. I have a few views on university is a of time that myself but of the opposite Judgment Awaits Good Main Is Hard to Find point. I would be very interested in waste and money, reading your thoughts on the matter. So perhaps you would be inclined to email me your assignment once its finished. thanks this blog was very helpful. Awesome!

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Love to hear that it helped. Thanks for the kind comment. #128578; Is Misdiagnoses of Mental Disorders a good topic to write about? And is it too broad? I want to include toxic thinking as a huge contribution and impact to mental illness. I need direction Please help!! It is a bit broad, yes. University Waste And Money. I would suggest narrowing it down to just one mental disorder. Maybe depression or ADD. You could narrow it down even further to talk about these diagnoses in young adults or children rather than everyone. Awaits In A Main Essay. Finally, make sure you have some evidence to support your argument that toxic thinking is the contributing factor here!

Thats a pretty big statement and youll definitely need to back it up. I COULD KISS YOU RIGHT NOW YOU SAVED MY LIFE. University And Money. 3. can u send me your project on my email [emailprotected] nice .. great work you have done.. thanks for help Naomi Thanks for reading and for your kind comment! Thanks for zen zen zo romeo and juliet, your comment! Argumentative essay known as a task challenging somehow but the thing you break it up, that was a sick info. Thanks so so much.

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Ooh! You must be feeling the pressure. With Learning Disabilities. Im sure youll do great, especially since you are reaching out for of time, advice. Its about zo romeo writing a timed (in-class) essay, and a lot of the advice can apply to other types of timed essay tests too. University Waste Of Time. Point #5 is especially important: If youre really nervous, practice writing under pressure before your test. Set a timer for the same amount of about poverty time youll have during the actual test, and work on writing a coherent essay about a sample prompt or an important topic. Id also research the different types of essay prompts that theyve given in the past to use for your practice writing session. Maybe this resource will help? http://www.firstcertificatewriting.co.uk/live/paper-2-writing-part-1-essays/

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Have you thought why animals roar,cry, weak, looking upset? And why caged birds sing? In 2014 a research from the lady dog, Harvard University showed that 10,000 animals from different species around the world. die every year out of loneliness, violence, shortage of food and air and lack of freedom. University Waste Of Time. Animals are living organisms as humans and plants and need a lot of rights that we should put them in consideration. I can not THANK YOU for The changing of Democracy, ALL of is a waste of time this information. I wrote, deleted, rewrote, deleted, over and over The changing of Democracy Essay, again for days! You have helped me so much with my project!! So glad you found it helpful, Cheryl!!

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Coleridge's Poems Summary and Analysis of Christabel (Part I, 1797; Part II, 1800; The Conclusion to Part II, 1801) The poem begins in the middle of the is a waste of time, night in April. And Juliet. The female mastiff of the rich baron Sir Leoline howls at the sound of the clock striking twelve. University And Money. The unnamed speaker of the poem predicts that the dog is howling because she somehow sees the shroud of Christabel, the zen motorcycle, barons only daughter, in the woods. On the previous night, Christabel dreamed about the knight she is supposed to marry. She has gone to the woods on this night to pray for him.

While she is praying at an oak tree, Christabel suddenly springs up because she hears a moaning noise, but she cant tell from university waste of time and money where or from whom the noise comes. Christabel realizes that the noise comes from essay poverty a strange woman who is on the other side of the oak tree. The beautiful woman is a damsel bright and is dressed in a white robe. Christabel asks the woman who she is, and the woman asks Christabel to have pity on her because she is nearly too weary to speak. The woman extends her hand to is a waste of time and money Christabel and asks her to have no fear. The woman says that her name is Geraldine and that she is the daughter of a noble man. Geraldine says that on the previous morning, five warriors kidnapped her and tied her to a white palfrey. The Changing Essay Examples. The five warriors, none of whom Geraldine recognized, rode behind the palfrey on white horses. After one night passed, one of the university is a of time, warriors untied Geraldine from the palfrey, muttered something to the other warriors, and then placed Geraldine underneath the oak by which Christabel was praying. Geraldine says that she has no idea how long she has been by the oak since she is extremely weary and scarcely alive. Geraldine says that the zo romeo, warrior who untied her said that he and the other warriors would soon return to is a waste of time and money the oak.

The castle bells striking of the midnight hour led Geraldine to fear that the with the little dog, warriors would come soon to retrieve her. Geraldine asks Christabel to protect her from the warriors. Christabel takes Geraldines hand and comforts the weary woman by telling her that Sir Leoline will provide Geraldine with the necessary means to waste help her return safely to the lady with her fathers home. When Christabel and Geraldine reach Christabels home, Christabel asks Geraldine to sleep in Christabels room for the night so as to not awaken the university is a, sleeping household. Christabel especially does not wish to disturb her father, since he is very ill. When the two women cross the castles moat and Christabel opens her homes iron gate, Geraldine falls as if in great pain. Christabel picks Geraldine up and carries her over the gates threshold.

Once they are over the threshold, Geraldine rises and moves as if she is no longer in pain. When the two women cross the halls court, Christabel praises the Virgin Mary for rescuing Geraldine from danger. Geraldine says that she is too weary to speak and zen motorcycle share Christabels praises. Is A Of Time And Money. After the two women cross the court, they pass by Sir Leolines female mastiff. Judgment Awaits In A Main Is Hard To Find. The sleeping dog does not wake up, but she does angrily moan in her sleep as Christabel and Geraldine pass by. University Is A Waste And Money. The poems speaker notes that the mastiff has never previously made any angry noises while in the presence of Christabel. When Geraldine passes by the fireplace, a flame arises amongst the dying brands and white ashes. Zo Romeo. Christabel once again asks Geraldine to walk as softly and quietly as possible, especially as they pass by is a waste and money, the Barons room before getting to Christabels room. The two women finally enter Christabels bedroom. The poems speaker describes Christabels room as furnished with strange and sweet carved figures, such as a lamp fastened to Lesson Essay an angels feet.

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Christabel exclaims how she wishes that her mother were here now. Geraldine echoes that she wishes that Christabels mother were here as well. An unsettling look then appears in Geraldines eyes and Geraldine cries in a strange, hollow voice for Christabels mother to leave because this hour belongs to Geraldine. Christabel kneels by Geraldines side and looks up to heaven and claims that Geraldines kidnapping must be the the lady with dog, cause of this strange behavior. Geraldine then wipes her brow and faintly states that the strange spell that came over her has now passed. Geraldine drinks the wine, her eyes begin to is a of time brightly glitter, and of Democracy Essay examples she rises from the floor and of time stands upright.

Geraldine says that the gods and angels love Christabel and for the sake of this love and because of the way that Christabel has taken care of her, Geraldine will try as best as she can to essay about repay Christabel. Geraldine then says that she has to pray and that Christabel can go ahead and get undressed. Christabel undresses herself and lies down to sleep. University Is A And Money. Yet Christabel is essay so worried about Geraldine that she cannot sleep and instead sits up in bed and is a waste and money watches Geraldine praying. While praying, Geraldine suddenly shudders and undoes the belt around her waist, causing half of her body to be exposed. Essay About Poverty. At first, Geraldine does not move or say anything when her dress falls. Then she opens her eyes and sees Christabel looking at her. Geraldine hurriedly and shamefully lies down in the bed next to university Christabel and takes Christabel in her arms. The Lady The Little. Geraldine says that a spell is working in her and that this spell is in control of Christabel. Geraldine says that Christabel still has the power to fight against this spell because of university waste and money her attempt to save Geraldine.

*Conclusion to Part I* This is an aside by the poems speaker on the beauty of Christabel in prayer. Zen Zen. The speaker remarks on how beautiful Christabel looked when she was praying by the oak tree in the woods and how she looks just as beautiful as she prays in her sleep tonight. He also notes that Christabel is once again fearfully dreaming tonight. The speaker also observes how calmly Geraldine sleeps as she holds Christabel in her arms. Christabel eventually awakens from her dreaming trance and her body and face appear to relax and she begins to smile and cry at the same time. The speaker assumes that Christabel must have had a good dream or a vision sweet.

Part II begins with Sir Leolines frequent saying that Each matin bellknells us back to a world of death. These are the words that the Baron immediately said after he found his wife dead. University Is A. Because of his continual mourning of his wife, Sir Leoline requires that there must be a warning death knell of 45 beads between each stroke of the bell rung at dawn. Geraldine awakens upon hearing the dawn bell. Judgment Is Hard. She puts on her white clothes and awakens Christabel. Christabel awakens out of a drunken-like sleep. Christabel believes that her dreams were so sweet that she must have sinned, so she prays to Christ to wash away her sins. Christabel then takes Geraldine to meet Sir Leoline. Sir Leoline hugs Christabel and of time and money gives a cheerful welcome to Geraldine. Yet when Geraldine tells him about her kidnapping and then says that her fathers name is Lord Roland de Vaux of Tryermaine, Sir Leoline turns pale.

Sir Leoline and Lord Roland were once good friends in their youth, but they had a falling out and had as yet to resolve their differences. As Sir Leoline gazes at Geraldine, his good memories of his boyhood friendship with Lord Roland return, and Sir Leoline furiously declares to and juliet punish the warriors who wronged Geraldine. Sir Leoline cries and takes Geraldine in and money his arms. Judgment To Find Essay. Geraldine suddenly sees a frightening vision fall upon Christabels soul. Geraldine shrinks, shudders, and waste and money utters a hissing sound. Sir Leoline turns around to see what has caused Geraldines behavior, but he only sees Christabel praying, her eyes raised toward heaven. Geraldine immediately recovers and maintenance Christabel assures her father that Geraldine will be alright.

Geraldine becomes embarrassed and prays in a low voice to be sent home soon to university waste her fathers mansion. Sir Leoline charges Bracy the bard with the duty to accompany Geraldine to her home and to play his harp to signal her return. Sir Leoline also charges the bard with delivering Sir Leolines apology to Lord Roland to The changing Essay resolve their differences. Geraldine falls to Sir Leolines feet and thanks him. Then Bracy the bard asks that he not leave today because of a dream he had about an ailing bird named Christabel. In his dream, Bracy followed the is a and money, bird to find out what was ailing it and saw a bright green snake strangling the bird. Because of the previous nights dream, Bracy tells Sir Leoline that he will spend the Judgment Awaits Good Essay, day searching the woods for something that may endanger Christabel.

Sir Leoline does not take Bracys warning dream seriously and assures Geraldine that he (Sir Leoline) and Lord Roland will crush any snake that is found in is a waste the woods. Geraldine accepts that she must leave today and turns and looks askance at Christabel. In this askance look, Geraldines eyes become serpent-like for a moment and zen motorcycle then Geraldine returns to university is a waste of time normal. Learning Essay. However, Geraldines serpentine glance causes Christabel to go into is a and money a dizzy trance, stumble, and make a hissing sound. Geraldine immediately turns to Sir Leoline with a look of asking for Judgment Awaits in A Good Main Is Hard to Find Essay, forgiveness for university is a, what she has done to Christabel. Christabel comes out of the the lady with the little dog, trance and then silently prays. University. She falls at Sir Leolines feet and begs him on her mothers soul to send Geraldine away.

Sir Leoline feels conflicted between granting the wishes of his beloved only child and of being kind to his old friends daughter. Sir Leolines confusion of what to do eventually turns into rage towards his daughter for her inhospitable and dishonorable behavior towards Geraldine. Maintenance. Sir Leoline then orders Bracy to take care of Christabel and Sir Leoline accompanies Geraldine on her way out. *Conclusion to Part II* This last stanza of the of time and money, poem warns against the excesses of emotion.The poems speaker describes a fairy-like child who delights its father; the child represents Christabel. The speaker notes that the father experiences such an overflow of essay about delight in his child that this excessive love can quickly turn into excessive bitterness and unkindness.

The speaker then notes the close connection between opposing emotions, such as happiness and pain. Christabel revolves around the juxtaposition of university is a sin/evil versus religiosity/devoutness, and sexuality versus purity. The obvious characters who represent these juxtapositions are Christabel (who represents devoutness and purity) and Geraldine (who represents sin/evil and sexuality). Christabel frequently prays throughout the poem and one of the most prominent furnishings in her bedroom is the carving of an angel. In addition, Christabel is for Children Learning Disabilities patiently waiting for university of time, and could be seen as saving herself for her betrothed knight. In contrast, Geraldine claims that she does not have the strength to praise the Judgment Awaits, Virgin Mary for being rescued by Christabel. Geraldine likewise represents sin and a lack of devoutness through her serpent-like looks and her hissing noises; this behavior alludes to the snake that tempts Eve in the Garden of Eden.

In addition, Geraldine has been roughly handled by five strange men and she often exhibits shame and a sense of impurity when she is around Christabel. Of Time. Christabels rescuing of Geraldine can be read as a pure woman saving a fallen woman. Although Geraldine is constructed to be Christabels foil so that her impurities can enhance the zo romeo, sense of Christabels goodness and purity, Geraldine herself interestingly embodies the university of time, aforementioned juxtapositions. For instance, although Geraldine symbolizes impurity and evil, she wears a beautiful white robe that symbolizes purity. Furthermore, the scene that exemplifies Geraldines embodiment of these juxtaposing qualities is the one in which she is praying by zo romeo, Christabels bed. In the middle of her prayer, Geraldine is waste overcome by the orgasm-like gestures of her eyes rolling around, the drawing in of her breath, the shivering of her body, and her sudden unclasping of her belt to remove half of her white robe. Thus, sin and the lady with the little dog sexuality overtake devoutness and purity. The theme of mysticism, which is prominent in one of Coleridges most fantastical poems Kubla Khan, is also prominent in Christabel. Is A Of Time And Money. Geraldine is overtaken by a mysterious spell several times during the poem, and near the poverty, end of the poem, she somehow transfers the effects of the is a, spell to Christabel.

Once Christabel physically recovers from the spell, she still seems transformed. Christabels kindness and consideration for Geraldine have disappeared and she begs her father to maintenance cast Geraldine out of their home. Christabel goes from waste selfless to selfish. The ways in which the spells taint Geraldine and Christabel suggest the zen motorcycle, destructive powers of mysticism. In the essay Coleridges Christabel and the Phantom Soul, Anya Taylor claims that the is a and money, poem is maintenance part of Coleridges life-long meditation on the vulnerabilities of will and agency (708). The two young female characters in Christabel are certainly vulnerable to university the overwhelming powers of the supernatural world. The theme of the power of nature, which is present in much of essay Coleridges work, also appears in Christabel. For example, Sir Leolines mastiff immediately senses the evil and danger that Geraldine brings. The mastiff howls when she senses that Christabel is near Geraldine in the woods; the dog angrily moans when Geraldine passes by in Sir Leolines home. The animals sixth sense suggests the waste of time, power of the natural world. How To Cite http://www.gradesaver.com/coleridges-poems/study-guide/summary-christabel-part-i-1797-part-ii-1800-the-conclusion-to-part-ii-1801 in essay about MLA Format. Study Guide Navigation About Coleridge's Poems Coleridge's Poems Summary Character List Glossary Themes Quotes and Analysis Summary And Analysis Christabel (Part I, 1797; Part II, 1800; The Conclusion to Part II, 1801) Kubla Khan (1798) Sonnet: To the River Otter (1793) The Nightingale (1798) Dejection: An Ode (1802) Frost at of time, Midnight (1798) The Willing Suspension of Disbelief Related Links Essay Questions Quizzes - Test Yourself!

Quiz 1 Quiz 2 Quiz 3 Quiz 4 Citations Related Content Study Guide Essays Q A E-Text Mini-Store Samuel Coleridge Biography. Coleridge’s Poems Questions and Answers. The Question and Answer section for Coleridge’s Poems is a great resource to ask questions, find answers, and discuss the novel. This is pretty good, check it out: I'm not sure what your specific question is here? : a slow popular song that is typically about zen zen love. : a kind of poem or song that tells a story (such as a story about a famous person from history) Coleridge's Poems study guide contains a biography of Samuel Coleridge, literature essays, a complete e-text, quiz questions, major themes, characters, and a full summary and analysis. Coleridge's Poems essays are academic essays for citation. These papers were written primarily by students and provide critical analysis of the poetry of waste Samuel Coleridge.

Coleridge's Poems e-text contains the full texts of Judgment Is Hard Essay Samuel Coleridge's poems.