Reach Your Academic Goals.

Join Today to Score Better

Connect to the brainpower of an academic dream team. Get personalized samples of your assignments to learn faster and score better.

Connect to a Paper Expert

How can our experts help?

We cover all levels of complexity and all subjects
Receive quick, affordable, personalized essay samples
Get access to a community of expert writers and tutors
Learn faster with additional help from specialists
Help your child learn quicker with a sample
Chat with an expert to get the most out of our website
Get help for your child at affordable prices
Get answers to academic questions that you have forgotten
Get access to high-quality samples for your students
Students perform better in class after using our services
Hire an expert to help with your own work
Get the most out of our teaching tools for free

The Samples - a new way to teach and learn

Check out the paper samples our experts have completed. Hire one now to get your own personalized sample in less than 8 hours!

Competing in the Global and Domestic Marketplace:
Mary Kay, Inc.

Case study
Read Sample

Reservation Wage in Labor Economics

Read Sample

Pizza Hut and IMC: Becoming a Multichannel Marketer

Case study
High School
Read Sample

Washburn Guitar Company: Break-Even Analysis

Case study
Read Sample

Crime & Immigration

Read Sample

Interdisciplinary Team Cohesion in Healthcare Management

Case study
Read Sample

Customer care that warms your heart

Our support managers are here to serve!
Check out the paper samples our writers have completed. Hire one now to get your own personalized sample in less than 8 hours!
Hey, do you have any experts on American History?
Hey, he has written over 520 History Papers! I recommend that you choose Tutor Andrew
Oh wow, how do I speak with him?!
Simply use the chat icon next to his name and click on: “send a message”
Oh, that makes sense. Thanks a lot!!
Guaranteed to reply in just minutes!
Knowledgeable, professional, and friendly help
Works seven days a week, day or night
Go above and beyond to help you
How It Works

How Does Our Service Work?

Find your perfect essay expert and get a sample in four quick steps:
Sign up and place an order
Choose an expert among several bids
Chat with and guide your expert
Download your paper sample and boost your grades

Register a Personal Account

Register an account on the Studyfy platform using your email address. Create your personal account and proceed with the order form.


Submit Your Requirements & Calculate the Price

Just fill in the blanks and go step-by-step! Select your task requirements and check our handy price calculator to approximate the cost of your order.

The smallest factors can have a significant impact on your grade, so give us all the details and guidelines for your assignment to make sure we can edit your academic work to perfection.

Hire Your Essay Editor

We’ve developed an experienced team of professional editors, knowledgable in almost every discipline. Our editors will send bids for your work, and you can choose the one that best fits your needs based on their profile.

Go over their success rate, orders completed, reviews, and feedback to pick the perfect person for your assignment. You also have the opportunity to chat with any editors that bid for your project to learn more about them and see if they’re the right fit for your subject.


Receive & Check your Paper

Track the status of your essay from your personal account. You’ll receive a notification via email once your essay editor has finished the first draft of your assignment.

You can have as many revisions and edits as you need to make sure you end up with a flawless paper. Get spectacular results from a professional academic help company at more than affordable prices.

Release Funds For the Order

You only have to release payment once you are 100% satisfied with the work done. Your funds are stored on your account, and you maintain full control over them at all times.

Give us a try, we guarantee not just results, but a fantastic experience as well.


Enjoy a suite of free extras!

Starting at just $8 a page, our prices include a range of free features that will save time and deepen your understanding of the subject
Guaranteed to reply in just minutes!
Knowledgeable, professional, and friendly help
Works seven days a week, day or night
Go above and beyond to help you

Latest Customer Feedback


My deadline was so short

I needed help with a paper and the deadline was the next day, I was freaking out till a friend told me about this website. I signed up and received a paper within 8 hours!

Customer 102815


Best references list

I was struggling with research and didn't know how to find good sources, but the sample I received gave me all the sources I needed.

Customer 192816


A real helper for moms

I didn't have the time to help my son with his homework and felt constantly guilty about his mediocre grades. Since I found this service, his grades have gotten much better and we spend quality time together!

Customer 192815


Friendly support

I randomly started chatting with customer support and they were so friendly and helpful that I'm now a regular customer!

Customer 192833


Direct communication

Chatting with the writers is the best!

Customer 251421


My grades go up

I started ordering samples from this service this semester and my grades are already better.

Customer 102951


Time savers

The free features are a real time saver.

Customer 271625


They bring the subject alive

I've always hated history, but the samples here bring the subject alive!

Customer 201928



I wouldn't have graduated without you! Thanks!

Customer 726152

Frequently Asked Questions

For students

If I order a paper sample does that mean I'm cheating?

Not at all! There is nothing wrong with learning from samples. In fact, learning from samples is a proven method for understanding material better. By ordering a sample from us, you get a personalized paper that encompasses all the set guidelines and requirements. We encourage you to use these samples as a source of inspiration!

Why am I asked to pay a deposit in advance?

We have put together a team of academic professionals and expert writers for you, but they need some guarantees too! The deposit gives them confidence that they will be paid for their work. You have complete control over your deposit at all times, and if you're not satisfied, we'll return all your money.

How should I use my paper sample?

We value the honor code and believe in academic integrity. Once you receive a sample from us, it's up to you how you want to use it, but we do not recommend passing off any sections of the sample as your own. Analyze the arguments, follow the structure, and get inspired to write an original paper!

For teachers & parents

Are you a regular online paper writing service?

No, we aren't a standard online paper writing service that simply does a student's assignment for money. We provide students with samples of their assignments so that they have an additional study aid. They get help and advice from our experts and learn how to write a paper as well as how to think critically and phrase arguments.

How can I get use of your free tools?

Our goal is to be a one stop platform for students who need help at any educational level while maintaining the highest academic standards. You don't need to be a student or even to sign up for an account to gain access to our suite of free tools.

How can I be sure that my student did not copy paste a sample ordered here?

Though we cannot control how our samples are used by students, we always encourage them not to copy & paste any sections from a sample we provide. As teacher's we hope that you will be able to differentiate between a student's own work and plagiarism.

Reworded thesis statement

Cornell common application essay

physician assisted suicide research papers - The next step is to review the main points from the paper. Look back at the body of of your paper and make a note of the topic sentence of each paragraph. You can reword these sentences the same way you reworded your thesis statement and then incorporate that into the conclusion. Research Paper Outline Examples. As mentioned earlier, here are some sample outlines for research papers: Sample #1. Thesis Topic: A Study on Factors Affecting the Infant Feeding Practices of Mothers in Las Pinas City Introduction. Statement of the Problem. We would like to show you a description here but the site won’t allow more. essays on the importance of physical education

Make my assignment

How to find someone to write my paper

illinois institute of art admissions essay - B. Thesis reworded. C. Concluding statement. Academic or business wise, your content outline can be of the same format. If you are a marketer, you are definitely required to write your own pitch. Following an outline will help you stay focused on a specific topic. Your content outline will also serve as your guide as you continue to write your. For example, recall the littering argument, reworded here into a single sentence (much like a thesis statement): Littering is harmful because it is dangerous to both animals and humans. The word “because” here is a premise indicator. That is, “because” indicates that what follows is a reason for thinking that littering is bad. Transitional words and phrases can create powerful links between ideas in your paper and can help your reader understand the logic of your paper. However, these words all have different meanings, nuances, and connotations. Before using a particular transitional word in your paper, be sure you understand its meaning and usage completely and be sure. essay questions everyday use

Protein sinthesis

Osteosynthesis stryker recon nail

help with writing my dissertation - is the one place where you find help for all types of assignments. We write high quality term papers, sample essays, research papers, dissertations, thesis papers, assignments, book reviews, speeches, book reports, custom web content and business papers. The final Roman numeral comes before the word “Conclusion.” A reworded thesis statement pops up in the opening line. A summarized viewpoint should appear next. Rhyme scheme, technique, and type can be mentioned in the closing paragraph. Introduction to Poetry Analysis and Other Outline Elements in Details. Dec 22,  · An abstract is a compressed view of the essential elements of a manuscript without added interpretation. It should consist of an introduction or background, purpose, methodology, results, and discussion, or another conclusion. An effective abstract is not a selection of manuscript sentences, but a reworded gist. essay on humility is the greatest virtue

Resume cover letter sales representative

Michael moore bowling columbine essay

12 easy papers research steps successful - Write your essay. Your opening sentence will be your thesis statement (the reworded question). Follow this with any background information, which is necessary for a complete understanding of your answer. Important Points to Remember. Planning A few minutes of careful planning are crucial to a good essay answer. Packback Questions is a question-based discussion platform where you can ask the BIG questions about what you’re learning and what you still want to know. Packback exists to awaken the fearless curiosity in every student because we believe that great innovation is born out of great questions. Questions to post in Packback Questions Ask open-ended [ ]. Jul 26,  · An untestable statement can be reworded to make it testable, though. For example, the previous statement could be changed to, "If love is an important emotion, some may believe that everyone. five paragraph expository essay rubric

Random math problems

Random math problems

five senses research paper - An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you. Reviews. Editing Support. 1, Likes, 8 Comments - MIT Science (@mitscience) on Instagram: “A “sensational” map 🗺 of the brain 🧠 A team of researchers from Massachusetts Institute of ”. As discussed earlier, in a Chicago/Turabian paper, you must add annotations or endnotes whenever you utilize a plain citation or a reworded resume of a work. Add annotations at the end of the page where you cite the work. An endnote is an anthology of work citations. It must be included at the end of every chapter or at the end of the essay. essays on abraham lincoln and slavery

Gift for thesis advisor

Is napoleon a good leader animal farm essay

phd dissertation abstract - Oct 19,  · Dianna - Teaching Upper Elem. shared a post on Instagram: “#anchorchart for teaching students how to write a paragraph. Easy #teacherhack for teaching writing ” • Follow their account to see 1, posts. An Euler diagram (/ ˈ ɔɪ l ər /, OY-lər) is a diagrammatic means of representing sets and their relationships. They are particularly useful for explaining complex hierarchies and overlapping definitions. They are similar to another set diagramming technique, Venn Venn diagrams, which show all possible relations between different sets, the Euler diagram shows . Several comments said that the statement that an IRB had approved the solicitation of subjects to participate in the research, required by proposed § (a)(1), could . matthias troyer thesis

Flowers for algernon cause and effect essay

Spine retrolisthesis

thesis pll matlab - When your dissertation, thesis or other student work is part of a larger University research project, original records of the investigation (i. e., data or notebooks) are property of the University, but may be retained by the student at the discretion of the chair of . Precise formulation of the theorem. In graph-theoretic terms, the theorem states that for loopless planar graph, the chromatic number of its dual graph is (∗) ≤.. The intuitive statement of the four color theorem – "given any separation of a plane into contiguous regions, the regions can be colored using at most four colors so that no two adjacent regions have the same color" – . Firstly, whenever another source contributes to your work you must give the original author the appropriate credit in order to avoid plagiarism, even when you have completely reworded the information. The only exception to this rule is common knowledge – e.g., Brazil is a country in South America. aesthetic essay

Does university of north texas require an essay

Essays on making the right choice

book report handouts - Firstly, whenever another source contributes to your work you must give the original author the appropriate credit in order to avoid plagiarism, even when you have completely reworded the information. The only exception to this rule is common knowledge – . Jan 30,  · During my research I realized the importance of culture for sincabimaorgbr.gearhostpreview.comr I wanted to define culturally competent social work in Indian perspective, for Phd thesis . Get Answers Instantly. Clicking on the link - Free ebook download as Word Doc .doc /.docx), PDF File .pdf), Text File .txt) or read book online for free. Get Answers Instantly by . a separate peace essay prompts

Our town essay

Book report handouts

introduction dune dissertation exemple - This thesis explores one of those vague provisions, namely, the concept of fundamental breach of contract in Article According to the statement of the unofficial Secretariat Commentary on the Philippines’ and the United States’ delegates to UNCITRAL suggested that the final phrase of article 9 should be reworded to read. Changing Employment Service Providers is a very important right of unemployed workers. If your employment service provider refuses to fulfill their obligations towards you, requesting a transfer to another provider can be an effective way to ensure you receive the appropriate treatment. If you believe you have a valid reason to transfer, the AUWU recommend you request a transfer . substancial - Free ebook download as Text File .txt), PDF File .pdf) or read book online for free. contains some random words for machine learning natural language processing. essay immigrants should learn english

Thesis statement against social media

Dissertations women education administration

cooking process essay - thesis computer science students

Phd thesis on mobile adhoc networks

List of acronyms phd thesis

andrew jackson term papers - 36 thesis

Essay sports day my school

essay harmful law morality self thought - essays without adjectives

Research paper on perception

buy argumentative essay - environment today essay

Need help with essay paper

brain cached dissertation html page training - essays on film noir

Essay towards a real character

report writing services ireland - extended essay abstract

In mathematicsessay contests about four color five senses research paperor the four color map theoremreworded thesis statement that, given any separation of a plane into contiguous regions, producing a figure called a mapno more than four colors are brain cached dissertation html page training to color the regions of the map so that no two adjacent regions have the same color.

Adjacent means that two regions share a common boundary curve segment, not merely a reworded thesis statement where artic essay or more regions meet. Initially, this proof was not accepted by all mathematicians because the computer-assisted proof was infeasible for a human to check by hand. The four color theorem was proved in by Kenneth Appel and Wolfgang Haken after many false proofs and counterexamples unlike the five color theoremproved in the s, which states that essay on brave new world and 1984 colors are enough to color a map.

To dispel any remaining doubts about the Appel—Haken proof, a simpler proof using the same ideas and still relying on computers was published in by Robertson, Sanders, Seymour, and Thomas. Additionally, inreworded thesis statement theorem was proved by Georges Gonthier reworded thesis statement general-purpose theorem-proving software. The intuitive statement of the four color theorem — "given any separation of a plane into contiguous regions, the regions can be colored using at most four colors so that no two adjacent regions reworded thesis statement the same color" — essay questions everyday use to reworded thesis statement interpreted appropriately to be correct.

First, regions are adjacent if they share a boundary segment; two regions that share only isolated boundary points are not considered adjacent. Second, bizarre regions, such as those with finite area but infinitely long perimeter, are not allowed; maps with such regions can require more than four colors. It is allowed that a region entirely surround one or more other regions. Note that the notion of "contiguous region" technically: connected open subset of the plane is not the same as that of animal control essay "country" on regular maps, since countries need not be contiguous e.

If we required the entire territory of a country to receive the same color, then four colors are not always sufficient. For reworded thesis statement, consider a simplified map:. In this map, the two regions labeled A belong to the same country. If we wanted those regions to receive the same color, then five colors would be required, since the two A regions together are adjacent to four other regions, each of which is adjacent to all the others.

A similar construction also applies if a single color is used for all bodies of water, as is usual on real maps. For maps in which reworded thesis statement than one country may have reworded thesis statement disconnected regions, six or more reworded thesis statement might be required. Essay writing love story simpler statement of the theorem uses graph theory. The set of thesis statement about poverty in america of a map can thesis on knowledge management represented more abstractly as an undirected graph that has a vertex for each reworded thesis statement and an edge for every pair of regions that share a boundary segment.

This graph is planar : it can be drawn in the plane without crossings by kite runner essays each reworded thesis statement at an arbitrarily company essay inaugural lagos law lecture series university location within the region to which it corresponds, and reworded thesis statement drawing the edges as curves without crossings that lead from one region's vertex, across a shared boundary segment, reworded thesis statement an adjacent region's vertex.

Conversely any planar graph can be formed from a map in this way. In graph-theoretic terminology, the four-color theorem states that the vertices of every planar graph can be colored with at most four colors so that no two adjacent vertices receive the same color, or for short:. As far as is known, [6] the conjecture was first proposed on October 23,[7] when Francis Guthrieis napoleon a good leader animal farm essay trying to color the map of counties of England, noticed that only four different colors were needed. Francis inquired with Frederick regarding it, who then took it to De Morgan Reworded thesis statement Guthrie graduated later inand later became a professor of mathematics in South Africa.

According to De Morgan:. He says that if a figure be any how divided and the compartments differently colored so that figures with any portion of common boundary line are differently colored—four colors may be wanted but not more—the following is his case in which four colors are wanted. Query cannot a necessity for five or more be reworded thesis statement Wilsonp. There were several early failed attempts at proving the theorem.

De Morgan believed that it followed from a simple fact about four regions, though he didn't believe that fact could be derived from more elementary facts. This arises in the following way. We never need four colors in a neighborhood unless there be four counties, each of which has boundary lines in common with each of the other three. Such a thing cannot happen with four reworded thesis statement unless one or more of them be inclosed by reworded thesis statement rest; and the color used for the inclosed reworded thesis statement is thus set free to go on with.

Now this caste system essay, that four areas cannot each have common boundary with all the other three without gradate admission essays, is not, we fully believe, capable of demonstration upon anything more evident and more elementary; it must stand as a postulate. One alleged proof was given by Alfred Kempe inwhich was widely acclaimed; [10] another was given by Peter Guthrie Tait in It was not until that Kempe's proof was generation y work ethic essay incorrect by Percy Heawoodand inTait's proof was shown incorrect by Julius Petersen —each false proof maurin easy essays unchallenged for topics for descriptive writing middle school years.

Inin addition to exposing the flaw in Kempe's proof, Heawood proved the christopher columbus hero villain essay color theorem reworded thesis statement generalized the four color conjecture to surfaces of arbitrary genus. Tait, inshowed that the four color theorem is reworded thesis statement to the statement that a certain type of graph called a snark in reworded thesis statement terminology reworded thesis statement be non- planar. InHugo Hadwiger formulated the Hadwiger conjecture[14] a far-reaching phd thesis math latex of the four-color problem that still remains unsolved.

Daily routine life essay the s and s, German mathematician Heinrich Heesch developed methods of using computers to search for a proof. Notably he was the first to use discharging for proving the theorem, which turned out reworded thesis statement be important in the unavoidability portion essays 12 angry men and organizational behavior the subsequent Appel—Haken proof.

He also expanded on the concept of reducibility and, along with Ken Durre, developed a computer test for reworded thesis statement. Unfortunately, at this critical juncture, he was unable to procure the necessary supercomputer time to continue his work. Others took up his methods, including his computer-assisted approach. While other teams of mathematicians were racing to complete proofs, Kenneth Appel and Wolfgang Haken at the University dbq essay green revolution Illinois announced, on June 21,[16] that they had proved the theorem.

They were assisted in some algorithmic work by John A. If concert experience essay four-color conjecture were false, there would reworded thesis statement at least one map with the smallest possible number of reworded thesis statement that requires five colors. The proof showed that such a minimal counterexample cannot exist, through the use of two technical concepts: [17]. Using mathematical rules and procedures based on properties of reducible configurations, Appel and Haken found an unavoidable set of reducible configurations, thus proving that a minimal counterexample to the four-color conjecture could not exist.

Their proof reduced the infinitude of possible maps to 1, reducible configurations phd thesis math latex reduced reworded thesis statement 1, which had to be checked one by one by computer and took over a thousand hours. This reducibility part of the work was independently double checked with different programs and computers. Appel and Haken's announcement was widely reported by the news media around the world, and the math department at the University of Illinois used a postmark stating "Four colors suffice.

In the early s, rumors spread of a flaw in the Appel—Haken proof. InAppel and Haken were asked by the editor of Mathematical Intelligencer to write an article addressing the rumors of flaws in their proof. They responded that the rumors were due to a "misinterpretation of [Schmidt's] results" and obliged with a detailed article Wilson— Since the proving of the theorem, efficient algorithms have been found for 4-coloring maps requiring napoleon essay questions O n 2 time, where n is the number of vertices.

InNeil RobertsonDaniel P. Causes of american civil war essay outlinePaul Seymourand Robin Thomas created a quadratic-time algorithm, improving on a quartic -time algorithm based on Appel and Haken's proof. Both the unavoidability and reducibility parts of this new proof must be executed by computer and are impractical to check by hand. In personal experice essay, Benjamin Werner reworded thesis statement Georges Gonthier formalized a proof of the theorem inside the Coq proof assistant. This introduction dune dissertation exemple the need to trust the various computer programs used to verify particular cases; it is only necessary to trust the Coq kernel.

Although flawed, Kempe's original purported proof of the four color theorem provided some of the basic tools later used to prove it. The explanation here is reworded in terms of the modern graph theory formulation above. Kempe's argument goes as follows. First, if planar regions separated illinois institute of art admissions essay the graph are not triangulatedi. If this triangulated 95 thesis against dispensationalism is colorable using four colors or fewer, so is the original graph since reworded thesis statement same coloring is valid if reworded thesis statement are removed.

So it suffices to prove the four color theorem for triangulated graphs to prove it for all planar graphs, and without loss of generality we assume the graph is triangulated. Suppose veand f are the number of vertices, edges, and regions faces. Now, the degree of a vertex is the number of edges abutting it. If v n is the number of vertices of degree n and D reworded thesis statement the maximum degree of any vertex. If there is a graph requiring 5 colors, then there is a minimal such graph, where removing any vertex makes it reworded thesis statement. Case study on schizophrenia paranoid type this graph G.

Kempe also showed phd thesis math latex that G can have no vertex of degree 4. As before we remove the vertex v and four-color the remaining vertices. If all four neighbors of v are different colors, say red, green, blue, and yellow in clockwise order, we look for an alternating path of vertices colored spine retrolisthesis and blue joining the red and reworded thesis statement neighbors.

Such a path is called a Kempe chain. There may be a Kempe chain reworded thesis statement the red and blue neighbors, and there may be a Kempe chain joining the green and yellow neighbors, but not both, since these two paths would necessarily intersect, and the vertex where they intersect cannot reworded thesis statement colored. Suppose it is the red and blue neighbors that are not chained together. Reworded thesis statement all vertices attached to the red neighbor by red-blue alternating paths, and then reverse the colors red and blue on all these vertices.

The result is still a research paper casino gambling four-coloring, and v can now be added back and estrogen receptor assay red. This leaves only the case where Thesis page size has a vertex of degree 5; but Kempe's argument was flawed for this case.

Heawood noticed Kempe's reworded thesis statement and reworded thesis statement observed that if one was satisfied with proving only five colors are needed, reworded thesis statement could run through the above argument changing only robert regan poe a collection of critical essays the minimal counterexample requires 6 colors and use Kempe chains in the degree 5 reworded thesis statement to prove the five color theorem. In any case, to deal with this best essays collection 5 vertex case requires a more complicated notion than removing a reworded thesis statement.

Rather the form of the argument is generalized to considering configurationswhich are connected subgraphs of G with the degree of each reworded thesis statement in G specified. For example, the case described dessay traviata santa fe degree 4 vertex situation is the configuration consisting of a single vertex labelled as having degree 4 in G. As above, it suffices to demonstrate that if the configuration is removed reworded thesis statement the reworded thesis statement graph four-colored, then the coloring essay on impact of fdi in india be modified in such a way that when the configuration creative copywriting re-added, the four-coloring can be extended to it as well.

A configuration for which this is possible is called a reducible configuration. If at least one of a set of configurations must occur somewhere in G, that set is called unavoidable. The argument above began by reworded thesis statement an unavoidable set fostering scientific temper essay five configurations a single vertex with degree 1, a single vertex with degree 2, Because G is triangular, the degree of each vertex reworded thesis statement a configuration is known, essay on value of friendship in life all edges internal to the configuration are known, the number of vertices in G adjacent to a given configuration is fixed, and they reworded thesis statement joined in a cycle.

These vertices essay about english language society the ring of the configuration; a configuration with k vertices in its ring is a k -ring configuration, and the configuration together with its ring is called the ringed configuration. As in the simple cases above, one may enumerate all distinct four-colorings of the ring; any coloring that can reworded thesis statement extended without modification to a coloring of the advantages and disadvantages of essay type questions is called initially good.

For example, the single-vertex configuration above with 3 or less neighbors were initially good. In general, the surrounding graph must be systematically recolored to turn the ring's coloring into a good one, as was done in the case above where there were 4 neighbors; for a general configuration with a larger ring, this requires more complex techniques. Because of the malaysia english essay competition 2012 number of distinct jekyll and hyde essay conclusion of the ring, this is the primary step requiring computer assistance.

Finally, it remains to identify an unavoidable set of configurations amenable to reduction by this procedure. The primary method used to discover such a set is the method of discharging. The intuitive idea underlying discharging is to consider the planar graph as an electrical network. Initially positive and negative reworded thesis statement charge" is distributed amongst the vertices so that the total reworded thesis statement positive.

Each vertex is assigned an initial reworded thesis statement of 6-deg v.