Fermat’s Last Theorem Essay -- Pierre Fermat Math Mathematics Papers

Fermat’s Last Theorem The year is 1637. Pierre de Fermat sits in his library, huddled over a copy of Arithmetica written by the Greek mathematician Diaphantus in the third century A. D. Turning the page, Fermat comes across the Pythagorean equation: x 2 + y 2 = z 2. He leans back in his chair to think and wonders if this property is limited to the power of two only. He bends over the book again, scanning ahead through the pages to look for any clues. Suddenly, he begins writing intensely in the margin: â€Å"It is impossible for a cube to be written as a sum of two cubes, or for a fourth power to be written as the sum of two fourth powers or, in general, for any number which is a power greater than the second to be written as a sum of two like powers. I have a truly marvelous demonstration of this proposition which this margin is too narrow to contain.† These words, written so carelessly, were to survive to bewilder, frustrate and elude mathematicians of all kinds for centuries to come. This is the legend of Fermat’s Last Theorem. Pierre de Fermat was born in the town of Beaumont-de-Lomagne in southwestern France at the beginning of the seventeenth century in the year 1601. Being the son of a wealthy merchant, Fermat was able to gain a privileged education at monasteries and universities. The young man, however, never showed any particular strength in the subject of mathematics, choosing instead to pursue a career in the civil service of France. His elevated status in society allowed him to include the â€Å"de† in his surname. He suffered a serious attack of the plague during his adult life, severe enough to prompt friends to mistakenly pronounce him dead! Fermat never made math his career, but mathematics at th... ... Kolata, Gina. â€Å"How a gap in the Fermat proof was found.† The New York Times, 144 (January 1995): B5. Expanded Academic ASAP. Middlebury College, Middlebury, VT. 15 September 2002. Mackenzie, Dana. â€Å"Fermat’s Last Theorem Extended.† Science 285.5425 (July 1999): 178. Expanded Academic ASAP. Middlebury College, Middlebury, VT. 15 September 2002. Mozzochi, C. J. The Fermat Diary. American Mathematical Society, 2000. Ribenboim, Paulo. Fermat’s Last Theorem for Amateurs. New York: Springer, 1999. Singh, Simon. â€Å"Fermat’s Enigma: the Epic Quest to Solve the World’s Greatest Mathematical Problem.† New York: Walker, 1997. Van der Poorten, Alf. Notes on Fermat’s last theorem. New York: J. Wiley, 1996. Weisstein, Eric W. â€Å"Fermat, Pierre de.† Wolfram Research. http://scienceworld.wolfram.com/biography/Fermat.html (14 September 2002.)

Nationwide Public Health Care in US: The Argument

The right to preserve the mental and physical well-being of a person is inherent to his right to live.   All over the world, this right has been protected and established as one of the basic human rights.   However, there is a disparity among nations on how it is enforced, with most of the developed world having a universal health care system provided to everyone regardless of their ability to pay (Healthcare, par. 2).   The United States is one of those countries in the developed world which does not have a national healthcare system, but rather, healthcare is provided by many separate legal entities (Healthcare in the United States, par. 1). Many critics of the system have described it as inefficient and ineffective. According to the Physicians for a National Health Program (PNHP), the current U.S. healthcare system is â€Å"outrageously expensive, yet inadequate.† (Single-Payer National Health Insurance, par. 2)   The U.S. spends more than twice as much as other developed nations at $7,129 per capita, yet it only ranks 37th out of 191 countries according to its healthcare performance in a World Health Organization (WHO) report in 2000. Where is all the money going to?   The U.S. system is a mixed system where private and public insurers coexist.   Still, according to PNHP, private insurers waste healthcare dollars on things not involving care: â€Å"overhead, underwriting, billing, sales and marketing departments as well as huge profits and exorbitant executive pay.†   Additionally, doctors and hospitals must maintain administrative staff to deal with the bureaucracy.   Combined, this accounts for 31 percent of American's health dollars (Single-Payer National Health Insurance, par. 3) Just by looking at the numbers it seems there should be no debate on establishing a national healthcare system in the U.S., but in fact the argument rages on in the halls of national politics.   There are still several criticisms against a national health care program, mostly stemming from the fact that Americans, by and large, have a tradition of capitalism and for-profit enterprises have most of the time had their way. Cited criticisms include the old adage that introducing the free market into anything, including healthcare, will drive prices and costs down. In fact, the opposite is currently proving true.   The excess payments for care in private for-profit institutions were substantial: 19%. (Himmelstein and Woolhandler, 1814).   The standard â€Å"free market† and does not apply to the healthcare system, where competition is often absent in some areas, and where the average person is very much in the dark on evaluating the â€Å"product† of healthcare.   Add to it the unique inefficiency of the U.S. government insuring 27.3% of the population and so we have them paying these for-profit hospitals a premium on what they could do much more efficiently themselves. Likewise, private insurance have to pay significant overhead, with these costs trickling down to the individual consumer.   Under a single payer system, it is estimated that the overall savings in paperwork would amount to more than $350 billion a year, enough to provide comprehensive coverage to everyone without paying more than we actually do. (Single-Payer National Health Insurance, par. 4) In my case, this mix of private and public insurance makes me and my spouse concerned over our future rates.   Both of us are self-employed, and so have to purchase private health insurance coverage for us and for our two children.   Instead of a nationwide security system that would protect us from the costs of rising rates, I am faced with the fear that, if we make too many claims, our rates could potentially skyrocket that we could no longer afford to carry it. As compared to a country like France, which has the best healthcare in the world according to the WHO (WHO Assesses, par. 1), we are wallowing in a system that is grossly inefficient, especially considering the huge cost we pay for our health compared to these nations.   The existence of organizations like the PNHP shows that there is widespread support among physicians in the country for a universal healthcare system that will protect the right of every American to live his or her life to the fullest.   Implementing a single-payer healthcare system would not only mean better health services for Americans, it will also drive down costs (How Much would a Single-Payer System Cost, par. 1), saving money for the government, and ultimately saving our own money. R E F E R E N C E â€Å"Single-Payer National Health Insurance†. Physicians for a National Health Program. 2006. 12 June 2007. ; http://www.pnhp.org/facts/single_payer_resources.php; Introduction: How Much Would a Single-Payer System Cost?†. Physicians for a National Health Program. 2006. 12 June 2007. < http://www.pnhp.org/single_payer_resources/ introduction_how_much_would_a_singlepayer_system_cost.php> â€Å"Healthcare.† Wikipedia the Free Encyclopedia. 12 June 2007. â€Å"Healthcare in the United States.† Wikipedia, the Free Encyclopedia. 12 June 2007. < http://en.wikipedia.org/wiki/Health_care_in_the_United_States> Himmelstein, David and Woolhandler, Steffie. â€Å"The High Costs of For-Profit Care.† Canadian Medical Association Journal. 8 June 2004. 1814-1815.

Francisco Arcellana Essay

Francisco â€Å"Franz† Arcellana (September 6, 1916 – August 1, 2002) was a Filipino writer, poet, essayist, critic, journalistand teacher. He was born on September 20, 1916. Arcellana already had ambitions of becoming a writer during his years in the elementary. His actual writing, however, started when he became a member of The Torres Torch Organization during his high school years. Arcellana continued writing in various school papers at the University of the Philippines Diliman. He later on received a Rockfeller Grant and became a fellow in creative writing the University of Iowa and Breadloaf’s writers conference from 1956- 1957. He is considered an important progenitor of the modern Filipino short story in English. Arcellana pioneered the development of the short story as a lyrical prose-poetic form within Filipino literature. His works are now often taught in tertiary-level-syllabi in the Philippines. Many of his works were translated into Tagalog, Malaysia n, Russian, Italian, and German. Arcellana won 2nd place in 1951 Don Carlos Palanca Memorial Awards for Literature, with his short story, â€Å"The Flowers of May.† 14 of his short stories were also included in Jose Garcia Villa’s Honor Roll from 1928 to 1939. His major achievements included the first award in art criticism from the Art Association of the Philippines in 1954, the Patnubay ng Sining at Kalinangan award from the city government of Manila in 1981, and the Gawad Pambansang Alagad ni Balagtas for English fiction from the Unyon ng mga Manunulat sa Pilipino (UMPIL) in 1988. On April 2, 1989, the University of the Philippines conferred upon Arcellana a doctorate in humane letters, honoris causa. Francisco Arcellana was proclaimed National Artist of the Philippines in Literature on 23, 1990 by then Philippine President Corazon C. Aquino. In 2009, or seven years after his death, his family came out with a book to pay tribute to National Artist for Literature Arcellana. The book entitled, â€Å"Franz,† is a collection of essays gathered by the Arcellana family from colleagues, friends, students and family members, including f ellow National Artist Nick Joaquin, Butch Dalisay, Recah Trinidad, Jing Hidalgo,Gemino Abad, Romina Gonzalez, Edwin Cordevilla, Divina Aromin, Doreen Yu, Danton Remoto, Jose Esteban Arcellana and others. Arcellana is buried at the Libingan ng mga Bayani. Arcellana died in 2002. As a National Artist, he received a state funeral at the Libingan ng mga Bayani. His grandson Liam Hertzsprung performed a piano concert in 2006 dedicated to him. Arcellana’s published books include: Selected Stories (1962) Poetry and Politics: The State of Original Writing in English in the Philippines Today (1977) The Francisco Arcellana Sampler (1990). References 1. Jump up^ Morales, Natalia M.L.M. A Haiku for Sir Franz, In Memoriam: Franz Arcellana, Philippine Daily Inquirer, Aug. 13, 2002, www.tinig.net 2. Jump up^ http://www.globalpinoy.com/gp.topics.v1/viewtopic.php?postid=4d880cceafad2&channelName=4d880cceafad2 3. Jump up^ http://www.philstar.com/headlines/170509/national-artist-arcellana-85 4. Jump up^ http://www.ncca.gov.ph/about-ncca/org-awards/literature/francisco_arcellana.php 5. Jump up^ http://www.philstar.com/arts-and-culture/517127/regarding-franz-launch Biography of Francisco Arcellana Francisco â€Å"Franz† Arcellana (Zacarias Eugene Francisco Quino Arcellana) was a Filipino writer, poet, essayist, critic, journalist and teacher. He was born in aka Frank V. Sta. Cruz, Manila. He is the fourth of 18 children of Jose Arcellana y Cabaneiro and Epifanio Quino. He was married to Emerenciana Yuvienco with whom he has six children, one of whom, Juaniyo is an essayist, poet and fictionist. He received his first schooling in Tondo. The idea of writing occurred to him at the Tondo Intermediate School but it was at the Manila West High School (later Torres High School) that he took up writing actively as staff member of The Torres Torch, the school organ. In 1932 Arcellana entered the University of the Philippines (UP) as a pre-medicine student and graduated in 1939 with a bachelor of philosophy in degree. In his junior year, mainly because of the publication of his  Ã¢â‚¬Å"trilogy of the turtles† in the Literary Apprentice, Arcellana was invited to join the UP Writers Club by Manuel Arguilla – who at that time was already a campus literary figure. In 1934, he edited and published Expression, a quarterly of experimental writing. It caught the attention of Jose Garcia Villa who started a correspondence with Arcellana. It also spawned the Veronicans, a group of 13 pre-WWII who rebelled against traditional forms and themes in Philippine literature. Arcellana went on to medical school after receiving his bachelor’s degree while holding jobs in Herald Midweek Magazine, where his weekly column â€Å"Art and Life† (later retitled â€Å"Life and Letters†) appeared, and in Philcross, the publication of the Philippine Red Cross. The war stopped his schooling. After the war, he continued working in media and publishing and began a career in the academe. He was manager of the International News Service and the editor of This Week. He joined the UP Department of English and Comparative Literature and served as adviser of the Philippine Collegian and director of the UP Creative Writing Center, 1979- 1982. Under a Rockefeller Foundation grant he became a fellow in creative writing, 1956- 1957, at the University of Iowa and Breadloaf Writers’ Conference. In 1932 Arcellana published his first story. â€Å"The Man Who Could Be Poe† in Graphic while still a student at Torres High School. The following year two of his short stories, â€Å"Death is a Factory† and â€Å"Lina,† were included in Jose Garcia Villa’s honor roll. During the 1930’s, which he calls his most productive period, he wrote his most significant stories including, â€Å"Now Sleeps the Crimson Petal† cited in 1938 by Villa as the year’s best. He also began writing poetry at this time, many of them appearing in Philippine Collegian, Graphic and Herald Midweek Magazine. He is considered an important progenitor of the modern Filipino short story in English. Arcellana pioneered the development of the short story as a lyrical prose-poetic form within Filipino literature. His works are now often taught in tertiary-level-syllabi in the Philippines. Some of his works have been translated into Tagalog, Malaysian, Italian,  German and Russian, and many have been anthologized. Two major collections of his works are: Selected Stories, 1962, and The Francisco Arcellana Sampler, 1990. He also edited the Philippine PEN Anthology of Short Stories, 1962, and Fifteen Stories: Story Masters 5, 1973. Arcellana credits Erskine Caldwell and Whit Burnett as influences. From 1928 to 1939, 14 of his short stories were included in Jose Garcia Villa’s honor roll. His short story â€Å"The Flowers of May† won second prize in 1951 Don Carlos Palanca Memorial Award for Literature. Another short story, â€Å"Wing of Madness,† placed second in the Philippines Free Press literary contest in 1953, He also received the first award in art criticism from the Art Association of the Philippines in 1954, the Patnubay ng Sining at Kalinangan award from the city government of Manila in 1981, and the Gawad Pambansang Alagad ni Balagtas for English fiction from the Unyon ng mga Manunulat sa Pilipino (UMPIL) in 1988. He was conferred a doctorate in humane letters, honoris causa, by the UP in 1989. He was proclaimed National Artist in Literature in 1990 – L.R. Lacuesta and R.C. Lucero Francisco Arcellana’s Works: Selected Stories (1962) Poetry and Politics: The State of Original Writing in English in the Philippines Today (1977) The Francisco Arcellana Sampler (1990).  This page is based on the copyrighted Wikipedia Francisco Arcellana; it is used under the Creative Commons Attribution-ShareAlike 3.0 Unported License. You may redistribute it, verbatim or modified, providing that you comply with the terms of the CC-BY-SA. Francisco Arcellana Si Francisco Arcellana ay makata, mangangatha, kritiko, peryodista at guro. Isa siya sa mga ninuno ng makabagong Filipinong maikling katha sa Ingles. Siya ang nanguna sa pagpapalawak ng maikling katha bilang matulaing anyo. Kaniyang ipinagkakapuri ang likhang-isip sapagkat naipapakita nito ang katotohanan at naipriprisinta ang realidad. Siya ay naging mapangahas sa pagtuklas ng mga anyo ng sanaysay upang maipahayag ang talas ng pakiramdam ng mga Filipino. Dahil sa galing ng kaniyang mga kamay sa pagsulat, ang kaniyang mga likha ay siya na ngayong ginagamit ng mga mag-aaral sa kolehiyo. Mga Aklat Selected Stories (1962) Poetry and Politics: The State of Original Writing in English in the Philippines Today (1977) The Francisco Arcellana Sampler (1990) Maikling Kuwento Frankie The Man Who Would Be Poe Death in a Factory Lina Divided by Two Tula The Other Woman This Being the Third Poem This Poem is for Mathilda To Touch You I Touched Her Sanggunian â€Å"Francisco Arcellana.† ncca (hinango noong 26 Oktubre 2007). â€Å"Ang akdang ito ay katiting [stub]. Tumulong sa Wikifilipino at palawakin pa ito !† Pagkilala Mga kategorya: Buhay at Sining Panitikan Tula Nobela Kasaysayang pampanitikan Manunulat Katiting THE MATS Uploaded on Oct 25, 2011 *The Mats is about the story of the Angeles family. Where in Mr. Angeles brought home gifts (the mats) for his children from a long work-vacation. The conflicts starts when Nana Emilia (her wife) notices that he even provide gifts for their already dead children. *the story shows the strong family ties of the Filipinos (the MATS on how it is weaved) This movie is a partial requirement of our LIT-101 (Phil.Lit) under Mam Kathleen Javillionar. from Group-THE MATS of BSA1g (2011-2012)

Tartuffe (Molliere) Essays - Tartuffe, Molire, Le Tartuffe

Tartuffe (Molliere) Essays - Tartuffe, Molire, Le Tartuffe Tartuffe (Molliere) Christian Castellanos HUM1020 MWF 10-10:50 Robin Repper Tartuffe is a classic story of deceit by one who is trusted and respected. Tartuffe, the deceitful holy man, is living in the house of Oregon. Oregon has opened his doors to Tartuffe, and he greatly respects him for being the good holy man he was thought to be. The rest of the family believe that Tartuffe is a fake and a con. Oregon and Madam Parcelle are the two which believe in his holy reputation. Tartuffe convinces Oregon that he is an incredible man of great holy stature, and Oregon proceeds to sign over to Tartuffe all his possessions. Outward Appearances can sometimes be deceiving. This is evident in the way Oregon looked at Tartuffe. Tartuffe was thought to be a man of great holy influence. Oregon thought Tartuffe was a high holy figure, who was admirable because of his devotion to God. Tartuffe is actually a two- faced con artist who has no interests but that of his own welfare. Oregon is blinded by these ideals. Tartuffe takes advantage of this blindness and attempts to seduce Oregons wife and con Oregon out of all his possessions. Another action by Tartuffe was the first steps of seducing Oregons wife. He uses his rosary to pull her in closer. In this episode, Tartuffe is using a symbol of purity and holiness as a tool of lust and sin. At some points, hed be eloquent and dignified, but at times he would be as if he was going after her. There is another aspect to the seduction by Tartuffe of Oregons wife. Molierre has Oregon hiding under a table when Tartuffe is trying to physically seduce his wife. Oregon had never believed his family that Tartuffe was two faced. Oregon, seeing with his own eyes what Tartuffe was doing, finally believes them. This shows that sometimes people dont believe something until they see it with their own eyes. Moilere succeeded in making Oregon and Madam Parcelle stubborn and unmoving. Oregon was stubborn when he did not believe his family over Tartuffe. It was a bold action the wife undertook to convince Oregon that Tartuffe was a fake. Only an action so bold would convince him. Oregon felt the affect of this stubbornness when he was trying to convince Parcelle of Tartuffes deceitfulness. He was outwardly frustrated at her remarks about him and Tartuffe. Again, she needed outward proof, and she received it when the eviction notice came as Oregon was trying to convince her. The voice of reason and control in this play comes from a character by the name of Cleante. This character counters Oregons stubbornness and irrationality by providing stability and control over the situation. Cleante is Oregons brother- in- law. When Cleante notices that Tartuffe has taken over the household, he organizes a meeting to come up with a solution or plan to the situation. The actor playing Tartuffe would frequently face the camera and make faces showing his deceitfulness toward the camera. This gives the audience and insight which is not seen by the rest of the characters in the play. These actions lead to dramatic irony which introduces new aspects to the play. Camera angles played an important and interesting role in this production of Tartuffe. During the scene of the attempted escape by Oregon, the camera angle was shot in the first person of Oregon. It showed Oregons point of view as he was exiting. This method was used a couple more times in the production. Also, camera angles were oddly placed at times. While the family was planning, the camera at one point was shooting between two chairs at the table, giving a different perspective of the planning period. Also, the Camera would sometimes be moved and hurried, giving a sense of confusion. Lighting played a small role in this production. The most prominent example of the use of variation of light was in the speech given by the guard towards the end of the production. A bright white light was cast from behind making what he had to say more catching and seemingly important. The light also gave him a look of being omnipotent at the time of his speech. Tartuffe is a play emphasizing deceit, reputations, integrity, stubbornness, and the ability to be blinded by something that we see as good, but really is harmful. Outward appearances are sometimes misinterpreted. This is what happened to Oregon and Tartuffe. This play contains many conditions

How to Conjugate the French Verb Appeler (to Call)

How to Conjugate the French Verb Appeler (to Call) In French, you will use the verb  appeler  when you want to say to call. Yet, in order for the verb to make sense in a sentence, it needs to be conjugated. That is the subject of this lesson and by the end, youll be conjugating  appeler  with ease. Conjugating the French Verb  Appeler Appeler  is a  stem-changing verb.  If you notice, in the  nous  and  vous  present tense as well as the imperfect, the ll changes back  to the single l found in the original verb. Other than that minor difference, the conjugation of  appeler  is  similar to regular -er  verbs. In reality, this is one of the easier French verbs to conjugate and the chart will help you tremendously. It shows the verb form for the present, future, and imperfect past as well as the present participle. Simply match up the  subject pronoun with the form of  appeler  and youre on your way to forming a complete sentence in French. For instance, to say I call, you will say jappelle and for we will call, say nous appelerons. Appelers Present Participle The  present participle  of  appeler  is  appelant. Beyond its use as a verb for calling, you might also use it as an adjective, gerund, or noun in certain circumstances. Another Past Tense for  Appeler You can also use the  passà © composà ©Ã‚  for the past tense conjugation of  appeler. You will need to use the verbs  past participle  of appelà ©Ã‚  along with the  auxiliary verb, which is  avoir  in this case. For example, to say I called, you will use jai  appelà ©. For he called, you say il a  appelà © in French. The  ai and a are conjugations of  avoir. More Conjugations of  Appeler You may not always need these forms of  appeler, but they are good to know. The  passà © simple and imperfect subjunctive are used in formal writing, so unless you do that, theyre not very important. Yet, you should be aware of the subjunctive and conditional forms of  appeler, particularly as you learn more conversational French. The ​subjunctive will be used when the verb is uncertain or subjective. The ​conditional will be used when the verb is dependent upon circumstances. Finally, we must discuss the imperative form of  appeler. This is used for short, expressive sentences that have a request or demand. Its very useful for a verb like  appeler. The primary difference here is that you do not need to use the subject pronoun because the verb takes care of it. For example, if you want someone to Call me! you will say Appelle-moi! rather than Tu appelle-moi! Another Way to Call As you might imagine,  appeler  is just one piece in the French vocabulary for phone conversations. It can be used in other contexts such as call out or call on someone and neither has to do with a phone. For very specific phone calling, look to the verb  tà ©là ©phoner.

Strengths and Limitations of Rational-Choice Based Perspectives Essay

Strengths and Limitations of Rational-Choice Based Perspectives - Essay Example The essay "Strengths and Limitations of Rational-Choice Based Perspectives" talks about the rational choice based perspectives in terms of their reliance on mathematical techniques and tries to explain how developmental theories have recently informed our understanding of criminal behavior. A major strength of rational-choice-based perspectives is its reliance on mathematical techniques. When a theory is couched in terms of mathematics, it is usually quite straightforward to determine whether the conclusions follow from the assumptions. In effect, because of its theoretical value as contrasted to practical theories, rational choice based perspectives tend to dominate its competitors because it has been more successful empirically. Another advantage of this perspective is its emphasis and focus on decision making. Here, a decision-making approach views crime within a situational, interactional and social context. Explanations are developed that focus on the beliefs and perceptions of perpetrators of crime. Having a more extensive perspective regarding the causes of crime. Another strength of this perspective is its adherence to the principle of parsimony, i.e. it does not rely on scientists and eugenicists conducting detailed examinations of genetic material. It suggests that the individuals who have a simple choice whether to commit the crime, commit crime or not. Some people consider this as the greatest advantage of this view. This simplistic rational choice based perspective unfortunately leads to more limitations.... Furthermore, rational choice based perspectives are limited due to its abstract nature, that is to say, its lack of realistic and empirical procedures. Thus, the limiting factor of this perspective would seem to be that â€Å"the assumptions of the theory are not literally and completely true . . . Determining the validity of a model would therefore seem to involve a subtle examination of both plausibility of assumptions and conformity with real-world data† (Baylor University, 2002, 56). In relation to its unempirical approach is â€Å"the lack of evidence, which is gathered to give facts to the explanation† (â€Å"White†, 2010). Thus, it leads us to Problems associated with inadequate information and uncertainty (â€Å"Gingrich†, 2000). In other words, the rational choice model limits the explanatory value of how people choose their course of action, which is vital to analyzing criminal behavior. Lastly, a critical limitation and criticism of this view is that â€Å"some theorists argue that almost everything humans do is rational, even altruism and self-sacrifice. By expanding to include all forms of action as rational, irrational action becomes part of the model. By including every possible form of action in rational choice theory, it is not clear how the standards of what is rational and what is not are constructed† (â€Å"Gingrich†) 2. Explain how developmental theories have recently informed our understanding of criminal behavior as a developmental process. â€Å"The emerging developmental approach has emphasized the neurological, biological, mental, emotional, and social changes in children and how these changes

Mohawk Industries Case Study Example | Topics and Well Written Essays - 500 words

Mohawk Industries - Case Study Example Per the website of the company, Mohawk-Flooring.com, the Company was started in Amsterdam City in New York, in the year 1878 by Shuttleworth brothers. Although the company was started in the year 1878 the first major break for the company happened in the year 1908 when the new carpet 'Karnak' was introduced by the company. For this product there were numerous orders because of the quality and novelty of the product. The large and continuous orders made the company work on the same product for at least next five years without changing the design or colour of the product. The real name Mohawk was attributed to the company in the year 1920, when the Shuttleworth Brothers Companies amalgamated itself with McCleary, Wallin and Crouse. The Company was named after the Mohawk River Valley a part of the New York. This merger gave the additional strength for the company to become a monopoly producer of domestic woven carpets. During the 1950s the company took bold steps for major expansion and also set up manufacturing facilities in Mississippi and South Carolina. This period also witnessed the creation of an animation character 'Tommy Mohawk' by Walt Disney. In the year 1956, Mohasco Industries was formed by a merger of Mohawk Mills Inc and Alexander smith Inc.