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	Kenneth Appel - Wikipedia, the free encyclopedia
		Kenneth Appel is a mathematician who, in 1976 with colleague Wolfgang Haken at the University of Illinois in Urbana, solved one of the most famous problems in mathematics, the four-color theorem.
		Even Appel has agreed, in numerous interviews, that it lacks elegance and provided no new insight that has guided future mathematical research.
		From 1993 through 2003, Appel was head of the mathematics department at the University of New Hampshire in Durham, New Hampshire.
	en.wikipedia.org /wiki/Kenneth_Appel (200 words)

	Four color theorem - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-10-21)
		It was not until 1976 that the four-color conjecture was finally proven by Kenneth Appel and Wolfgang Haken at the University of Illinois.
		According to Kenneth May, a mathematical historian who studied a sample of atlases in the Library of Congress, there is no tendency to minimise the number of colors used.
		After many faulty attempts the theorem was proved by Kenneth Appel and Wolfgang Haken, publicly announced 22 July 1976, and published in 1977.
	www.sevenhills.us /project/wikipedia/index.php/Four_color_theorem (1535 words)

	Kenneth Appel (Site not responding. Last check: 2007-10-21)
		Appel Verzameling van takken uit de stambomen Appel in Nederland.
		Kenneth Street Map Closeup view of the city of Kenneth, Minnesota.
		Kenneth Area Map Shows where Kenneth, Minnesota, is in relation to Luverne and surrounding communities.
	www.serebella.com /encyclopedia/article-Kenneth_Appel.html (413 words)

	Amazon.com: Books: It Takes Two.Com (Site not responding. Last check: 2007-10-21)
		Kenneth J. Appel, Ph.D. is a clinical psychologist who has worked with individuals and couples for over 37 years.
		Not only does the Appels' work reflect this wonderful state, but it permeates their romance and that of the couples who were also blessed in discovering their spiritual partners online.
		The Appels are both serious psychotherapists and their guidance is gentle and accumulative, and, from the first page on, deeply optimistic.
	www.amazon.com /exec/obidos/tg/detail/-/0967732301?v=glance (1714 words)

	Four color theorem (Site not responding. Last check: 2007-10-21)
		It is obvious that three colors are completely inadequate, and it is not difficult to prove that five colors are sufficient to color a map.
		However, it was not until 1977 that the conjecture was finally proven by Kenneth Appel and Wolfgang Haken.
		Appel, K. and Haken, W., Every Planar Map is Four-Colorable.
	bopedia.com /en/wikipedia/f/fo/four_color_theorem.html (594 words)

	Negro Leagues Baseball Museum
		Ritter had a series of strokes and died at his apartment in New York, according to Marty Appel, a regular at Ritter's monthly gathering of baseball writers.
		The book has sold more than 400,000 copies, according to Appel, and PBS aired a broadcast based on the book in 1975.
		He is survived by his son, Stephen, of Mexico, his brother, Kenneth, of Seattle, and one granddaughter.
	www.nlbm.com /ns/NewsDetail.cfm?NewsID=53 (268 words)

	Kenneth Appel (Site not responding. Last check: 2007-10-21)
		Kenneth Appel is a mathematician who in 1976 with colleague Wolfgang Haken at the University of Illinois in Urbana solved one of the famous problems in mathematics the four-color theorem.
		Appel has agreed in numerous interviews that lacks elegance and provided no new insight has guided future mathematical research.
		Others however have pointed to this work the start of a sea-change in mathematicians' toward computers - which they had largely as a tool for engineers rather than theoreticians - leading to the creation of is sometimes called "experimental mathematics."
	www.freeglossary.com /Kenneth_Appel (329 words)

	Kenneth Appel (Site not responding. Last check: 2007-10-21)
		They proved that any two-dimensional map,with certain limitations, can be filled in with four colors without any adjacent "countries" sharing the same color.
		Even Appel has agreed, in numerous interviews, that it lacks elegance andprovided no new insight that has guided future mathematical research.
		Appel's implementation of highly optimised code solving the N-bodyproblem by numerical integration was celebrated byJon Bentley in his book Programming Pearls.
	www.therfcc.org /kenneth-appel-211302.html (199 words)

	DBLP: Kenneth J. Supowit
		Andrew W. Appel, Kenneth J. Supowit: Generalization of the Sethi-Ullman Algorithm for Register Allocation.
		Kenneth J. Supowit, Steven J. Friedman: A new method for verifying sequential circuits.
		Kenneth J. Supowit, Edward M. Reingold, David A. Plaisted: The Traveling Salesman Problem and Minimum Matching in the Unit Square.
	sunsite.informatik.rwth-aachen.de /dblp/db/indices/a-tree/s/Supowit:Kenneth_J=.html (333 words)

	Unhealthy Relationships, Creating Healthy Relationships
		Our guest is Kenneth Appel, Ph.D. Dr. Appel is a clinical psychologist who has worked with individuals, couples and families for over 37 years.
		He is on the faculty of the University of California, where he teaches psychiatry residents, and also teaches in the Department of Psychiatry at California Pacific Medical Center.
		I was in San Francisco on Valentine's Day in 1997, and a promotional ad came in my email from One-and-only.com to place a free ad on their dating service.
	www.healthyplace.com /Communities/Relationships/Site/Transcripts/healthy_relationships.htm (4058 words)

	The Straight Dope: Did they finally solve the four-color map problem? (Site not responding. Last check: 2007-10-21)
		I don't know that I would call 1976 "recently," but yes, the four-color map problem was solved (more or less) using a computer by two prairie geniuses at the University of Illinois at Champaign-Urbana, Wolfgang Haken and Kenneth Appel.
		The four-color map problem, as all mathematically hip personages know, is to determine whether there is any map that requires the use of more than four different colors if you want to avoid having adjacent regions be the same color.
		Haken and Appel proved that (as was widely suspected) four colors are all you ever need.
	www.straightdope.com /classics/a1_126b.html (329 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		Keith Appel is a regionalist Alaska artist known for his large-scale public works.
		After training at Mankato State University in Minnesota, he taught art in the Anchorage school district from 1960 to 1967 and then served as art director for the district from 1968 to 1970.
		Appel then joined the faculty of the University of Alaska in Anchorage, remaining there until 1981.
	www.askart.com /artist/A/keith_kenneth_appel.asp?ID=108874 (270 words)

	Last doubts removed about the proof of the Four Color Theorem
		In 1976, two mathematicians at the University of Illinois, Kenneth Appel and Wolfgang Haken, announced that they had solved the problem.
		Appel and Haken had to identify and examine around 1500 different ways that a node could be appropriately removed and show that any minimal counterexample network must contain at least one node of one of those 1500 kinds.
		Appel and Haken started their computer-assisted investigation in 1972 and four years later they had their answer.
	www.maa.org /devlin/devlin_01_05.html (1481 words)

	VIER-FARBEN-SATZ (Site not responding. Last check: 2007-10-21)
		Erst 1977 konnten Ken Appel und Wolfgang Haken einen solchen finden.
		Der Beweis reduzierte die Anzahl der problematischen Fälle von Unendlich auf 1.936 (eine spätere Version sogar 1.476), die durch einen Computer einzeln geprüft wurden.
		Kenneth Appel and Wolfgang Haken, Every Planar Map is Four Colorable, Contemp.
	www.toonorama.com /encyclopedia/V/Vier-Farben-Satz (411 words)

	Appel's research papers
		Construction of a Semantic Model for a Typed Assembly Language, by Gang Tan, Andrew W. Appel, Kedar N. Swadi, and Dinghao Wu.
		An Indexed Model of Impredicative Polymorphism and Mutable References, by Amal Ahmed, Andrew W. Appel, and Roberto Virga.
		Polymorphic Lemmas and Definitions in Lambda Prolog and Twelf, by Andrew W. Appel and Amy P. Felty.
	www.cs.princeton.edu /~appel/papers (1306 words)

	HotAIR - Four Color Map Theorem Update (Site not responding. Last check: 2007-10-21)
		In 1976, Kenneth Appel and Wolfgang Haken of the University of Illinois solved the Four Color Problem.[1] Among mathematicians, the proof was met with both jubilation - at the solution of a problem that had defied solution since Francis Guthrie first posed it in 1852 - and dismay.
		This 741 page document is a concise outline of Appel and Haken's original, computer-aided, proof.
		This is the sort of task that we, and presumably Appel, would ordinarily delegate to troublesome graduate students.
	www.improb.com /airchives/classical/jstuff/v36/four-color-36-1.html (446 words)

	Libération : L'appel désespéré de Kenneth Bigley à Tony Blair (Site not responding. Last check: 2007-10-21)
		L'appel désespéré de Kenneth Bigley à Tony Blair
		Voici la traduction de l'appel désespéré lancé mercredi dans un enregistrement vidéo par l'otage britannique en Irak Kenneth Bigley.
		S'il vous plaît, qui que ce soit qui puisse aider et aussi le peuple britannique, qui va écouter (cet appel) parce que c'est sur les télévisions, je présume.
	www.libe.fr /page.php?Article=240800 (1394 words)

	Science News Online - Ivars Peterson's MathLand - 1/4/97
		In 1976, Kenneth Appel and Wolfgang Haken of the University of Illinois announced that they had finally proved the four-color theorem.
		Appel, who is now at the University of New Hampshire, has said, "It has troubled our profession that a problem that can be understood by a school child has yet to be solved in a way that better illuminates the reason that only four colors are needed for planar maps."
		Map coloring didn't end with the proof of Appel and Haken.
	www.sciencenews.org /sn_arc97/1_4_97/mathland.htm (1087 words)

	Libération : L'appel désespéré de Kenneth Bigley à Tony Blair (Site not responding. Last check: 2007-10-21)
		Une vidéo montrant Kenneth Bigley, l'otage britannique en Irak, implorer le Premier ministre britannique Tony Blair a été diffusée mercredi soir sur un site islamiste par le groupe du Jordanien Abou Moussab Al-Zarqaoui.
		Kenneth Bigley a été enlevé le 16 septembre avec deux Américains qui ont été décapités depuis.
		Au lendemain de la diffusion de la vidéo, le gouvernement britannique a réaffirmé jeudi qu'il ne négocierait pas avec les ravisseurs de Kenneth Bigley.
	www.liberation.com /page.php?Article=240800 (1394 words)

	Dateable.com:
		Brought to you by Kenneth Appel, PH.D. and Beverly Appel, MA, who assist people who have illnesses of mind, body, or spirit, and welcome requests for such healing.
		Their series of articles, "Success on the Internet Personals", explore what constitutes the difference between those who find their soulmate on the Internet, and those who have had little success with online romance.
		Through email and phone interviews with over 1000 people, the Appel's have discerned five key characteristics possessed by those who succeed.
	www.dateable.com /reviews/921821540.shtml (157 words)

	Amazon.com: Books: Four Colors Suffice : How the Map Problem Was Solved (Site not responding. Last check: 2007-10-21)
		One example: when Haken and Appel needed referees to check their paper, one of them was a mathematician who was bitterly disappointed that his own proof had not scooped them.
		It was only when the problem was reduced to a set of special cases that could be examined by a computer that a conclusive "proof" was finally derived by a computer in 1976.
		Kenneth Appel and Wolfgang Haken, who have been given credit for resolving the problem, programmed the computer.
	www.amazon.com /exec/obidos/tg/detail/-/0691115338?v=glance (2926 words)

	Illinois Vicodin (Site not responding. Last check: 2007-10-21)
		Ken Norton Ken Norton (b.1945 -), American-born heavyweight boxer Born Kenneth Howard Norton on August 9, 1945 in Jacksonville, Illinois, he was good enough to fight Muhammad Ali and Larry Holmes competitively.
		Ken "The Black Hercules" Norton was a good heavweight contender for the title in the late 1970s.
		Kenneth Appel Kenneth Appel is a mathematician who, in 1976 with colleague Wolfgang Haken at the University of Illinois in Urbana, solved one of the most famous problems in mathematics, the four-color theorem.
	www.bocity.com /Illinois+Vicodin-168.html (336 words)

	Kenneth - Hutchinson encyclopedia article about Kenneth (Site not responding. Last check: 2007-10-21)
		"Well," she resumed, "it was all over--they buried little Kenneth in that graveyard over the harbor, and after a while Leslie went back to her school and her studies.
		Anne's House of Dreams by Montgomery, Lucy Maud View in context
		"That's just what Ursula Townley said when her father locked her in her room the night she was going to run away with Kenneth MacNair," said the Story Girl.
	encyclopedia.farlex.com /Kenneth (131 words)

	Generalizations of the Sethi-Ullman algorithm for register allocation - Appel, Supowit (ResearchIndex) (Site not responding. Last check: 2007-10-21)
		Andrew W. Appel and Kenneth J. Supowit, "Generalizations of the Sethi-Ullman algorithm for register allocation, " Software --- Practice/Experience, vol.
		The graph only includes citing articles where the year of publication is known.
		Standard ML of New Jersey - Appel, MacQueen (1991)
	citeseer.ist.psu.edu /appel87generalizations.html (420 words)

	No. 1961: The Four-Color Problem
		Determining which special maps need to be checked and then checking them leaves enormous room for mistakes.
		Not until 1976 did Kenneth Appel and Wolfgang Haken develop the first proof of the four color problem that's withstood the test of time.
		They were able to reduce the number of special maps to something manageable, but still required a computer and 1200 hours of computing time to complete it.
	www.uh.edu /engines/epi1961.htm (680 words)

	Libération : Nouvel appel de l'otage britannique à Tony Blair (Site not responding. Last check: 2007-10-21)
		Nouvel appel de l'otage britannique à Tony Blair
		L'otage britannique Kenneth Bigley est apparu mercredi sur une vidéo diffusée sur Al-Jezira et a déclaré, selon la chaîne qui traduit ses paroles, que ses «ravisseurs ne veulent pas le tuer».
		Barbe hirsute, l'air fatigué et vêtu d'une tunique orange, Kenneth Bigley, les mains et les pieds liés par une chaîne qui lui passe par le cou, est accroupi dans une cage surmontée d'une banderole frappée du sigle de Tawhid wal Jihad (Unicité et guerre sainte), le groupe de l'islamiste jordanien Abou Moussab al-Zarqaoui.
	www.liberation.com /page.php?Article=242221 (901 words)

	1999 Member Remembrances - 1-Jan-00: News Member News article: contact William C. Robbins
		Kenneth Reed Appel died December 12, 1999, at the age of 48.
		A memorial donation will be made to the Cody Appel Scholarship Fund at the Southwest Airlines Credit Union.
		John Berry of ESP consulting passed away 2-15-99.
	www.hgs.org /en/articles/printview.asp?138 (1466 words)

	It Takes two.com (Site not responding. Last check: 2007-10-21)
		Kenneth Appel, Ph.D. is a clinical psychologist who has worked with individuals and couples for 37 years.
		Beverly Appel, M.A. has 22 years experience in counseling and healing.
		She is the Online Dating Host for the women's website, Bella Online.Com.
	www.jlbooks.com /Romance/It_takes_two_com.htm (784 words)

	Using Drugs to Curb Cravings
		Speaking to a standing-room-only crowd Tuesday at the annual meeting of the American Psychiatric Association, Charles O'Brien, MD, PhD, says a new class of medications can stop or curb cravings for alcohol, drugs, cigarettes -- even food.
		He is the Kenneth Appel Professor of Psychiatry at the University of Pennsylvania in Philadelphia.
		Charles O'Brien, MD, PhD, Kenneth Appel Professor of Psychiatry, University of Pennsylvania; director of mental health research, VA Medical Center, Philadelphia.
	my.webmd.com /content/Article/86/99102.htm?printing=true (836 words)

	The 4 Color Map Problem (Site not responding. Last check: 2007-10-21)
		Work by many people continued and the conjecture was finally proved true in 1976 by Kenneth Appel and Wolfgang Haken.
		The proof required unprecedented use of computer time and takes up an entire book: Appel and Haken, Every Planar Map is Four Colorable, Contemporary Mathematics, v.
		A very readable summary of the history and proof is in Appel and Haken, The Solution of the Four-Color-Map Problem, Scientific American, v.
	www.math.utah.edu /~alfeld/math/4color.html (309 words)

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