Indeterminate system - Revision history

en>David Eppstein: not unreferenced, unstub

2014-05-03T21:16:51Z

not unreferenced, unstub

← Older revision		Revision as of 23:16, 3 May 2014
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	~~{{refimproveBLP\|date=September 2013}}~~		Hi there. Let me begin by introducing the author, her title is Myrtle Cleary. Doing ceramics is what love doing. Bookkeeping is what I do. Puerto Rico is exactly where he and his spouse reside.<br><br>my homepage :: [http://www.buzzbit.net/user/AFilson www.buzzbit.net]
	'''Floyd Leroy Williams''' (born September 20, 1939) is a North American mathematician well known for his work in [[Lie theory]] and, most recently, [[mathematical physics]]. In addition to Lie theory, his research interests are in [[homological algebra]] and the mathematics of [[quantum mechanics]]. He received his B.S.(1962) in Mathematics from [[Lincoln University of Missouri]], and later his M.S.(1965) and Ph.D.(1972) from [[Washington University in St. Louis]]. Williams was appointed [[professor]] of mathematics at the [[University of Massachusetts Amherst]] in 1984, and has been professor [[emeritus]] since 2005.

	~~== Biographical Sketch ==~~
	~~{{essay-like\|date=September 2013}}~~
	Floyd Williams was born on September 20, 1939, and lived in [[Kansas City, Missouri]]. He was raised in extreme [[poverty]]. His mother told him not to complain about their situation, but rather to have faith in [[God]] and work hard. Her advice was taken, and it worked. He eventually was [[ordained]] in addition to being a [[mathematician]].

	However, it was [[music]], not [[mathematics]], that appealed to him through [[high school]]. "In fact," he admits, "mathematics was the only course in which I did not do well." Williams had not thought of going to [[college]] until his last week in high school when he was offered a music [[scholarship]] at [[Lincoln University of Missouri]] in [[Jefferson City, Missouri]].

	~~It was in his sophomore year that he became intrigued~~ by the ~~[[theory of relativity]]~~, ~~which turned out to be his main motivation for studying [[mathematics]]~~. In 1972 he completed his [[Ph.D.]] from [[Washington University]] where his [[thesis]] was in the field of [[Lie theory]]. He was an [[professor\|instructor]] and [[lecturer]] at [[MIT]] from 1972–1975, before moving to the [[University of Massachusetts Amherst]] as an assistant professor in 1975. In 1983 he received an [[MRI grant]] to continuing researching in this field, ushering him into the mainstream of mathematics.

	As an [[African-American]] in a field that has had little [[minority group\|minority]] representation, Williams has felt the sting of [[discrimination]] during his career. However, he has been a motivation and role model for many young minorities, encouraging them to enter [[science]] and [[engineering]]. Williams has helped to set up programs that allow pre-college students and [[undergraduates]] to meet and talk with [[mathematicians]], [[scientists]] and [[engineers]], most notably at a summer camp run at [[MIT]]. ~~"All that many of these youngsters see~~ is ~~different courses," he says, "but they want to know~~ what ~~mathematicians~~ do ~~from 8 am to 5 pm~~. ~~Once [[minorities]] commit to [[Postgraduate education\|graduate]] work in [[science]] or [[engineering]]," he continues, "they need extra help and support for what, for many,~~ is ~~the foreign environment of [[graduate school]]. Such programs exist at few [[universities]], but we need more of them."~~

	~~In 2012~~ he ~~became a fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-09-01.</ref>~~

	~~== Mathematics ==~~

	Williams' recent contribution to [[quantum mechanics]] has been in the area of [[Nikiforov-Uvarov]] theory of generalized [[hypergeometric differential equation]], used to solve the [[Schrödinger equation]] and to obtain the quantization of energies from a single unified point of view. This [[theory]] is developed and is also used to give a uniform approach to the theory of [[special functions]]. This study furthers to connect the modern studies of [[pure mathematics]] with [[physics]].

	~~== Bibliography ==~~
	~~Notable works of Floyd Williams include:~~

	*Floyd L. Williams. ''Topics in Quantum Mechanisms'', (Progress in Mathematical Physics, Birkhauser, 2003)
	*Floyd L. ~~Williams. ''Lectures on the spectrum of~~ <~~math~~>~~L^2(\Gamma \backslash G)~~<~~/math~~>~~'', (John Wiley & Sons, Inc., New York, 1991)~~
	*Andrei A. Bytsenko and Floyd L. Williams (Editors). ''Mathematical Methods in Physics'', (Proceeding of the 1999 Londrina Winter School, World Scientific Pub., 2000)
	*Floyd L. Williams. ''Tensor products of principal series representations: ~~Representations of complex semisimple Lie groups'', (Lecture Notes in Mathematics, Vol. 358. Springer-Verlag, Berlin-New York, 1973)~~

	~~He had written Four Books and 40 Written papers.~~

	~~==References==~~
	~~{{reflist}}~~

	~~==External links==~~
	*[http:~~//www.math.umass.edu/Directory/personal.html?email=williams Floyd Williams' Homepage]~~
	*[http://www.~~math.buffalo~~.~~edu/mad/PEEPS/williams_floydl.html Mathematicians of the African Diaspora]~~
	*[http://www.~~maa.org/summa/archive/Willm_FL.htm SUMMA Archive]~~

	~~{{Authority control\|VIAF=76846400}}~~
	~~{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]~~. ~~-->~~
	~~\| NAME = Williams, Floyd~~
	~~\| ALTERNATIVE NAMES =~~
	~~\| SHORT DESCRIPTION = American mathematician~~
	~~\| DATE OF BIRTH = September 20, 1939~~
	~~\| PLACE OF BIRTH =~~
	~~\| DATE OF DEATH =~~
	~~\| PLACE OF DEATH =~~
	}}
	~~{{DEFAULTSORT:Williams, Floyd}}~~
	~~[[Category:1939 births]]~~
	~~[[Category:Living people]]~~
	~~[[Category:Washington University in St. Louis alumni]]~~
	~~[[Category:University of Massachusetts Amherst faculty]]~~
	~~[[Category:American mathematicians]]~~
	~~[[Category:Fellows of the American Mathematical Society]~~]

en>Dingo1729: Undid revision 544553404 by 130.56.71.53 (talk) reverting simply wrong edit

2013-03-16T16:14:20Z

Undid revision 544553404 by 130.56.71.53 (talk) reverting simply wrong edit

← Older revision		Revision as of 18:14, 16 March 2013
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	~~The writer~~'~~s name~~ is ~~Christy~~. ~~For years she's~~ been ~~residing~~ in ~~Kentucky~~ but ~~her husband wants them~~ to ~~transfer~~. ~~The preferred pastime~~ for him and ~~his kids is fashion~~ and ~~he'll be beginning some thing else alongside~~ with it. ~~Office supervising~~ is what ~~she does~~ for a ~~residing~~.<br><br>~~my blog~~ - ~~are psychics real~~ ([http://www.~~octionx~~.~~sinfauganda~~.co.ug/~~node~~/~~22469 click~~ the ~~following internet page~~])		{{refimproveBLP\|date=September 2013}}
			'''Floyd Leroy Williams''' (born September 20, 1939) is a North American mathematician well known for his work in [[Lie theory]] and, most recently, [[mathematical physics]]. In addition to Lie theory, his research interests are in [[homological algebra]] and the mathematics of [[quantum mechanics]]. He received his B.S.(1962) in Mathematics from [[Lincoln University of Missouri]], and later his M.S.(1965) and Ph.D.(1972) from [[Washington University in St. Louis]]. Williams was appointed [[professor]] of mathematics at the [[University of Massachusetts Amherst]] in 1984, and has been professor [[emeritus]] since 2005.

			== Biographical Sketch ==
			{{essay-like\|date=September 2013}}
			Floyd Williams was born on September 20, 1939, and lived in [[Kansas City, Missouri]]. He was raised in extreme [[poverty]]. His mother told him not to complain about their situation, but rather to have faith in [[God]] and work hard. Her advice was taken, and it worked. He eventually was [[ordained]] in addition to being a [[mathematician]].

			However, it was [[music]], not [[mathematics]], that appealed to him through [[high school]]. "In fact," he admits, "mathematics was the only course in which I did not do well." Williams had not thought of going to [[college]] until his last week in high school when he was offered a music [[scholarship]] at [[Lincoln University of Missouri]] in [[Jefferson City, Missouri]].

			It was in his sophomore year that he became intrigued by the [[theory of relativity]], which turned out to be his main motivation for studying [[mathematics]]. In 1972 he completed his [[Ph.D.]] from [[Washington University]] where his [[thesis]] was in the field of [[Lie theory]]. He was an [[professor\|instructor]] and [[lecturer]] at [[MIT]] from 1972–1975, before moving to the [[University of Massachusetts Amherst]] as an assistant professor in 1975. In 1983 he received an [[MRI grant]] to continuing researching in this field, ushering him into the mainstream of mathematics.

			As an [[African-American]] in a field that has had little [[minority group\|minority]] representation, Williams has felt the sting of [[discrimination]] during his career. However, he has been a motivation and role model for many young minorities, encouraging them to enter [[science]] and [[engineering]]. Williams has helped to set up programs that allow pre-college students and [[undergraduates]] to meet and talk with [[mathematicians]], [[scientists]] and [[engineers]], most notably at a summer camp run at [[MIT]]. "All that many of these youngsters see is different courses," he says, "but they want to know what mathematicians do from 8 am to 5 pm. Once [[minorities]] commit to [[Postgraduate education\|graduate]] work in [[science]] or [[engineering]]," he continues, "they need extra help and support for what, for many, is the foreign environment of [[graduate school]]. Such programs exist at few [[universities]], but we need more of them."

			In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-09-01.</ref>

			== Mathematics ==

			Williams' recent contribution to [[quantum mechanics]] has been in the area of [[Nikiforov-Uvarov]] theory of generalized [[hypergeometric differential equation]], used to solve the [[Schrödinger equation]] and to obtain the quantization of energies from a single unified point of view. This [[theory]] is developed and is also used to give a uniform approach to the theory of [[special functions]]. This study furthers to connect the modern studies of [[pure mathematics]] with [[physics]].

			== Bibliography ==
			Notable works of Floyd Williams include:

			*Floyd L. Williams. ''Topics in Quantum Mechanisms'', (Progress in Mathematical Physics, Birkhauser, 2003)
			*Floyd L. Williams. ''Lectures on the spectrum of <math>L^2(\Gamma \backslash G)</math>'', (John Wiley & Sons, Inc., New York, 1991)
			*Andrei A. Bytsenko and Floyd L. Williams (Editors). ''Mathematical Methods in Physics'', (Proceeding of the 1999 Londrina Winter School, World Scientific Pub., 2000)
			*Floyd L. Williams. ''Tensor products of principal series representations: Representations of complex semisimple Lie groups'', (Lecture Notes in Mathematics, Vol. 358. Springer-Verlag, Berlin-New York, 1973)

			He had written Four Books and 40 Written papers.

			==References==
			{{reflist}}

			==External links==
			*[http://www.math.umass.edu/Directory/personal.html?email=williams Floyd Williams' Homepage]
			*[http://www.math.buffalo.edu/mad/PEEPS/williams_floydl.html Mathematicians of the African Diaspora]
			*[http://www.maa.org/summa/archive/Willm_FL.htm SUMMA Archive]

			{{Authority control\|VIAF=76846400}}
			{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
			\| NAME = Williams, Floyd
			\| ALTERNATIVE NAMES =
			\| SHORT DESCRIPTION = American mathematician
			\| DATE OF BIRTH = September 20, 1939
			\| PLACE OF BIRTH =
			\| DATE OF DEATH =
			\| PLACE OF DEATH =
			}}
			{{DEFAULTSORT:Williams, Floyd}}
			[[Category:1939 births]]
			[[Category:Living people]]
			[[Category:Washington University in St. Louis alumni]]
			[[Category:University of Massachusetts Amherst faculty]]
			[[Category:American mathematicians]]
			[[Category:Fellows of the American Mathematical Society]]

en>Kostmo: underspecification

2010-07-20T05:26:43Z

underspecification

New page

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