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	Whitney - Wikipedia, the free encyclopedia
		Whitney Willard Straight a Grand Prix motor racing driver, aviator, businessman, and a member of the prominent Whitney family of the United States.
		Josiah Whitney a professor of geology at Harvard University (from 1865), and was chief of the California Geological Survey (1860-1874).
		Whitney Research Group - an informal group of individuals interested in the scholarly research of Whitney families throughout history.
	en.wikipedia.org /wiki/Whitney (339 words)

	Hassler Whitney - Wikipedia, the free encyclopedia
		Hassler Whitney (23 March 1907 – 10 May 1989) was an American mathematician who was one of the founders of singularity theory, PhB, Yale University, 1928; MusB, 1929; ScD (Honorary), 1947; PhD, Harvard University, under G.D. Birkhoff, 1932.
		The argument of Whitney is necessarily of general position type.
		Hassler Whitney's maternal grandparents were professor and astronomer Simon Newcomb and Mary Hassler Newcomb (the granddaughter of the first superintendent of the Coast Survey - Ferdinand Hassler).
	en.wikipedia.org /wiki/Hassler_Whitney (497 words)

	Encyclopedia: Hassler Whitney (Site not responding. Last check: 2007-11-07)
		In mathematics, a manifold M is a type of space, characterised in one of two equivalent ways: near every point of the space, we have a coordinate system; or near every point, the environment is like that in Euclidean space of a given dimension.
		In combinatorial mathematics, a matroid is a structure that captures the essence of a notion of independence that generalizes linear independence in vector spaces.
		Hassler Whitney was the son of New York Supreme Court Justice Edward Baldwin Whitney and Josepha (Newcomb) Whitney, and the grandson of Yale University Professor of Ancient Languages William Dwight Whitney and Connecticut Governor and US Senator Roger Sherman Baldwin, and the great-great-grandson of American founding father Roger Sherman.
	www.nationmaster.com /encyclopedia/Hassler-Whitney (1234 words)

	Whitney (Site not responding. Last check: 2007-11-07)
		Whitney attended Yale University where he received his first degree in 1928, then continued to undertake mathematical research at the University of Harvard from where his doctorate was awarded in 1932.
		Whitney was a keen mountaineer all his life and he made a particularly famous climb while an undergraduate.
		Hassler Whitney, then at Harvard, joined the group at Columbia working on questions concerning fire control systems, that is, systems which control the aiming of weaponry, especially on aircraft and rockets.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Whitney.html (1212 words)

	Hassler Whitney -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-11-07)
		Hassler Whitney (23 March 1907 — 10 May 1989) was an (A native or inhabitant of the United States) American (A person skilled in mathematics) mathematician, who was one of the founders of (Click link for more info and facts about singularity theory) singularity theory.
		He was born in (A Mid-Atlantic state; one of the original 13 colonies) New York City, and graduated from (A university in Connecticut) Yale University in 1928.
		Whitney’s purely topological work ((Click link for more info and facts about Stiefel-Whitney class) Stiefel-Whitney class, basic results on (Click link for more info and facts about vector bundle) vector bundles) entered the mainstream more quickly.
	www.absoluteastronomy.com /encyclopedia/H/Ha/Hassler_Whitney.htm (612 words)

	Encyclopedia: Whitney (Site not responding. Last check: 2007-11-07)
		Whitney is the name of several places in the United States of America:
		Hassler Whitney (23 March 1907 – 10 May 1989) was an American mathematician, who was one of the founders of singularity theory.
		Whitney Houston Whitney Elizabeth Houston (born August 9, 1963, Newark, New Jersey) is an American pop, RandB and soul singer and actress.
	www.nationmaster.com /encyclopedia/Whitney (317 words)

	Hassler Whitney Info - Bored Net - Boredom (Site not responding. Last check: 2007-11-07)
		Hassler Whitney (23 March 1907 — 10 May 1989) was a US mathematician, who was one of the founders of singularity theory.
		He was awarded a Wolf Prize in mathematics in 1983, and a Steele Prize in 1985.
		It opened the way for much more refined studies: of embedding, immersion and also of smoothing, that is, the possibility of having various smooth structures on a given topological manifold.
	www.borednet.com /e/n/encyclopedia/h/ha/hassler_whitney.html (363 words)

	Learning Math by Thinking (Site not responding. Last check: 2007-11-07)
		Hassler Whitney, a distinguished mathematician at the Institute for Advanced Study in Princeton, says that for several decades mathematics teaching has largely failed.
		Whitney has spent many years in classrooms, both teaching mathematics and observing how it is taught, and he calls for an end to what he considers wrongheaded ways.
		Whitney, in a recent report in The Journal of Mathematical Behaviour, recalled an experiment begun in 1929 by L. Benezet, then superintendent of schools in Manchester, N.H. Mr.
	hackensackhigh.org /math.html (931 words)

	Hassler Whitney (Site not responding. Last check: 2007-11-07)
		Hassler Whitney (23 March 1907 –; 10 May 1989) was a US mathematician, who was one of thefounders of singularity theory.
		In fact theidea of stratification, used for thatapplication and many others, was also introduced by Whitney, in a precise form (his conditions A and B).
		These aspects of Whitney’s work have looked more unified, in retrospect and with the general development of singularitytheory in its aspect of the failure of smoothness.
	www.therfcc.org /hassler-whitney-69636.html (342 words)

	James and Jennifer's Climbing Web
		My grandfather was Hassler Whitney, mathematician and mountaineer, who made the first ascent of the Whitney Gilman ridge (5.7) on Cannon cliff, New Hampshire in 1929 with his cousin Bradley Gilman.
		Hassler Whitney subscribed to the "fast and light" school of mountaineering (and rock climbing).
		Hassler used pitons for protection, not for aid climbing (as pitons later became commonly used for).
	melhuish.org /climb (642 words)

	Josh Cooper's Math Pages : Whitney Numbers (Site not responding. Last check: 2007-11-07)
		The late Gian-Carlo Rota coined the term "Whitney numbers" to refer to the sizes of each of the rank-levels of a geometric lattice L, in honor of the combinatorialist and topologist Hassler Whitney, who more or less discovered/invented matroids.
		Whitney number is the number of flats in L with rank n.
		Rota conjectured in 1970 that the sequence of Whitney numbers for every graph is unimodal, but no one has been able to prove it or find a counterexample.
	www.math.nyu.edu /~cooper/graph.html (663 words)

	Hassler Whitney (Site not responding. Last check: 2007-11-07)
		Hassler Whitney (la 23 de marcha de 1907 - el 10 de mayo de 1989) era un matemático de los E.E.U.U., que era uno de los fundadores de la teoría de la singularidad.
		La discusión de Whitney está necesariamente de tipo general de la posición.
		Estos aspectos del trabajo de Whitney han parecido unificados, en la retrospección y con el revelado general de la teoría de la singularidad en su aspecto de la falla de la suavidad.
	www.yotor.net /wiki/es/ha/Hassler%20Whitney.htm (419 words)

	Einbettungssatz von Whitney - Wikipedia
		Der Einbettungssatz von Whitney ist ein grundlegendes Theorem in der Differentialgeometrie.
		Er wurde 1936 vom amerikanischen Mathematiker Hassler Whitney bewiesen.
		Aber das Resultat von Whitney ist scharf in dem Sinn, dass es für jedes n eine n-dimensionale Mannigfaltikeit gibt, die in den 2n-dimensionalen Raum, aber nicht in den (2n − 1)-dimensionalen Raum eingebettet werden kann.
	de.wikipedia.org /wiki/Einbettungssatz_von_Whitney (220 words)

	Matroids: The Value of Abstraction (Site not responding. Last check: 2007-11-07)
		The person generally credited with beginning the theory of matroids was Hassler Whitney (1907-1989).
		Whitney was a towering figure in American mathematics, having made major contributions to the theory of graphs and to topology.
		This major avenue of investigation, which was already raised by Whitney, is whether or not any matroid is representable over some field F. This question is still an unsolved problem.
	80-www.ams.org.library.uor.edu /featurecolumn/archive/matroids4.html (611 words)

	Hassler Whitney
		Hassler Whitney (23 March 1907 &- 10 May 1989) was a US mathematician, who was one of the founders of singularity theory.
		The argument of Whitney is necessarily of general position type.A few years later, Whitney wrote the foundational paper on matroids.
		This artikel Whitney is licensed under the GNU free Documentation License.
	www.bookreportforfree.com /367384_hassler-whitney_1114151416geometricintegrationtheoryworldsbiggest.html (426 words)

	Whitney embedding theorem - Encyclopedia, History, Geography and Biography
		In differential topology, the Whitney embedding theorem states that any smooth second-countable $m$ -dimensional manifold can be embedded in Euclidean $2m$ -space.
		Whitney trick is used to prove h-cobordism theorem, it also shows that two oriented submanifolds of complimentary dimensions in a simply connected manifold of dimension $\ge 5$ are isotopic to submanifolds such that all points of intersections have the same sign.
		The article about Whitney embedding theorem contains information related to Whitney embedding theorem, A little about the proof, Whitney trick, Other things coming from Whitney trick, History and See also.
	www.arikah.net /encyclopedia/Whitney_embedding_theorem (277 words)

	Hasler - Hasler, Inc. is well-known for its broad line of mailing and shipping systems and mail support equipment such ... (Site not responding. Last check: 2007-11-07)
		Hans Leo Hassler, important German composer and organist of the late Renaissance, was born in Nuremberg in of the prominent musician Issak Hassler (1530-1591) from whom he received.
		John Hassler: current contact information and listing of economic research of this author provided by RePEc/IDEAS This is information that was supplied by John Hassler in registering through RePEc.
		Hassler has an experimental background in ultraviolet spectroscopy and the calibration/characterization.
	www.destarter.com /hassler/hasler.html (616 words)

	Clearing up the market cycle... best Whitney Singularity (Site not responding. Last check: 2007-11-07)
		If Periodia value is 26, that means that from the vary last maximum of its passed 26 ticks of time and we have "period length"/2-26 ticks of time to reverse point.
		with the fundamental discoveries of Whitney (1955), Thom (1958), Mather (1970), Brieskorn...
		This is a picture of Whitney's Singularity, an example of a singular algebraic surface of the type studied in topology and singularity theory.
	ascot.pl /th/Fourier5/Whitney-Singularity.htm (336 words)

	Bouldering History3
		Whitney told of climbing on boulders in Sleeping Giant State Park and East Rock Park, both in the New Haven, Connecticut area, in the early 1920s, while a student at Yale.
		In personality Whitney was an introvert and loner, mildly eccentric, of strong convictions quietly and tenaciously held.
		Whitney's solo climbs on the Giant (20 - 100 feet) illustrated a facet of the Young ideal.
	www128.pair.com /r3d4k7/Bouldering_History3.0.html (2322 words)

	Whitney embedding theorem
		In differential topology, the Whitney embedding theorem states that
		Any smooth second-countable -dimensional manifold can be embedded in Euclidean 2m-space.
		Whitney trick is used to prove h-cobordism theorem, it also shows that two oriented submanifolds of complimentary dimensions in a simply connected manifold of dimension are isotopic to submanifolds such that all points of intesections have the same sign.
	pedia.newsfilter.co.uk /wikipedia/w/wh/whitney_embedding_theorem.html (176 words)

	Biography Of Eli Whitney (Site not responding. Last check: 2007-11-07)
		In grammar, a preposition is a word that establishes a relationship betweenan object (usually a noun phrase)and some other part of the sentence, oftenexpressing a location in place or time.
		3) " Whitney" -- in the term Biography Of Eli Whitney
		Whitney is the name of several places in the United States ofAmerica :
	www.daikaiju.com /edge/44659-biography%20of%20eli%20whitney.html (309 words)

	Whitney -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-11-07)
		Whitney is the name of several places in the (North American republic containing 50 states - 48 conterminous states in North America plus Alaska in northwest North America and the Hawaiian Islands in the Pacific Ocean; achieved independence in 1776) United States of America:
		(Click link for more info and facts about Hassler Whitney) Hassler Whitney was an American mathematician.
		(United States inventor of the mechanical cotton gin (1765-1825)) Eli Whitney inventor of the (A machine that separates the seeds from raw cotton fibers) Cotton gin.
	www.absoluteastronomy.com /encyclopedia/W/Wh/Whitney.htm (160 words)

	Finite Fields and Applications Plenary Talk (Site not responding. Last check: 2007-11-07)
		The problem we wish to discuss was addressed by David Slepian in the 60s and, earlier and more generally, by Hassler Whitney.
		Clearly, from the point of view of the coding theorist, we wish to classify the k-dimensional ``row spaces'' of n-tuples from the field F, under the equivalence given by permuting the coordinates and possibly multiplying each coordinate by a non-zero scalar.
		For Whitney it was the collection of columns and their linear dependencies that was of interest --- a dual point of view.
	www.lehigh.edu /efa0/public/www-data/watab.html (522 words)

	Articles - William Dwight Whitney (Site not responding. Last check: 2007-11-07)
		He continued studying and worked at a bank in Northampton for several years, then assisted his brother Josiah Whitney on a geological survey of the Lake Superior region in 1849.
		Whitney revised definitions for the 1864 edition of Webster's American Dictionary, and in 1869 became a founder and first president of the American Philological Association.
		His grandson was the much famed mathematician, Professor Hassler Whitney.
	www.gaple.com /articles/William_Dwight_Whitney (518 words)

	Benezet Centre (Site not responding. Last check: 2007-11-07)
		At least, that is the result of arithmetic teaching today, as these extracts from current research indicates.
		Whitney (now deceased), a research mathematician at the Institute for Advanced Study, got interested in elementary education and saw great value in Benezet's approach.
		A meaningful, holistic approach is advocated, rather than an emphasis on rules and procedures.
	www.inference.phy.cam.ac.uk /sanjoy/benezet (642 words)

	References for Whitney (Site not responding. Last check: 2007-11-07)
		J Eells and D Toledo (eds.), Hassler Whitney, Collected papers I (Birkhäuser Boston, Inc., Boston, MA, 1992).
		J Eells and D Toledo (eds.), Hassler Whitney, Collected papers II (Birkhäuser Boston, Inc., Boston, MA, 1992).
		A Shields, Differentiable manifolds : Weyl and Whitney, Math.
	www-groups.dcs.st-and.ac.uk /~history/Printref/Whitney.html (121 words)

	[No title] (Site not responding. Last check: 2007-11-07)
		In 1935, Hassler Whitney showed that every C^infinity manifold M of dimension n may be embedded in R^N as long as N > 2n, that is, there is a submanifold of R^N whose points may be put into 1-to-1 correspondence with M in a continuous way (with the inverse also continuous).
		Using Whitney's theorems, one can certainly find an M' in R^n and the smooth correspondence, but there's no guarantee that the metric information will be at all correct.
		Combined with the Whitney theorems, this shows M is isometric to a submanifold of R^(2n).
	www.math.niu.edu /~rusin/known-math/96/diff.geom (3186 words)

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