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	Cayley biography
		In 1863 Cayley was appointed Sadleirian professor of Pure Mathematics at Cambridge.
		He gives the 'Cayley tables' of some special permutation groups but, much more significantly for the introduction of the abstract group concept, he realised that matrices and quaternions were groups.
		Cayley developed the theory of algebraic invariance, and his development of n-dimensional geometry has been applied in physics to the study of the space-time continuum.
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Cayley.html (1058 words)

	Arthur Cayley - Wikipedia, the free encyclopedia
		Cayley worked as a lawyer for 14 years, but that is not what he is remembered for.
		But Cayley doubtless felt that he was addressing not only the popular audience then and there before him, but the mathematicians of distant places and future times; for the address is a valuable historical review of various mathematical theories, and is characterized by freshness, independence of view, suggestiveness, and learning.
		To Cayley's presidential address we are indebted for information about the view which he took of the foundations of exact science, and the philosophy which commended itself to his mind.
	en.wikipedia.org /wiki/Arthur_Cayley (3523 words)

	PlanetMath: Cayley's parameterization of orthogonal matrices
		The Cayley parameterization can be generalized to the case of a general inner product with arbitrary signature (see Sylvester's law for the definition of signature -- Cayley and Sylvester were the best of friends).
		In conclusion, it might be worth pointing out that the Cayley transform generalizes to the case of infinite dimensions, if one replaces matrices with operators on a Hilbert space.
		This is version 12 of Cayley's parameterization of orthogonal matrices, born on 2004-11-27, modified 2005-02-19.
	planetmath.org /encyclopedia/CayleysParameterizationOfOrthogonalMatrices.html (572 words)

	Sir George Cayley (Site not responding. Last check: 2007-11-03)
		Sir George Cayley was born in 1773 in Scarborough England.
		A wealthy landowner, Cayley is considered the father of aerial navigation and a pioneer in the science of aerodynamics.
		Cayley's first full-size model in 1849 was large enough to support the weight of a boy.
	www.centennialofflight.gov /essay/Dictionary/Cayley/DI15.htm (205 words)

	PlanetMath: Cayley table
		A Cayley table for a group is essentially the ``multiplication table'' of the group.
		The columns and rows of the table (or matrix) are labeled with the elements of the group, and the cells represent the result of applying the group operation to the row-th and column-th elements.
		All Cayley tables for isomorphic groups are isomorphic (that is, the same, invariant of the labeling and ordering of group elements).
	planetmath.org /encyclopedia/CayleyTable.html (203 words)

	George Cayley (Site not responding. Last check: 2007-11-03)
		George Cayley was born in Scarborough, Yorkshire, in 1773.
		Cayley realised that control of flight could not be achieved until a lightweight engine was developed to give the thrust and lift required.
		It was not until 1853 that Cayley managed to build a machine that could carry the weight of a man. He also built a triplane and in 1853 persuaded his coach driver to fly 900 feet (275 m) across a small valley.
	www.spartacus.schoolnet.co.uk /AVcayley.htm (283 words)

	The Pioneers : An Anthology : Sir George Cayley Bt. (1773 - 1857)
		Cayley is the first to separate the different forces that keep an aircraft in the air, and his engraving is the first recorded drawing of a fixed-wing aircraft -- an airplane.
		Cayley was interested in reducing the 'direct resistance' (drag) of the spars in his gliders and developed the first instrument for testing streamlining.
		Cayley introduced many innovations -- wing dihedral, the tension wheel undercarriage are diverse examples -- and, as early as 1809, the suggestion that the shape of the rear of a body is as important as the front in determining resistance so that a streamlined tail is beneficial.
	www.ctie.monash.edu.au /hargrave/cayley.html (3311 words)

	Sir George Cayley û Making Aviation Practical
		Cayley described many of the concepts and elements of the modern airplane and was the first to understand and explain in engineering terms the concepts of lift and thrust.
		Cayley realized that the propulsion system should generate thrust but that the wings should be shaped so as to create lift.
		Finally, Cayley was the first investigator to apply the research methods and tools of science and engineering to the solution of the problems of flight.
	www.centennialofflight.gov /essay/Prehistory/Cayley/PH2.htm (1122 words)

	Sir George Cayley
		Sir George Cayley was a genius of science whose works in aeronautics pioneered the conquest of flight.
		In 1853 the first man-carrying Cayley glider rose from Brompton Dale with his coachman as its passenger.
		Cayley's genius embraced many disciplines and pioneered the way for later advances such as combustion engines, spoked wheels, the caterpillar tractor, finned missiles, railway safety devices, and medical equipment.
	www.allstar.fiu.edu /aero/cayley.htm (343 words)

	Arthur Cayley (Site not responding. Last check: 2007-11-03)
		In 1863 Cayley was appointed Sadleirian professor of Pure Mathematics at Cambridge.
		He gives the "Cayley tables" of some special permutation groups but, much more significantly for the introduction of the abstract group concept, he realised that matrices and quaternions were groups.
		Cayley developed the theory of algebraic invariance, and his development of n-dimensional geometry has been applied in physics to the study of the space-time continuum.
	www.stetson.edu /~efriedma/periodictable/html/C.html (553 words)

	Sir George Cayley and History of Aerodynamics
		Sir George Cayley is sometimes called the father of aeronautics.
		Cayley's lifetime achievements are discussed concisely by CH Gibbs-Smith.
		His ideas spanned from helicopters to airships, from kites to birds, but his name is not formally linked to any of the aerodynamics advances, and certainly he was in no way able to build a heavier-than-air flying machine.
	aerodyn.org /People/cayley.html (533 words)

	George Cayley in the Aviation History Encyclopedia
		Sir George Cayley (27 December 1773 - 15 December 1857) was an exuberant polymath from Brompton-by-Sawdon, near Scarborough in Yorkshire.
		His most celebrated achievement was to design and build a functional piloted (though unpowered) aeroplane, nearly fifty years before the Wright Brothers.
		He was the uncle of the mathematician Arthur Cayley.
	www.usairnet.com /encyclopedia/George_Cayley.html (783 words)

	1804 CAYLEY GLIDER
		In 1799 Sir George Cayley (1773-1857), of Brompton, Yorkshire, England, was first to document the aerodynamic forces of flight, pitch, roll, and yaw with a diagram on a small silver disk.
		He recognized the importance of having the wing at the correct angle in relation to the airflow (angle of attack), as well as the fact that superposed wings (bi- or triplane design) gave maximum lift with minimum structure weight.
		In 1809, Cayley was quoted as saying, "I feel perfectly confident that we shall be able to transport ourselves and families, and their goods and chattels, more securely by air than by water, and with a velocity of from 20 to 100 miles per hour."
	www.ohtm.org /cayley.html (196 words)

	Wired News: The Englishman Who Wanted to Fly (Site not responding. Last check: 2007-11-03)
		Examining seagulls, Cayley noticed that it was the angle and the shape of the wings that kept the birds aloft, not just flapping.
		In 1799, at the age of 26, Cayley diagramed these forces in an engraving on a silver disc about the size of a quarter.
		Cayley had known for years that aircraft wouldn't fly consistently unless a powerful engine could supply the flight's thrust.
	www.wired.com /news/print/0,1294,61611,00.html (972 words)

	George Cayley - England (Site not responding. Last check: 2007-11-03)
		Cayley was a relatively well to do baronet who lived on an estate in Yorkshire, England.
		Cayley had identified the drag vector (parallel to the flow) and the lift vector (perpendicular to the flow).
		In 1809 and 1810 Cayley published three papers on his aeronautical research where he quite correctly pointed out for the first time that: (1) lift is generated by a region of low pressure on the upper surface of the wing and; (2) cambered wings (curved surfaces) generate lift more efficiently than a flat surface.
	www.aviation-history.com /early/cayley.htm (457 words)

	Writings of Sir George Cayley
		Arguably the most important paper in the invention of the airplane is a triple paper On Aerial Navigation by Sir George Cayley.
		In this paper, Cayley argues against the ornithopter model and outlines a fixed-wing aircraft that incorporates a a separate system for propulsion and a tail to assist in the control of the airplane.
		Both ideas were crucial breakthroughs necessary to break out of the ornithopter tradition.
	invention.psychology.msstate.edu /i/Cayley/Cayley.html (94 words)

	No. 1120: Cayley's Flying Machine
		ir George Cayley was born in 1773, in Yorkshire.
		Cayley knew that serious flying machines would eventually have to be heavier than air.
		Cayley had brilliantly analyzed two of the three forces needed for aerial navigation -- lift and drag.
	www.uh.edu /engines/epi1120.htm (526 words)

	Excerpt from FAIR PLAY (Site not responding. Last check: 2007-11-03)
		Cayley is too morally advanced even to imagine asking her teacher to intervene and prohibit Melissa from trading with "foreigners." Only a very unpalatable child would attempt such a tactic.
		Cayley had a keen sense that her parents found the options less than adequate, and was eager to understand more.
		By the time Cayley was old enough to read those signs, she was old enough to know that people who want you to care about the race or religion or sex or national origin of your trading partners are bad people.
	www.panix.com /~wotw/landsburg/chapter.htm (2939 words)

	Cayley Graphs
		Most Cayley graphs however cannot be realised in two or three dimensions with all its edges the same length.
		Cayley graphs are uniform, so this dangling string net will look exactly the same regardless of which node you picked it up at.
		A Cayley graph has enough edges however that there will always be a walk visiting those two nodes and which does not visit any node twice.
	www.geocities.com /jaapsch/puzzles/cayley.htm (4407 words)

	Cayley Carroll's Nifty Photo Album
		Cayley was born in Washington, DC, on February 28, 1986.
		While in high school, Cayley was president of the Key Club for two year, drill captain of the marching band, and was company manager (president) of the Drama Club.
		Cayley is inducted in Phi Eta Sigma, the freshman honorary society, at Virginia Commonwealth University, 2005
	www.seas.gwu.edu /~carroll/cayley (401 words)

	Gliding Magazine \| Features
		After building several models, Cayley then concentrated on building full-size gliders, first the 1849 “boy carrier,” and four years later, in 1853, a tri-plane (or “Coachman Carrier”) glider which reportedly carried the coachman across the Brompton valley or dale before crashing.
		Cayley left a drawing of a car for a man-carrying glider in a notebook.
		I have only shown the cover which was flown in the Cayley replica, first by Richard Branson on a successful glide across the valley in the morning, and then by Allan McWhirter along the valley floor in the afternoon on a car tow.
	www.glidingmagazine.com /FeatureArticle.asp?id=357 (1634 words)

	John Cayley (Site not responding. Last check: 2007-11-03)
		John Cayley is a London-based poet, translator, sinologist and publisher, born in Ottawa, Canada.
		Cayley was the 2001 winner of the Electronic Literature Organization’s Award for Poetry.
		Cayley has lectured on programmable media at the University of California, San Diego, where he was also a Research Associate of the Center for Research in Computing and the Arts (CRCA).
	web.english.ufl.edu /events/events2001-02/cayley.html (157 words)

	ARTHUR CAYLEY - LoveToKnow Article on ARTHUR CAYLEY (Site not responding. Last check: 2007-11-03)
		(1821-1895), English mathematician, was born at Richmond, in Surrey, on the 16th of August 1821, the second son of Henry Cayley, a Russian merchant, and Maria Antonia Doughty.
		His father, Henry Cayley, retired from business in 1829 and settled in Blackileath, where Arthur was sent to a private school kept by the Rev. G.
		His portrait, by Lowes Dickinson, was placed in the hail of Trinity College in 1874, and his bust, by Henry Wiles, in the library of the same college in 1888.
	www.1911encyclopedia.org /C/CA/CAYLEY_ARTHUR.htm (635 words)

	Cayley Hall
		Cayley Hall is your convenient place for that special event.
		Cayley Hall is available for rental to the public.
		As of February 1, 2001 the rental rate for Cayley Hall is $250.00 per event.
	www.netrover.com /~rochespt/cayley.html (444 words)

	What is Geometric Group Theory? (Site not responding. Last check: 2007-11-03)
		The Cayley graph of G is a graph whose vertices are precisely the elements of G, and whose edges are described by the rule that for each pair of elements x, y of G there is an edge labeled by the generator s
		In this case we are using a generator a which is a 120 degree rotation, and a generator b which is a reflection.
		When the group G is infinite, its Cayley graph reflects large-scale geometric features which can have a profound effect on the algebra of G.
	www.math.mcgill.ca /wise/ggt/cayley.html (307 words)

	The Hutchinson Dictionary of Scientific Biography: Cayley, Arthur (1821-1895)@ HighBeam Research (Site not responding. Last check: 2007-11-03)
		A prolific writer of scholarly papers, he also developed the study of n -dimensional geometry, introducing the concept of the 'absolute', and devised the theory of matrices.
		Cayley was born in Richmond, Surrey, on 16 August 1821, the son of a merchant and his wife who were visiting England from their home in St Petersburg, Russia.
		Cayley spent the first eight years of his life in Russia, and then...
	www.highbeam.com /library/doc0.asp?DOCID=1P1:99915924&refid=ip_encyclopedia_hf (207 words)

	John Cayley (Site not responding. Last check: 2007-11-03)
		He is the founding editor of Wellsweep, a small press which has specialised in literary translation from Chinese, and he is known internationally for his writing in networked and programmable media (www.shadoof.net/in).
		Cayley is the recent winner of the Electronic Literature Organization's Award for Poetry 2001 (www.eliterature.org).
		Cayley has lectured on the writing programme at the University of California, San Diego, where he was also a Research Associate of the Center for Research in Computing and the Arts (CRCA).
	www.wordwrap.de /htreadings/johncayl.html (541 words)

	Neville Cayley, artist - illustrator (Site not responding. Last check: 2007-11-03)
		In that period and later N. Cayley was the chief painter of Australian birds.
		Cayley's other chief works were Finches in Bush and Aviary (1932), Budgerigars in Bush and Aviary (1933), Australian Parrots (1938), and The Fairy Wrens of Australia (1949).
		In his youthful days N. Cayley took a leading part in the founding of the Surf Life Saving Association of Australia.
	www.anbg.gov.au /biography/cayley-neville.html (200 words)

	Cayley graphs (Site not responding. Last check: 2007-11-03)
		Cayley graphs are named for Arthur Cayley (August 1821-January 1895), who though starting out as a laywer, eventually published over 900 papers and notes covering nearly every aspect of modern mathematics.
		This follows from the definition of the Cayley graph.
		Exercise 5.15.10 Show that the Cayley graph of a permutation group is connected.
	web.usna.navy.mil /~wdj/book/node186.html (303 words)

	Johns Hopkins University Press \| Books \| Arthur Cayley
		Arthur Cayley (1821—1895) was one of the most prolific and important mathematicians of the Victorian era.
		Born in England, Cayley spent his childhood in St. Petersburg, where his father was a commercial agent.
		Though a successful lawyer, Cayley devoted all his free time to mathematics and confirmed his reputation as one of the era's leading minds with a procession of brilliant articles on key aspects in pure mathematics.
	www.press.jhu.edu /books/title_pages/3472.html (277 words)

	CAYLEY CHEMICAL CORPORATION
		Cayley Chemicals are International chemical traders, specialising in the sale of Chemical Raw
		Cayley also supply competitively, quality Pharmaceutical grade products including :
		Please contact Cayley with your requirements and we will endeavour to quote you competitively.
	www.cayley.co.uk (486 words)

	Skiing the Cascade Volcanoes: Mount Cayley
		The Mount Cayley massif viewed from the east in June, with the
		summit of Mount Cayley at center and the rocky gendarmes
		Panoramic version of the photo at top, showing the entire Mount Cayley massif from the east
	www.skimountaineer.com /CascadeSki/CascadeSki.php?name=Cayley (116 words)

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