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Cayley algebra is the branch of the non-commutative algebras dealing with matrices. English mathematician Arthur Cayley developed it during 1840 to 1890. It is the only non-associative division algebra with real scalars. Division algebra i...
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An orbit is the path followed by a celestial body moving in a gravitational field. When a single object, such as a planet, is moving freely in a gravitational field of a massive body, such as a star, the orbit is in the shape of a conic se...
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The number 8 can be used in three ways: to tell "how many," to tell "where" in a ranking, and to name someone or something. The girl with the number 8 on her baseball uniform, who is 8th in the batting order, playing on a team that scores ...
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Aristotle (384-322 B.C.), a student of Plato and tutor of Alexander the Great, invented a system of logic which remained essentially unchanged in Western European philosophy for more than two millennia following his death. Although his pre...
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Length, area, and volume are all calculated differently in different orthogonal coordinate systems. The gradient of a function and the divergence and curl of vector fields, likewise, are calculated according to the orthogonal coordinates w...
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In mathematics, a property synonymous with perpendicularity when applied to vectors but applicable more generally to functions. Two elements of an inner product space are orthogonal when their inner product—for vectors, the dot produ...
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Known for his artistic renderings of shapes that are not physically possible, Oscar Reutersvard is widely acknowledged as "the father of impossible figures." His work has inspired such other great artist-mathematicians as Maurits Cornelius...
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Mechanical or electronic device that produces a back-and-forth periodic motion. A pendulum is a simple mechanical oscillator that swings with a constant amplitude, requiring the addition of energy at each swing only to compensate for the e...
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Perhaps best known for his coauthorship with John von Neumann of The Theory of Games and Economic Behavior, Oskar Morgenstern was a longtime professor and prolific author of many other influential books on economics and game theory. Morgen...
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Oswald Veblen is remembered mainly for his contributions to topology and differential and projective geometry, many of which scientists later found useful in atomic physics and relativity. He taught for many years at Princeton University a...
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1-10 for World of Mathematics
