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Topic: F4 (mathematics)

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	Mathematics
		Closure (mathematics) In mathematics, the closure C(X) of an object X is defined to be the smallest object that both inc...
		Degeneracy (mathematics) In mathematics, a degenerate case is a limiting case in which a class of object changes its nat...
		Mathematics Mathematics is commonly defined as the study of Philosophy of mathematics.
	www.brainyencyclopedia.com /topics/mathematics.html (2391 words)

	Encyclopedia :: encyclopedia : Function (mathematics) (Site not responding. Last check: 2007-10-23)
		In mathematics, a function is a relation, such that each element of a set (the domain) is associated with a unique element of another (possibly the same) set (the codomain, not to be confused with the range).
		As a mathematical term, "function" was coined by Leibniz in 1694, to describe a quantity related to a curve, such as a curve's slope or a specific point of a curve.
		The notion of function as a rule for computing, rather than a special kind of relation, has been formalized in mathematical logic and theoretical computer science by means of several systems, including the lambda calculus, the theory of recursive functions and the Turing machine.
	www.hallencyclopedia.com /Function_(mathematics) (3013 words)

	Hans Reichenbach [Internet Encyclopedia of Philosophy]
		Mathematical geometry, a branch of mathematics, is a purely formal system and it does not deal with the truth of axioms, but with the proof of theorems, ie it only search for the consequences of axioms.
		Also the mathematical formulation of the special theory of relativity acknowledges the difference between space and time: the equation that defines the metric is dx^2 + dy^2 + dz^2 - dt^2 = ds^2 and the time coordinate is distinguishable from the space coordinates by the negative sign.
		The mathematical formulation of the special theory of relativity uses a four-dimensional space-time known as the Minkowski space (mathematician Hermann Minkowski, b 1864 d 1909, gave a mathematical formulation of Einstein's special theory of relativity), in which three coordinates are the space coordinates and one coordinate is the time coordinate.
	www.iep.utm.edu /r/reichenb.htm (8071 words)

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