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Topic: Arbitrary precision

	Arbitrary-precision arithmetic - Wikipedia, the free encyclopedia
		Perhaps the earliest widespread implementation of arbitrary precision arithmetic was in Maclisp.
		Consequently, arbitrary precision is only used in a limited range of applications that require extremely precise results or exact integer arithmetic with very large numbers.
		Arbitrary precision arithmetic is also used to compute fundamental mathematical constants such as pi to millions or more digits and to analyze their properties.
	en.wikipedia.org /wiki/Bignum (649 words)

	Quantum mechanics (Site not responding. Last check: 2007-10-30)
		It describes with great accuracy and precision many phenomena where classical mechanics drastically fails, including the behavior of systems at atomic length scales and below (for instance, classical mechanics is unable to account for the existence of stable atoms), as well as special macroscopic systems such as superconductors and superfluids.
		Its Quantum state can be represented as a wave, of arbitrary shape and extending over all of space, called a wavefunction.
		This implies that position and momentum can never be simultaneously measured with arbitrary precision, even in principle: as the precision of the position measurement improves, the maximum precision of the momentum measurement decreases, and vice versa.
	quantum-mechanics.iqnaut.net (4031 words)

	Publications of the SPACES team (Site not responding. Last check: 2007-10-30)
		More precisely, from a partition of the parameters' space, such that in any connected component of this partition the number of triple roots is constant, we need to compute one sample point by cell, in order to have a full description, in terms of cuspidality, of the different possible configurations.
		It was shown in a previous work that this ability to change posture without meeting a singularity is equivalent to the existence of a point in the workspace, such that a polynomial of degree four depending on the parameters of the manipulator and on the cartesian coordinates of the effector has a triple root.
		The key idea is to precise the relations between the successive Sylvester matrix of A and B in one hand and of A and XB on the other hand, using the notion of G-remainder we introduce.
	www-calfor.lip6.fr /~safey/Spaces/publications.html (13078 words)

	Open Directory - Science: Math: Number Theory: Software (Site not responding. Last check: 2007-10-30)
		BIG_INT - A library of functions to handle arbitrary length integers, written on ANSI C99.
		CALC - A calculator program for doing arbitrary precision integer arithmetic, written in ANSI C and Yacc, with a number of built-in functions for number theory, by Keith Matthews.
		GNUBC - Supports arbitrary precision integer arithmetic calculations with interactive execution: it is a superior version of the basic bc program which comes with the UNIX operating system.
	dmoz.org /Science/Math/Number_Theory/Software (705 words)

	Tower of Hanoi Puzzle on the Web
		First, a few other people also used JavaScript for online TH, for mostly up to 10 disks:
		Romuald Zylla - his game is probably the only one that knows how to start from an arbitrary disk configuration!
		Arlet Ottens and Chris Cole both include the same code written by a Sharma in bc (the Unix arbitrary precision arithmetics langauage) for finding the minimal-move solution of the four peg variation of the TH puzzle
	hanoitower.mkolar.org /HTonWebE.html (857 words)

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