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number system
(redirected from Number Systems)

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number system

Method of writing numerals to represent numbers. The use of zero as a placeholder was the greatest advance in number systems. The most common system is the decimal system, in which 10 symbols (the Hindu-Arabic numerals) denote multiples of powers of 10 by their position relative to the decimal point. Computers have brought greater awareness of the binary number system, in which two symbols, 0 and 1, represent multiples of powers of 2.

number system [′nəm·bər ‚sis·təm]
(mathematics)
A mathematical system, such as the real or complex numbers, the quaternions, or the Cayley numbers, that satisfies many of the axioms of the real number system; in general, it is a finite-dimensional vector space over the real numbers with multiplicative operation under which it is an associative or nonassociative division algebra.
numeration system


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The element i is the vacuous concept: the root of the equation x^2 + 1 = 0 which does not exist and is denoted by the symbol i = sqrt(-1) from which follows that, i = sqrt(1/-1) = sqrt 1/sqrt(-1) = 1/i = i/i^2 = -i or 1 = -1 (division of both sides by i), 2 = 0, 1 = 0, i = 0, and, for any real number x, x = 0, and the entire real and complex number systems collapse.
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9780486457925 Number systems and the foundations of analysis.
Number systems and the foundations of analysis. (reprint, 1973) by SciTech Book News
 
 
 
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