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Statements

Subject Item
dbr:Non-standard_positional_numeral_systems
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비표준 위치 기수법 広義の記数法 Ne-norma pozicia numeralo Non-standard positional numeral systems
rdfs:comment
この項では基本的な位取り記数法を除く、負の数や虚数を含む記数法等について述べる。ここでは仮数とは、その位に記された数のこととし、底（てい）とは、その位の一つ上の位の値が持つ、その位に対する重みの倍率とする。 Non-standard positional numeral systems here designates numeral systems that may loosely be described as positional systems, but that do not entirely comply with the following description of standard positional systems: This article summarizes facts on some non-standard positional numeral systems. In most cases, the polynomial form in the description of standard systems still applies. However, most of the non-standard systems listed below have never been intended for general use, but were devised by mathematicians or engineers for special academic or technical use. 비표준 위치 기수법은 위치 기수법의 변형이다. 바빌로니아의 쐐기 숫자나 동아시아의 산가지도 을 가진 비표준 위치 기수법으로 볼 수 있다. Ne-norma pozicia numeralo estas numeralo prezentita en pozicia nombrosistemo, kiu devias de norma pozicia sistemo: En norma pozicia numeralo, la bazo b estas pozitiva entjero, kaj b malsamaj ciferoj estas uzataj por prezenti ĉiujn nenegativajn entjerojn. Ĉiu cifero prezentas unu el la valoroj 0, 1, 2 ... b-1, sed la valoro ankaŭ dependas de pozicio de la cifero en nombro. Ekzemple, la valoro de cifera ĉeno, en bazo b, estas . La uzo de "." kaj minuso "–" permesas prezenti ĉiujn reelajn nombrojn, kvankam iuj nombroj kiel π postulas nefinie longan ciferan ĉenon.
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비표준 위치 기수법은 위치 기수법의 변형이다. 바빌로니아의 쐐기 숫자나 동아시아의 산가지도 을 가진 비표준 위치 기수법으로 볼 수 있다. Ne-norma pozicia numeralo estas numeralo prezentita en pozicia nombrosistemo, kiu devias de norma pozicia sistemo: En norma pozicia numeralo, la bazo b estas pozitiva entjero, kaj b malsamaj ciferoj estas uzataj por prezenti ĉiujn nenegativajn entjerojn. Ĉiu cifero prezentas unu el la valoroj 0, 1, 2 ... b-1, sed la valoro ankaŭ dependas de pozicio de la cifero en nombro. Ekzemple, la valoro de cifera ĉeno, en bazo b, estas . La uzo de "." kaj minuso "–" permesas prezenti ĉiujn reelajn nombrojn, kvankam iuj nombroj kiel π postulas nefinie longan ciferan ĉenon. Ĉi tiu artikolo priskribas faktojn pri iuj ne-normaj poziciaj nombrosistemoj. この項では基本的な位取り記数法を除く、負の数や虚数を含む記数法等について述べる。ここでは仮数とは、その位に記された数のこととし、底（てい）とは、その位の一つ上の位の値が持つ、その位に対する重みの倍率とする。 Non-standard positional numeral systems here designates numeral systems that may loosely be described as positional systems, but that do not entirely comply with the following description of standard positional systems: In a standard positional numeral system, the base b is a positive integer, and b different numerals are used to represent all non-negative integers. The standard set of numerals contains the b values 0, 1, 2, etc., up to b − 1, but the value is weighted according to the position of the digit in a number. The value of a digit string like pqrs in base b is given by the polynomial form.The numbers written in superscript represent the powers of the base used.For instance, in hexadecimal (b=16), using the numerals A for 10, B for 11 etc., the digit string 7A3F means,which written in our normal decimal notation is 31295.Upon introducing a radix point "." and a minus sign "−", real numbers can be represented up to arbitrary accuracy. This article summarizes facts on some non-standard positional numeral systems. In most cases, the polynomial form in the description of standard systems still applies. Some historical numeral systems may be described as non-standard positional numeral systems. E.g., the sexagesimal Babylonian notation and the Chinese rod numerals, which can be classified as standard systems of base 60 and 10, respectively, counting the space representing zero as a numeral, can also be classified as non-standard systems, more specifically, mixed-base systems with unary components, considering the primitive repeated glyphs making up the numerals. However, most of the non-standard systems listed below have never been intended for general use, but were devised by mathematicians or engineers for special academic or technical use.
dbp:expand
By radix/base Place-value notation
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