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・ Zero Woman
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・ Zero Zero
・ Zero Zero (band)
・ Zero Zero (comics)
・ Zero Zero Zero
・ Zero's Subs
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・ Zero-based budgeting
Zero-based numbering
・ Zero-carbon city
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・ Zero-crossing rate
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Zero-based numbering : ウィキペディア英語版
Zero-based numbering
Zero-based numbering or ''index origin = 0'' is a way of numbering in which the initial element of a sequence is assigned the index 0, rather than the index 1 as is typical in everyday ''non-programming'' circumstances. Under zero-based numbering, the initial element is sometimes termed the ''zeroth'' element, rather than the ''first'' element; ''zeroth'' is a coined ordinal number corresponding to the number zero. In some cases, an object or value that does not (originally) belong to a given sequence, but which could be naturally placed before its initial element, may be termed the zeroth element. There is not wide agreement regarding the correctness of using zero as an ordinal (nor regarding the use of the term ''zeroth'') as it creates ambiguity for all subsequent elements of the sequence when lacking context.
Numbering sequences starting at 0 is quite common in mathematics notation, in particular in combinatorics, though programming languages for mathematics usually index from 1. In computer science, array indices usually start at 0 in modern programming languages, so computer programmers might use ''zeroth'' in situations where others might use ''first'', and so forth. In some mathematical contexts, zero-based numbering can be used without confusion, when ordinal forms have well established meaning with an obvious candidate to come before ''first''; for instance a ''zeroth derivative'' of a function is the function itself, obtained by differentiating zero times. Such usage corresponds to naming an element not properly belonging to the sequence but preceding it: the zeroth derivative is not really a derivative at all. However, just as the ''first derivative'' precedes the ''second derivative'', so also does the ''zeroth derivative'' (or the original function itself) precede the ''first derivative''.
== Computer programming ==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Zero-based numbering」の詳細全文を読む



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