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zeroth    
a. 第 0

第 0

zeroth
adj 1: preceding even the first

First.

Since zero is the lowest value of an {unsigned} {integer},
which is one of the most fundamental types in programming and
{hardware} design, it is often natural to count from zero
rather than one, especially when the integer is actually an
{index} or {offset}, as used when addressing {hardware} and
{arrays}.

Hackers, computer scientists and pure mathematicians often
like to call the first chapter of a publication "Chapter 0",
especially if it is of an introductory nature (one of the
classic instances was in the First Edition of {K&R}).

Zero-based numbering tends to reduce {fencepost errors},
though it cannot eliminate them entirely.

Logically, the next item after the zeroth should be the
"oneth" but this is never used.

[Dijkstra, "Why Numbering Should Start at Zero"
{(http://www.cs.utexas.edu/users/EWD/transcriptions/EWD08xx/EWD831.html)}].

[{Jargon File}]

(2010-02-28)

zeroth: /zee´rohth/, adj. First. Among software designers, comes from C's and LISP's 0-based
indexing of arrays. Hardware people also tend to start counting at 0
instead of 1; this is natural since, e.g., the 256 states of 8 bits
correspond to the binary numbers 0, 1, ..., 255 and the digital
devices known as counters count in
this way.Hackers and computer scientists often like to call the first chapter
of a publicationChapter 0’, especially if it is of an
introductory nature (one of the classic instances was in the First Edition
of K&R). In recent
years this trait has also been observed among many pure mathematicians (who
have an independent tradition of numbering from 0). Zero-based numbering
tends to reduce fencepost errors, though it cannot
eliminate them entirely.


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