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请输入英文单字，中文词皆可：

0    
0
adj 1: indicating the absence of any or all units under
consideration; "a zero score" [synonym: {zero}, {0}]
n 1: a mathematical element that when added to another number
yields the same number [synonym: {zero}, {0}, {nought},
{cipher}, {cypher}]

A dictionary containing a natural history requires too
many hands, as well as too much time, ever to be hoped
for. --Locke.
0 \0\ adj.
1. indicating the absence of any or all units under
consideration; -- representing the number zero as an
Arabic numeral.

Syn: zero
[WordNet 1.5 PJC]

{zero}

0 Numeric zero, as opposed to the letter ‘O’ (the 15th
letter of the English alphabet). In their unmodified forms they look a lot
alike, and various kluges invented to make them visually distinct have
compounded the confusion. If your zero is center-dotted and letter-O is
not, or if letter-O looks almost rectangular but zero looks more like an
American football stood on end (or the reverse), you're probably looking at
a modern character display (though the dotted zero seems to have originated
as an option on IBM 3270 controllers). If your zero is slashed but
letter-O is not, you're probably looking at an old-style ASCII graphic set
descended from the default typewheel on the venerable ASR-33 Teletype
(Scandinavians, for whom Ø is a letter, curse this arrangement).
(Interestingly, the slashed zero long predates computers; Florian Cajori's
monumental A History of Mathematical Notations notes
that it was used in the twelfth and thirteenth centuries.) If letter-O has
a slash across it and the zero does not, your display is tuned for a very
old convention used at IBM and a few other early mainframe makers
(Scandinavians curse this arrangement even more,
because it means two of their letters collide). Some Burroughs/Unisys
equipment displays a zero with a reversed slash. Old
CDC computers rendered letter O as an unbroken oval and 0 as an oval broken
at upper right and lower left. And yet another convention common on early
line printers left zero unornamented but added a tail or hook to the
letter-O so that it resembled an inverted Q or cursive capital letter-O
(this was endorsed by a draft ANSI standard for how to draw ASCII
characters, but the final standard changed the distinguisher to a tick-mark
in the upper-left corner). Are we sufficiently confused yet?


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  • Why does 0. 00 have zero significant figures and why throw out the . . .
    A value of "0" doesn't tell the reader that we actually do know that the value is < 0 1 Would we not want to report it as 0 00? And if so, why wouldn't we also say that it has 2 significant figures? In other words, saying something has zero significant figures seems to throw out valuable information What is the downside of handling 0 as an
  • algebra precalculus - Zero to the zero power – is $0^0=1 . . .
    @Arturo: I heartily disagree with your first sentence Here's why: There's the binomial theorem (which you find too weak), and there's power series and polynomials (see also Gadi's answer) For all this, $0^0=1$ is extremely convenient, and I wouldn't know how to do without it In my lectures, I always tell my students that whatever their teachers said in school about $0^0$ being undefined, we
  • Is $0$ a natural number? - Mathematics Stack Exchange
    Inclusion of $0$ in the natural numbers is a definition for them that first occurred in the 19th century The Peano Axioms for natural numbers take $0$ to be one though, so if you are working with these axioms (and a lot of natural number theory does) then you take $0$ to be a natural number
  • Seeking elegant proof why 0 divided by 0 does not equal 1
    The reason $0 0$ is undefined is that it is impossible to define it to be equal to any real number while obeying the familiar algebraic properties of the reals It is perfectly reasonable to contemplate particular vales for $0 0$ and obtain a contradiction This is how we know it is impossible to define it in any reasonable way
  • Why Not Define $0 0$ To Be $0$? - Mathematics Stack Exchange
    That $0$ is a multiple of any number by $0$ is already a flawless, perfectly satisfactory answer to why we do not define $0 0$ to be anything, so this question (which is eternally recurring it seems) is superfluous
  • Justifying why 0 0 is indeterminate and 1 0 is undefined
    In the context of limits, $0 0$ is an indeterminate form (limit could be anything) while $1 0$ is not (limit either doesn't exist or is $\pm\infty$) This is a pretty reasonable way to think about why it is that $0 0$ is indeterminate and $1 0$ is not However, as algebraic expressions, neither is defined Division requires multiplying by a multiplicative inverse, and $0$ doesn't have one
  • Is it true that $0. 999999999\ldots=1$? - Mathematics Stack Exchange
    I'm told by smart people that $$0 999999999\\ldots=1$$ and I believe them, but is there a proof that explains why this is?





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