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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
    Is there a consensus in the mathematical community, or some accepted authority, to determine whether zero should be classified as a natural number? It seems as though formerly $0$ was considered i
  • definition - Why is $x^0 = 1$ except when $x = 0$? - Mathematics Stack . . .
    If you take the more general case of lim x^y as x,y -> 0 then the result depends on exactly how x and y both -> 0 Defining 0^0 as lim x^x is an arbitrary choice There are unavoidable discontinuities in f (x,y) = x^y around (0,0)
  • I have learned that 1 0 is infinity, why isnt it minus infinity?
    @Swivel But 0 does equal -0 Even under IEEE-754 The only reason IEEE-754 makes a distinction between +0 and -0 at all is because of underflow, and for + - ∞, overflow The intention is if you have a number whose magnitude is so small it underflows the exponent, you have no choice but to call the magnitude zero, but you can still salvage the
  • Zero power zero and $L^0$ norm - Mathematics Stack Exchange
    This definition of the "0-norm" isn't very useful because (1) it doesn't satisfy the properties of a norm and (2) $0^ {0}$ is conventionally defined to be 1
  • algebra precalculus - Prove $0! = 1$ from first principles . . .
    You can also prove it by moving the space: "0! = 1" $\Leftrightarrow$ "0 != 1", which is computer notation for "0 $\neq$ 1" :-) Then it depends on what you count as "first principles" If we're dealing with the natural numbers, this follows from the Peano axiom that the successor of a natural number is not 0 (1 being defined as the successor





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