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0 - Wikipedia
0 (zero) is a number, and the numerical digit used to represent that number in numerals.It fulfills a central role in mathematics as the additive identity of the integers, real numbers, and many other algebraic structures.As a digit, 0 is used as a placeholder in place value systems. Names for the number 0 in English include zero, nought (UK), naught (US) (/ n ɔː t /), nil, or—in contexts ...
0 - definition of 0 by The Free Dictionary
Define 0. 0 synonyms, 0 pronunciation, 0 translation, English dictionary definition of 0. Noun 1. 0 - a mathematical element that when added to another number yields the same number cypher, nought, zero, cipher digit, figure - one of the elements... 0 - definition of 0 by The Free Dictionary.
0 - What does 0 stand for? The Free Dictionary
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Math Forum: Ask Dr. Math FAQ: 0! = 1
So 0! = 1 neatly fits what we expect C(n,0) and C(n,n) to be. Can factorials also be computed for non-integer numbers? Yes, there is a famous function, the gamma function G(z), which extends factorials to real and even complex numbers.
Math Forum: Ask Dr. Math FAQ: Zero to Zero Power
Some textbooks leave the quantity 0^0 undefined, because the functions 0^x and x^0 have different limiting values when x decreases to 0. But this is a mistake. We must define x^0=1 for all x , if the binomial theorem is to be valid when x=0 , y=0 , and/or x=-y . The theorem is too important to be arbitrarily restricted!
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