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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 - What does 0 stand for? The Free Dictionary
Disclaimer. All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only.

What is 0 divided by 0? | Brilliant Math & Science Wiki
Rebuttal: If we choose to set 0 0 = 1, \frac00=1, 0 0 = 1, or 0, 0, 0, it is not inconsistent with other laws of arithmetic, and it makes one of the rules in the above rebuttals true in all cases. Reply : This is a combination of the first two rebuttals, so here is a "big-picture" reply.

Zero to the power of zero - Wikipedia
Zero to the power of zero, denoted by 0 0, is a mathematical expression with no agreed-upon value.The most common possibilities are 1 or leaving the expression undefined, with justifications existing for each, depending on context. In algebra and combinatorics, the generally agreed upon value is 0 0 = 1, whereas in mathematical analysis, the expression is sometimes left undefined.

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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