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| | math lessons - Empty product |
 | | Some examples of the use of the empty product in mathematics may be found at the following pages: binomial theorem, factorial, fundamental theorem of arithmetic, birthday paradox, Stirling number, König's theorem, binomial type, difference operator, Pochhammer symbol, product (category theory), proof that e is irrational, prime factor, binomial series, multiset. |
 | | More generally, given an operation of multiplication on some collection of objects, the empty product is the result of multiplying no objects together. |
 | | It is generally defined to be the identity element with respect to the given operation, if such exists. |
| www.mathdaily.com /lessons/Empty_product (970 words) |
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