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单词 BinomialEquation
释义

binomial equation


Binomial equation is an algebraic equation of the

xn-a=0

where n is a positive integer, a belongs to a certain field (or sometimes to a certain ring) and x is the unknown (or the indeterminate) of the equation.  Solving the binomial equation means taking the nth root (http://planetmath.org/NthRoot) of a.

The binomial equation is written also

xn=a.

Such a binomial equation may be examined in a group, too.

A special case of the binomial equation is the cyclotomic equation

xn-1=0.

This name comes from the fact that the roots (http://planetmath.org/Equation) of the equation the unit circle in the complex planeMathworldPlanetmath into n equally long arcs (Greek ϰυ´ϰλoς ‘circle’,  τo´μoς ‘part’).

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更新时间:2025/5/4 22:33:03