dual number

名词 n.

中文释义

英文释义

名词 n.

A grammatical number denoting a quantity of exactly two.

— This is particularly the case with regard to the pronouns of the dual number, which form one of the peculiarities of the language.
An element of an algebra (the algebra of dual numbers) which includes the real numbers and an element ε which satisfies ε ≠ 0 and ε² = 0.

— If f(x) is a polynomial or a power series then its derivative can be obtained “automatically” using dual numbers as follows: f'(x)#61;#123;f(x#43;#92;epsilon)-f(x)#92;over#92;epsilon#125; where f(x#43;#92;epsilon) should be expanded using the algebra of dual numbers. The role of the ε is therein similar to that of an infinitesimal.

dual numbers plural