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词汇 Alternating polynomial
分类 英语词汇 英语翻译词典
释义

Alternating polynomial

英语百科

Alternating polynomial

In algebra, an alternating polynomial is a polynomial f(x_1,\dots,x_n) such that if one switches any two of the variables, the polynomial changes sign:

Equivalently, if one permutes the variables, the polynomial changes in value by the sign of the permutation:

More generally, a polynomial f(x_1,\dots,x_n,y_1,\dots,y_t) is said to be alternating in x_1,\dots,x_n if it changes sign if one switches any two of the x_i, leaving the y_j fixed.

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