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单词 Integral quadratic form
释义

Integral quadratic form

中文百科

二次型 Quadratic form

(重定向自Integral quadratic form)

在数学中,二次型是一些变量上的二次齐次多项式。例如

4x^2 + 2xy - 3y^2

是关于变量x和y的二次型。

二次型在许多数学分支,包括数论、线性代数、群论(正交群)、微分几何(黎曼测度)、微分拓扑(intersection forms of four-manifolds)和李代数(基灵型)中,占有核心地位。

英语百科

Quadratic form 二次型

(重定向自Integral quadratic form)

In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example,

is a quadratic form in the variables x and y.

Quadratic forms occupy a central place in various branches of mathematics, including number theory, linear algebra, group theory (orthogonal group), differential geometry (Riemannian metric), differential topology (intersection forms of four-manifolds), and Lie theory (the Killing form).

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更新时间:2025/6/19 13:31:55