Last Updated：2025/12/03

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(mathematics, number theory, algebra) A homogeneous polynomial of degree 2 in a given number of variables.

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quadratic form

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quadratic form

Noun

(mathematics, number theory, algebra) A homogeneous polynomial of degree 2 in a given number of variables.

Japanese Meaning

二次形式：与えられた変数の数における2次の斉次多項式 / 2次形式：各項が2次（2乗）の項のみからなる斉次多項式

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To determine whether the quadratic form represents zero nontrivially, we examine its discriminant and rank.

Google Translation / DeepL Translation

その二次形式が非自明な解で0を表すかどうかを判断するために、判別式とランクを調べます。

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Sense（1）

(mathematics, number theory, algebra) A homogeneous polynomial of degree 2 in a given number of variables.

Historically, quadratic form theory has been treated as a rich but misunderstood uncle.

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Sense（2）

Quadratic forms of normal random vectors are of great importance in many branches of statistics, such as least-squares methods, the analysis of variance, regression analysis, and experimental design.

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quadratic forms

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quadratic form

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