Last Updated：2025/11/21

(mathematics) a polynomial such that the sum of the exponents of the variables is the same for every term.

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homogeneous polynomial

Source Word

homogeneous polynomial

(mathematics) a polynomial such that the sum of the exponents of the variables is the same for every term.

Japanese Meaning

各項の変数の指数の和が一定となる多項式。すなわち、全ての項が同じ組み合わせで次数を持つ多項式。

A homogeneous polynomial of degree three defines a cubic curve in projective space.

項の次数の和がすべて等しい多項式（同次多項式）で次数が3のものは、射影空間における立方曲線を定める。

Sense（1）

(mathematics) a polynomial such that the sum of the exponents of the variables is the same for every term.

x³+x²ʸ+xy²+y³

homogeneous polynomials

（ plural ）