Last Updated：2025/11/21

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(mathematics) Of a polynomial whose leading coefficient is one. / (biology) Monomorphic. / (category theory) Of a morphism: that it is a monomorphism.

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monic

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Source Word

monic

Adjective

not-comparable

Japanese Meaning

(数学) 先頭係数が1である多項式の性質を持つ。 / (生物学) 単形態的、すなわち変態や形態に多様性がない状態を指す。 / (圏論) モノモルフィズム（単射）の性質を持つ射であることを示す。

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The monic cubic x^3 - 2x + 5 factors modulo 7.

Google Translation / DeepL Translation

先頭係数が1の三次多項式 x^3 - 2x + 5 は、法7で因数分解できます。

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Sense（1）

(mathematics) Of a polynomial whose leading coefficient is one.

Sense（2）

(biology) Monomorphic.

Sense（3）

(category theory) Of a morphism: that it is a monomorphism.

It is often convenient to view a monic arrow i:A↣C, defined in Chapter 1, as showing that A is a copy of a part of C, and that i maps the copy on to that part. For example, in Set, the monic arrows are the one-to-one functions and, clearly, if i is one-to-one then A is a copy of a subset of C, namely of the image of i.

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monic

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