Last Updated
：2025/11/22
monotone function
Noun
Japanese Meaning
定義域（実数の部分集合）において、入力値が大きくなると常に出力値が大きくなるか、または常に小さくなる（すなわち、x ≤ yならば f(x) ≤ f(y) または x ≤ yならば f(x) ≥ f(y)）性質を持つ関数。これは単調増加関数あるいは単調減少関数とも呼ばれます。
Sense（1）
Sense（2）
（ plural ）
Quizzes for review
(calculus) A function f : X→R (where X is a subset of R, possibly a discrete set) that either never decreases or never increases as its independent variable increases; that is, either x ≤ y implies f(x) ≤ f(y) or x ≤ y implies f(y) ≤ f(x).
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monotone function
A monotone function on a subset of the real numbers either never decreases or never increases as its independent variable increases.
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A monotone function on a subset of the real numbers either never decreases or never increases as its independent variable increases.
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