Last Updated：2025/11/21

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(set theory) A mathematical notation for describing a set by specifying the properties that its members must satisfy.

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set-builder notation

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Source Word

set-builder notation

Noun

(set theory) A mathematical notation for describing a set by specifying the properties that its members must satisfy.

Japanese Meaning

集合の各要素が満たすべき条件を指定することで、その集合を定義・記述する数学的記法

What is this buttons?

In the textbook, she used set-builder notation to concisely describe the set of rational numbers between 0 and 1.

Google Translation / DeepL Translation

教科書では、彼女は集合記法を使って0と1の間の有理数の集合を簡潔に記述した。

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Sense（1）

(set theory) A mathematical notation for describing a set by specifying the properties that its members must satisfy.

With this idea for describing a finite set of sets, it is easy to generalize the concept to a certain infinite family 𝒮₂ of sets 𝒮₂=A_i|i∈N=A_1,A_2,A_3,…,A_n,…. Once again, the power of set builder notation triumphs. The sets 𝒮₁ and 𝒮₂ may be described more precisely with set builder notation than by enumeration.

Google Translation / DeepL Translation

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set-builder notation

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set-builder notation

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