union of sets

并集

Foundations & Logic · Undergraduate · Mathematics Resources editorial compilation (AI-assisted)

Translation evidence: Literature usage

Meaning in context

The union of A and B contains exactly the objects belonging to at least one of them.

A 与 B 的并集恰由至少属于其中一个集合的对象组成。

Example

{2,5}∪{5,7}={2,5,7}\{2,5\}\cup\{5,7\}=\{2,5,7\}.

Usage and distinctions

Union discards duplicate members; tagged disjoint union retains which component supplied them.

Recommended reading in this subject · Preparation & skip guidance

Definition sources

  1. Avigad, Hua, Lewis and van Doorn — Logic and Proof§11.1 Elementary Set Theory; §11.4 Cartesian Product and Power Set · Checked 2026-10-14

Translation sources

  1. 李文威 — 代数学方法，第一卷（作者源码）第1章：「ZFC 公理一览」，并集公理及派生运算 X∪Y · Checked 2026-10-14
Edit source / propose a PRReport a correction

Original encyclopedia and terminology content: CC BY-SA 4.0. Contribute or report a correction.