V2EX hasse

Hasse

释义 Definition

Hasse 通常作专有名词:

  1. 哈塞(德语姓氏;常见于数学家 Helmut Hasse 等人名)
  2. 哈塞图Hasse diagram):在偏序集(poset)中,用来表示“覆盖关系”(cover relation)的图形表示法。(在数学与离散数学中非常常见)

发音 Pronunciation

/hs/

例句 Examples

A Hasse diagram can make a partial order easier to see.
哈塞图可以让偏序关系更直观。

In abstract algebra, the Hasse diagram of the divisibility relation helps visualize how elements relate without drawing every implied connection.
在抽象代数中,用哈塞图表示“整除关系”能帮助我们可视化元素之间的关联,而不必画出所有可由传递性推出的连线。

词源 Etymology

Hasse 源自德语姓氏,进入英语时多用于纪念或指代相关学者与概念;其中“Hasse diagram(哈塞图)”这一术语与数学传统中的冠名用法有关。

相关词 Related Words

文学/著作中的用例 Literary Works

  • Introduction to Lattices and Order(B. A. Davey & H. A. Priestley)在偏序与格论章节中常用 Hasse diagram
  • A First Course in Abstract Algebra(John B. Fraleigh)讨论整除关系、子群结构等内容时常出现 Hasse diagram
  • Concrete Mathematics(Graham, Knuth & Patashnik)在离散数学相关讨论中可能提及偏序与其图示方法(含 Hasse diagram 的语境)。
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