V2EX hilbert

Hilbert

Definition / 释义

Hilbert:希尔伯特(多指德国数学家大卫希尔伯特 David Hilbert,18621943);在数学语境中也常作定语,出现在“Hilbert space(希尔伯特空间)”“Hilbert curve(希尔伯特曲线)”“Hilbert’s problems(希尔伯特的23个问题)”等术语里。

Pronunciation / 发音

/hlbt/

Examples / 例句

Hilbert proposed 23 problems that shaped twentieth-century mathematics.
希尔伯特提出的23个问题深刻影响了二十世纪数学的发展。

In functional analysis, a Hilbert space provides a geometric framework for discussing infinite-dimensional vectors and inner products.
在泛函分析中,希尔伯特空间为讨论无限维向量与内积提供了几何化的框架。

Etymology / 词源

Hilbert是人名(姓氏),源自日耳曼语系的传统姓名元素;在英语中主要作为专有名词使用。由于大卫希尔伯特在公理化方法、数论、几何与数学基础等领域影响巨大,他的姓氏被广泛用于命名相关概念与定理。

Related Words / 相关词

Literary Works / 文学与著作例证

  • Hilbert and Ackermann, Principles of Mathematical Logic(《数理逻辑原理》)
  • E. T. Bell, Men of Mathematics(《数学精英》)中多处提及希尔伯特及其影响
  • Douglas Hofstadter, Gdel, Escher, Bach(《哥德尔、艾舍尔、巴赫》)中涉及希尔伯特计划等思想背景
  • David Hilbert, Foundations of Geometry(《几何基础》)
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