V2EX entrywise

Entrywise

释义 Definition

entrywise(副词,常用于数学/计算机):按元素地;逐项地。指对向量、矩阵或表格中的每一个条目(element/entry)分别进行同样的运算或比较(常与 entrywise addition/comparison 等搭配)。也常与 elementwise / componentwise 近义。

发音 Pronunciation (IPA)

/ntriwaz/

例句 Examples

We add the two matrices entrywise.
我们把这两个矩阵按元素相加。

The inequality is interpreted entrywise, meaning each corresponding component of the left-hand vector must be less than or equal to the right-hand one.
这个不等式按元素理解,也就是说左边向量的每个对应分量都必须小于或等于右边的分量。

词源 Etymology

entry(“条目;项;(矩阵的)元素”)+ 后缀 -wise(“以……方式;就……而言”)构成,字面意思是“以条目为单位地”,因此引申为“逐项/按元素地”(在矩阵与向量语境中尤为常见)。

相关词 Related Words

文学与作品 Literary Works

该词多见于数学与工程类英文著作与教材(尤其是线性代数、矩阵分析与数值计算),例如常可在以下类型作品中看到类似用法(如 entrywise comparisons/operations):

  • Matrix Analysis(Horn & Johnson)
  • Introduction to Linear Algebra(Gilbert Strang)
  • Numerical Linear Algebra(Trefethen & Bau)
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