V2EX componentwise

Componentwise

释义 Definition

componentwise(副词/形容词)按分量地;逐分量地;对向量、矩阵或数组的每个对应元素分别进行(运算、比较或定义)。常见于数学、工程与编程语境。也常写作 component-wise

发音 Pronunciation (IPA)

/kmponntwaz/

例句 Examples

We compare the two vectors componentwise.
我们按分量比较这两个向量。

The algorithm applies the nonlinearity componentwise to the hidden states, which keeps the update stable even when inputs are noisy.
该算法把非线性逐分量地作用于隐藏状态,即使输入含噪也能保持更新稳定。

词源 Etymology

component(分量/组成部分) + -wise(以……方式;就……而言) 构成,字面意思是“以分量为单位地”。这种构词法在技术写作中常用于强调“逐项处理”,与口语中的 clockwise(顺时针)那种“-wise”用法相似,但更偏学术与工程表达。

相关词 Related Words

文学作品 Notable Literary Works

  • Linear Algebra and Its Applications(David C. Lay 等,教材中常用该词描述“逐分量/逐元素”的运算与比较)
  • Matrix Analysis(Roger A. Horn & Charles R. Johnson,讨论矩阵函数与不等式时常出现与 componentwise 同义或近义的表述)
  • Convex Optimization(Stephen Boyd & Lieven Vandenberghe,优化与不等式约束中常见“逐分量”比较与定义)
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