V2EX dx

Dx

释义 Definition

dx 通常是缩写,用法因语境而异:

  1. (数学/微积分)x 的微分differential of x),常见于积分记号 ∫ f(x) dx,表示“对 x 进行积分/以 x 为变量”。
  2. (医学)诊断diagnosis)的缩写。
    (也可能指其他专有名词,如 DirectX 等,需看上下文。)

发音 Pronunciation (IPA)

/diks/

例句 Examples

We integrate with respect to x, so we write dx.
我们对 x 进行积分,所以写作 dx。

In the expression ∫ x dx, dx indicates the variable of integration and reflects the limit process behind the integral.
在表达式 ∫ x dx 中,dx 表明积分变量,并暗示积分背后的极限过程。

词源 Etymology

在微积分中,d 源自“differential(微分)”的记号传统,而 x 是常用的变量名;因此 dx 字面可理解为“x 的微分”。医学里的 dx 则是将 diagnosis(诊断)简写而来,属于专业速记用法。

相关词 Related Words

文学与著作 Notable Works

  • James Stewart Calculus(高等微积分教材中大量出现 “dx” 的积分记号)
  • Michael Spivak Calculus(以严格表述解释积分与微分记号)
  • Richard Courant & Fritz John Introduction to Calculus and Analysis(分析学语境下频繁使用 ∫…dx 等写法)
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