V2EX root-mean-square

Root-mean-square

释义 Definition

均方根(RMS):一种衡量量值“有效大小”的方法,常用于交流电压/电流、信号强度与误差评估。计算方式是先平方、再取平均、最后开方,因此能把正负波动转化为可比较的正量。

发音 Pronunciation

/rut.minskwr/

例句 Examples

The multimeter displays the root-mean-square voltage.
万用表显示的是电压的均方根值。

For a periodic signal, the root-mean-square value represents the equivalent steady level that would deliver the same power to a resistor.
对于周期信号,均方根值表示与某一恒定水平等效、能在电阻上产生相同功率的大小。

词源 Etymology

该术语由三部分构成:root(根/开方)+ mean(平均)+ square(平方),直译即“平方的平均再开方”。它描述的正是计算步骤,因此在工程与物理语境中非常直观、常用。

相关词 Related Words

文学作品与出处 Literary Works

  • **James Clerk Maxwell, A Treatise on Electricity and Magnetism**(电磁学经典著作中讨论交流与能量度量时常涉及“有效值/RMS”概念)
  • Claude E. Shannon, “A Mathematical Theory of Communication”(信息与信号分析语境中常用均方、均方根等度量来表征信号与噪声)
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