网站公告栏代码,吉林建设教育协会网站,wordpress子站点目录,asp网站打开What is Root Mean Square (RMS)? 在统计学上#xff0c;均方根#xff08;RMS#xff09;是均方的平方根#xff0c;而均方是一组数值的平方的算术平均数。均方根也称为二次均值#xff0c;是指数为 2 的广义均值的一种特例。均方根也被定义为基于一个周期内瞬时值的平方… What is Root Mean Square (RMS)? 在统计学上均方根RMS是均方的平方根而均方是一组数值的平方的算术平均数。均方根也称为二次均值是指数为 2 的广义均值的一种特例。均方根也被定义为基于一个周期内瞬时值的平方积分的变化函数。
Statistically, the root mean square (RMS) is the square root of the mean square, which is the arithmetic mean of the squares of a group of values. RMS is also called a quadratic mean and is a special case of the generalized mean whose exponent is 2. Root mean square is also defined as a varying function based on an integral of the squares of the values which are instantaneous in a cycle. Root Mean Square Formula / 均方根公式 下面给出了均方根的计算公式可以得到一组数据值的均方根值。
The formula for Root Mean Square is given below to get the RMS value of a set of data values. 对于涉及 {x1、x2、x3,....}的 n 个数值组有效值为 Xn}均方根取值为:
For a group of n values involving {x1, x2, x3,…. Xn}, the RMS is given by: 在区间 T1 ≤ t ≤ T2 中定义的连续函数 f(t) 的计算公式为:
The formula for a continuous function f(t), defined for the interval T1 ≤ t ≤ T2 is given by: 周期函数的有效值总是等同于函数单周期的有效值。连续函数的均方根值可以近似地认为是一连串间隔均匀的实体的均方根值。此外不同波形的均方根值也无需微积分即可计算。
The RMS of a periodic function is always equivalent to the RMS of a function’s single period. The continuous function’s RMS value can be considered approximately by taking the RMS of a sequence of evenly spaced entities. Also, the RMS value of different waveforms can also be calculated without calculus. How to Calculate the Root Mean Square 计算一组给定值的均方根的步骤如下
步骤 1求出所有数值的平方
步骤 2计算所得平方的平均值
步骤 3最后求平均值的平方根 Steps to Find the Root mean square for a given set of values are given below:
Step 1: Get the squares of all the values
Step 2: Calculate the average of the obtained squares
Step 3: Finally, take the square root of the average Solved Example
Question: Calculate the root mean square (RMS) of the data set: 1, 3, 5, 7, 9 Solution:
Given set of data values: 1, 3, 5, 7, 9
Step 1: Squares of these values
1, 9, 25, 49, 81 Step 2: Average of the squares
(1 9 25 49 81)/5 165/5 33 Step 3: Take the square root of the average.
RMS √33 5.745 (approx) 参考
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Root Mean Square (RMS) - Definition, Formula and RMS Error 平方平均数 平方平均数英语quadratic mean又称均方根或方均根root mean square缩写为RMS是均方一组数字平方的算术平均数的平方根是2次方的广义平均数的表达式也可叫做2次幂平均数。其计算公式是 在连续函数的区间内其均方根定义为 参考
平方平均数 - 维基百科自由的百科全书 RMS在电路中的应用 RMS用于表征电路中的有效电压和电流其可以等效于直流电压或电流来表示波形的真实功率。RMS值提供了一个统一的标准以表示信号的幅值使其与直流信号的行为进行比较。尤其是在交流电路中RMS值用于计算信号的有效值即使用者通常会看到的等效直流值。 我们常说的交流电220V其实就是RMS值峰值需要乘以√2。
