“root-mean-square value”的概念、定义、翻译、参考文献-科学参考

root-mean-square value

Physics

1. (in statistics) A typical value of a number (n) of values of a quantity (x₁,x₂,x₃…) equal to the square root of the sum of the squares of the values divided by n, i.e.

$RMS value = [(\sqrt x_{1}^{2} + x_{2}^{2} + x_{3}^{2} \dots / n]$

2. (in physics) A typical value of a continuously varying quantity, such as an alternating electric current, obtained similarly from many samples taken at regular time intervals during a cycle. Theoretically this can be shown to be the effective value, i.e. the value of the equivalent direct current that would produce the same power dissipation in a given resistor. For a sinusoidal current this is equal to I_m/√2, where I_m is the maximum value of the current.

Chemistry

1. (in statistics) A typical value of a number (n) of values of a quantity (x₁,x₂,x₃…) equal to the square root of the sum of the squares of the values divided by n, i.e.
$RMS value = \sqrt [(x_{1}^{2} + x_{2}^{2} + x_{3}^{2} ...) / n]$
2. (in physics) A typical value of a continuously varying quantity, such as an alternating electric current, obtained similarly from many samples taken at regular time intervals during a cycle. Theoretically this can be shown to be the effective value, i.e. the value of the equivalent direct current that would produce the same power dissipation. For a sinusoidal current this is equal to I_m/√2, where I_m is the maximum value of the current.

单词	root-mean-square value
释义	root-mean-square value Physics 1. (in statistics) A typical value of a number (n) of values of a quantity (x₁,x₂,x₃…) equal to the square root of the sum of the squares of the values divided by n, i.e. $RMS value = [(\sqrt x_{1}^{2} + x_{2}^{2} + x_{3}^{2} \dots / n]$ 2. (in physics) A typical value of a continuously varying quantity, such as an alternating electric current, obtained similarly from many samples taken at regular time intervals during a cycle. Theoretically this can be shown to be the effective value, i.e. the value of the equivalent direct current that would produce the same power dissipation in a given resistor. For a sinusoidal current this is equal to I_m/√2, where I_m is the maximum value of the current. Chemistry 1. (in statistics) A typical value of a number (n) of values of a quantity (x₁,x₂,x₃…) equal to the square root of the sum of the squares of the values divided by n, i.e. $RMS value = \sqrt [(x_{1}^{2} + x_{2}^{2} + x_{3}^{2} ...) / n]$ 2. (in physics) A typical value of a continuously varying quantity, such as an alternating electric current, obtained similarly from many samples taken at regular time intervals during a cycle. Theoretically this can be shown to be the effective value, i.e. the value of the equivalent direct current that would produce the same power dissipation. For a sinusoidal current this is equal to I_m/√2, where I_m is the maximum value of the current.
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