at the junction of the 18th and 19th centuries, and has gained wide popularity in the 20th century. Then, the nth moment of X is mn_Xintlimits_-inftyinfty xn f_X(x) dx and the nth central moment of X is sigman_Xintlimits_-inftyinfty (x-X_avg)n f_X(x) dx (32) Finally, let X be a random variable and let g (X) be some function of that random variable. This is one of the reasons why Gaussian random variables are so common. The thermally induced (Brownian) motion of molecules in a (a) copper wire (b) a jfet amplifier, note that the latter two situations would resort in a phenomenon known as noise whose power would be a function of the Temperature of the molecules.

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