Just about everybody around here tells the story of how the official state border _ the one that the blue line closely traces _ is bogus because surveyors back in the 1800s spent too much time sampling from a moonshine still they had wandered upon.
42.
Where " n " represents both the time samples and the index; the polynomial describing the trajectory is of degree J-1; and \ eta _ n is zero mean, stationary, white noise ( not necessarily Gaussian ) with variance \ sigma _ n ^ 2.
43.
This is known as a Common Midpoint Gather ( a midpoint being the area of the subsurface that a seismic wave reflects off before returning to the receiver ) and in a typical seismic reflection processing workflow, the average amplitude would be calculated along the time sample, in a process known as stacking.
44.
The Fourier decomposes the EEG time series into a voltage by frequency spectral graph commonly called the " power spectrum ", with power being the square of the EEG magnitude, and magnitude being the integral average of the amplitude of the EEG signal, measured from ( + ) peak-to-(-) peak ), across the time sampled, or epoch.
45.
AEP holds if the process is white, in which case the time samples are i . i . d ., or there exists " T " > 1 / 2 " W ", where " W " is the nominal bandwidth, such that the " T "-spaced time samples take values in a finite set, in which case we have the discrete-time finite-valued stationary ergodic process.
46.
AEP holds if the process is white, in which case the time samples are i . i . d ., or there exists " T " > 1 / 2 " W ", where " W " is the nominal bandwidth, such that the " T "-spaced time samples take values in a finite set, in which case we have the discrete-time finite-valued stationary ergodic process.