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The standard logistic function is the logistic function with parameters =, =, =, which yields = + = + = / / + /.In practice, due to the nature of the exponential function, it is often sufficient to compute the standard logistic function for over a small range of real numbers, such as a range contained in [−6, +6], as it quickly converges very close to its saturation values of 0 and 1.
Excel Kobayashi and Mikako Hyatt are a pair of self-promoting, neophyte voice actresses who cosplay as Excel and Hyatt and perform the opening song "Ai (Chuuseishin)" as the Excel Girls. They appear in only three episodes (Episodes 5, 9, and 13) of the anime, in which they often receive much comedic physical abuse at the hands of the real Excel.