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[The growth function w = e (sin (pi/2(t/te)(p))) (2q) and its properties (author's transl)]
Abstract:
Preceding investigations into increase functions of organic growth and their integration to growth functions have repeatedly shown curves looking like axially deformed harmonic functions. Arising from this experience the function W = E (sin (pi/2)t/tE)(p)))(2q) is considered and shown to be settled between growth functions of the increase types dW/dt = ktp(E--W)n and dW/dt = kWm(tE--t)q respectively. After gaining relations of the parameters to the basic values of growth and time graphs are given for the growth and increase functions in general and for 1 = 1 and p = 1 as special cases.