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The exponential function extends to an entire function on the complex plane. In other projects Wikimedia Commons. Its ubiquitous occurrence in pure and applied mathematics has led mathematician W. University of St Andrews, Scotland. Plane and Spherical Trigonometry. The function e z is not in C z i. If a variable's growth or decay rate is proportional to its size—as is the case in unlimited population growth see Malthusian catastrophe , continuously compounded interest , or radioactive decay —then the variable can be written as a constant times an exponential function of time.

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