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Exponential function as a special case of Lie algebra exponential maps |
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for all ''a'' > 0 and all real ''x''.
The exponential function also gives rise to the [[trigonometric function|trigonometric functions]] (as can be seen from [[Eulers formula in complex analysis|Euler's formula]]) and to the [[hyperbolic function|hyperbolic functions]]. Thus we see that all elementary functions except for the [[polynomial|polynomials]] spring from the exponential function in one way or another.
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