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In mathematics, the exponential function can be characterized in many ways Euler's formula, named after leonhard euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function This article presents some common characterizations, discusses why each makes sense, and proves that they are all equivalent
The exponential function occurs naturally in many branches of mathematics
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In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value The exponential of a variable is denoted or , with the two notations used interchangeably It is called exponential because its argument can be seen as an exponent to which a constant number e ≈ 2.718, the base, is raised. Plotkin bound in the mathematics of coding theory, the plotkin bound, named after morris plotkin, is a limit (or bound) on the maximum possible number of codewords in binary codes of given length n and given minimum distance d.
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