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  2. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Base_(exponentiation)

    The definition of e x as the exponential function allows defining b x for every positive real numbers b, in terms of exponential and logarithm function. Specifically, the fact that the natural logarithm ln(x) is the inverse of the exponential function e x means that one has = ⁡ (⁡) = ⁡ for every b > 0.

  3. Exponential sum - Wikipedia

    en.wikipedia.org/wiki/Exponential_sum

    If the sum is of the form = ()where ƒ is a smooth function, we could use the Euler–Maclaurin formula to convert the series into an integral, plus some corrections involving derivatives of S(x), then for large values of a you could use "stationary phase" method to calculate the integral and give an approximate evaluation of the sum.

  4. Exponentiation by squaring - Wikipedia

    en.wikipedia.org/wiki/Exponentiation_by_squaring

    This algorithm calculates the value of x n after expanding the exponent in base 2 k. It was first proposed by Brauer in 1939. In the algorithm below we make use of the following function f(0) = (k, 0) and f(m) = (s, u), where m = u·2 s with u odd. Algorithm: Input

  5. 10 Best Expense Tracker Apps - AOL

    www.aol.com/10-best-expense-tracker-apps...

    Is Mint a good expense tracker? Yes, Mint is a reputable expense tracker app and has a rating of 4.8 stars on the App Store and 4.3 stars on Google Play. Is there an app to keep track of tax expenses?

  6. Template:Arithmetic operations - Wikipedia

    en.wikipedia.org/wiki/Template:Arithmetic_operations

    This template lists various calculations and the names of their results. It has no parameters. Template parameters [Edit template data] Parameter Description Type Status No parameters specified

  7. Exponential function - Wikipedia

    en.wikipedia.org/wiki/Exponential_function

    Exponential functions with bases 2 and 1/2. In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative equal to its value. . The exponential of a variable ⁠ ⁠ is denoted ⁠ ⁡ ⁠ or ⁠ ⁠, with the two notations used interchangeab

  8. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    An infinite series of any rational function of can be reduced to a finite series of polygamma functions, by use of partial fraction decomposition, [8] as explained here. This fact can also be applied to finite series of rational functions, allowing the result to be computed in constant time even when the series contains a large number of terms.

  9. Characterizations of the exponential function - Wikipedia

    en.wikipedia.org/wiki/Characterizations_of_the...

    In mathematics, the exponential function can be characterized in many ways. 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. Walter Rudin called it "the most important function in mathematics". [1]

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