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  2. 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

  3. Power law of practice - Wikipedia

    en.wikipedia.org/wiki/Power_law_of_practice

    Power function: RT = aP −b + c. Exponential function: RT = ae −b(P-1) + c. Where RT = trial completion time P = trial number, starting from 1 (for exponential functions the P-1 argument is used) a, b, and c, are constants. Practice effects are also influenced by latency.

  4. Category:Exponentials - Wikipedia

    en.wikipedia.org/wiki/Category:Exponentials

    Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Help; Learn to edit; Community portal; Recent changes; Upload file

  5. 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]

  6. Euler's formula - Wikipedia

    en.wikipedia.org/wiki/Euler's_formula

    The exponential function e x for real values of x may be defined in a few different equivalent ways (see Characterizations of the exponential function). Several of these methods may be directly extended to give definitions of e z for complex values of z simply by substituting z in place of x and using the complex algebraic operations. In ...

  7. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/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.

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