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  2. Double exponential function - Wikipedia

    en.wikipedia.org/wiki/Double_exponential_function

    Aho and Sloane observed that in several important integer sequences, each term is a constant plus the square of the previous term. They show that such sequences can be formed by rounding to the nearest integer the values of a double exponential function with middle exponent 2. [ 1 ]

  3. Proof of Fermat's Last Theorem for specific exponents

    en.wikipedia.org/wiki/Proof_of_Fermat's_Last...

    Strictly speaking, these proofs are unnecessary, since these cases follow from the proofs for n = 3, n = 5, n = 7, respectively. Nevertheless, the reasoning of these even-exponent proofs differs from their odd-exponent counterparts. Dirichlet's proof for n = 14 was published in 1832, before Lamé's 1839 proof for n = 7.

  4. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    and the second-order term does not affect the limit, yielding ⁡ ⁡ = ⁡ (+). Euler's number can be defined as e = exp ⁡ ( 1 ) {\displaystyle e=\exp(1)} . It follows from the preceding equations that exp ⁡ ( x ) = e x {\displaystyle \exp(x)=e^{x}} when x is an integer (this results from the repeated-multiplication definition of the ...

  5. Exponential function - Wikipedia

    en.wikipedia.org/wiki/Exponential_function

    So, the derivative of the sum can be computed by term-by-term derivation, and this shows that the sum of the series satisfies the above definition. This is a second existence proof, and shows, as a byproduct, that the exponential function is defined for every ⁠ x {\displaystyle x} ⁠ , and is everywhere the sum of its Maclaurin series .

  6. Scientific notation - Wikipedia

    en.wikipedia.org/wiki/Scientific_notation

    Because superscript exponents like 10 7 can be inconvenient to display or type, the letter "E" or "e" (for "exponent") is often used to represent "times ten raised to the power of", so that the notation m E n for a decimal significand m and integer exponent n means the same as m × 10 n.

  7. Tetration - Wikipedia

    en.wikipedia.org/wiki/Tetration

    The term superexponentiation was published by Bromer in his paper Superexponentiation in 1987. [3] It was used earlier by Ed Nelson in his book Predicative Arithmetic, Princeton University Press, 1986. The term hyperpower [4] is a natural combination of hyper and power, which aptly describes tetration.

  8. List of mathematical functions - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_functions

    Quadratic function: Second degree polynomial, graph is a parabola. Cubic function: Third degree polynomial. Quartic function: Fourth degree polynomial. Quintic function: Fifth degree polynomial. Rational functions: A ratio of two polynomials. nth root. Square root: Yields a number whose square is the given one.

  9. Exponent bias - Wikipedia

    en.wikipedia.org/wiki/Exponent_bias

    When interpreting the floating-point number, the bias is subtracted to retrieve the actual exponent. For a half-precision number, the exponent is stored in the range 1 .. 30 (0 and 31 have special meanings), and is interpreted by subtracting the bias for an 5-bit exponent (15) to get an exponent value in the range −14 .. +15.

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