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  2. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    For positive real numbers, exponentiation to real powers can be defined in two equivalent ways, either by extending the rational powers to reals by continuity (§ Limits of rational exponents, below), or in terms of the logarithm of the base and the exponential function (§ Powers via logarithms, below).

  3. Exponential function - Wikipedia

    en.wikipedia.org/wiki/Exponential_function

    Extension of exponentiation to positive real bases: Let b be a positive real number. The exponential function and the naturel logarithm being the inverse each of the other, one has b = exp ⁡ ( ln ⁡ b ) . {\displaystyle b=\exp(\ln b).}

  4. Base (exponentiation) - Wikipedia

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

    The number n is called the exponent and the expression is known formally as exponentiation of b by n or the exponential of n with base b. It is more commonly expressed as "the nth power of b", "b to the nth power" or "b to the power n". For example, the fourth power of 10 is 10,000 because 10 4 = 10 × 10 × 10 × 10 = 10,000.

  5. Exponentiation by squaring - Wikipedia

    en.wikipedia.org/wiki/Exponentiation_by_squaring

    In mathematics and computer programming, exponentiating by squaring is a general method for fast computation of large positive integer powers of a number, or more generally of an element of a semigroup, like a polynomial or a square matrix. Some variants are commonly referred to as square-and-multiply algorithms or binary exponentiation.

  6. Characterizations of the exponential function - Wikipedia

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

    Define to be the unique number y > 0 such that =. That is, e x {\displaystyle e^{x}} is the inverse of the natural logarithm function x = ln ⁡ ( y ) {\displaystyle x=\ln(y)} , which is defined by this integral.

  7. Power of two - Wikipedia

    en.wikipedia.org/wiki/Power_of_two

    Visualization of powers of two from 1 to 1024 (2 0 to 2 10) as base-2 Dienes blocks. A power of two is a number of the form 2 n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.

  8. 15 travel destinations so overrun with tourists that you may ...

    www.aol.com/news/15-travel-destinations-overrun...

    The 2025 "No List" from the travel guide Fodor's highlights 15 places struggling with tourism, including Venice, Barcelona, and Koh Samui.

  9. Addition-chain exponentiation - Wikipedia

    en.wikipedia.org/wiki/Addition-chain_exponentiation

    In mathematics and computer science, optimal addition-chain exponentiation is a method of exponentiation by a positive integer power that requires a minimal number of multiplications. Using the form of the shortest addition chain , with multiplication instead of addition, computes the desired exponent (instead of multiple) of the base .

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