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  2. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    Exponentiation with negative exponents is defined by the following identity, which holds for any integer n and nonzero b: =. [1] Raising 0 to a negative exponent is undefined but, in some circumstances, it may be interpreted as infinity (). [22]

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a/b or ⁠ ⁠, where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include ⁠ 1 / 2 ⁠, − ⁠ 8 / 5 ⁠, ⁠ −8 / 5 ⁠, and ⁠ 8 / −5 ⁠

  4. Puiseux series - Wikipedia

    en.wikipedia.org/wiki/Puiseux_series

    If K is a field (such as the complex numbers), a Puiseux series with coefficients in K is an expression of the form = = + / where is a positive integer and is an integer. In other words, Puiseux series differ from Laurent series in that they allow for fractional exponents of the indeterminate, as long as these fractional exponents have bounded denominator (here n).

  5. Fractional calculus - Wikipedia

    en.wikipedia.org/wiki/Fractional_calculus

    Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number powers of ...

  6. Algebraic expression - Wikipedia

    en.wikipedia.org/wiki/Algebraic_expression

    An irrational fraction is one that contains the variable under a fractional exponent. [12] An example of an irrational fraction is / / /. The process of transforming an irrational fraction to a rational fraction is known as rationalization.

  7. Tetration - Wikipedia

    en.wikipedia.org/wiki/Tetration

    where () = [] denotes the fractional part of x and [] is the []-iterated function of the function . The proof is that the second through fourth conditions trivially imply that f is a linear function on [−1, 0].

  8. Significand - Wikipedia

    en.wikipedia.org/wiki/Significand

    The same value can also be represented in scientific notation with the significand 1.2345 as a fractional coefficient, and +2 as the exponent (and 10 as the base): 123.45 = 1.2345 × 10 +2. Schmid, however, called this representation with a significand ranging between 1.0 and 10 a modified normalized form. [12] [13]

  9. Algebraic fraction - Wikipedia

    en.wikipedia.org/wiki/Algebraic_fraction

    A simple fraction contains no fraction either in its numerator or its denominator. A fraction is in lowest terms if the only factor common to the numerator and the denominator is 1. An expression which is not in fractional form is an integral expression. An integral expression can always be written in fractional form by giving it the denominator 1.

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