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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    When the numerator and the denominator are both positive, the fraction is called proper if the numerator is less than the denominator, and improper otherwise. [11] The concept of an "improper fraction" is a late development, with the terminology deriving from the fact that "fraction" means "a piece", so a proper fraction must be less than 1. [10]

  3. Algebraic fraction - Wikipedia

    en.wikipedia.org/wiki/Algebraic_fraction

    Any improper rational fraction can be expressed as the sum of a polynomial (possibly constant) and a proper rational fraction. In the first example of an improper fraction one has + + + = (+) + +, where the second term is a proper rational fraction. The sum of two proper rational fractions is a proper rational fraction as well.

  4. Proper fraction - Wikipedia

    en.wikipedia.org/?title=Proper_fraction&redirect=no

    This page was last edited on 23 June 2020, at 13:35 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike License 4.0; additional terms may ...

  5. Partial fraction decomposition - Wikipedia

    en.wikipedia.org/wiki/Partial_fraction_decomposition

    Partial fraction decomposition. In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions ...

  6. Rational function - Wikipedia

    en.wikipedia.org/wiki/Rational_function

    Rational function. In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers; they may be taken in any field K.

  7. Proper transfer function - Wikipedia

    en.wikipedia.org/wiki/Proper_transfer_function

    Proper transfer function. In control theory, a proper transfer function is a transfer function in which the degree of the numerator does not exceed the degree of the denominator. A strictly proper transfer function is a transfer function where the degree of the numerator is less than the degree of the denominator.

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