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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 piece , so a proper fraction must be less than 1. [ 10 ]

  3. Matrix calculus - Wikipedia

    en.wikipedia.org/wiki/Matrix_calculus

    If the numerator y is of size m and the denominator x of size n, then the result can be laid out as either an m×n matrix or n×m matrix, i.e. the m elements of y laid out in rows and the n elements of x laid out in columns, or vice versa. This leads to the following possibilities: Numerator layout, i.e. lay out according to y and x T (i.e ...

  4. Lowest common denominator - Wikipedia

    en.wikipedia.org/wiki/Lowest_common_denominator

    It is usually easiest to add, subtract, or compare fractions when each is expressed with the same denominator, called a "common denominator". For example, the numerators of fractions with common denominators can simply be added, such that + = and that <, since each fraction has the common denominator 12.

  5. Division (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Division_(mathematics)

    A way to express division all on one line is to write the dividend (or numerator), then a slash, then the divisor (or denominator), as follows: / This is the usual way of specifying division in most computer programming languages, since it can easily be typed as a simple sequence of ASCII characters.

  6. Partial fraction decomposition - Wikipedia

    en.wikipedia.org/wiki/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 with a simpler denominator.

  7. Proper transfer function - Wikipedia

    en.wikipedia.org/wiki/Proper_transfer_function

    A strictly proper transfer function is a transfer function where the degree of the numerator is less than the degree of the denominator. The difference between the degree of the denominator (number of poles) and degree of the numerator (number of zeros) is the relative degree of the transfer function.

  8. Unit fraction - Wikipedia

    en.wikipedia.org/wiki/Unit_fraction

    Slices of approximately 1/8 of a pizza. A unit fraction is a positive fraction with one as its numerator, 1/ n.It is the multiplicative inverse (reciprocal) of the denominator of the fraction, which must be a positive natural number.

  9. Number - Wikipedia

    en.wikipedia.org/wiki/Number

    A real number can be expressed by a finite number of decimal digits only if it is rational and its fractional part has a denominator whose prime factors are 2 or 5 or both, because these are the prime factors of 10, the base of the decimal system. Thus, for example, one half is 0.5, one fifth is 0.2, one-tenth is 0.1, and one fiftieth is 0.02.