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2. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   In general, a common fraction is said to be a proper fraction if the absolute value of the fraction is strictly less than one—that is, if the fraction is greater than −1 and less than 1. [ 14 ] [ 15 ] It is said to be an improper fraction , or sometimes top-heavy fraction , [ 16 ] if the absolute value of the fraction is greater than or ...

3. 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. [1]

4. 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.

5. 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.

6. Irreducible fraction - Wikipedia

   en.wikipedia.org/wiki/Irreducible_fraction

   For example, ⁠ 1 / 4 ⁠, ⁠ 5 / 6 ⁠, and ⁠ −101 / 100 ⁠ are all irreducible fractions. On the other hand, ⁠ 2 / 4 ⁠ is reducible since it is equal in value to ⁠ 1 / 2 ⁠, and the numerator of ⁠ 1 / 2 ⁠ is less than the numerator of ⁠ 2 / 4 ⁠. A fraction that is reducible can be reduced by dividing both the numerator ...

7. Unit fraction - Wikipedia

   en.wikipedia.org/wiki/Unit_fraction

   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, ...