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The mathematical golden rule states that, for any fraction, both numerator and denominator may be multiplied by the same number without changing the fraction's value.

A fraction a/b written in lowest terms, i.e., by dividing numerator and denominator through by their greatest common divisor (a,b). For example, 2/3 is the reduced fraction ...

The partial differential equation u_(xy)+(N(u_x+u_y))/(x+y)=0.

A rational number expressed in the form a/b (in-line notation) or a/b (traditional "display" notation), where a is called the numerator and b is called the denominator. When ...

An algorithm for computing an Egyptian fraction, called the Farey sequence method by Bleicher (1972).

Given a Farey sequence with consecutive terms h/k and h^'/k^', then the mediant is defined as the reduced form of the fraction (h+h^')/(k+k^').

The partial differential equation u_t=u_(xxx)u^3.

The partial differential equation u_t=del ·(u^mdel u).

An algorithm for computing an Egyptian fraction (Stewart 1992).

A reducible fraction is a fraction p/q such that GCD(p,q)>1, i.e., p/q can be written in reduced form. A fraction that is not reducible is said to be irreducible. For ...