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If M is continuous and int_a^bM(x)h(x)dx=0 for all infinitely differentiable h(x), then M(x)=0 on the open interval (a,b).

The number q in a fraction p/q.

A proper fraction is a fraction p/q with p,q>0 such that p/q<1. A fraction p/q>1 is called an improper fraction.

An algorithm for computing an Egyptian fraction.

The number p in a fraction p/q, i.e., the dividend.

An archaic term for a continued fraction.

An algorithm for computing an Egyptian fraction.

An algorithm for computing an Egyptian fraction.

A complex fraction is a fraction in which numerator, denominator, or both are themselves fractions, for example (2/3)/(4/5).

A fraction p/q>=1. A fraction with p/q<1 is called a proper fraction. Therefore, the special cases 1/1, 2/2, 3/3, etc. are generally considered to be improper.