(algebra, ring theory) Given an integral domain R and its field of fractions K = Frac(R), an R-submodule I of K such that for some nonzero r∈R, rI ⊆ R.

plural of fractional ideal

(process engineering, chemistry) A process used to separate substances with different melting points.

(mathematical analysis, uncountable) The branch of mathematics that studies generalisations of calculus to allow noninteger (i.e., real or complex) powers of the differentiation operator D and the integration operator J; (countable) any one of said generalisations of calculus.

(mathematics) A fraction which reduces to the form 0/0 for a particular value of the variable which enters it, usually in consequence of the existence of a common factor in both terms of the fraction, which factor becomes 0 for this particular value of the variable.

(physics, chemistry) An apparatus for the separation of the volatile components of a liquid by means of fractional distillation, sometimes accompanied by selective adsorption

(mathematics) Any of several fractions to the sum of which a single fraction is equal.

A method of separating a mixture of liquids that have different boiling points

(mathematics) A vulgar fraction whose denominator is a power of two, or a rational number representable as such a fraction.

(cartography) The scale of a map expressed as a fraction. For example, 1/63,360 or 1:63,360 indicates a scale of one inch to the mile.