Separability

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Separability may refer to:

Mathematics

• Separable algebra, a generalization to associative algebras of the notion of a separable field extension
• Separable differential equation, in which separation of variables is achieved by various means
• Separable extension, in field theory, an algebraic field extension
• Separable filter, a product of two or more simple filters in image processing
• Separable ordinary differential equation, a class of equations that can be separated into a pair of integrals
• Separable partial differential equation, a class of equations that can be broken down into differential equations in fewer independent variables
• Separable permutation, a permutation that can be obtained by direct sums and skew sums of the trivial permutation
• Separable polynomial, a polynomial whose number of distinct roots is equal to its degree
• Separable sigma algebra, a separable space in measure theory
• Separable space, a topological space that contains a countable, dense subset
• Linear separability, a geometric property of a pair of sets of points in Euclidean geometry
• Recursively inseparable sets, in computability theory, pairs of sets of natural numbers that cannot be "separated" with a recursive set

Other uses

• Separable states, in quantum mechanics, states without quantum entanglement
• Separation process, in chemistry, a method that converts a mixture of substances into two or more distinct product mixtures

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