In mathematics

Mathematics

Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...

 and in physics

Physics

Physics is a natural science that involves the study of matter and its motion through spacetime, along with related concepts such as energy and force. More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.Physics is one of the oldest academic...

, separability may refer to properties of:

• Separable differential equation
  Separable differential equation
  In mathematics, a separable differential equation may refer to one of two related things, both of which are differential equations that can be attacked by a method of separation of variables....
  
  s
  • Separable ordinary differential equation, a class of equations that can be separated into a pair of integrals
  • Separable partial differential equation
    Separable partial differential equation
    A separable partial differential equation is one that can be broken into a set of separate equations of lower dimensionality by a method of separation of variables. This generally relies upon the problem having some special form or symmetry...
    
    , a class of equations that can be broken down into differential equations in fewer independent variables
• Separable extension
  Separable extension
  In modern algebra, an algebraic field extension E\supseteq F is a separable extension if and only if for every \alpha\in E, the minimal polynomial of \alpha over F is a separable polynomial . Otherwise, the extension is called inseparable...
  
   in field theory (mathematics)
• Separable polynomial
  Separable polynomial
  In mathematics, two slightly different notions of separable polynomial are used, by different authors.According to the most common one, a polynomial P over a given field K is separable if all its roots are distinct in an algebraic closure of K, that is the number of its distinct roots is equal to...
  
  s
• Separable sigma algebra
  Separable sigma algebra
  In mathematics, σ-algebras are usually studied in the context of measure theory. A separable σ-algebra is a sigma algebra that can be generated by a countable collection of sets...
  
  s in measure theory
• Separable spaces in topology
• Separable states
  Separable states
  In quantum mechanics, separable quantum states are states without quantum entanglement.- Separable pure states :For simplicity, the following assumes all relevant state spaces are finite dimensional...
  
   in quantum mechanics, states without quantum entanglement
• Separable goods in economics
• Linear separability in geometry
• separable filters in image processing, e.g. Gaussian blur
  Gaussian blur
  A Gaussian blur is the result of blurring an image by a Gaussian function. It is a widely used effect in graphics software, typically to reduce image noise and reduce detail...
  
  

In arbitration law, separability describes the principle that an arbitration clause is considered separate from the contract in which it is contained.

In chemical engineering

Chemical engineering

Chemical engineering is the branch of engineering that deals with physical science , and life sciences with mathematics and economics, to the process of converting raw materials or chemicals into more useful or valuable forms...

, separability refers to the efficacy with which particles can be separated in a separation process

Separation process

In chemistry and chemical engineering, a separation process, or simply a separation, is any mass transfer process used to convert a mixture of substances into two or more distinct product mixtures, at least one of which is enriched in one or more of the mixture's constituents. In some cases, a...

. This is correlated with the degree of difference between the physical or chemical properties of the species to be separated.