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Biology and ecology

Decomposition Decomposition or rot is the process by which dead organic substances are broken down into simpler organic or inorganic matter such as carbon dioxide, water, simple sugars and mineral salts. The process is a part of the nutrient cycle and is e ...
is the process through which
organic matter Organic matter, organic material, or natural organic matter refers to the large source of carbon-based compounds found within natural and engineered, terrestrial, and aquatic environments. It is matter composed of organic compounds that have c ...
is broken down into simpler molecules. Decomposition, decompose may also refer to:


Chemistry

* Chemical decomposition or analysis, in chemistry, is the fragmentation of a chemical compound into elements or smaller compounds ** Thermal decomposition, a chemical decomposition caused by heat


Mathematics

* Doob decomposition of an integrable, discrete-time stochastic process * Doob–Meyer decomposition of a continuous-time sub- or supermartingale *
Hahn decomposition In mathematics, the Hahn decomposition theorem, named after the Austrian mathematician Hans Hahn, states that for any measurable space (X,\Sigma) and any signed measure \mu defined on the \sigma -algebra \Sigma , there exist two \Sigma -mea ...
of a measure space * Hahn–Jordan decomposition of a signed measure * Helmholtz decomposition, decomposition of a vector field *
Indecomposability (disambiguation) Indecomposability or indecomposable may refer to any of several subjects in mathematics: * Indecomposable module, in algebra * Indecomposable distribution, in probability * Indecomposable continuum, in topology * Indecomposability (intuitionistic ...
*
Indecomposable continuum In point-set topology, an indecomposable continuum is a continuum that is indecomposable, i.e. that cannot be expressed as the union of any two of its proper subcontinua. In 1910, L. E. J. Brouwer was the first to describe an indecomposable cont ...
*
Lebesgue's decomposition theorem In mathematics, more precisely in measure theory, Lebesgue's decomposition theorem states that for every two σ-finite signed measures \mu and \nu on a measurable space (\Omega,\Sigma), there exist two σ-finite signed measures \nu_0 and \nu_1 s ...
, decomposition of a measure *
Lie group decomposition {{unreferenced, date=September 2009 In mathematics, Lie group decompositions are used to analyse the structure of Lie groups and associated objects, by showing how they are built up out of subgroups. They are essential technical tools in the represe ...
, used to analyse the structure of Lie groups and associated objects * Manifold decomposition, decomposition of manifolds ** JSJ decomposition, or
toral decomposition In mathematics, the JSJ decomposition, also known as the toral decomposition, is a topological construct given by the following theorem: : Irreducible orientable closed (i.e., compact and without boundary) 3-manifolds have a unique (up to isotop ...
, a decomposition of 3-manifolds * Matrix decomposition, decomposition of matrices * Primary decomposition, decomposition of ideals into primary ideals *
Vector decomposition In mathematics, a set of vectors in a vector space is called a basis if every element of may be written in a unique way as a finite linear combination of elements of . The coefficients of this linear combination are referred to as components ...
, decomposition of vectors * Permutation decomposition, decomposition of a permutation into disjoint cycles


Physics

*
Spinodal decomposition Spinodal decomposition is a mechanism by which a single thermodynamic phase spontaneously separates into two phases (without nucleation). Decomposition occurs when there is no thermodynamic barrier to phase separation. As a result, phase separatio ...
, phase separation mechanism


Other uses

* Decomposition (computer science), or factoring; the process of breaking a complex problem down into easily understood and achievable parts * Semantic decomposition, used in natural language processing *'' Decompositions: Volume Number One'', the second studio album by American screamo band Circle Takes the Square * ''
Zersetzung ''Zersetzung'' (, German language, German for "decomposition" and "disruption") was a psychological warfare technique used by the Ministry for State Security (East Germany), Ministry for State Security (''Stasi'') to repress political opponent ...
'', or decomposition, a debilitative psychological warfare technique utilised by the Stasi intelligence agency in East Germany


See also

*
Component (disambiguation) Circuit Component may refer to: •Are devices that perform functions when they are connected in a circuit.   In engineering, science, and technology Generic systems *System components, an entity with discrete structure, such as an assemb ...
* Composition (disambiguation) *
Decay (disambiguation) Decay may refer to: Science and technology * Bit decay, in computing * Software decay, in computing * Distance decay, in geography * Decay time (fall time), in electronics Biology * Decomposition of organic matter * Tooth decay (dental caries) ...
* Decomposition method (disambiguation) * Food spoilage {{Disambiguation, math