Biology and ecology Decomposition is the process through which organic matter is broken down into simpler molecules. Biodegradation

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, chemical decomposition caused by heat

Econometrics Blinder–Oaxaca decomposition, a statistical method that explains the difference in the means of a dependent variable between two groups.

Mathematics Decomposition of time series, a statistical task that deconstructs a time series into several components Doob decomposition theorem of an integrable, discrete-time stochastic process Doob–Meyer decomposition theorem of a continuous-time sub- or supermartingale Fourier decomposition, re-expressing a given periodic function as the sum of a series of trigonometric functions Graph decomposition, partition of the edge set of a graph Hahn decomposition theorem of a measure space Jordan decomposition theorem of a signed measure Helmholtz decomposition, decomposition of a vector field Indecomposable continuum Lebesgue's decomposition theorem, decomposition of a measure Lie group decomposition, used to analyse the structure of Lie groups and associated objects Manifold decomposition, decomposition of manifolds JSJ decomposition, or toral decomposition, a decomposition of 3-manifolds Matrix decomposition, a factorization of a matrix into a product of matrices LU decomposition, a type of matrix factorization Permutation decomposition, decomposition of a permutation into disjoint cycles Primary decomposition, decomposition of ideals into primary ideals Tree decomposition, homomorphism of a graph to a tree Vector decomposition, decomposition of vectors into components or coordinates of basis vectors Wavelet decomposition, re-expressing a given function as the sum of a series of wavelet functions

Physics Spinodal decomposition, phase separation mechanism

Other uses Decomposition (computer science), or factoring; the process of breaking a complex problem down into easily understood and achievable parts Decomposition method (disambiguation), solutions of various problems and design of algorithms Functional decomposition, expressing a function as the composition of two functions Semantic decomposition (natural language processing) Decompositions: Volume Number One, the second studio album by American screamo band Circle Takes the Square Zersetzung, or decomposition, a debilitative psychological warfare technique utilised by the Stasi intelligence agency in East Germany

See also Breakdown (disambiguation) Component (disambiguation) Composite (disambiguation) Composition (disambiguation) Compound (disambiguation) Decay (disambiguation) Food spoilage Indecomposability (disambiguation)