# Decomposition (disambiguation)

Appearance

## Biology and ecology

[edit]**Decomposition**is the process through which organic matter is broken down into simpler molecules.- Biodegradation

**Decomposition**, **decompose** may also refer to:

## Chemistry

[edit]- 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

## Mathematics

[edit]- 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
- 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
- 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

[edit]- Spinodal decomposition, phase separation mechanism

## Other uses

[edit]- 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