Decomposition (disambiguation)

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)
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