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)