Decomposition (disambiguation)

Decomposition may refer to the following:

• Decomposition, biological process through which organic material is reduced
• Chemical decomposition or analysis, in chemistry, is the fragmentation of a chemical compound into elements or smaller compounds
  • Thermal decomposition
• Decomposition, spoilage of votes, see electoral fraud

Mathematics

• Manifold decomposition, decomposition of manifolds
  • JSJ decomposition, or toral decomposition, a decomposition of 3-manifolds
• Prime decomposition of integers, see fundamental theorem of arithmetic (for the mathematics) or integer factorization (for applications)
• Prime decomposition in a commutative ring, see unique factorization domain
• Matrix decomposition, decomposition of matrices
• Vector decomposition, decomposition of vectors
• Helmholtz decomposition, decomposition of a vector field
• Lebesgue's decomposition theorem, decomposition of a measure
• Hahn decomposition of a measure space
• Hahn–Jordan decomposition of a signed measure
• Doob decomposition of a discrete-time sub- or supermartingale
• Doob–Meyer decomposition of a continuous-time sub- or supermartingale
• Decomposition of a semimartingale in a local martingale and a finite-variation process
• Kunita–Watanabe or Galtchouk–Kunita–Watanabe decomposition in stochastic analysis
• Föllmer–Schweizer decomposition in mathematical finance
• decomposition of group representations into irreducible representations
• Lie group decompositions

Computer science

• Decomposition (computer science), or factoring, in computer science, refers to the process of breaking a complex problem down into easily-understood and achievable parts
• Decomposition, in computer graphics, means spatial decomposition

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