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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
- Decomposition, spoilage of votes, see electoral fraud
Mathematics
- Manifold decomposition, decomposition of 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
- decomposition of group representations into irreducible representations
- Lie group decompositions
- 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
- JSJ decomposition, or toral decomposition, a decomposition of 3-manifolds
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