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  2. Partial fraction decomposition - Wikipedia

    en.wikipedia.org/wiki/Partial_fraction_decomposition

    In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.

  3. Open book decomposition - Wikipedia

    en.wikipedia.org/wiki/Open_book_decomposition

    Definition. An open book decomposition of a 3-dimensional manifold M is a pair (B, π) where . B is an oriented link in M, called the binding of the open book;; π: M \ B → S 1 is a fibration of the complement of B such that for each θ ∈ S 1, π −1 (θ) is the interior of a compact surface Σ ⊂ M whose boundary is B.

  4. Decomposition method - Wikipedia

    en.wikipedia.org/wiki/Decomposition_method

    Decomposition method is a generic term for solutions of various problems and design of algorithms in which the basic idea is to decompose the problem into subproblems. The term may specifically refer to: Decomposition method (constraint satisfaction) in constraint satisfaction

  5. Primary decomposition - Wikipedia

    en.wikipedia.org/wiki/Primary_decomposition

    The components of a primary decomposition (as well as of the algebraic set decomposition) corresponding to minimal primes are said isolated, and the others are said embedded. For the decomposition of algebraic varieties, only the minimal primes are interesting, but in intersection theory , and, more generally in scheme theory , the complete ...

  6. Decomposition (disambiguation) - Wikipedia

    en.wikipedia.org/wiki/Decomposition_(disambiguation)

    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

  7. Semiorthogonal decomposition - Wikipedia

    en.wikipedia.org/wiki/Semiorthogonal_decomposition

    In mathematics, a semiorthogonal decomposition is a way to divide a triangulated category into simpler pieces. One way to produce a semiorthogonal decomposition is from an exceptional collection , a special sequence of objects in a triangulated category.

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