enow.com Web Search

Search results

1. Results from the WOW.Com Content Network

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. Decomposition of a module - Wikipedia

   en.wikipedia.org/wiki/Decomposition_of_a_module

   A decomposition with local endomorphism rings [5] (cf. #Azumaya's theorem): a direct sum of modules whose endomorphism rings are local rings (a ring is local if for each element x, either x or 1 − x is a unit). Serial decomposition: a direct sum of uniserial modules (a module is uniserial if the lattice of submodules is a finite chain [6]).

4. 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 ...

5. Benders decomposition - Wikipedia

   en.wikipedia.org/wiki/Benders_decomposition

   Benders decomposition (or Benders' decomposition) is a technique in mathematical programming that allows the solution of very large linear programming problems that have a special block structure. This block structure often occurs in applications such as stochastic programming as the uncertainty is usually represented with scenarios.

6. Functional decomposition - Wikipedia

   en.wikipedia.org/wiki/Functional_decomposition

   This decomposition aids in analysis, because now the output of the system can be expressed in terms of the components of the input. If we let T { } {\displaystyle T\{\}} represent the effect of the system, then the output signal is T { f ( t ) } {\displaystyle T\{f(t)\}} , which can be expressed as:

7. Modular decomposition - Wikipedia

   en.wikipedia.org/wiki/Modular_decomposition

   The decomposition depicted in the figure below is this special decomposition for the given graph. A graph, its quotient where "bags" of vertices of the graph correspond to the children of the root of the modular decomposition tree, and its full modular decomposition tree: series nodes are labeled "s", parallel nodes "//" and prime nodes "p".

8. Lebesgue's decomposition theorem - Wikipedia

   en.wikipedia.org/wiki/Lebesgue's_decomposition...

   Lebesgue's decomposition theorem can be refined in a number of ways. First, as the Lebesgue-Radon-Nikodym theorem . That is, let ( Ω , Σ ) {\displaystyle (\Omega ,\Sigma )} be a measure space, μ {\displaystyle \mu } a σ-finite positive measure on Σ {\displaystyle \Sigma } and λ {\displaystyle \lambda } a complex measure on Σ ...

9. Boole's expansion theorem - Wikipedia

   en.wikipedia.org/wiki/Boole's_expansion_theorem

   Boole's expansion theorem, often referred to as the Shannon expansion or decomposition, is the identity: = + ′ ′, where is any Boolean function, is a variable, ′ is the complement of , and and ′ are with the argument set equal to and to respectively.