• In graph theory, the modular decomposition is a decomposition of a graph into subsets of vertices called modules. A module is a generalization of a connected...
    22 KB (3,177 words) - 10:54, 2 April 2024
  • Module (redirect from Modular)
    module or modular in Wiktionary, the free dictionary. Module, modular and modularity may refer to the concept of modularity. They may also refer to: Modular design...
    4 KB (466 words) - 18:58, 25 April 2025
  • Modular decomposition can be used to compute a power graph by using the strong modules of the modular decomposition. Modules in modular decomposition...
    13 KB (1,580 words) - 05:38, 3 December 2023
  • by decomposition into smaller pieces, and all originating around the 1960s. While the historical usage of these terms has been inconsistent, "modular programming"...
    14 KB (1,789 words) - 09:14, 28 April 2025
  • Thumbnail for Modular design
    Modular design, or modularity in design, is a design principle that subdivides a system into smaller parts called modules (such as modular process skids)...
    20 KB (2,428 words) - 18:16, 20 January 2025
  • Thumbnail for Neighbourhood (graph theory)
    recursive decomposition into modules, its modular decomposition, which can be constructed from the graph in linear time; modular decomposition algorithms...
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  • to shortest paths between all pairs of the triple. 2.  Modular decomposition, a decomposition of a graph into subgraphs within which all vertices connect...
    109 KB (16,011 words) - 18:32, 30 April 2025
  • behavior-based robotics (BBR), a methodology for developing AI based on a modular decomposition of intelligence. It was made famous by Rodney Brooks: his subsumption...
    12 KB (1,531 words) - 15:25, 20 December 2024
  • Modularity is the degree to which a system's components may be separated and recombined, often with the benefit of flexibility and variety in use. The...
    40 KB (5,346 words) - 18:07, 10 February 2025
  • Modular representation theory is a branch of mathematics, and is the part of representation theory that studies linear representations of finite groups...
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  • Thumbnail for Strongly connected component
    consistently. Clique (graph theory) Connected component (graph theory) Modular decomposition Weak component Nuutila, Esko; Soisalon-Soininen, Eljas (1994), "On...
    13 KB (1,639 words) - 09:39, 25 March 2025
  • In mathematics, and in particular modular representation theory, a decomposition matrix is a matrix that results from writing the irreducible ordinary...
    1 KB (115 words) - 21:03, 14 April 2025
  • Thumbnail for Permutation graph
    (up to permutation symmetry) if it is prime with respect to the modular decomposition. If ρ = ( σ 1 , σ 2 , . . . , σ n ) {\displaystyle \rho =(\sigma...
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  • inference, hierarchical clustering, and quadtree decomposition are all examples of function decomposition. Many statistical inference methods can be thought...
    13 KB (1,746 words) - 10:45, 22 October 2024
  • maintain. Different types of decomposition are defined in computer sciences: In structured programming, algorithmic decomposition breaks a process down into...
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  • strong perfect graph theorem. A homogeneous pair is related to a modular decomposition of a graph. It is a partition of the graph into three subsets V1...
    15 KB (1,769 words) - 23:06, 16 October 2024
  • Thumbnail for Cograph
    cotree representation constructed, using modular decomposition, partition refinement, LexBFS , or split decomposition. Once a cotree representation has been...
    22 KB (2,689 words) - 18:27, 19 April 2025
  • Thumbnail for Trapezoid graph
    Springer-Verlag, New York, 2005 R. McConnell and J. Spinrad, Linear-time modular decomposition and efficient transitive orientation of undirected graphs, Proc...
    10 KB (1,528 words) - 07:40, 27 June 2022
  • Modularity of mind is the notion that a mind may, at least in part, be composed of innate neural structures or mental modules which have distinct, established...
    24 KB (3,035 words) - 05:56, 7 March 2024
  • Thumbnail for Independent set (graph theory)
    a maximum weight independent set can be found in linear time. Modular decomposition is a good tool for solving the maximum weight independent set problem;...
    30 KB (3,561 words) - 23:07, 16 October 2024
  • Thumbnail for Pyrolysis
    involving the separation of covalent bonds in organic matter by thermal decomposition within an inert environment without oxygen. The word pyrolysis is coined...
    81 KB (8,569 words) - 11:31, 26 March 2025
  • Tomita–Takesaki theory is a method for constructing modular automorphisms of von Neumann algebras from the polar decomposition of a certain involution. It is essential...
    15 KB (2,177 words) - 23:58, 7 March 2025
  • Thumbnail for Representation theory
    replacing the modular group PSL2 (R) and a chosen congruence subgroup by a semisimple Lie group G and a discrete subgroup Γ. Just as modular forms can be...
    56 KB (7,269 words) - 06:32, 7 April 2025
  • model may indeed be analyzed at this top level of modular decomposition, we need to further decompose basal ganglia, BG, as shown in Figure 3(c) if we...
    38 KB (5,049 words) - 17:39, 25 April 2025
  • problems in computer science In mathematics, integer factorization is the decomposition of a positive integer into a product of integers. Every positive integer...
    25 KB (2,983 words) - 11:39, 19 April 2025
  • Thumbnail for Cell-based architecture
    promotes modularity, agility, and efficient collaboration across development processes. In cell-based architecture, applications are decomposed into multiple...
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  • Thumbnail for Water splitting
    radiation has not been commercialized. Electrolysis of water is the decomposition of water (H2O) into oxygen (O2) and hydrogen (H2): Production of hydrogen...
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  • pounds avoirdupois QR decomposition, a decomposition of a matrix QR algorithm, an eigenvalue algorithm to perform QR decomposition Quadratic reciprocity...
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  • methanol); and to produce hydrogen and oxygen by decomposing water thermochemically. The PBMR is modular in that only small to mid-sized units will be designed...
    14 KB (1,386 words) - 21:01, 12 February 2025
  • (like performing adaptive load shedding). Decomposing services into a set of stages also enables modularity and code reuse, as well as the development...
    3 KB (329 words) - 06:46, 3 April 2024