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  2. Module (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Module_(mathematics)

    A module is called flat if taking the tensor product of it with any exact sequence of R-modules preserves exactness. Torsionless A module is called torsionless if it embeds into its algebraic dual. Simple A simple module S is a module that is not {0} and whose only submodules are {0} and S. Simple modules are sometimes called irreducible. [5 ...

  3. Component diagram - Wikipedia

    en.wikipedia.org/wiki/Component_diagram

    Programmers and developers use the diagrams to formalize a roadmap for the implementation, allowing for better decision-making about task assignment or needed skill improvements. System administrators can use component diagrams to plan ahead, using the view of the logical software components and their relationships on the system. [2]

  4. Character module - Wikipedia

    en.wikipedia.org/wiki/Character_module

    The module is injective if and only if it is a direct summand of a character module of a free module. [ 2 ] If N {\displaystyle N} is a submodule of M {\displaystyle M} , then ( M / N ) ∗ {\displaystyle (M/N)^{*}} is isomorphic to the submodule of M ∗ {\displaystyle M^{*}} which consists of all elements which annihilate N {\displaystyle N} .

  5. Function analysis diagram - Wikipedia

    en.wikipedia.org/wiki/Function_analysis_diagram

    A function analysis diagram (FAD) is a method used in engineering design to model and visualize the functions and interactions between components of a system or product. It represents the functional relationships through a diagram consisting of blocks, which represent physical components, and labeled relations/arrows between them, which represent useful or harmful functional interactions.

  6. Mathematical structure - Wikipedia

    en.wikipedia.org/wiki/Mathematical_structure

    In mathematics, a structure on a set (or on some sets) refers to providing it (or them) with certain additional features (e.g. an operation, relation, metric, or topology). Τhe additional features are attached or related to the set (or to the sets), so as to provide it (or them) with some additional meaning or significance.

  7. Tangential and normal components - Wikipedia

    en.wikipedia.org/wiki/Tangential_and_normal...

    Illustration of tangential and normal components of a vector to a surface. In mathematics, given a vector at a point on a curve, that vector can be decomposed uniquely as a sum of two vectors, one tangent to the curve, called the tangential component of the vector, and another one perpendicular to the curve, called the normal component of the vector.

  8. Mathematical diagram - Wikipedia

    en.wikipedia.org/wiki/Mathematical_diagram

    In mathematics, and especially in category theory, a commutative diagram is a diagram of objects, also known as vertices, and morphisms, also known as arrows or edges, such that when selecting two objects any directed path through the diagram leads to the same result by composition.

  9. Modular decomposition - Wikipedia

    en.wikipedia.org/wiki/Modular_decomposition

    Contrary to the connected components, the modules of a graph are the same as the modules of its complement, and modules can be "nested": one module can be a proper subset of another. Note that the set of vertices of a graph is a module, as are its one-element subsets and the empty set; these are called the trivial modules. A graph may or may ...