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In mathematics, a module is a generalization of the notion of vector space in which the field of scalars is replaced by a (not necessarily commutative) ring.The concept of a module also generalizes the notion of an abelian group, since the abelian groups are exactly the modules over the ring of integers.
Module, in connection with modular decomposition of a graph, a kind of generalisation of graph components; Modularity (networks), a benefit function that measures the quality of a division of a Complex network into communities; Protein module or protein domain, a section of a protein with its own distinct conformation, often conserved in evolution
In mathematics, a free module is a module that has a basis, that is, a generating set that is linearly independent. Every vector space is a free module, [ 1 ] but, if the ring of the coefficients is not a division ring (not a field in the commutative case), then there exist non-free modules.
In software engineering, the module pattern is a design pattern used to implement the concept of software modules, defined by modular programming, ...
In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, called the modulus of the operation.. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor.
A power module or power electronic module provides the physical containment for several power components, usually power semiconductor devices. These power semiconductors (so-called dies ) are typically soldered or sintered on a power electronic substrate that carries the power semiconductors, provides electrical and thermal contact and ...
A module is a generalization of a connected component of a graph. Unlike connected components, however, one module can be a proper subset of another. Modules therefore lead to a recursive (hierarchical) decomposition of the graph, instead of just a partition.
This abelian group is a Klein four-group-module, where the group acts by reflection in each of the coordinate directions (here depicted by red and blue arrows intersecting at the identity element). In mathematics, given a group G, a G-module is an abelian group M on which G acts compatibly with the abelian group structure on M.