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M is a finitely cogenerated module if and only if soc(M) is finitely generated and soc(M) is an essential submodule of M. Since the sum of semisimple modules is semisimple, the socle of a module could also be defined as the unique maximal semisimple submodule. From the definition of rad(R), it is easy to see that rad(R) annihilates soc(R).
Self-organized criticality (SOC) is a property of dynamical systems that have a critical point as an attractor.Their macroscopic behavior thus displays the spatial or temporal scale-invariance characteristic of the critical point of a phase transition, but without the need to tune control parameters to a precise value, because the system, effectively, tunes itself as it evolves towards ...
In computer science, separation of concerns (sometimes abbreviated as SoC) is a design principle for separating a computer program into distinct sections. Each section addresses a separate concern , a set of information that affects the code of a computer program.
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However, glossaries like this one are useful for looking up, comparing and reviewing large numbers of terms together. You can help enhance this page by adding new terms or writing definitions for existing ones. This glossary of calculus is a list of definitions about calculus, its sub-disciplines, and related fields.
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The mediaeval scala naturae as a staircase, implying the possibility of progress: [1] Ramon Llull's Ladder of Ascent and Descent of the Mind, 1305. A hierarchy (from Greek: ἱεραρχία, hierarkhia, 'rule of a high priest', from hierarkhes, 'president of sacred rites') is an arrangement of items (objects, names, values, categories, etc.) that are represented as being "above", "below", or ...
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