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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 ...
Mathematical Bridge, or officially Wooden Bridge, is an arch bridge in Cambridge, United Kingdom.The arrangement of timbers is a series of tangents that describe the arc of the bridge, with radial members to tie the tangents together and triangulate the structure, making it rigid and self-supporting.
There is no general consensus about the definition of mathematics or its epistemological status—that is, its place inside knowledge. A great many professional mathematicians take no interest in a definition of mathematics, or consider it undefinable. There is not even consensus on whether mathematics is an art or a science.
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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Social mobility is the movement of individuals, families, households or other categories of people within or between social strata in a society. [1] It is a change in social status relative to one's current social location within a given society. This movement occurs between layers or tiers in an open system of social stratification.
SOC Films, a film company founded by Pakistani filmmaker and journalist Sharmeen Obaid-Chinoy; Sirte Oil Company; Social overhead capital; South Oil Company; SOC Telemed, a telemedicine company backed by Warburg Pincus; SOC LLC, a security company owned by Day & Zimmermann; System and Organization Controls, a suite of reports produced during an ...