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Algebraic algebra: An algebra with associative powers (in particular, an associative algebra) over a field in which all elements are algebraic: an element $a$ of the algebra $A$ is called algebraic over the field $F$ if the subalgebra $F$ generated by $a ... (Mathematics) [100%] 2023-10-13
Algebraic system: A set with operations and relations defined on it. An algebraic system is one of the basic mathematical concepts and its general theory has been developed in depth. (Mathematics) [97%] 2023-10-17
Lie algebra, algebraic: The Lie algebra of an algebraic subgroup (see Algebraic group) of the general linear group of all automorphisms of a finite-dimensional vector space $V$ over a field $k$. If $\mathfrak g$ is an arbitrary subalgebra of the Lie algebra ... (Mathematics) [81%] 2023-10-17
Free algebraic system: A free object in a certain class of algebraic systems. Let $ \mathfrak K $ be a non-empty class of algebraic systems (see Algebraic systems, class of). (Mathematics) [79%] 2023-12-30
Algebraic systems, variety of: A class of algebraic systems (cf. Algebraic systems, class of) of a fixed signature $ \Omega $, axiomatizable by identities, i.e. (Mathematics) [74%] 2023-12-31
System of systems: System of systems is a collection of task-oriented or dedicated systems that pool their resources and capabilities together to create a new, more complex system which offers more functionality and performance than simply the sum of the constituent systems ... [70%] 2023-11-11 [Systems engineering] [Systems theory]...
System of systems: System of systems is a collection of task-oriented or dedicated systems that pool their resources and capabilities together to create a new, more complex system which offers more functionality and performance than simply the sum of the constituent systems ... [70%] 2024-01-03 [Systems engineering] [Systems theory]...
System of systems: System of systems is a collection of task-oriented or dedicated systems that pool their resources and capabilities together to create a new, more complex system which offers more functionality and performance than simply the sum of the constituent systems ... [70%] 2024-03-06 [Systems engineering] [Systems theory]...
Regular semi-algebraic system: In computer algebra, a regular semi-algebraic system is a particular kind of triangular system of multivariate polynomials over a real closed field. Regular chains and triangular decompositions are fundamental and well-developed tools for describing the complex solutions of ... [68%] 2024-05-05 [Equations] [Algebra]...
Algebraic systems, quasi-variety of: A class of algebraic systems ( $ \Omega $- systems) axiomatized by special formulas of a first-order logical language, called quasi-identities or conditional identities, of the form $$ ( \forall x _ {1} ) \dots ( \forall x _ {s} ) $$ $$ [ P _ {1} ( f _ ... (Mathematics) [66%] 2023-12-31
Computer algebra system: A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with the ability to manipulate mathematical expressions in a way similar to the traditional manual computations of mathematicians and scientists. The development of the computer algebra ... (Software) [65%] 2023-11-21 [Computer algebra systems]
Cambridge Algebra System: Cambridge Algebra System (CAMAL) is a computer algebra system written in Cambridge University by David Barton, Steve Bourne, and John Fitch. It was initially used for computations in celestial mechanics and general relativity. (Computer algebra system) [65%] 2024-06-08 [Computer algebra systems]
Algebraic system, automorphism of an: An isomorphic mapping of an algebraic system onto itself. An automorphism of an $ \Omega $- system $ \mathbf A = \langle A, \Omega \rangle $ is a one-to-one mapping $ \phi $ of the set $ A $ onto itself having the following properties: $$ \tag{1 ... (Mathematics) [61%] 2023-10-17
Differential-algebraic system of equations: In electrical engineering, a differential-algebraic system of equations (DAE) is a system of equations that either contains differential equations and algebraic equations, or is equivalent to such a system. In mathematics these are examples of differential algebraic varieties and ... [61%] 2023-12-30 [Differential equations] [Numerical analysis]...
System of systems engineering: System of systems engineering (SoSE) is a set of developing processes, tools, and methods for designing, re-designing and deploying solutions to system-of-systems challenges. System of Systems Engineering (SoSE) methodology is heavily used in U.S. [60%] 2024-01-07 [Systems engineering] [Complex systems theory]...
System of systems engineering: System of systems engineering (SoSE) is a set of developing processes, tools, and methods for designing, re-designing and deploying solutions to system-of-systems challenges. System of Systems Engineering (SoSE) methodology is heavily used in U.S. [60%] 2023-10-30 [Systems engineering] [Complex systems theory]...
Systemic venous system: Articles Most recent articles on Systemic venous system Most cited articles on Systemic venous system Review articles on Systemic venous system Articles on Systemic venous system in N Eng J Med, Lancet, BMJ Media Powerpoint slides on Systemic venous system ... [59%] 2023-12-14 [Veins]
Algebra: Algebra is a branch of mathematics. The term is used in combinations such as homological algebra, commutative algebra, linear algebra, multilinear algebra, and topological algebra. (Mathematics) [58%] 2023-10-17 [Algebra]
Algebra: Algebra (from ar الجبر (al-jabr) 'reunion of broken parts, bonesetting') is the study of variables and the rules for manipulating these variables in formulas; it is a unifying thread of almost all of mathematics. Elementary algebra deals with the manipulation ... (Area of mathematics) [58%] 2023-10-13 [Algebra]