algebraic set

  • 81Independent set — The (unexpectedly asymmetric) set of 9 blue vertices is a maximal independent set for this graph of 24 vertices.In graph theory, an independent set or stable set is a set of vertices in a graph no two of which are adjacent. That is, it is a set V …

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  • 82Solution set — In mathematics, a solution set is a set of possible values that a variable can take on in order to satisfy a given set of conditions (which may include equations and inequalities).Formally, for a collection of polynomials {f i} over some ring R,… …

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  • 83Covering set — In mathematics, a covering set for a sequence of integers refers to a set of prime numbers such that every term in the sequence is divisible by at least one member of the set. The term covering set is used only in conjunction with sequences… …

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  • 84Projective algebraic manifold — In mathematics, a projective algebraic manifold is a complex manifold which is a submanifold of a complex projective space which is determined by the zeros of a set of homogeneous polynomials.For example if for r in R and p r is the polynomial C2 …

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  • 85Definable set — In mathematical logic, a definable set is an n ary relation on the domain of a structure whose elements are precisely those elements satisfying some formula in the language of that structure. A set can be defined with or without parameters, which …

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  • 86algebra and algebraic structures — Generalized version of arithmetic that uses variables to stand for unspecified numbers. Its purpose is to solve algebraic equations or systems of equations. Examples of such solutions are the quadratic formula (for solving a quadratic equation)… …

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  • 87Kakeya set — deltoid. At every stage of its rotation, the needle is in contact with the deltoid at three points: two endpoints (blue) and one tangent point (black).The needle s midpoint (red) describes a circle with diameter equal to half the length of the… …

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  • 88Pointed set — In mathematics, a pointed set is a set X with a distinguished basepoint x 0 in X . Maps of pointed sets (based maps) are functions preserving basepoints, i.e. a map f : X rarr; Y such that f ( x 0) = y 0. This is usually denoted: f : ( X , x 0)… …

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  • 89Common Algebraic Specification Language — The Common Algebraic Specification Language (CASL) is a general purpose specification language based on first order logic with induction. Partial functions and subsorting are also supported. CASL has been designed by CoFI, the Common Framework… …

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  • 90Dendroidal set — In mathematics, a dendroidal set is a generalization of simplicial sets introduced by Moerdijk Weiss (2007). They have the same relation to (colored symmetric) operads, also called symmetric multicategories, that simplicial sets have to… …

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