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Submodular set function. In mathematics, a submodular set function (also known as a submodular function) is a set function that, informally, describes the relationship between a set of inputs and an output, where adding more of one input has a decreasing additional benefit ( diminishing returns ). The natural diminishing returns property which ...
Formally, in Euclidean space, the wave front set of ƒ is defined as the complement of the set of all pairs ( x0, v) such that there exists a test function with ( x0 ) ≠ 0 and an open cone Γ containing v such that the estimate. holds for all positive integers N. Here denotes the Fourier transform. Observe that the wavefront set is conical in ...
In mathematics, a modular form is a (complex) analytic function on the upper half-plane, , that satisfies: a kind of functional equation with respect to the group action of the modular group, and a growth condition. The theory of modular forms therefore belongs to complex analysis. The main importance of the theory is its connections with ...
The Staunton chess set is the standard style of chess pieces, [ 1][ 2] recommended for use in competition since 2022 by FIDE, the international chess governing body. [ 3][ 4] The journalist Nathaniel Cooke is credited with the design on the patent, and they are named after the leading English chess master Howard Staunton, who endorsed it; [ 2 ...
The nine blue vertices form a maximum independent set for the Generalized Petersen graph GP (12,4). In graph theory, an independent set, stable set, coclique or anticlique is a set of vertices in a graph, no two of which are adjacent. That is, it is a set of vertices such that for every two vertices in , there is no edge connecting the two.
A set of polygons in an Euler diagram This set equals the one depicted above since both have the very same elements.. In mathematics, a set is a collection of different [1] things; [2] [3] [4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other ...
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