Proper convex function
Proper convex function In mathematics, a proper convex function is a convex function f ...
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Convex conjugate
Convex conjugate In mathematics, convex conjugation is a generalization of the Legendre ... transformation or Fenchel transformation. Definition For a function $f:\backslash mathbb\{R\}^n\backslash rightarrow\backslash mathbb\; ...\; on\; the\; extended\; real\; number\; line\; the$convex conjugate is defined by $f^\backslash star\; ...\; scalar\; product\; on\; R\; n\; .\; Examples\; The$convex conjugate of an affine function $...$
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Convex cone
Convex cone In linear algebra, a convex cone is a subset of a vector ... of a vector space V is a convex cone iff αx + βy belongs to C ... V (including the trivial subspace {0}) are convex cones by this definition. Other examples are ... and x is an element of some convex set subset X of of V. ...
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Function (mathematics)
Function (mathematics) Partial plot of a function f. Each real number x is associated ... f (x)= x³ - 9x. In mathematics, a function relates each of its inputs to exactly ... standard notation for the output of the function f with the input x is f ... The set of all inputs which a function accepts is called the domain of ...
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Function (mathematics) (Psychology wiki)
Function (mathematics) Home Support Help Site Support Orientation ... tests Stats course Partial plot of a function f. Each real number x is associated ... f (x)= x³ - 9x. In mathematics, a function relates each of its inputs to exactly ... standard notation for the output of the function f with the input x is f ... The set of all inputs which a function accepts is called the domain of ...
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Category:Convex analysis
Category:Convex analysis See convex analysis. Pages in category "Convex analysis" There are 9 pages in this ... of this category. C Choquet theory Closed convex function Convex cone C cont. Convex conjugate ...
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User talk:Oleg Alexandrov/Archive7
... if you want me to have a proper think about it. -- Jitse Niesen (talk) 11 ... with positive and negative parts of a function. Besides, I don't think it's ... December 2005 (UTC) Uppercase versus Lowercase for Proper Names The Wikipedia Manual of Style says ... you should not upcase things except for proper names. So clearly, it is correct to ... my experience, these phrases are in fact proper names, and in general, it is ...
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List of mathematics articles (P-R)
... complete -- P (complexity) -- P-group -- P-integrable function -- P-symmetry -- P-value -- P-vector -- P ... of spaces -- Paired comparison analysis -- Pairing -- Pairing function -- Pairwise independence -- Palatini action -- Paley–Wiener theorem -- Palindromic ... the reals -- Partial fractions in integration -- Partial function -- Partial isometry -- Partial least squares -- Partial order ... swarm optimization -- Particular values of the Gamma function -- Partisan game -- Partition function (number theory) -- Partition (mathematics) -- Partition of ...
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Glossary of Riemannian and metric geometry
... in Riemannian and metric geometry, such as convex function, convex set and others, do not have exactly ... _Y\le C|xy|_X Busemann function given a ray, γ : [0, ∞)→X, the Busemann function is defined by $B\_\backslash gamma(\; ...$
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Legendre transformation
... is to shift the dependence of a function from one independent variable to another by taking the difference between the original function and their product. They are used to ... while the internal energy is an explicit function of the extensive variables, entropy, volume (and ... H(S,P,\{N_i\})\, becomes a function of the entropy and the intensive quantity ... force f between the plates as a function of the variable separation x. (The ...
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