convex function

  • 21Plurisubharmonic function — In mathematics, plurisubharmonic functions form an important class of functions used in complex analysis. On a Kahler manifold,plurisubharmonic functions form a subset of the subharmonic functions. However, unlikesubharmonic functions (which are… …

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  • 22Logarithmically concave function — A function f : R^n o R^+ is logarithmically concave (or log concave for short), if its natural logarithm ln(f(x)), is concave. Note that we allow here concave functions to take value infty. Every concave function is log concave, however the… …

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  • 23Polyconvex function — In mathematics, the notion of polyconvexity is a generalization of the notion of convexity for functions defined on spaces of matrices. Let M m times; n ( K ) denote the space of all m times; n matrices over the field K , which may be either the… …

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  • 24Rosenbrock function — In mathematical optimization, the Rosenbrock function is a non convex function used as a test problem for optimization algorithms. It is also known as Rosenbrock s valley or Rosenbrock s banana function. This function is often used to test… …

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  • 25Gamma function — For the gamma function of ordinals, see Veblen function. The gamma function along part of the real axis In mathematics, the gamma function (represented by the capital Greek letter Γ) is an extension of the factorial function, with its… …

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  • 26Ultra exponential function — Articleissues OR=January 2008 other=This article uses nonstandard notations, which are confusing and superfluous.In mathematics the ultra exponential function is a special case of the iterated exponential function more commonly known as tetration …

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  • 27Local convex hull — (LoCoH) is a method for estimating the size the home range of an animal or a group of animals (e.g. a pack of wolves, a pride of lions, or herd of buffalos), and for constructing a utilization distribution. [Getz, W. M. and C. C. Wilmers, 2004. A …

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  • 28Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …

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  • 29Characteristic function (probability theory) — The characteristic function of a uniform U(–1,1) random variable. This function is real valued because it corresponds to a random variable that is symmetric around the origin; however in general case characteristic functions may be complex valued …

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  • 30Holomorphically convex hull — In mathematics, more precisely in complex analysis, the holomorphically convex hull of a given compact set in the n dimensional complex space C n is defined as follows. Let G subset {mathbb{C^n be a domain (an open and connected set), or… …

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