open function

  • 111Moment-generating function — In probability theory and statistics, the moment generating function of any random variable is an alternative definition of its probability distribution. Thus, it provides the basis of an alternative route to analytical results compared with… …

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  • 112Implicit function — In mathematics, an implicit function is a generalization for the concept of a function in which the dependent variable has not been given explicitly in terms of the independent variable. To give a function f explicitly is to provide a… …

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  • 113Partition function (statistical mechanics) — For other uses, see Partition function (disambiguation). Partition function describe the statistical properties of a system in thermodynamic equilibrium. It is a function of temperature and other parameters, such as the volume enclosing a gas.… …

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  • 114Dirichlet eta function — For the modular form see Dedekind eta function. Dirichlet eta function η(s) in the complex plane. The color of a point s encodes the value of η(s). Strong colors denote values close to zero and hue encodes the value s argumen …

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  • 115Pfaffian function — Not to be confused with Pfaffian. In mathematics, the Pfaffian functions are a certain class of functions introduced by Askold Georgevich Khovanskiǐ in the 1970s. They are named after German mathematician Johann Pfaff. Contents 1 Basic definition …

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  • 116Bump function — In mathematics, a bump function is a function f: {Bbb R}^n o {Bbb R} on a Euclidean space {Bbb R}^n which is both smooth (in the sense of having continuous derivatives of all orders) and compactly supported. The space of all bump functions on… …

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  • 117Generalized function — In mathematics, generalized functions are objects generalizing the notion of functions. There is more than one recognised theory. Generalized functions are especially useful in making discontinuous functions more like smooth functions, and (going …

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  • 118Doubly-periodic function — In mathematics, a doubly periodic function is a function f defined at all points z in a plane and having two periods , which are linearly independent vectors u and v such that:f(z) = f(z + u) = f(z + v).,The doubly periodic function is thus a two …

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  • 119Main function — See also: Entry point In many programming languages, the main function is where a program starts execution. It is responsible for the high level organization of the program s functionality, and typically has access to the command arguments given… …

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  • 120Measurable function — In mathematics, particularly in measure theory, measurable functions are structure preserving functions between measurable spaces; as such, they form a natural context for the theory of integration. Specifically, a function between measurable… …

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