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hyperbolic integral

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  • Hyperbolic function — A ray through the origin intercepts the hyperbola in the point , where is twice the area between the ray and the …   Wikipedia

  • Trigonometric integral — Si(x) (blue) and Ci(x) (green) plotted on the same plot. In mathematics, the trigonometric integrals are a family of integrals which involve trigonometric functions. A number of the basic trigonometric integrals are discussed at the list of… …   Wikipedia

  • Differentiation under the integral sign — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

  • List of integrals of arc hyperbolic functions — The following is a list of integrals (antiderivative functions) of inverse hyperbolic functions. For a complete list of integral functions, see lists of integrals.: intmathrm{arsinh},frac{x}{c},dx = x,mathrm{arsinh},frac{x}{c} sqrt{x^2+c^2}:… …   Wikipedia

  • List of integrals of hyperbolic functions — The following is a list of integrals (antiderivative functions) of hyperbolic functions. For a complete list of Integral functions, see list of integrals.In all formulas the constant a is assumed to be nonzero, and C denotes the constant of… …   Wikipedia

  • Quadratic form — In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example, is a quadratic form in the variables x and y. Quadratic forms occupy a central place in various branches of mathematics, including… …   Wikipedia

  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

  • Partial differential equation — A visualisation of a solution to the heat equation on a two dimensional plane In mathematics, partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several… …   Wikipedia

  • mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

  • List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… …   Wikipedia

  • Matsubara frequency — In thermal quantum field theory, the Matsubara frequency summation is the summation over discrete imaginary frequency. It takes the following form , where the imaginary frequency ω is usually taken from either of the following two sets (with ) …   Wikipedia

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