Function   (translated from Portuguese)
Function The one concept function it is a generalization of the common ... x it is called argument of the function f e the object y that it ... is called x for f. Intuitivamente, a function is a way to associate with each ... argument x an only value of the function f(x). This can be made ...
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Exponential function   (translated from German)
Exponential function In that Mathematics becomes as Exponential function to the basis <math>a > 0math> one Funktion the form <math>x \mapsto a^x designation ( ...
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Hyperbolic function   (translated from German)
Hyperbolic function sinh , cosh and tanh csch , sech and ... Table of contents Definition over those Exponentialfunktion <math>\sinh(z):= \frac{e^z - e^{-z}}{2}math> <math>\cosh(z):= \frac{e^z + e^{-z}}{2}math> Range of values of the real ...
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Bessel function   (translated from Japanese)
Bessel function Bessel function(The vessel can it inhales,Bessel function) With, first Switzerland Daniel Bernoulli , afterwardsフリードリヒ ヴィルヘルム vesselIt was named by function . It shows below, the vessel differential equation ; Math> Y (x) < /math>Singular solutionSo it ...
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Continuous function   (translated from Chinese)
Continuous function (1) and (3) is not continuously; (2 ... is continuously. Continuous functionRefers to a such function in mathematics, namely the small change has ... an output change sudden jumping, then this function is called isNot continual(Or said hasDiscontinuity ... As an example, considered describes colored high function < which grows along with the time; Math> H (t) < /math> . This function is ...
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Hyperbolic function
Hyperbolic function In mathematics, the hyperbolic functions are analogs ... coth Hyperbolic sine, pronounced "sinch" or "shine": <math>\sinh(x) = \frac{e^x - e^{-x}}{2} = -i \sin(i x)math> Hyperbolic cosine, pronounced "cosh": <math>\cosh(x) = \frac{e^{x} + e^{-x}}{2} = \cos(i x) math> Hyperbolic tangent, pronounced "than" or "tanch": < ...
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Trigonometric function
Trigonometric function In mathematics, the trigonometric functions are functions ... by other means and derive the relations.) Function Abbreviation Relation Sine sin <math>\sin \theta = \cos \left(\frac{\pi}{2} - \theta \right) \,math> Cosine cos <math>\cos \theta = \sin \left(\frac{\pi}{ ...
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Exponential function
Exponential function The exponential function is one of the most important functions ... base of the natural logarithm. As a function of the real variable x, the graph ... horizontal asymptote to the graph). Its inverse function, the natural logarithm, ln(x), is defined ... especially in the sciences, the term exponential function is reserved for functions of the ...
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Bessel function
Bessel function In mathematics, Bessel functions, first defined by ... y(x) of Bessel's differential equation: <math>x^2 \frac{d^2 y}{dx ... dx} + (x^2 - \alpha^2)y = 0math> for an arbitrary real number α (the ... general power series for non-integer α): <math> J_\alpha(x) = \sum_{m=0}^\infty ... left({\frac{x}{2}}\right)}^{2m+\alpha} math> Here, $\backslash Gamma(z)$ is ...
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Gamma function
Gamma function The Gamma function along part of the real axis In mathematics, the Gamma function extends the factorial function to complex and non natural numbers (where it is defined). The factorial function of an integer n is written ...
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