function of complex variable

  • 21Variable Specific Impulse Magnetoplasma Rocket — Artist s impression of several VASIMR engines propelling a craft through space The Variable Specific Impulse Magnetoplasma Rocket (VASIMR) is an electro magnetic thruster for spacecraft propulsion. It uses radio waves to ionize and heat a… …

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  • 22Motor variable — A function of a motor variable is a function with arguments and values in the split complex number plane, much as functions of a complex variable involve ordinary complex numbers. The split complex numbers lie in the motor plane D, a term… …

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  • 23Wave function — Not to be confused with the related concept of the Wave equation Some trajectories of a harmonic oscillator (a ball attached to a spring) in classical mechanics (A B) and quantum mechanics (C H). In quantum mechanics (C H), the ball has a wave… …

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  • 24Gamma 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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  • 25Non-analytic smooth function — In mathematics, smooth functions (also called infinitely differentiable functions) and analytic functions are two very important types of functions. One can easily prove that any analytic function of a real argument is smooth. The converse is not …

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  • 26Zero (complex analysis) — In complex analysis, a zero of a holomorphic function f is a complex number a such that f(a) = 0. Contents 1 Multiplicity of a zero 2 Existence of zeros 3 Properties …

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  • 27Antiderivative (complex analysis) — In complex analysis, a branch of mathematics, the antiderivative, or primitive, of a complex valued function g is a function whose complex derivative is g. More precisely, given an open set U in the complex plane and a function the antiderivative …

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  • 28Holomorphic function — A rectangular grid (top) and its image under a holomorphic function f (bottom). In mathematics, holomorphic functions are the central objects of study in complex analysis. A holomorphic function is a complex valued function of one or more complex …

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  • 29Analytic function — This article is about both real and complex analytic functions. The article holomorphic function is solely about analytic functions in complex analysis. An analytic signal is a signal with no negative frequency components. In mathematics, an… …

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  • 30Riemann zeta function — ζ(s) in the complex plane. The color of a point s encodes the value of ζ(s): dark colors denote values close to zero and hue encodes the value s argument. The white spot at s = 1 is the pole of the zeta function; the black spots on the… …

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