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modulus of elliptic integral

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  • Elliptic integral — In integral calculus, elliptic integrals originally arose in connection with the problem of giving the arc length of an ellipse. They were first studied by Giulio Fagnano and Leonhard Euler. Modern mathematics defines an elliptic integral as any… …   Wikipedia

  • Weierstrass's elliptic functions — In mathematics, Weierstrass s elliptic functions are elliptic functions that take a particularly simple form; they are named for Karl Weierstrass. This class of functions are also referred to as p functions and generally written using the symbol… …   Wikipedia

  • Jacobi's elliptic functions — In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions, and auxiliary theta functions, that have historical importance with also many features that show up important structure, and have direct relevance to some… …   Wikipedia

  • Cnoidal wave — US Army bombers flying over near periodic swell in shallow water, close to the Panama coast (1933). The sharp crests and very flat troughs are characteristic for cnoidal waves. In fluid dynamics, a cnoidal wave is a nonlinear and exact periodic… …   Wikipedia

  • Quarter period — In mathematics, the quarter periods K ( m ) and iK prime;( m ) are special functions that appear in the theory of elliptic functions. The quarter periods K and iK are given by:K(m)=int 0^{pi/2} frac{d heta}{sqrt {1 m sin^2 heta and :iK (m) = iK(1 …   Wikipedia

  • Riemann surface — For the Riemann surface of a subring of a field, see Zariski–Riemann space. Riemann surface for the function ƒ(z) = √z. The two horizontal axes represent the real and imaginary parts of z, while the vertical axis represents the real… …   Wikipedia

  • Unduloid — In geometry, an unduloid, or onduloid, is a surface with constant nonzero mean curvature. It is obtained as a surface of revolution of an elliptic catenary: that is, by rolling an ellipse along a fixed line, tracing the focus, and revolving the… …   Wikipedia

  • Kepler problem in general relativity — The Kepler problem in general relativity involves solving for the motion of two spherical bodies interacting with one another by gravitation, as described by the theory of general relativity.Typically, and in this article, one body is assumed to… …   Wikipedia

  • Sécurité matérielle des cartes à puce — La sécurité matérielle des cartes à puce et des autres microcontrôleurs est l un des éléments clefs de la sécurité des informations sensibles qu ils manipulent. La littérature scientifique a produit un grand nombre de publications visant à… …   Wikipédia en Français

  • Obstacle problem — The obstacle problem is a classic motivating example in the mathematical study of variational inequalities and free boundary problems. The problem is to find the equilibrium position of an elastic membrane whose boundary is held fixed, and which… …   Wikipedia

  • analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …   Universalium

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