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Mathieu function. In mathematics, Mathieu functions, sometimes called angular Mathieu functions, are solutions of Mathieu's differential equation. where a, q are real -valued parameters. Since we may add π/2 to x to change the sign of q, it is a usual convention to set q ≥ 0.
β = 0 , {\displaystyle \beta =0,} the Duffing equation describes a damped and driven simple harmonic oscillator, γ {\displaystyle \gamma } is the amplitude of the periodic driving force; if. γ = 0 {\displaystyle \gamma =0} the system is without a driving force, and. ω {\displaystyle \omega } is the angular frequency of the periodic driving ...
Poincaré–Lindstedt method. In perturbation theory, the Poincaré–Lindstedt method or Lindstedt–Poincaré method is a technique for uniformly approximating periodic solutions to ordinary differential equations, when regular perturbation approaches fail. The method removes secular terms —terms growing without bound—arising in the ...
Mathieu wavelet. The Mathieu equation is a linear second-order differential equation with periodic coefficients. The French mathematician, E. Léonard Mathieu, first introduced this family of differential equations, nowadays termed Mathieu equations, in his “Memoir on vibrations of an elliptic membrane” in 1868.
Website. angular.dev. Angular (also referred to as " Angular 2+ ") [4] is a TypeScript -based free and open-source single-page web application framework. It is developed by Google and by a community of individuals and corporations. Angular is a complete rewrite from the same team that built AngularJS.
The stress–energy tensor involves the use of superscripted variables (not exponents; see tensor index notation and Einstein summation notation).If Cartesian coordinates in SI units are used, then the components of the position four-vector x are given by: (x 0, x 1, x 2, x 3) = (t, x, y, z), where t is time in seconds, and x, y, and z are distances in meters.
Wannier function. Wannier functions of triple- and single-bonded nitrogen dimers in palladium nitride. The Wannier functions are a complete set of orthogonal functions used in solid-state physics. They were introduced by Gregory Wannier in 1937. [ 1 ][ 2 ] Wannier functions are the localized molecular orbitals of crystalline systems.
Digital ion trap. A digital ion trap mass spectrometer. The digital ion trap (DIT) is an quadrupole ion trap driven by digital signals, typically in a rectangular waveform, generated by switching rapidly between discrete DC voltage levels. The digital ion trap has been mainly developed as a mass analyzer.