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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.
Any textual language. DMS Software Reengineering Toolkit. Several code generation DSLs (attribute grammars, tree patterns, source-to-source rewrites) Active. DSLs represented as abstract syntax trees. DSL instance. Well-formed output language code fragments. Any programming language (proven for C, C++, Java, C#, PHP, COBOL) gSOAP.
The Mathieu group acts on the 2048 = 1+759+1288 points of the Golay code modulo the fixed space with 3 orbits, and on the 4096 = 1+24+276+2024+1771 points of the cocode with 5 orbits, and the subgroups fixing a non-trivial point of the code or cocode give 6 of the 9 classes of maximal subgroups. The 9 classes of maximal subgroups are as follows:
Mathematical definition. In mathematical terms, the extended binary Golay code G24 consists of a 12-dimensional linear subspace W of the space V = F24. 2 of 24-bit words such that any two distinct elements of W differ in at least 8 coordinates. W is called a linear code because it is a vector space. In all, W comprises 4096 = 212 elements.
Inverted pendulum. Balancing cart, a simple robotics system circa 1976. The cart contains a servo system that monitors the angle of the rod and moves the cart back and forth to keep it upright. An inverted pendulum is a pendulum that has its center of mass above its pivot point. It is unstable and falls over without additional help.
Van der Pol oscillator. In the study of dynamical systems, the van der Pol oscillator (named for Dutch physicist Balthasar van der Pol) is a non- conservative, oscillating system with non-linear damping. It evolves in time according to the second-order differential equation where x is the position coordinate —which is a function of the time t ...
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.
All the Mathieu groups can be constructed as groups of permutations on the binary Golay code. M 12 has index 2 in its automorphism group, and M 12:2 happens to be isomorphic to a subgroup of M 24. M 12 is the stabilizer of a dodecad, a codeword of 12 1's; M 12:2 stabilizes a partition into 2 complementary dodecads.