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RiccatiSolve   (Built-in Mathematica Symbol)
RiccatiSolve[{a, b}, {q, r}] gives the matrix x that is the stabilizing solution of the continuous algebraic Riccati equation ConjugateTranspose[a].x + x.a - ...
Precollege Education   (Mathematica Guide)
Mathematica is widely used throughout the world for precollege education, in mathematics and many other fields. This page lists a few Mathematica functions used particularly ...
Sparse Arrays   (Mathematica Guide)
Mathematica has special sparse-array technology for efficiently handling arrays with literally astronomical numbers of elements when only a small fraction of the elements are ...
SolveAlways   (Built-in Mathematica Symbol)
SolveAlways[eqns, vars] gives the values of parameters that make the equations eqns valid for all values of the variables vars.
Mathieu and Related Functions   (Mathematica Guide)
Important for elliptical shapes and periodic potentials, Mathematica achieves a new level of implementation for Mathieu-related functions, supporting arbitrary-precision ...
Basic Plotting   (Mathematica Tutorial)
Basic plotting functions. This plots a graph of sin(x) as a function of x from 0 to 2π. You can plot functions that have singularities. Mathematica will try to choose ...
Higher-Order Euler and Legendre ...   (Mathematica Tutorial)
An Euler equation is an ODE of the form The following is an example of an Euler equation. The Legendre linear equation is a generalization of the Euler equation. It has the ...
Polynomial Algebra   (Mathematica Guide)
Polynomial algorithms are at the core of classical "computer algebra". Incorporating methods that span from antiquity to the latest cutting-edge research at Wolfram Research, ...
Plot the Results of NDSolve   (Mathematica How To)
NDSolve solves a differential equation numerically. It returns solutions in a form that can be readily used in many different ways. One typical use would be to produce a plot ...
Calculus   (Mathematica Guide)
In calculus even more than other areas, Mathematica packs centuries of mathematical development into a small number of exceptionally powerful functions. Continually enhanced ...
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