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Do Linear Algebra   (Mathematica How To)
These "How tos" give step-by-step instructions for common tasks related to linear algebra in Mathematica .
Numerical Differential Equation ...   (Numerical Differential Equation Analysis Package Tutorial)
[1] Butcher, J. C. The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods. John Wiley and Sons, 1987. [2] Iserles, A. A First ...
Eliminating Variables   (Mathematica Tutorial)
When you write down a set of simultaneous equations in Mathematica, you are specifying a collection of constraints between variables. When you use Solve, you are finding ...
Simplification   (Mathematica Tutorial)
Simplifying expressions. Mathematica does not automatically simplify an algebraic expression like this. Simplify performs the simplification.
GroebnerBasis   (Built-in Mathematica Symbol)
GroebnerBasis[{poly_1, poly_2, ...}, {x_1, x_2, ...}] gives a list of polynomials that form a Gröbner basis for the set of polynomials poly_i. GroebnerBasis[{poly_1, poly_2, ...
ContourPlot   (Built-in Mathematica Symbol)
ContourPlot[f, {x, x_min, x_max}, {y, y_min, y_max}] generates a contour plot of f as a function of x and y. ContourPlot[f == g, {x, x_min, x_max}, {y, y_min, y_max}] plots ...
Values for Symbols   (Mathematica Tutorial)
When Mathematica transforms an expression such as x+x into 2x, it is treating the variable x in a purely symbolic or formal fashion. In such cases, x is a symbol which can ...
Complex Numbers   (Mathematica Guide)
Mathematica has fundamental support for both explicit complex numbers and symbolic complex variables. All applicable mathematical functions support arbitrary-precision ...
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 ...
Number Recognition   (Mathematica Guide)
A core activity in exploratory experimental mathematics is recognition of numbers: going backward from a number to find out how it can be generated. Mathematica provides ...
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