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Functions of Complex Variables   (Mathematica Guide)
Mathematica transparently works with complex variables throughout, not only numerically, but also symbolically—often relying on original results to handle intricate branch ...
Basic Image Manipulation   (Mathematica Guide)
Mathematica's symbolic architecture makes it possible to treat images just like any other form of expression—applying functions to them, displaying and inputting them in ...
Inequalities   (Mathematica Guide)
Mathematica uses a large number of original algorithms to provide automatic systemwide support for inequalities and inequality constraints. Whereas equations can often be ...
Diophantine Equations   (Mathematica Guide)
Although Diophantine equations provide classic examples of undecidability, Mathematica in practice succeeds in solving a remarkably wide range of such equations—automatically ...
Polynomial Equations   (Mathematica Guide)
Packed into functions like Solve and Reduce are a wealth of sophisticated algorithms, many created specifically for Mathematica. Routinely handling both dense and sparse ...
Manipulating Equations   (Mathematica Guide)
Mathematica's symbolic architecture allows it to represent any equation as a symbolic expression that can be manipulated using any of Mathematica's powerful collection of ...
Polynomial Systems   (Mathematica Guide)
Mathematica's handling of polynomial systems is a tour de force of algebraic computation. Building on mathematical results spanning more than a century, Mathematica for the ...
Matrix Decompositions   (Mathematica Guide)
 
Computational Geometry   (Mathematica Guide)
Mathematica's strengths in algebraic computation and graphics as well as numerics combine to bring unprecedented flexibility and power to geometric computation. Making ...
Formula Manipulation   (Mathematica Guide)
Mathematica handles formulas of all types, from polynomials with millions of terms to complex combinations of higher mathematical functions. It provides powerful general ...
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