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The Limits of Mathematica   (Mathematica Tutorial)
In just one Mathematica command, you can easily specify a calculation that is far too complicated for any computer to do. For example, you could ask for ...
RSolve   (Built-in Mathematica Symbol)
RSolve[eqn, a[n], n] solves a recurrence equation for a[n]. RSolve[{eqn_1, eqn_2, ...}, {a_1[n], a_2[n], ...}, n] solves a system of recurrence equations. RSolve[eqn, a[n_1, ...
Inequalities   (Mathematica Tutorial)
Just as the equation x^2+3x==2 asserts that x^2+3x is equal to 2, so also the inequality x^2+3x>2 asserts that x^2+3x is greater than 2. In Mathematica, Reduce works not only ...
Matrix-Based Minimization   (Mathematica Guide)
 
Optimization   (Mathematica Guide)
Integrated into Mathematica is a full range of state-of-the-art local and global optimization techniques, both numeric and symbolic, including constrained nonlinear ...
BSplineSurface   (Built-in Mathematica Symbol)
BSplineSurface[array] is a graphics primitive that represents a non-uniform rational B-spline surface defined by an array of x, y, z control points.
Picking Out Pieces of Algebraic ...   (Mathematica Tutorial)
Functions to pick out pieces of polynomials. Here is an algebraic expression. This gives the coefficient of x in e.
Functions Used in Optics   (Mathematica Guide)
 
 
Mathematica 6.0 represented a major new level in Mathematica's distinguished twenty-year history of broad cutting-edge algorithm development. Mathematica's unified ...
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