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Simplify   (Built-in Mathematica Symbol)
Simplify[expr] performs a sequence of algebraic and other transformations on expr, and returns the simplest form it finds. Simplify[expr, assum] does simplification using ...
Patterns for Some Common Types of ...   (Mathematica Tutorial)
Using the objects described in "Introduction to Patterns", you can set up patterns for many kinds of expressions. In all cases, you must remember that the patterns must ...
Algebra`AlgebraicInequalities`   (Mathematica Compatibility Information)
New function SemialgebraicComponentInstances has been added to the built-in Mathematica kernel.
Refine and Simplify Expressions   (Mathematica How To)
Mathematica provides tools to simplify a diverse range of mathematical expressions to make them easier to understand, or more efficient to compute.
Advanced Numerical Differential ...   (Mathematica Overview)
Introduction ODE Integration Methods Partial Differential Equations
EquationTrekker Package   (Equation Trekker Package Tutorial)
This package provides an interactive tool for investigating the solutions of differential equations as well as other types of equations that have solutions that can be viewed ...
Linear Algebra   (Mathematica Overview)
Constructing Matrices Getting and Setting Pieces of Matrices Scalars, Vectors, and Matrices
Numerical Root Finding   (Mathematica Tutorial)
NSolve gives you a general way to find numerical approximations to the solutions of polynomial equations. Finding numerical solutions to more general equations, however, can ...
Advanced Numerical Differential ...   (Mathematica Tutorial)
[AP91] Ascher, U. and L. Petzold. "Projected Implicit Runge–Kutta Methods for Differential Algebraic Equations." SIAM J. Numer. Anal. 28 (1991): 1097–1120. [AP98] Ascher, U. ...
ProductLog   (Built-in Mathematica Symbol)
ProductLog[z] gives the principal solution for w in z == w e^w. ProductLog[k, z] gives the k\[Null]^th solution.
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