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Typing Square Roots   (Mathematica Tutorial)
To get a square root sign, press the Control key and the 2 key at the same time. Press Ctrl+2 or Ctrl+@. Type inside the placeholder (which is already selected).
New in 6.0: Symbolic Computation   (Mathematica Guide)
 
FullSimplify   (Built-in Mathematica Symbol)
FullSimplify[expr] tries a wide range of transformations on expr involving elementary and special functions, and returns the simplest form it finds. FullSimplify[expr, assum] ...
Inverse Functions   (Mathematica Guide)
 
CylindricalDecomposition   (Built-in Mathematica Symbol)
CylindricalDecomposition[ineqs, {x_1, x_2, ...}] finds a decomposition of the region represented by the inequalities ineqs into cylindrical parts whose directions correspond ...
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 ...
Numerical Equation Solving   (Mathematica Tutorial)
Numerical root finding. NSolve gives you numerical approximations to all the roots of a polynomial equation. You can also use NSolve to solve sets of simultaneous equations ...
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 ...
Numerical Solution of Polynomial ...   (Mathematica Tutorial)
When Solve cannot find solutions in terms of radicals to polynomial equations, it returns a symbolic form of the result in terms of Root objects. You can get numerical ...
Advanced Topics in Algebra   (Mathematica Overview)
Complex Polynomial Systems Real Polynomial Systems Diophantine Polynomial Systems
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