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Algebraic Number Theory   (Mathematica Guide)
With its convenient symbolic representation of algebraic numbers, Mathematica's state-of-the-art algebraic number theory capabilities provide a concrete implementation of one ...
Numerical Differential Equation ...   (Numerical Differential Equation Analysis Package Guide)
 
IsolatingInterval   (Built-in Mathematica Symbol)
IsolatingInterval[a] gives a rational isolating interval for the algebraic number a.IsolatingInterval[a, dx] gives an isolating interval of width at most dx.
CoefficientArrays   (Built-in Mathematica Symbol)
CoefficientArrays[polys, vars] gives the arrays of coefficients of the variables vars in the polynomials polys.
Generic and Non-Generic Solutions   (Mathematica Tutorial)
If you have an equation like 2x==0, it is perfectly clear that the only possible solution is x->0. However, if you have an equation like ax==0, things are not so clear. If a ...
FactorSquareFree   (Built-in Mathematica Symbol)
FactorSquareFree[poly] pulls out any multiple factors in a polynomial.
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 ...
SolveAlways   (Built-in Mathematica Symbol)
SolveAlways[eqns, vars] gives the values of parameters that make the equations eqns valid for all values of the variables vars.
Quartics   (Built-in Mathematica Symbol)
Quartics is an option for functions that involve solving algebraic equations that specifies whether explicit forms for solutions to quartic equations should be given.
Eliminate   (Built-in Mathematica Symbol)
Eliminate[eqns, vars] eliminates variables between a set of simultaneous equations.
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