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MonomialList   (Built-in Mathematica Symbol)
MonomialList[poly] gives the list of all monomials in the polynomial poly. MonomialList[poly, {x_1, x_2, ...}] gives the list of monomials with respect to the variables x_i ...
Do Algebraic Calculations   (Mathematica How To)
These "How tos" give step-by-step instructions for common tasks related to algebraic computation in Mathematica .
Rearrange the Terms of a Polynomial   (Mathematica How To)
Mathematica provides many functions to group terms in a polynomial, extract and sort the monomials, display them in various ways, and even process them as arbitrary ...
CoefficientRules   (Built-in Mathematica Symbol)
CoefficientRules[poly, {x_1, x_2, ...}] gives the list {{e_11, e_12, ...} -> c_1, {e_21, ...} -> c_2, ...} of exponent vectors and coefficients for the monomials in poly with ...
Factoring a quadratic polynomial in one variable is straightforward. But Mathematica routinely factors degree-100 polynomials in 3 variables—by making use of a tower of ...
Polynomial Orderings   (Mathematica Tutorial)
The leading term of a polynomial can be chosen in many different ways. For multivariate polynomials, sorting by the total degree of the monomials is often useful. Different ...
Polynomial Algebra   (Mathematica Guide)
Polynomial algorithms are at the core of classical "computer algebra". Incorporating methods that span from antiquity to the latest cutting-edge research at Wolfram Research, ...
Mathematica 7 represents another major achievement in Mathematica's long history of innovation in mathematics and algorithms. Building on the broad capabilities of ...
New in 7.0: Alphabetical Listing   (Mathematica Guide)
The release of Mathematica 6 in May 2007 represented a revolution in the development of Mathematica. Building on this revolution, Mathematica 7 not only greatly broadens and ...
Summary of New Features in 7.0   (Mathematica Guide)
The introduction of Mathematica 6 in 2007 represented a revolutionary redefinition of Mathematica. Arriving only 18 months after Mathematica 6, Mathematica 7 represents ...
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