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File Operations   (Mathematica Guide)
In addition to a rich set of standard file operations, Mathematica's unified symbolic architecture makes it easy to apply algorithmic approaches and efficient higher-level ...
Do Basic Calculations   (Mathematica How To)
Mathematica serves as a convenient and extensible environment for doing basic math. In addition to performing advanced calculations, Mathematica can also be used as a ...
FactorSquareFreeList   (Built-in Mathematica Symbol)
FactorSquareFreeList[poly] gives a list of square-free factors of a polynomial, together with their exponents.
PolynomialMod   (Built-in Mathematica Symbol)
PolynomialMod[poly, m] gives the polynomial poly reduced modulo m. PolynomialMod[poly, {m_1, m_2, ...}] reduces modulo all of the m_i.
PolynomialQuotient   (Built-in Mathematica Symbol)
PolynomialQuotient[p, q, x] gives the quotient of p and q, treated as polynomials in x, with any remainder dropped.
Finding the Structure of a Polynomial   (Mathematica Tutorial)
Finding the structure of polynomials written in expanded form. Here is a polynomial in two variables. This is the polynomial in expanded form.
ExpandNumerator   (Built-in Mathematica Symbol)
ExpandNumerator[expr] expands out products and powers that appear in the numerator of expr.
FactorTermsList   (Built-in Mathematica Symbol)
FactorTermsList[poly] gives a list in which the first element is the overall numerical factor in poly, and the second element is the polynomial with the overall factor ...
TrigToExp   (Built-in Mathematica Symbol)
TrigToExp[expr] converts trigonometric functions in expr to exponentials.
Logical and Piecewise Functions   (Mathematica Tutorial)
Nested logical and piecewise functions can be expanded out much like nested arithmetic functions. You can do this using LogicalExpand and PiecewiseExpand. Expanding out ...
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