UnivariateMonomial

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UnivariateMonomial

$\begin{usage} import from UnivariateMonomial~R\\ import from UnivariateMonomial(R, x) \end{usage}$

$\begin{params} {\em R} & \htmlref{\texttt{SumitType}}{SumitType} & Coefficient... ...tmlref{\texttt{Symbol}}{Symbol} & The variable name (optional)\\\end{params}$

$\begin{descr} This type implements univariate monomials with coefficients in R. \end{descr}$

Exports

`SumitType`
`apply`:	(%, TREE) $\to$ TREE	Applies a monomial to a tree
`coefficient`:	% $\to$ R	Extraction of the coefficient
`degree`:	% $\to$ `Integer`	The degree of a monomial
`map`:	(R $\to$ R) $\to$ % $\to$ %	Lift a map
`map!`:	(R $\to$ R) $\to$ % $\to$ %	Lift a map
`monomial`:	(R, `Integer`) $\to$ %	Creation of a monomial
`setCoefficient!`:	(%, R) $\to$ R	In-place coefficient modification
`setDegree!`:	(%, Z) $\to$ Z	In-place degree modification

if has FiniteCharacteristic then
pthPower: % $\to$ % Exponentiation to the characteristic

pthPower!: % $\to$ % In-place exponentiation to the characteristic

where
TREE == ExpressionTree

Subsections

Next: apply Up: Univariate Polynomials and Series Previous: integerRoots,rationalRoots Contents Index

Manuel Bronstein 2000-12-13

`pthPower`:	% $\to$ %	Exponentiation to the characteristic
`pthPower!`:	% $\to$ %	In-place exponentiation to the characteristic