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DiffAlg : Table of Contents
DiffAlg
-- a differential algebra package
- DiffAlgElement
-- negation of a differential form or vector field
degree(DiffAlgElement)
-- degree of a differential form or a vector field
diff(DiffAlgForm)
-- exterior differential
DiffAlgDistribution
-- the class of distributions of vector fields
DiffAlgElement
-- the class of all differential forms and vector fields
DiffAlgElement * RingElement
-- scalar multiplication
DiffAlgElement + DiffAlgElement
-- addition
DiffAlgElement - DiffAlgElement
-- subtraction
DiffAlgElement / RingElement
-- scalar division
DiffAlgElement | String
-- concatenate a string with a differential form or vector field
DiffAlgField
-- the class of all vector fields
DiffAlgField _ DiffAlgForm
-- contraction of a differential form with respect to a vector field
DiffAlgField | DiffAlgField
-- Lie bracket
DiffAlgForm
-- the class of all differential forms
DiffAlgForm ^ DiffAlgForm
-- exterior product
dist
-- produces a DiffAlgDistribution from a list
genIm
-- basis of the image of a linear application
genKer
-- basis of the kernel of a linear application
homogenize(DiffAlgElement)
-- homogenize a differential form or vector field
isInvolutive
-- tests if a distribution is involutive
linearComb
-- generic linear combination of elements
List * DiffAlgForm
-- pull-back of a differential form by a list of polynomials
logarithmicForm
-- creates a logarithmic form
logarithmicForm(..., Projective => ...)
-- a boolean option to produce a projective logarithmic form
moduliIdeal
-- ideal generated by the coefficients of a differential form or vector field
net(DiffAlgElement)
-- prints a differential form or vector field using the pretty command
newField
-- constructor of a vector field
newField(String)
-- constructor of a vector field
newForm
-- constructor of a differential form
newForm(String)
-- constructor of a differential form
radial
-- defines the radial vector field
random(DiffAlgElement,Ring)
-- replaces the coefficients of a differential form or a vector field with random values
rank(DiffAlgDistribution)
-- rank of the given distribution
ring(DiffAlgElement)
-- ring of the differential form or vector field
singularIdeal
-- ideal generated by the polynomial coefficients of a differential form or vector field
substitute(DiffAlgElement,Ring)
-- gets the RingElement of a differential form or vector field in a ring
toString(DiffAlgElement)
-- converts a differential form or vector field to a string