DiffAlgElement -- the class of all differential forms and vector fields

Types of DiffAlgElement :

• DiffAlgField -- the class of all vector fields
• DiffAlgForm -- the class of all differential forms

Functions and methods returning an object of class DiffAlgElement :

• - DiffAlgElement -- negation of a differential form or vector field
• DiffAlgElement * QQ, see DiffAlgElement * RingElement -- scalar multiplication
• DiffAlgElement * RingElement -- scalar multiplication
• DiffAlgElement * ZZ, see DiffAlgElement * RingElement -- scalar multiplication
• QQ * DiffAlgElement, see DiffAlgElement * RingElement -- scalar multiplication
• RingElement * DiffAlgElement, see DiffAlgElement * RingElement -- scalar multiplication
• ZZ * DiffAlgElement, see DiffAlgElement * RingElement -- scalar multiplication
• DiffAlgElement + DiffAlgElement -- addition
• DiffAlgElement - DiffAlgElement -- subtraction
• DiffAlgElement / QQ, see DiffAlgElement / RingElement -- scalar division
• DiffAlgElement / RingElement -- scalar division
• DiffAlgElement / ZZ, see DiffAlgElement / RingElement -- scalar division
• homogenize(DiffAlgElement) -- homogenize a differential form or vector field
• linearComb(List,String), see linearComb -- generic linear combination of elements
• random(DiffAlgElement), see random(DiffAlgElement,Ring) -- replaces the coefficients of a differential form or a vector field with random values
• random(DiffAlgElement,Ring) -- replaces the coefficients of a differential form or a vector field with random values

Methods that use an object of class DiffAlgElement :

• degree(DiffAlgElement) -- degree of a differential form or a vector field
• DiffAlgElement | String -- concatenate a string with a differential form or vector field
• String | DiffAlgElement, see DiffAlgElement | String -- concatenate a string with a differential form or vector field
• genIm(DiffAlgElement,DiffAlgElement), see genIm -- basis of the image of a linear application
• genKer(DiffAlgElement,DiffAlgElement), see genKer -- basis of the kernel of a linear application
• moduliIdeal(DiffAlgElement), see 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
• ring(DiffAlgElement) -- ring of the differential form or vector field
• singularIdeal(DiffAlgElement), see 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

For the programmer

The object DiffAlgElement is a type, with ancestor classes HashTable < Thing.