R: The Exterior Calculus

# The Exterior Calculus

## Documentation for package ‘stokes’ version 1.2-3

- DESCRIPTION file
- User guides, package vignettes and other documentation
- Package NEWS
- Package README

## Help Pages

A C D E G H I K L N O P R S T V W Z misc

stokes-package | The Exterior Calculus

## -- A --

Alt | Alternating multilinear forms
as.1form | Coerce vectors to 1-forms
as.function.kform | k-forms
as.function.ktensor | k-tensors
as.kform | k-forms
as.ktensor | k-tensors
as.spray | Extract and manipulate coefficients
as.symbolic | Symbolic form

## -- C --

coeff | Extract and manipulate coefficients
coeffs | Extract and manipulate coefficients
coeffs-method | Extract and manipulate coefficients
coeffs.kform | Extract and manipulate coefficients
coeffs.ktensor | Extract and manipulate coefficients
coeffs<- | Extract and manipulate coefficients
coeffs<--method | Extract and manipulate coefficients
coeffs<-.kform | Extract and manipulate coefficients
coeffs<-.ktensor | Extract and manipulate coefficients
coeffs<-.spray | Extract and manipulate coefficients
consolidate | Various low-level helper functions
contract | Contractions of k-forms
contract_elementary | Contractions of k-forms

## -- D --

d | k-forms
discard | Keep or drop variables
dovs | Dimension of the underlying vector space
drop | Scalars and losing attributes
dx | Elementary forms in three-dimensional space
dy | Elementary forms in three-dimensional space
dz | Elementary forms in three-dimensional space

## -- E --

e | k-forms
ex | Basis vectors in three-dimensional space
ey | Basis vectors in three-dimensional space
ez | Basis vectors in three-dimensional space

## -- G --

general_kform | k-forms
grad | Coerce vectors to 1-forms

## -- H --

Hodge | Hodge star operator
hodge | Hodge star operator

## -- I --

include_perms | Various low-level helper functions
inner | Inner product operator
inner.product | Inner product operator
inner_product | Inner product operator
is.empty | Zero tensors and zero forms
is.form | k-forms
is.kform | k-forms
is.ktensor | k-tensors
is.scalar | Scalars and losing attributes
is.tensor | k-tensors
is.volume | The volume element
is.zero | Zero tensors and zero forms
issmall | Is a form zero to within numerical precision?

## -- K --

keep | Keep or drop variables
kform | k-forms
kform_basis | k-forms
kform_general | k-forms
kform_symbolic_print | Print methods for k-tensors and k-forms
kform_to_ktensor | Various low-level helper functions
kill_trivial_rows | Various low-level helper functions
kinner | Inner product of two kforms
ktensor | k-tensors
ktensor_symbolic_print | Print methods for k-tensors and k-forms

## -- L --

lose | Scalars and losing attributes
lose.kform | Scalars and losing attributes
lose.ktensor | Scalars and losing attributes
lose_repeats | Various low-level helper functions

## -- N --

nterms | Extract and manipulate coefficients

## -- O --

Ops | Arithmetic Ops Group Methods for 'kform' and 'ktensor' objects
Ops.kform | Arithmetic Ops Group Methods for 'kform' and 'ktensor' objects
Ops.ktensor | Arithmetic Ops Group Methods for 'kform' and 'ktensor' objects
Ops.stokes | Arithmetic Ops Group Methods for 'kform' and 'ktensor' objects

## -- P --

phi | Elementary tensors
polyform | Print methods for k-tensors and k-forms
print.kform | Print methods for k-tensors and k-forms
print.ktensor | Print methods for k-tensors and k-forms
print.stokes | Print methods for k-tensors and k-forms
print.summary.kform | Summaries of tensors and alternating forms
print.summary.ktensor | Summaries of tensors and alternating forms
print.summary.spray | Summaries of tensors and alternating forms
pull-back | Linear transforms of k-forms
pullback | Linear transforms of k-forms
push-forward | Linear transforms of k-forms
pushforward | Linear transforms of k-forms

## -- R --

retain | Keep or drop variables
rform | Random kforms and ktensors
rkform | Random kforms and ktensors
rktensor | Random kforms and ktensors
rtensor | Random kforms and ktensors

## -- S --

scalar | Scalars and losing attributes
spray | Extract and manipulate coefficients
star | Hodge star operator
stokes | The Exterior Calculus
stokes_symbolic_print | Print methods for k-tensors and k-forms
stretch | Linear transforms of k-forms
summary | Summaries of tensors and alternating forms
summary.kform | Summaries of tensors and alternating forms
summary.ktensor | Summaries of tensors and alternating forms
summary.stokes | Summaries of tensors and alternating forms
symbolic | Symbolic form

## -- T --

tensorprod | Tensor products of k-tensors
tensorprod2 | Tensor products of k-tensors
transform | Linear transforms of k-forms

## -- V --

value<- | Extract and manipulate coefficients
vcp3 | The Vector cross product
vector_cross_product | The Vector cross product
volume | The volume element

## -- W --

wedge | Wedge products
wedge2 | Wedge products

## -- Z --

zap | Zap small values in k-forms and k-tensors
zap.kform | Zap small values in k-forms and k-tensors
zap.ktensor | Zap small values in k-forms and k-tensors
zap.spray | Zap small values in k-forms and k-tensors
zapsmall | Zap small values in k-forms and k-tensors
zaptiny | Zap small values in k-forms and k-tensors
zero | Zero tensors and zero forms
zeroform | Zero tensors and zero forms
zerotensor | Zero tensors and zero forms

## -- misc --

%X% | Tensor products of k-tensors
%^% | Wedge products
0form | Scalars and losing attributes
0tensor | Scalars and losing attributes