The Exterior Calculus

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Documentation for package ‘stokes’ version 1.0-9

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stokes-package The Exterior Calculus
%X% Cross products of k-tensors
%^% Wedge products
0form Lose attributes
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.symbolic Symbolic form
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
consolidate Various low-level helper functions
contract Contractions of k-forms
contract_elementary Contractions of k-forms
cross Cross products of k-tensors
cross2 Cross products of k-tensors
discard Keep or drop variables
drop Lose attributes
drop.free Keep or drop variables
general_kform k-forms
grad Coerce vectors to 1-forms
Hodge Hodge star operator
hodge Hodge star operator
include_perms Various low-level helper functions
inner Inner product operator
inner.product Inner product operator
inner_product Inner product operator
is.form k-forms
is.kform k-forms
is.ktensor k-tensors
is.scalar Lose attributes
is.tensor k-tensors
is.volume The volume element
issmall Is a form zero to within numerical precision?
keep Keep or drop variables
kform k-forms
kform_basis k-forms
kform_general k-forms
kform_to_ktensor Various low-level helper functions
kill_trivial_rows Various low-level helper functions
ktensor k-tensors
lose Lose attributes
lose.kform Lose attributes
lose.ktensor Lose attributes
lose_repeats Various low-level helper functions
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
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
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
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
scalar Lose attributes
star Hodge star operator
stretch Linear transforms of k-forms
symbolic Symbolic form
transform Linear transforms of k-forms
value<- Extract and manipulate coefficients
volume The volume element
wedge Wedge products
wedge2 Wedge products
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
zeroform Zero tensors and zero forms
zerotensor Zero tensors and zero forms