Package: stokes 1.2-4

stokes: The Exterior Calculus

Provides functionality for working with tensors, alternating forms, wedge products, Stokes's theorem, and related concepts from the exterior calculus. Uses 'disordR' discipline (Hankin, 2022, <doi:10.48550/arXiv.2210.03856>). The canonical reference would be M. Spivak (1965, ISBN:0-8053-9021-9) "Calculus on Manifolds". To cite the package in publications please use Hankin (2022) <doi:10.48550/arXiv.2210.17008>.

Authors:Robin K. S. Hankin [aut, cre]

stokes_1.2-4.tar.gz
stokes_1.2-4.zip(r-4.7)stokes_1.2-4.zip(r-4.6)stokes_1.2-4.zip(r-4.5)
stokes_1.2-4.tgz(r-4.6-any)stokes_1.2-4.tgz(r-4.5-any)
stokes_1.2-4.tar.gz(r-4.7-any)stokes_1.2-4.tar.gz(r-4.6-any)
stokes_1.2-4.tgz(r-4.6-emscripten)
manual.pdf |manual.html✨
card.svg |card.png
stokes/json (API)
NEWS

# Install 'stokes' in R:
install.packages('stokes', repos = c('https://robinhankin.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/robinhankin/stokes/issues

Pkgdown/docs site:https://robinhankin.github.io

Datasets:
  • dx - Elementary forms in three-dimensional space
  • dy - Elementary forms in three-dimensional space
  • dz - Elementary forms in three-dimensional space
  • ex - Basis vectors in three-dimensional space
  • ey - Basis vectors in three-dimensional space
  • ez - Basis vectors in three-dimensional space

On CRAN:

Conda:

6.60 score 3 stars 283 downloads 59 exports 25 dependencies

Last updated from:332ce2a540. Checks:9 OK. Indexed: yes.

TargetResultTimeFilesSyslog
linux-devel-x86_64OK194
source / vignettesOK293
linux-release-x86_64OK190
macos-release-arm64OK188
macos-oldrel-arm64OK171
windows-develOK157
windows-releaseOK204
windows-oldrelOK156
wasm-releaseOK128

Exports:%^%%X%0form0tensorAltas.1formas.kformas.ktensoras.sprayas.symboliccoeffscoeffs<-consolidatecontractcontract_elementaryddiscarddovsegradhodgeinclude_permsinneris.emptyis.kformis.ktensoris.scalaris.volumeis.zeroissmallkeepkformkform_basiskform_generalkform_to_ktensorkill_trivial_rowskinnerktensorlosentermsphipullbackrformrformmrformmmrtensorscalarspraystretchtensorprodtensorprod2vcp3vector_cross_productvolumewedgewedge2zapzeroformzerotensor

Dependencies:abindclidigestdisordRfreealggluegmplatticelifecyclemagicmagrittrMatrixnumberspartitionspermutationspolynomrbibutilsRcppRdpackrlangsetsspraystringistringrvctrs

Function Alt() in the stokes package

Robin K. S. Hankin

Rendered fromAlt.Rmdusingknitr::rmarkdownon May 10 2026.

Last update: 2026-04-23
Started: 2021-05-03

Objects ex, ey, and ez in the stokes package

Robin K. S. Hankin

Rendered fromex.Rmdusingknitr::rmarkdownon May 10 2026.

Last update: 2026-04-17
Started: 2023-02-22

Functions contract() and contract_elementary() in the stokes package

Robin K. S. Hankin

Rendered fromcontract.Rmdusingknitr::rmarkdownon May 10 2026.

Last update: 2026-04-17
Started: 2022-01-01

Function dovs() in the stokes package

Robin K. S. Hankin

Rendered fromdovs.Rmdusingknitr::rmarkdownon May 10 2026.

Last update: 2026-04-26
Started: 2022-03-05

Objects dx, dy, and dz in the stokes package

Robin K. S. Hankin

Rendered fromdx.Rmdusingknitr::rmarkdownon May 10 2026.

Last update: 2026-04-23
Started: 2022-02-26

Function hodge() in the stokes package

Robin K. S. Hankin

Rendered fromhodge.Rmdusingknitr::rmarkdownon May 10 2026.

Last update: 2026-04-22
Started: 2022-03-04

Function inner() in the stokes package

Robin K. S. Hankin

Rendered frominner.Rmdusingknitr::rmarkdownon May 10 2026.

Last update: 2026-04-23
Started: 2021-05-03

Function kinner() in the stokes package

Robin K. S. Hankin

Rendered fromkinner.Rmdusingknitr::rmarkdownon May 10 2026.

Last update: 2026-04-22
Started: 2022-03-04

Function phi() in the stokes package

Robin K. S. Hankin

Rendered fromphi.Rmdusingknitr::rmarkdownon May 10 2026.

Last update: 2026-04-23
Started: 2025-01-14

Function tensorprod() in the stokes package

Robin K. S. Hankin

Rendered fromtensorprod.Rmdusingknitr::rmarkdownon May 10 2026.

Last update: 2026-04-23
Started: 2025-01-07

Exterior calculus with R

Robin K. S. Hankin

Rendered fromstokes.Rmdusingknitr::rmarkdownon May 10 2026.

Last update: 2026-04-01
Started: 2020-01-22

Functions vector_cross_product() and vcp3() in the stokes package

Robin K. S. Hankin

Rendered fromvector_cross_product.Rmdusingknitr::rmarkdownon May 10 2026.

Last update: 2026-04-23
Started: 2022-01-17

Function volume() in the stokes package

Robin K. S. Hankin

Rendered fromvolume.Rmdusingknitr::rmarkdownon May 10 2026.

Last update: 2026-04-23
Started: 2022-09-18

Functions wedge() and wedge2() in the stokes package

Robin K. S. Hankin

Rendered fromwedge.Rmdusingknitr::rmarkdownon May 10 2026.

Last update: 2026-04-23
Started: 2019-04-01

Readme and manuals

Help Manual

Help pageTopics
The Exterior Calculusstokes-package stokes
Alternating multilinear formsAlt
Coerce vectors to 1-formsas.1form grad
Extract and manipulate coefficientsas.spray coeff coeffs coeffs,kform-method coeffs,ktensor-method coeffs.kform coeffs.ktensor coeffs<- coeffs<-,kform-method coeffs<-,ktensor-method coeffs<-.kform coeffs<-.ktensor coeffs<-.spray nterms spray value<-
Various low-level helper functionsconsolidate include_perms kform_to_ktensor kill_trivial_rows lose_repeats
Contractions of k-formscontract contract_elementary
Dimension of the underlying vector spacedovs
Elementary forms in three-dimensional spacedx dy dz
Basis vectors in three-dimensional spaceex ey ez
Hodge star operatorHodge hodge star
Inner product operatorinner inner.product inner_product
Is a form zero to within numerical precision?issmall
Keep or drop variablesdiscard keep retain
k-formsas.function.kform as.kform d e general_kform is.form is.kform kform kform_basis kform_general
Inner product of two kformskinner
k-tensorsas.function.ktensor as.ktensor is.ktensor is.tensor ktensor
Arithmetic Ops Group Methods for 'kform' and 'ktensor' objectsOps Ops.kform Ops.ktensor Ops.stokes
Elementary tensorsphi
Print methods for k-tensors and k-formskform_symbolic_print ktensor_symbolic_print polyform print.kform print.ktensor print.stokes stokes_symbolic_print
Random kforms and ktensorsrform rformm rformmm rkform rktensor rtensor
Scalars and losing attributes0form 0tensor drop is.scalar lose lose.kform lose.ktensor scalar
Summaries of tensors and alternating formsprint.summary.kform print.summary.ktensor print.summary.spray summary summary.kform summary.ktensor summary.stokes
Symbolic formas.symbolic symbolic
Tensor products of k-tensors%X% tensorprod tensorprod2
Linear transforms of k-formspull-back pullback push-forward pushforward stretch transform
The Vector cross productvcp3 vector_cross_product
The volume elementis.volume volume
Wedge products%^% wedge wedge2
Zap small values in k-forms and k-tensorszap zap.kform zap.ktensor zap.spray zapsmall zaptiny
Zero tensors and zero formsis.empty is.zero zero zeroform zerotensor