Package: braids 1.0.0
Stéphane Laurent
braids: The Braid Groups
Deals with the braid groups. Includes creation of some specific braids, group operations, free reduction, and Bronfman polynomials. Braid theory has applications in fluid mechanics and quantum physics. The code is adapted from the 'Haskell' library 'combinat', and is based on Birman and Brendle (2005) <doi:10.48550/arXiv.math/0409205>.
Authors:
braids_1.0.0.tar.gz
braids_1.0.0.zip(r-4.5)braids_1.0.0.zip(r-4.4)braids_1.0.0.zip(r-4.3)
braids_1.0.0.tgz(r-4.4-any)braids_1.0.0.tgz(r-4.3-any)
braids_1.0.0.tar.gz(r-4.5-noble)braids_1.0.0.tar.gz(r-4.4-noble)
braids_1.0.0.tgz(r-4.4-emscripten)braids_1.0.0.tgz(r-4.3-emscripten)
braids.pdf |braids.html✨
braids/json (API)
NEWS
| # Install 'braids' in R: |
| install.packages('braids', repos = c('https://stla.r-universe.dev', 'https://cloud.r-project.org')) |
Bug tracker:https://github.com/stla/braids/issues
Last updated 7 months agofrom:24232c0e1f. Checks:OK: 7. Indexed: yes.
| Target | Result | Date |
|---|---|---|
| Doc / Vignettes | OK | Oct 29 2024 |
| R-4.5-win | OK | Oct 29 2024 |
| R-4.5-linux | OK | Oct 29 2024 |
| R-4.4-win | OK | Oct 29 2024 |
| R-4.4-mac | OK | Oct 29 2024 |
| R-4.3-win | OK | Oct 29 2024 |
| R-4.3-mac | OK | Oct 29 2024 |
Exports:allBraidWordsallPositiveBraidWordsbraidASCIIbraidPermutationbronfmanPolynomialscomposeManyBraidscomposeTwoBraidsdoubleSigmafreeReduceBraidWordhalfTwistinverseBraidisPermutationBraidisPositiveBraidWordisPureBraidlinkingMatrixmkBraidnumberOfStrandspermutationBraidstrandLinkingtau
Readme and manuals
Help Manual
| Help page | Topics |
|---|---|
| Braid words of given length | allBraidWords |
| Positive braid words of given length | allPositiveBraidWords |
| ASCII braid | braidASCII |
| Braid permutation | braidPermutation |
| Bronfman polynomials | bronfmanPolynomials |
| Composition of many braids. | composeManyBraids |
| Composition of two braids | composeTwoBraids |
| Double generator | doubleSigma |
| Free reduction of a braid | freeReduceBraidWord |
| Half-twist | halfTwist |
| Inverse braid | inverseBraid |
| Whether a braid is a permutation braid | isPermutationBraid |
| Whether a braid is positive | isPositiveBraidWord |
| Whether a braid is pure | isPureBraid |
| Linking matrix | linkingMatrix |
| Make a braid | mkBraid |
| Number of strands | numberOfStrands |
| Permutation braid | permutationBraid |
| Linking number between two strands | strandLinking |
| Inner automorphism | tau |
