{
  "_id": "6a49d2b2b48287dcb3fda77f",
  "Package": "braids",
  "Title": "The Braid Groups",
  "Version": "1.0.0",
  "Authors@R": "c(\nperson(\"Stéphane\", \"Laurent\", , \"laurent_step@outlook.fr\", role = c(\"aut\", \"cre\")),\nperson(\"Balazs\", \"Komuves\", role = \"cph\",\ncomment = \"author of the Haskell library 'combinat'\")\n)",
  "Description": "Deals with the braid groups. Includes creation of some\nspecific braids, group operations, free reduction, and Bronfman\npolynomials. Braid theory has applications in fluid mechanics\nand quantum physics. The code is adapted from the 'Haskell'\nlibrary 'combinat', and is based on Birman and Brendle (2005)\n<doi:10.48550/arXiv.math/0409205>.",
  "License": "GPL-3",
  "URL": "https://github.com/stla/braids",
  "BugReports": "https://github.com/stla/braids/issues",
  "Encoding": "UTF-8",
  "RoxygenNote": "7.3.1",
  "Repository": "https://stla.r-universe.dev",
  "Date/Publication": "2024-04-26 16:52:07 UTC",
  "RemoteUrl": "https://github.com/stla/braids",
  "RemoteRef": "HEAD",
  "RemoteSha": "24232c0e1f25f4c2525a2a71bfe9a1358232f339",
  "NeedsCompilation": "no",
  "Packaged": {
    "Date": "2026-06-16 10:54:52 UTC",
    "User": "root"
  },
  "Author": "Stéphane Laurent [aut, cre],\nBalazs Komuves [cph] (author of the Haskell library 'combinat')",
  "Maintainer": "Stéphane Laurent <laurent_step@outlook.fr>",
  "_user": "stla",
  "_type": "src",
  "_file": "braids_1.0.0.tar.gz",
  "_fileid": "https://r2.ropensci.org/5f95494a7f6c5168562ab8b43f92b3f453a7e90499459e795bee07407127c335",
  "_filesize": 150865,
  "_sha256": "5f95494a7f6c5168562ab8b43f92b3f453a7e90499459e795bee07407127c335",
  "_expires": "2026-10-13T03:42:40.000Z",
  "_created": "2026-06-16T10:54:52.000Z",
  "_published": "2026-07-05T03:42:42.063Z",
  "_jobs": [
    {
      "job": 85190095139,
      "time": 108,
      "config": "linux-devel-x86_64",
      "r": "4.7.0",
      "check": "OK",
      "artifact": "7664734376"
    },
    {
      "job": 85190095066,
      "time": 119,
      "config": "linux-release-x86_64",
      "r": "4.6.0",
      "check": "OK",
      "artifact": "7664738285"
    },
    {
      "job": 85190095143,
      "time": 81,
      "config": "macos-oldrel-arm64",
      "r": "4.5.3",
      "check": "OK",
      "artifact": "7664724133"
    },
    {
      "job": 85190095151,
      "time": 104,
      "config": "macos-release-arm64",
      "r": "4.6.0",
      "check": "OK",
      "artifact": "7664732439"
    },
    {
      "job": 85190094901,
      "time": 152,
      "config": "source",
      "r": "4.6.0",
      "check": "OK",
      "artifact": "7664693661"
    },
    {
      "job": 85190095144,
      "time": 84,
      "config": "wasm-release",
      "r": "4.6.0",
      "check": "OK",
      "artifact": "7664725401"
    },
    {
      "job": 85190095085,
      "time": 62,
      "config": "windows-devel",
      "r": "4.7.0",
      "check": "OK",
      "artifact": "7664716799"
    },
    {
      "job": 85190095100,
      "time": 56,
      "config": "windows-oldrel",
      "r": "4.5.3",
      "check": "OK",
      "artifact": "7664717041"
    },
    {
      "job": 85190095203,
      "time": 76,
      "config": "windows-release",
      "r": "4.6.0",
      "check": "OK",
      "artifact": "7664721622"
    }
  ],
  "_host": "GitHub-Actions",
  "_buildurl": "https://github.com/r-universe/stla/actions/runs/27612402163",
  "_status": "success",
  "_upstream": "https://github.com/stla/braids",
  "_commit": {
    "id": "24232c0e1f25f4c2525a2a71bfe9a1358232f339",
    "author": "stla <laurent_step@yahoo.fr>",
    "committer": "stla <laurent_step@yahoo.fr>",
    "message": "fixed DOI\n",
    "time": 1714150327
  },
  "_maintainer": {
    "name": "Stéphane Laurent",
    "email": "laurent_step@outlook.fr",
    "login": "laustep",
    "description": "",
    "uuid": 29288085
  },
  "_distro": "noble",
  "_registered": true,
  "_dependencies": [
    {
      "package": "maybe",
      "role": "Imports"
    }
  ],
  "_owner": "stla",
  "_selfowned": true,
  "_usedby": 0,
  "_updates": [],
  "_tags": [],
  "_topics": [
    "braid-groups"
  ],
  "_stars": 1,
  "_contributors": [
    {
      "user": "stla",
      "count": 17,
      "uuid": 4466543
    }
  ],
  "_userbio": {
    "uuid": 4466543,
    "type": "user",
    "name": "stla",
    "followers": 120
  },
  "_downloads": {
    "count": 629,
    "source": "https://cranlogs.r-pkg.org/downloads/total/last-month/braids"
  },
  "_devurl": "https://github.com/stla/braids",
  "_searchresults": 0,
  "_rbuild": "4.6.0",
  "_assets": [
    "extra/braids.html",
    "extra/citation.cff",
    "extra/citation.html",
    "extra/citation.json",
    "extra/citation.txt",
    "extra/contents.json",
    "extra/NEWS.html",
    "extra/NEWS.txt",
    "extra/readme.html",
    "extra/readme.md",
    "manual.pdf"
  ],
  "_homeurl": "https://github.com/stla/braids",
  "_realowner": "stla",
  "_cranurl": true,
  "_releases": [
    {
      "version": "1.0.0",
      "date": "2024-04-28"
    }
  ],
  "_exports": [
    "allBraidWords",
    "allPositiveBraidWords",
    "braidASCII",
    "braidPermutation",
    "bronfmanPolynomials",
    "composeManyBraids",
    "composeTwoBraids",
    "doubleSigma",
    "freeReduceBraidWord",
    "halfTwist",
    "inverseBraid",
    "isPermutationBraid",
    "isPositiveBraidWord",
    "isPureBraid",
    "linkingMatrix",
    "mkBraid",
    "numberOfStrands",
    "permutationBraid",
    "strandLinking",
    "tau"
  ],
  "_help": [
    {
      "page": "allBraidWords",
      "title": "Braid words of given length",
      "topics": [
        "allBraidWords"
      ]
    },
    {
      "page": "allPositiveBraidWords",
      "title": "Positive braid words of given length",
      "topics": [
        "allPositiveBraidWords"
      ]
    },
    {
      "page": "braidASCII",
      "title": "ASCII braid",
      "topics": [
        "braidASCII"
      ]
    },
    {
      "page": "braidPermutation",
      "title": "Braid permutation",
      "topics": [
        "braidPermutation"
      ]
    },
    {
      "page": "bronfmanPolynomials",
      "title": "Bronfman polynomials",
      "topics": [
        "bronfmanPolynomials"
      ]
    },
    {
      "page": "composeManyBraids",
      "title": "Composition of many braids.",
      "topics": [
        "composeManyBraids"
      ]
    },
    {
      "page": "composeTwoBraids",
      "title": "Composition of two braids",
      "topics": [
        "composeTwoBraids"
      ]
    },
    {
      "page": "doubleSigma",
      "title": "Double generator",
      "topics": [
        "doubleSigma"
      ]
    },
    {
      "page": "freeReduceBraidWord",
      "title": "Free reduction of a braid",
      "topics": [
        "freeReduceBraidWord"
      ]
    },
    {
      "page": "halfTwist",
      "title": "Half-twist",
      "topics": [
        "halfTwist"
      ]
    },
    {
      "page": "inverseBraid",
      "title": "Inverse braid",
      "topics": [
        "inverseBraid"
      ]
    },
    {
      "page": "isPermutationBraid",
      "title": "Whether a braid is a permutation braid",
      "topics": [
        "isPermutationBraid"
      ]
    },
    {
      "page": "isPositiveBraidWord",
      "title": "Whether a braid is positive",
      "topics": [
        "isPositiveBraidWord"
      ]
    },
    {
      "page": "isPureBraid",
      "title": "Whether a braid is pure",
      "topics": [
        "isPureBraid"
      ]
    },
    {
      "page": "linkingMatrix",
      "title": "Linking matrix",
      "topics": [
        "linkingMatrix"
      ]
    },
    {
      "page": "mkBraid",
      "title": "Make a braid",
      "topics": [
        "mkBraid"
      ]
    },
    {
      "page": "numberOfStrands",
      "title": "Number of strands",
      "topics": [
        "numberOfStrands"
      ]
    },
    {
      "page": "permutationBraid",
      "title": "Permutation braid",
      "topics": [
        "permutationBraid"
      ]
    },
    {
      "page": "strandLinking",
      "title": "Linking number between two strands",
      "topics": [
        "strandLinking"
      ]
    },
    {
      "page": "tau",
      "title": "Inner automorphism",
      "topics": [
        "tau"
      ]
    }
  ],
  "_readme": "https://github.com/stla/braids/raw/HEAD/README.md",
  "_rundeps": [
    "magrittr",
    "maybe"
  ],
  "_score": 2.6989700043360187,
  "_indexed": true,
  "_nocasepkg": "braids",
  "_universes": [
    "stla",
    "laustep"
  ],
  "_binaries": [
    {
      "r": "4.7.0",
      "os": "linux",
      "version": "1.0.0",
      "date": "2026-06-16T10:56:47.000Z",
      "distro": "noble",
      "commit": "24232c0e1f25f4c2525a2a71bfe9a1358232f339",
      "fileid": "https://r2.ropensci.org/9bc0179aa9a51910286730b874cd6781b5fadbb9930261a82d5bd1b0268b4529",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/stla/actions/runs/27612402163"
    },
    {
      "r": "4.6.0",
      "os": "linux",
      "version": "1.0.0",
      "date": "2026-06-16T10:56:41.000Z",
      "distro": "noble",
      "commit": "24232c0e1f25f4c2525a2a71bfe9a1358232f339",
      "fileid": "https://r2.ropensci.org/a7cb985ac86762943646acf9e001f73f912a287c63fd6f7328143b6785c5bff8",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/stla/actions/runs/27612402163"
    },
    {
      "r": "4.5.3",
      "os": "mac",
      "version": "1.0.0",
      "date": "2026-06-16T10:56:20.000Z",
      "commit": "24232c0e1f25f4c2525a2a71bfe9a1358232f339",
      "fileid": "https://r2.ropensci.org/8d03985ed900f5024c995cd02ef3e36c5f19c00ca8d32799f1b040d760c16bf0",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/stla/actions/runs/27612402163"
    },
    {
      "r": "4.6.0",
      "os": "mac",
      "version": "1.0.0",
      "date": "2026-06-16T10:56:41.000Z",
      "commit": "24232c0e1f25f4c2525a2a71bfe9a1358232f339",
      "fileid": "https://r2.ropensci.org/fa43dd2234012a5a23d6363e78dbacaa9af9a905af2b9db0c61b45fcc80096a5",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/stla/actions/runs/27612402163"
    },
    {
      "r": "4.6.0",
      "os": "wasm",
      "version": "1.0.0",
      "date": "2026-06-16T10:56:30.000Z",
      "commit": "24232c0e1f25f4c2525a2a71bfe9a1358232f339",
      "fileid": "https://r2.ropensci.org/84f8ab35cc0f7d10eb9c4f6e7512ecb6cd67a8802fccf39504e97d6588e1c36c",
      "status": "success",
      "buildurl": "https://github.com/r-universe/stla/actions/runs/27612402163"
    },
    {
      "r": "4.7.0",
      "os": "win",
      "version": "1.0.0",
      "date": "2026-06-16T10:55:55.000Z",
      "commit": "24232c0e1f25f4c2525a2a71bfe9a1358232f339",
      "fileid": "https://r2.ropensci.org/51ad946b5879af5adfe8a1b71ad55395afd6f0e50b7bab984ec6854f02b32a12",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/stla/actions/runs/27612402163"
    },
    {
      "r": "4.5.3",
      "os": "win",
      "version": "1.0.0",
      "date": "2026-06-16T10:55:57.000Z",
      "commit": "24232c0e1f25f4c2525a2a71bfe9a1358232f339",
      "fileid": "https://r2.ropensci.org/fee3953128ab325a9dd3dfc6cbda5ddc43c7eb92020122a1d47509ff1a2f8d7a",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/stla/actions/runs/27612402163"
    },
    {
      "r": "4.6.0",
      "os": "win",
      "version": "1.0.0",
      "date": "2026-06-16T10:56:09.000Z",
      "commit": "24232c0e1f25f4c2525a2a71bfe9a1358232f339",
      "fileid": "https://r2.ropensci.org/b7346a1dd100958a71f6322f4af5f4732f09ae5abf8c895e5a106b754f5d1ff3",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/stla/actions/runs/27612402163"
    }
  ]
}