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  "Package": "mvp",
  "Type": "Package",
  "Title": "Fast Symbolic Multivariate Polynomials",
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  "Description": "Fast manipulation of symbolic multivariate polynomials\nusing the 'Map' class of the Standard Template Library.  The\npackage uses print and coercion methods from the 'mpoly'\npackage but offers speed improvements.  It is comparable in\nspeed to the 'spray' package for sparse arrays, but retains the\nsymbolic benefits of 'mpoly'.  To cite the package in\npublications, use Hankin 2022 <doi:10.48550/ARXIV.2210.15991>.\nUses 'disordR' discipline.",
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  "BugReports": "https://github.com/RobinHankin/mvp/issues",
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  "Author": "Robin K. S. Hankin [aut, cre] (ORCID:\n<https://orcid.org/0000-0001-5982-0415>)",
  "Repository": "https://cran.r-universe.dev",
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  "_topics": [
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  "_releases": [
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      "date": "2018-12-30"
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    },
    {
      "version": "1.0-2",
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    "aderiv",
    "aderiv.mvp",
    "all_equal_mvp",
    "all.equal",
    "allvars",
    "as.function.mvp",
    "as.mpoly.mvp",
    "as.mvp",
    "as.mvp.character",
    "as.mvp.list",
    "as.mvp.mpoly",
    "as.mvp.mvp",
    "as.mvp.numeric",
    "coeffs",
    "coeffs.mvp",
    "coeffs<-",
    "coeffs<-.mvp",
    "constant",
    "constant.mvp",
    "constant.numeric",
    "constant<-",
    "constant<-.mvp",
    "deriv",
    "deriv.mvp",
    "drop",
    "drop_mvp",
    "homog",
    "horner",
    "invert",
    "is_ok_mvp",
    "is.constant",
    "is.mvp",
    "is.zero",
    "is.zero.mvp",
    "kahle",
    "knight",
    "lapply",
    "laurent_factor",
    "linear",
    "mmvp",
    "mpoly_to_mvp",
    "mvp",
    "mvp_add",
    "mvp_deriv",
    "mvp_eq_mvp",
    "mvp_modulo",
    "mvp_negative",
    "mvp_plus_mvp",
    "mvp_plus_numeric",
    "mvp_power",
    "mvp_power_scalar",
    "mvp_prod",
    "mvp_reciprocal",
    "mvp_substitute",
    "mvp_substitute_mvp",
    "mvp_taylor_allvars",
    "mvp_taylor_onepower_onevar",
    "mvp_taylor_onevar",
    "mvp_times_mvp",
    "mvp_times_scalar",
    "mvp_to_series",
    "mvp_vectorised_substitute",
    "namechanger",
    "nterms",
    "numeric_to_mvp",
    "onevarpow",
    "ooom",
    "Ops.mvp",
    "powers",
    "print.mvp",
    "print.series",
    "print.summary.mvp",
    "product",
    "rhmvp",
    "rmvp",
    "rmvpp",
    "rmvppp",
    "rtypical",
    "series",
    "simplify",
    "sort",
    "subs",
    "subsmvp",
    "subvec",
    "summary.mvp",
    "taylor",
    "trunc",
    "trunc1",
    "truncall",
    "varchange",
    "varchange_formal",
    "vars",
    "xyz"
  ],
  "_datasets": [
    {
      "name": "a",
      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "b",
      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
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      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
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      "title": "Single-letter symbols",
      "object": "lettersymbols",
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      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
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      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "f",
      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
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      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
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      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
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      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
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      "fields": [],
      "table": true,
      "tojson": false
    },
    {
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      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
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      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
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      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
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      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
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      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
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      "table": true,
      "tojson": false
    },
    {
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      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
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      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
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      "title": "Single-letter symbols",
      "object": "lettersymbols",
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      "class": [
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    },
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      "title": "Single-letter symbols",
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      "tojson": false
    },
    {
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      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
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      ],
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      "table": true,
      "tojson": false
    },
    {
      "name": "r",
      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
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      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "t",
      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "u",
      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "v",
      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "w",
      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "x",
      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "y",
      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "z",
      "title": "Single-letter symbols",
      "object": "lettersymbols",
      "file": "lettersymbols.rda",
      "class": [
        "mvp"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    }
  ],
  "_help": [
    {
      "page": "mvp-package",
      "title": "Fast Symbolic Multivariate Polynomials",
      "topics": [
        "mvp-package"
      ]
    },
    {
      "page": "all.equal",
      "title": "Approximate equality of mvp objects",
      "topics": [
        "all.equal",
        "all.equal,ANY-method",
        "all.equal,mvp,ANY-method",
        "all.equal,mvp-method",
        "all.equal-methods",
        "all_equal_mvp"
      ]
    },
    {
      "page": "allvars",
      "title": "All variables in a multivariate polynomial",
      "topics": [
        "allvars"
      ]
    },
    {
      "page": "as.function",
      "title": "Functional form for multivariate polynomials",
      "topics": [
        "as.function.mvp"
      ]
    },
    {
      "page": "coeffs",
      "title": "Functionality for 'coeffs' objects",
      "topics": [
        "%~%",
        "accessors",
        "as_coeffs",
        "coefficients",
        "coeffs",
        "coeffs.mvp",
        "coeffs<-",
        "coeffs<-.mvp",
        "consistent",
        "hash",
        "is.coeffs",
        "Ops.coeffs",
        "Ops.mvp_coeffs",
        "powers",
        "print.coeffs",
        "print.mvp_coeffs",
        "vars"
      ]
    },
    {
      "page": "constant",
      "title": "The constant term",
      "topics": [
        "constant",
        "constant.mvp",
        "constant.numeric",
        "constant<-",
        "constant<-.mvp",
        "is.constant"
      ]
    },
    {
      "page": "deriv",
      "title": "Differentiation of 'mvp' objects",
      "topics": [
        "aderiv",
        "aderiv.mvp",
        "aderiv_mvp",
        "deriv",
        "deriv.mvp",
        "deriv_mvp"
      ]
    },
    {
      "page": "drop",
      "title": "Drop empty variables",
      "topics": [
        "drop",
        "drop,mvp-method",
        "drop_mvp",
        "lose",
        "lose.mvp"
      ]
    },
    {
      "page": "horner",
      "title": "Horner's method",
      "topics": [
        "horner"
      ]
    },
    {
      "page": "invert",
      "title": "Replace symbols with their reciprocals",
      "topics": [
        "invert"
      ]
    },
    {
      "page": "kahle",
      "title": "A sparse multivariate polynomial",
      "topics": [
        "kahle"
      ]
    },
    {
      "page": "knight",
      "title": "Chess knight",
      "topics": [
        "knight",
        "knight_mvp"
      ]
    },
    {
      "page": "laurent_factor",
      "title": "Laurent factor",
      "topics": [
        "laurent_factor"
      ]
    },
    {
      "page": "letters",
      "title": "Single-letter symbols",
      "topics": [
        "a",
        "b",
        "c",
        "d",
        "e",
        "f",
        "g",
        "h",
        "i",
        "j",
        "k",
        "l",
        "letters",
        "lettersymbols",
        "m",
        "n",
        "o",
        "p",
        "q",
        "r",
        "s",
        "t",
        "u",
        "v",
        "w",
        "x",
        "y",
        "z"
      ]
    },
    {
      "page": "lowlevel",
      "title": "Low level functions",
      "topics": [
        "lowlevel",
        "mvp_add",
        "mvp_deriv",
        "mvp_power",
        "mvp_prod",
        "mvp_substitute",
        "mvp_substitute_mvp",
        "mvp_vectorised_substitute",
        "mvp_vectorized_substitute",
        "simplify"
      ]
    },
    {
      "page": "mmvp",
      "title": "Spray-style specification of mvp objects",
      "topics": [
        "mmvp"
      ]
    },
    {
      "page": "mpoly",
      "title": "Conversion to and from mpoly form",
      "topics": [
        "as.mpoly.mvp",
        "mpoly",
        "mpoly_to_mvp",
        "mvp_to_mpoly"
      ]
    },
    {
      "page": "mvp",
      "title": "Multivariate polynomials, mvp objects",
      "topics": [
        "as.mvp",
        "as.mvp.character",
        "as.mvp.list",
        "as.mvp.mpoly",
        "as.mvp.mvp",
        "as.mvp.numeric",
        "is.mvp",
        "is_ok_mvp",
        "mvp",
        "mvp-class"
      ]
    },
    {
      "page": "ooom",
      "title": "One over one minus a multivariate polynomial",
      "topics": [
        "ooom"
      ]
    },
    {
      "page": "Ops.mvp",
      "title": "Arithmetic Ops Group Methods for 'mvp' objects",
      "topics": [
        "mvp_eq_mvp",
        "mvp_modulo",
        "mvp_negative",
        "mvp_plus_mvp",
        "mvp_plus_numeric",
        "mvp_plus_scalar",
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      "page": "print",
      "title": "Print methods for 'mvp' objects",
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    },
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      "page": "rmvp",
      "title": "Random multivariate polynomials",
      "topics": [
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      "title": "Decomposition of multivariate polynomials by powers",
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      "page": "special",
      "title": "Various functions to create simple multivariate polynomials",
      "topics": [
        "homog",
        "linear",
        "numeric_to_mvp",
        "product",
        "special",
        "xyz"
      ]
    },
    {
      "page": "subs",
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    {
      "page": "summary",
      "title": "Summary methods for mvp objects",
      "topics": [
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    {
      "page": "zero",
      "title": "The zero polynomial",
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  "_sysdeps": [
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      "package": "libstdc++6",
      "source": "gcc",
      "version": "16-20260322-1ubuntu1",
      "name": "c++",
      "homepage": "http://gcc.gnu.org/",
      "description": "GNU Standard C++ Library v3"
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  ],
  "_vignettes": [
    {
      "source": "mvp.Rmd",
      "filename": "mvp.html",
      "title": "The mvp package: fast multivariate polynomials in R",
      "author": "Robin K. S. Hankin",
      "engine": "knitr::rmarkdown",
      "headings": [
        "The STL map class",
        "The package in use",
        "Arithmetic operations",
        "Substitution",
        "Pipes",
        "Vectorised substitution",
        "Differentiation",
        "Taylor series",
        "Extraction",
        "Negative powers",
        "The disordR package",
        "Multivariate generating functions",
        "References"
      ],
      "created": "2018-12-30 15:40:03",
      "modified": "2026-06-29 14:31:29",
      "commits": 9
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