{
  "_id": "6ac9f3cefe5cc25786e833e7",
  "Package": "mathr",
  "Version": "0.1.5",
  "Title": "Scientific Computation Using R",
  "Description": "A collection of undergraduate level mathematical routines\nfor quantitative work, covering calculus, distribution\nfunctions, random variate generation, linear algebra,\ndifferential equations and optimization, sized for one\nsemester. The package is best studied with its source open:\nevery routine is short and written to be read.",
  "Authors@R": "person(\"Kyun-Seop\", \"Bae\", email = \"k@acr.kr\",\nrole = c(\"aut\", \"cre\"))",
  "Copyright": "2018-2026, Kyun-Seop Bae",
  "License": "GPL-3",
  "Encoding": "UTF-8",
  "NeedsCompilation": "no",
  "URL": "https://github.com/ksbae/mathr",
  "BugReports": "https://github.com/ksbae/mathr/issues",
  "Repository": "https://ksbae.r-universe.dev",
  "Date/Publication": "2026-10-10 06:15:24 UTC",
  "RemoteUrl": "https://github.com/ksbae/mathr",
  "RemoteRef": "HEAD",
  "RemoteSha": "a3d7e5ade86e824daccc22e48d5f5dcc1a632c1a",
  "Packaged": {
    "Date": "2026-10-10 07:49:24 UTC",
    "User": "root"
  },
  "Author": "Kyun-Seop Bae [aut, cre]",
  "Maintainer": "Kyun-Seop Bae <k@acr.kr>",
  "_user": "ksbae",
  "_type": "src",
  "_file": "mathr_0.1.5.tar.gz",
  "_fileid": "https://r2.ropensci.org/e017e90f4e2ac1047ba452c334cb59f06e1d2089e880e7fdb16271b99588a943",
  "_filesize": 370856,
  "_sha256": "e017e90f4e2ac1047ba452c334cb59f06e1d2089e880e7fdb16271b99588a943",
  "_expires": "2027-01-18T08:14:05.000Z",
  "_created": "2026-10-10T07:49:24.000Z",
  "_published": "2026-10-10T08:14:06.860Z",
  "_buildurl": "https://github.com/r-universe/ksbae/actions/runs/38035571923",
  "_status": "success",
  "_host": "GitHub-Actions",
  "_jobs": [
    {
      "job": 114165733141,
      "time": 94,
      "config": "linux-devel-x86_64",
      "r": "4.7.0",
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  "_upstream": "https://github.com/ksbae/mathr",
  "_commit": {
    "id": "a3d7e5ade86e824daccc22e48d5f5dcc1a632c1a",
    "author": "Kyun-Seop Bae <ksbae@acp.kr>",
    "committer": "Kyun-Seop Bae <ksbae@acp.kr>",
    "message": "Fix what a review of the tagged 0.1.5 found, before it goes to CRAN\n\nv0.1.5 was tagged but not yet submitted, so these go into 0.1.5 and the\ntag moves to this commit.\n\nAt a size of one: runifLC and SymInv were already fixed; LDLT and\nevJacobi on a 1 x 1 matrix and romb with N = 1 stopped with an error,\ntrapez0 on a single point returned NA, trapez1 with n = 1 returned three\ntimes the trapezoidal value (2:n added both end points again), and\nNashSVD on one column returned 0 as its singular value, having no pair\nof columns to rotate. At n = 0, Rnorm returned FALSE and Rgamma, Rgamma0\nand Rbeta one deviate for most shapes; all give numeric(0) now.\n\nHangs and crashes on valid input: SQRT(Inf) never returned, because\nNORM's halving loop cannot end on Inf, and NORM looped forever on any\nnegative x. SQRT(Inf) is Inf with the warning EXP and LOG give; NORM\nstops with a message on a non-finite x and gives a negative fraction\nfor a negative one. evJacobi stopped with \"object 's' not found\" on\nmatrices such as diag(c(2, 1)), testing the rotation sine on a pair\nthat needed no rotation. VMmin never returned when its direction right\nafter a reset was not downhill, as at a zero gradient: SmallXcount was\nmisspelt. Optim0 stopped on \"object 'RelStep' not found\" when it ended\non its first iteration, MachEps3 and MachEps4 on 'CurEps' at\nMaxIter = 0. Dec2Bin(0) returned NaN bits, and Run.test a p-value of 2\nwhen no nonzero value was left (now NA).\n\nGiven NA, EXP, LOG and SQRT stopped with R's generic missing-value\nerror, and SQRT did for NaN; they now return what exp, log and sqrt do.\n\nRmvn checks its n, which it hands to Rnorm, and trapez1 and romb check n\nand N, which the fixes above made drive an if: 142 argument positions\nacross 70 functions, each named on its help page.\n\nEvery fix has an assertion in tests/regression.R. Checked against\nindependent references, and about 49,000 cases that returned under the\ntagged build give identical() results, warnings and random draws.\nR CMD check",
    "time": 1791612924
  },
  "_maintainer": {
    "name": "Kyun-Seop Bae",
    "email": "k@acr.kr"
  },
  "_distro": "resolute",
  "_registered": true,
  "_dependencies": [
    {
      "package": "R",
      "version": ">= 3.0.0",
      "role": "Depends"
    }
  ],
  "_owner": "ksbae",
  "_selfowned": true,
  "_usedby": 0,
  "_updates": [
    {
      "week": "2026-36",
      "n": 9
    },
    {
      "week": "2026-37",
      "n": 2
    },
    {
      "week": "2026-38",
      "n": 9
    },
    {
      "week": "2026-41",
      "n": 5
    }
  ],
  "_tags": [
    {
      "name": "v0.1.0",
      "date": "2026-08-31"
    },
    {
      "name": "v0.1.1",
      "date": "2026-08-31"
    },
    {
      "name": "v0.1.2",
      "date": "2026-08-31"
    },
    {
      "name": "v0.1.3",
      "date": "2026-08-31"
    },
    {
      "name": "v0.1.4",
      "date": "2026-09-20"
    },
    {
      "name": "v0.1.5",
      "date": "2026-10-10"
    }
  ],
  "_stars": 0,
  "_contributors": [
    {
      "user": "ksbae",
      "count": 25,
      "uuid": 9764978
    }
  ],
  "_userbio": {
    "uuid": 9764978,
    "type": "user",
    "name": "Kyun-Seop Bae",
    "followers": 9,
    "description": "Professor of Clinical Pharmacology, Pharmacometrics, Modeling and Simulation, Clinical Trial Data Analysis"
  },
  "_downloads": {
    "count": 410,
    "source": "https://cranlogs.r-pkg.org/downloads/total/last-month/mathr"
  },
  "_devurl": "https://github.com/ksbae/mathr",
  "_searchresults": 14,
  "_rbuild": "4.6.1",
  "_assets": [
    "extra/citation.cff",
    "extra/citation.html",
    "extra/citation.json",
    "extra/citation.txt",
    "extra/contents.json",
    "extra/manual.pdf",
    "extra/mathr.html",
    "extra/NEWS.html",
    "extra/NEWS.txt",
    "extra/readme.html",
    "extra/readme.md"
  ],
  "_homeurl": "https://github.com/ksbae/mathr",
  "_realowner": "ksbae",
  "_cranurl": true,
  "_releases": [
    {
      "version": "0.1.3",
      "date": "2026-09-10"
    },
    {
      "version": "0.1.5",
      "date": "2026-10-10"
    }
  ],
  "_exports": [
    "betacf",
    "betai",
    "betaiapprox",
    "Bin2Dec",
    "ChkFx",
    "Chol",
    "Choose",
    "conv",
    "conv0",
    "Dbeta",
    "Dbinom",
    "dc",
    "Dchisq",
    "Dec2Bin",
    "deconv",
    "deconv0",
    "DENORM",
    "Deriv0",
    "Deriv1",
    "Deriv2",
    "Df",
    "Dgamma",
    "Dlnorm",
    "Dnorm",
    "Dpois",
    "Dt",
    "ellipRange",
    "ellipse",
    "erf",
    "erfc",
    "erfccheb",
    "evJacobi",
    "EXP",
    "GAMMA",
    "gammln",
    "gammp",
    "gammpapprox",
    "gammq",
    "gcf",
    "GenD",
    "GetP",
    "GQuad8",
    "Grad",
    "gser",
    "Hessian",
    "invbetai",
    "inverfc",
    "invgammp",
    "LDLT",
    "LGAMMA",
    "LOG",
    "MachEps",
    "MachEps2",
    "MachEps3",
    "MachEps4",
    "mlr",
    "NashSVD",
    "NORM",
    "Optim0",
    "OuterProd",
    "Pbeta",
    "Pbinom",
    "Pchisq",
    "Pf",
    "Pgamma",
    "Plnorm",
    "Pnorm",
    "PolyNom3",
    "Ppois",
    "Pt",
    "Qbeta",
    "Qbinom",
    "Qchisq",
    "Qf",
    "Qgamma",
    "Qlnorm",
    "Qnorm",
    "Qpois",
    "Qt",
    "Rbeta",
    "Rexp",
    "Rgamma",
    "Rgamma0",
    "RK4",
    "Rmvn",
    "Rnorm",
    "romb",
    "Round",
    "run.p",
    "Run.test",
    "runifLC",
    "sft",
    "simps13",
    "simps38",
    "SQRT",
    "SymDet",
    "SymInv",
    "SymSol",
    "tableFactorial",
    "trapez0",
    "trapez1",
    "VMmin"
  ],
  "_help": [
    {
      "page": "betai",
      "title": "Incomplete beta function",
      "topics": [
        "betai"
      ]
    },
    {
      "page": "Bin2Dec",
      "title": "Binary to Decimal Format",
      "topics": [
        "Bin2Dec"
      ]
    },
    {
      "page": "ChkFx",
      "title": "Check function input and output types",
      "topics": [
        "ChkFx"
      ]
    },
    {
      "page": "Chol",
      "title": "Cholesky Decomposition",
      "topics": [
        "Chol"
      ]
    },
    {
      "page": "Choose",
      "title": "Combination function",
      "topics": [
        "Choose"
      ]
    },
    {
      "page": "conv",
      "title": "Linear convolution using fft",
      "topics": [
        "conv"
      ]
    },
    {
      "page": "conv0",
      "title": "Circular convolution using fft",
      "topics": [
        "conv0"
      ]
    },
    {
      "page": "Dbeta",
      "title": "Density of beta distribution",
      "topics": [
        "Dbeta"
      ]
    },
    {
      "page": "Dbinom",
      "title": "Density of binomial distribution",
      "topics": [
        "Dbinom"
      ]
    },
    {
      "page": "dc",
      "title": "Deconvolution of two sequences at different time points",
      "topics": [
        "dc"
      ]
    },
    {
      "page": "Dchisq",
      "title": "Density of chi-square distribution",
      "topics": [
        "Dchisq"
      ]
    },
    {
      "page": "Dec2Bin",
      "title": "Decimal to Binary Format Vector",
      "topics": [
        "Dec2Bin"
      ]
    },
    {
      "page": "deconv",
      "title": "Linear deconvolution using fft",
      "topics": [
        "deconv"
      ]
    },
    {
      "page": "deconv0",
      "title": "Circular deconvolution using fft",
      "topics": [
        "deconv0"
      ]
    },
    {
      "page": "DENORM",
      "title": "Denormalize",
      "topics": [
        "DENORM"
      ]
    },
    {
      "page": "Deriv0",
      "title": "First derivative, version 0",
      "topics": [
        "Deriv0"
      ]
    },
    {
      "page": "Deriv1",
      "title": "First derivative, version 1",
      "topics": [
        "Deriv1"
      ]
    },
    {
      "page": "Deriv2",
      "title": "First derivative, version 2",
      "topics": [
        "Deriv2"
      ]
    },
    {
      "page": "Df",
      "title": "Density of F distribution",
      "topics": [
        "Df"
      ]
    },
    {
      "page": "Dgamma",
      "title": "Density of gamma distribution",
      "topics": [
        "Dgamma"
      ]
    },
    {
      "page": "Dlnorm",
      "title": "Density of log-normal distribution",
      "topics": [
        "Dlnorm"
      ]
    },
    {
      "page": "Dnorm",
      "title": "Density of normal distribution",
      "topics": [
        "Dnorm"
      ]
    },
    {
      "page": "Dpois",
      "title": "Density of Poisson distribution",
      "topics": [
        "Dpois"
      ]
    },
    {
      "page": "Dt",
      "title": "Density of t distribution",
      "topics": [
        "Dt"
      ]
    },
    {
      "page": "ellipRange",
      "title": "Ranges of an Ellipse",
      "topics": [
        "ellipRange"
      ]
    },
    {
      "page": "ellipse",
      "title": "Ellipse",
      "topics": [
        "ellipse"
      ]
    },
    {
      "page": "erf",
      "title": "Error function",
      "topics": [
        "erf"
      ]
    },
    {
      "page": "erfc",
      "title": "Complementary error function",
      "topics": [
        "erfc"
      ]
    },
    {
      "page": "erfccheb",
      "title": "Complementary error function, kept for compatibility",
      "topics": [
        "erfccheb"
      ]
    },
    {
      "page": "evJacobi",
      "title": "Spectral Decomposition of a Real Symmetric Matrix by Jacobi Algorithm",
      "topics": [
        "evJacobi"
      ]
    },
    {
      "page": "EXP",
      "title": "Exponential",
      "topics": [
        "EXP"
      ]
    },
    {
      "page": "GAMMA",
      "title": "Gamma Function",
      "topics": [
        "GAMMA"
      ]
    },
    {
      "page": "gammln",
      "title": "Log gamma function",
      "topics": [
        "gammln"
      ]
    },
    {
      "page": "gammp",
      "title": "Regularized lower incomplete gamma function P(a, x)",
      "topics": [
        "gammp"
      ]
    },
    {
      "page": "gammq",
      "title": "Regularized upper incomplete gamma function Q(a, x)",
      "topics": [
        "gammq"
      ]
    },
    {
      "page": "GenD",
      "title": "Get Hessian and Gradient",
      "topics": [
        "GenD"
      ]
    },
    {
      "page": "GetP",
      "title": "Get the Direction Vector",
      "topics": [
        "GetP"
      ]
    },
    {
      "page": "GQuad8",
      "title": "Integration using Gaussian quadrature",
      "topics": [
        "GQuad8"
      ]
    },
    {
      "page": "Grad",
      "title": "Gradient Calculation",
      "topics": [
        "Grad"
      ]
    },
    {
      "page": "Hessian",
      "title": "Hessian Calculation",
      "topics": [
        "Hessian"
      ]
    },
    {
      "page": "invbetai",
      "title": "Inverse of incomplete beta function",
      "topics": [
        "invbetai"
      ]
    },
    {
      "page": "inverfc",
      "title": "Inverse of complementary error function",
      "topics": [
        "inverfc"
      ]
    },
    {
      "page": "invgammp",
      "title": "Inverse of gammp function",
      "topics": [
        "invgammp"
      ]
    },
    {
      "page": "LDLT",
      "title": "LDL' Factorization",
      "topics": [
        "LDLT"
      ]
    },
    {
      "page": "LGAMMA",
      "title": "Natural Log Gamma Function",
      "topics": [
        "LGAMMA"
      ]
    },
    {
      "page": "LOG",
      "title": "Logarithm natural or common",
      "topics": [
        "LOG"
      ]
    },
    {
      "page": "MachEps",
      "title": "Get Machine Epsilon",
      "topics": [
        "MachEps"
      ]
    },
    {
      "page": "MachEps2",
      "title": "Get Epsilon a little more general than Machine Epsilon",
      "topics": [
        "MachEps2"
      ]
    },
    {
      "page": "MachEps3",
      "title": "Get Meticulous Positive Epsilon",
      "topics": [
        "MachEps3"
      ]
    },
    {
      "page": "MachEps4",
      "title": "Get Meticulous Negative Epsilon",
      "topics": [
        "MachEps4"
      ]
    },
    {
      "page": "mlr",
      "title": "Multiple Linear Regression",
      "topics": [
        "mlr"
      ]
    },
    {
      "page": "NashSVD",
      "title": "Singular Value Decomposition by Nash",
      "topics": [
        "NashSVD"
      ]
    },
    {
      "page": "NORM",
      "title": "Normalize",
      "topics": [
        "NORM"
      ]
    },
    {
      "page": "Optim0",
      "title": "Prototype of optimization function",
      "topics": [
        "Optim0"
      ]
    },
    {
      "page": "OuterProd",
      "title": "Outer product of two three-dimensional vectors",
      "topics": [
        "OuterProd"
      ]
    },
    {
      "page": "Pbeta",
      "title": "Cumulative probability of beta distribution",
      "topics": [
        "Pbeta"
      ]
    },
    {
      "page": "Pbinom",
      "title": "Cumulative probability of binomial distribution",
      "topics": [
        "Pbinom"
      ]
    },
    {
      "page": "Pchisq",
      "title": "Cumulative probability of chi-square distribution",
      "topics": [
        "Pchisq"
      ]
    },
    {
      "page": "Pf",
      "title": "Cumulative probability of F distribution",
      "topics": [
        "Pf"
      ]
    },
    {
      "page": "Pgamma",
      "title": "Cumulative probability of gamma distribution",
      "topics": [
        "Pgamma"
      ]
    },
    {
      "page": "Plnorm",
      "title": "Cumulative probability of log-normal distribution",
      "topics": [
        "Plnorm"
      ]
    },
    {
      "page": "Pnorm",
      "title": "Cumulative probability of normal distribution",
      "topics": [
        "Pnorm"
      ]
    },
    {
      "page": "PolyNom3",
      "title": "Approximation of pnorm using a polynomial equation",
      "topics": [
        "PolyNom3"
      ]
    },
    {
      "page": "Ppois",
      "title": "Cumulative probability of Poisson distribution",
      "topics": [
        "Ppois"
      ]
    },
    {
      "page": "Pt",
      "title": "Cumulative probability of t distribution",
      "topics": [
        "Pt"
      ]
    },
    {
      "page": "Qbeta",
      "title": "Reverse of Pbeta function",
      "topics": [
        "Qbeta"
      ]
    },
    {
      "page": "Qbinom",
      "title": "Reverse of Pbinom function",
      "topics": [
        "Qbinom"
      ]
    },
    {
      "page": "Qchisq",
      "title": "Reverse of Pchisq function",
      "topics": [
        "Qchisq"
      ]
    },
    {
      "page": "Qf",
      "title": "Reverse of Pf function",
      "topics": [
        "Qf"
      ]
    },
    {
      "page": "Qgamma",
      "title": "Reverse of Pgamma function",
      "topics": [
        "Qgamma"
      ]
    },
    {
      "page": "Qlnorm",
      "title": "Reverse of Plnorm function",
      "topics": [
        "Qlnorm"
      ]
    },
    {
      "page": "Qnorm",
      "title": "Reverse of Pnorm function",
      "topics": [
        "Qnorm"
      ]
    },
    {
      "page": "Qpois",
      "title": "Reverse of Ppois function",
      "topics": [
        "Qpois"
      ]
    },
    {
      "page": "Qt",
      "title": "Reverse of Pt function",
      "topics": [
        "Qt"
      ]
    },
    {
      "page": "Rbeta",
      "title": "Random deviate from beta distribution",
      "topics": [
        "Rbeta"
      ]
    },
    {
      "page": "Rexp",
      "title": "Random deviate from exponential distribution",
      "topics": [
        "Rexp"
      ]
    },
    {
      "page": "Rgamma",
      "title": "Random deviate from gamma distribution",
      "topics": [
        "Rgamma"
      ]
    },
    {
      "page": "Rgamma0",
      "title": "Random deviate from gamma distribution, simple method",
      "topics": [
        "Rgamma0"
      ]
    },
    {
      "page": "RK4",
      "title": "Runge-Kutta 4th Order Routine for Numerical Integration",
      "topics": [
        "RK4"
      ]
    },
    {
      "page": "Rmvn",
      "title": "Random deviate from multivariate normal distribution",
      "topics": [
        "Rmvn"
      ]
    },
    {
      "page": "Rnorm",
      "title": "Random deviate from normal distribution",
      "topics": [
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