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latex_svg_matplotlib.ipynb
{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"machine_shape": "hm",
"authorship_tag": "ABX9TyN8TUeB3JajGxVa/FBwSvAO",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/stwind/66545a6aa9ed7f9ea5f3dd4aedb65e48/latex_svg_matplotlib.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"source": [
"# https://tug.org/texlive/quickinstall.html\n",
"!wget -qc --show-progress https://mirror.ctan.org/systems/texlive/tlnet/install-tl-unx.tar.gz && tar -xzf install-tl-unx.tar.gz\n",
"# https://tug.org/texlive/doc/install-tl.html\n",
"!cd install-tl-2* && perl ./install-tl -no-gui -no-interaction -scheme scheme-minimal -no-doc-install -no-src-install -q"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "jFux9Cr34xb1",
"outputId": "be206498-94ba-47e4-d5e4-6d18e9c24709"
},
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"\rinstall-tl-unx.tar. 0%[ ] 0 --.-KB/s \rinstall-tl-unx.tar. 100%[===================>] 5.54M --.-KB/s in 0.07s \n",
"mktexlsr: Updating /usr/local/texlive/2025/texmf-dist/ls-R... \n",
"mktexlsr: Done.\n",
"mktexlsr: Updating /usr/local/texlive/2025/texmf-config/ls-R... \n",
"mktexlsr: Updating /usr/local/texlive/2025/texmf-dist/ls-R... \n",
"mktexlsr: Updating /usr/local/texlive/2025/texmf-var/ls-R... \n",
"mktexlsr: Done.\n",
"mktexlsr: Updating /usr/local/texlive/2025/texmf-config/ls-R... \n",
"mktexlsr: Updating /usr/local/texlive/2025/texmf-var/ls-R... \n",
"mktexlsr: Done.\n",
"\n",
"./install-tl: errors in installation reported above\n",
"\n",
" ----------------------------------------------------------------------\n",
" The following environment variables contain the string \"tex\"\n",
" (case-independent). If you're doing anything but adding personal\n",
" directories to the system paths, they may well cause trouble somewhere\n",
" while running TeX. If you encounter problems, try unsetting them.\n",
" \n",
" Please ignore spurious matches unrelated to TeX. (To omit this check,\n",
" set the environment variable TEXLIVE_INSTALL_ENV_NOCHECK.)\n",
"\n",
" COLAB_NOTEBOOK_ID=https://gist.github.com/stwind/66545a6aa9ed7f9ea5f3dd4aedb65e48#file-latex_svg_matplotlib-ipynb\n",
" ----------------------------------------------------------------------\n",
"\n",
"Logfile: /usr/local/texlive/2025/install-tl.log\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"!/usr/local/texlive/2025/bin/x86_64-linux/tlmgr install cm-super collection-latexextra dvipng dvisvgm kastrup newtx pxfonts tex-gyre-pagella newpx"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "QmrJgcGvc1jo",
"outputId": "690ba7f6-508f-4d3a-d4ab-ee7a4d95219a",
"collapsed": true
},
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"tlmgr: package repository https://ftp.snt.utwente.nl/pub/software/tex/systems/texlive/tlnet (verified)\n",
"tlmgr install: package tex-gyre-pagella not present in repository.\n",
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"[336/2093, 00:51/02:09] install: coseoul [1k]\n",
"[337/2093, 00:51/02:09] install: count1to [2k]\n",
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"[346/2093, 00:52/02:12] install: create-theorem [16k]\n",
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"[348/2093, 00:53/02:14] install: crefthe [5k]\n",
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"[351/2093, 00:53/02:14] install: crossreftools [4k]\n",
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"[370/2093, 00:56/02:21] install: cweb-latex [36k]\n",
"[371/2093, 00:56/02:21] install: cyber [4k]\n",
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"[427/2093, 01:04/02:41] install: datetime2-ukrainian [4k]\n",
"[428/2093, 01:04/02:41] install: datetime2-usorbian [3k]\n",
"[429/2093, 01:04/02:41] install: datetime2-welsh [3k]\n",
"[430/2093, 01:04/02:41] install: dblfloatfix [3k]\n",
"[431/2093, 01:04/02:41] install: dbshow [7k]\n",
"[432/2093, 01:04/02:41] install: dcpic [14k]\n",
"[433/2093, 01:05/02:43] install: debate [2k]\n",
"[434/2093, 01:05/02:43] install: decimal [2k]\n",
"[435/2093, 01:05/02:43] install: decimalcomma [2k]\n",
"[436/2093, 01:05/02:43] install: decorule [2k]\n",
"[437/2093, 01:05/02:43] install: defoldfonts [2k]\n",
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"[439/2093, 01:06/02:46] install: democodetools [8k]\n",
"[440/2093, 01:06/02:46] install: denisbdoc [16k]\n",
"[441/2093, 01:06/02:46] install: diabetes-logbook [7k]\n",
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"[456/2093, 01:08/02:50] install: doc-pictex [1k]\n",
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"[471/2093, 01:10/02:55] install: download [2k]\n",
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"[555/2093, 01:23/03:17] install: epspdf.x86_64-linux [1k]\n",
"[556/2093, 01:24/03:19] install: epspdf [32k]\n",
"[557/2093, 01:24/03:19] install: epspdfconversion [4k]\n",
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"[588/2093, 01:28/03:28] install: euromoney [2322k]\n",
"[589/2093, 01:29/03:24] install: europasscv [30k]\n",
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"[595/2093, 01:30/03:26] install: exam [50k]\n",
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"[603/2093, 01:31/03:28] install: exceltex.x86_64-linux [1k]\n",
"[604/2093, 01:31/03:28] install: exceltex [7k]\n",
"[605/2093, 01:31/03:28] install: excludeonly [2k]\n",
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"[608/2093, 01:32/03:30] install: exercisepoints [4k]\n",
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"[614/2093, 01:33/03:32] install: expdlist [3k]\n",
"[615/2093, 01:33/03:32] install: export [7k]\n",
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"[617/2093, 01:33/03:32] install: exsol [4k]\n",
"[618/2093, 01:33/03:32] install: extract [5k]\n",
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"[635/2093, 01:36/03:39] install: fancytabs [2k]\n",
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"[642/2093, 01:37/03:41] install: fetchcls [2k]\n",
"[643/2093, 01:37/03:41] install: fewerfloatpages [3k]\n",
"[644/2093, 01:37/03:41] install: ffcode [3k]\n",
"[645/2093, 01:37/03:41] install: ffslides [5k]\n",
"[646/2093, 01:37/03:41] install: fgruler [6k]\n",
"[647/2093, 01:38/03:43] install: fifo-stack [3k]\n",
"[648/2093, 01:38/03:43] install: fig4latex.x86_64-linux [1k]\n",
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"[650/2093, 01:38/03:43] install: figchild [284k]\n",
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"[660/2093, 01:40/03:47] install: fillpages [3k]\n",
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"[672/2093, 01:42/03:49] install: fixmetodonotes [2k]\n",
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"[677/2093, 01:42/03:49] install: flashcards [4k]\n",
"[678/2093, 01:42/03:49] install: flashmovie [20k]\n",
"[679/2093, 01:43/03:51] install: flexipage [4k]\n",
"[680/2093, 01:43/03:51] install: flipbook [2k]\n",
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"[682/2093, 01:43/03:51] install: float [3k]\n",
"[683/2093, 01:43/03:51] install: floatbytocbasic [2k]\n",
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"[687/2093, 01:44/03:53] install: flowchart [3k]\n",
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"[700/2093, 01:46/03:57] install: fontawesome5 [847k]\n",
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"[730/2093, 01:51/04:05] install: fullblck [2k]\n",
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"[734/2093, 01:51/04:05] install: fundus-calligra [2k]\n",
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"[736/2093, 01:52/04:07] install: fundus-sueterlin [2k]\n",
"[737/2093, 01:52/04:07] install: fvextra [17k]\n",
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"[741/2093, 01:52/04:07] install: gauss [17k]\n",
"[742/2093, 01:53/04:09] install: gcard [2k]\n",
"[743/2093, 01:53/04:09] install: gcite [2k]\n",
"[744/2093, 01:53/04:09] install: gender [2k]\n",
"[745/2093, 01:53/04:09] install: genealogy-profiles [7k]\n",
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"[750/2093, 01:54/04:11] install: getfiledate [3k]\n",
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"[754/2093, 01:54/04:11] install: gettitlestring [3k]\n",
"[755/2093, 01:55/04:13] install: gincltex [2k]\n",
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"[757/2093, 01:55/04:13] install: ginpenc [3k]\n",
"[758/2093, 01:55/04:13] install: gitfile-info [3k]\n",
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"[764/2093, 01:56/04:15] install: globalvals [2k]\n",
"[765/2093, 01:56/04:15] install: gloss [5k]\n",
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"[767/2093, 01:57/04:17] install: glossaries [105k]\n",
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"[1422/2093, 03:56/04:29] install: pictex [41k]\n",
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"[1424/2093, 03:57/04:30] install: pictochrono [2k]\n",
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"[1427/2093, 03:57/04:30] install: pinlabel [11k]\n",
"[1428/2093, 03:57/04:30] install: pixelart [7k]\n",
"[1429/2093, 03:58/04:31] install: pixelarttikz [6k]\n",
"[1430/2093, 03:58/04:31] install: pkgloader [11k]\n",
"[1431/2093, 03:58/04:31] install: placeins [3k]\n",
"[1432/2093, 03:58/04:31] install: plantslabels [2k]\n",
"[1433/2093, 03:58/04:31] install: plates [6k]\n",
"[1434/2093, 03:59/04:32] install: plweb [4k]\n",
"[1435/2093, 03:59/04:32] install: pmboxdraw [8k]\n",
"[1436/2093, 03:59/04:32] install: pmgraph [10k]\n",
"[1437/2093, 03:59/04:32] install: polyglossia [122k]\n",
"[1438/2093, 03:59/04:32] install: polyhedra [4k]\n",
"[1439/2093, 04:00/04:33] install: polynom [11k]\n",
"[1440/2093, 04:00/04:33] install: polynomial [3k]\n",
"[1441/2093, 04:00/04:33] install: polyomino [3k]\n",
"[1442/2093, 04:00/04:33] install: polytable [7k]\n",
"[1443/2093, 04:00/04:33] install: postage [2k]\n",
"[1444/2093, 04:00/04:33] install: postcards [2k]\n",
"[1445/2093, 04:01/04:34] install: poster-mac [4k]\n",
"[1446/2093, 04:01/04:34] install: postit [5k]\n",
"[1447/2093, 04:01/04:34] install: postnotes [11k]\n",
"[1448/2093, 04:01/04:34] install: powerdot [26k]\n",
"[1449/2093, 04:01/04:34] install: ppr-prv [6k]\n",
"[1450/2093, 04:02/04:35] install: ppt-slides [5k]\n",
"[1451/2093, 04:02/04:35] install: practicalreports [2k]\n",
"[1452/2093, 04:02/04:35] install: precattl [4k]\n",
"[1453/2093, 04:02/04:35] install: prelim2e [2k]\n",
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"[1456/2093, 04:03/04:36] install: pressrelease [4k]\n",
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"[1458/2093, 04:03/04:36] install: prettytok [6k]\n",
"[1459/2093, 04:03/04:36] install: preview [7k]\n",
"[1460/2093, 04:03/04:36] install: printlen [2k]\n",
"[1461/2093, 04:04/04:37] install: prisma-flow-diagram [2k]\n",
"[1462/2093, 04:04/04:37] install: probsoln [7k]\n",
"[1463/2093, 04:04/04:37] install: productbox [5k]\n",
"[1464/2093, 04:04/04:37] install: profmaquette [34k]\n",
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"[1466/2093, 04:05/04:39] install: progress [5k]\n",
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"[1469/2093, 04:05/04:38] install: pronunciation [145k]\n",
"[1470/2093, 04:05/04:38] install: proofread [3k]\n",
"[1471/2093, 04:06/04:39] install: properties [2k]\n",
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"[1477/2093, 04:07/04:40] install: pslatex [6k]\n",
"[1478/2093, 04:07/04:40] install: psnfss [12k]\n",
"[1479/2093, 04:07/04:40] install: pspicture [2k]\n",
"[1480/2093, 04:07/04:40] install: pstool [7k]\n",
"[1481/2093, 04:07/04:40] install: pstring [8k]\n",
"[1482/2093, 04:08/04:41] install: ptolemaicastronomy [2k]\n",
"[1483/2093, 04:08/04:41] install: puyotikz [4k]\n",
"[1484/2093, 04:08/04:41] install: pxfonts [450k]\n",
"[1485/2093, 04:08/04:40] install: pxgreeks [3k]\n",
"[1486/2093, 04:08/04:40] install: pxpgfmark [1k]\n",
"[1487/2093, 04:09/04:42] install: pxpic [4k]\n",
"[1488/2093, 04:09/04:42] install: pygmentex.x86_64-linux [1k]\n",
"[1489/2093, 04:09/04:42] install: pygmentex [8k]\n",
"[1490/2093, 04:09/04:42] install: pynotebook [4k]\n",
"[1491/2093, 04:09/04:42] install: python [2k]\n",
"[1492/2093, 04:10/04:43] install: pythonimmediate [5k]\n",
"[1493/2093, 04:10/04:43] install: q-and-a [10k]\n",
"[1494/2093, 04:10/04:43] install: qcircuit [5k]\n",
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"[1496/2093, 04:10/04:43] install: qrcode [20k]\n",
"[1497/2093, 04:10/04:43] install: qrcodetikz [4k]\n",
"[1498/2093, 04:11/04:44] install: qstest [5k]\n",
"[1499/2093, 04:11/04:44] install: qsymbols [8k]\n",
"[1500/2093, 04:11/04:44] install: quicktype [2k]\n",
"[1501/2093, 04:11/04:44] install: quiz2socrative [3k]\n",
"[1502/2093, 04:11/04:44] install: quotchap [3k]\n",
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"[1505/2093, 04:12/04:45] install: ragged2e [3k]\n",
"[1506/2093, 04:12/04:45] install: rainbowbrackets [4k]\n",
"[1507/2093, 04:12/04:45] install: ran_toks [6k]\n",
"[1508/2093, 04:12/04:45] install: randbild [2k]\n",
"[1509/2093, 04:13/04:46] install: randexam [12k]\n",
"[1510/2093, 04:13/04:46] install: randintlist [3k]\n",
"[1511/2093, 04:13/04:46] install: randomwalk [3k]\n",
"[1512/2093, 04:13/04:46] install: randtext [3k]\n",
"[1513/2093, 04:13/04:46] install: rccol [3k]\n",
"[1514/2093, 04:14/04:47] install: rcs [13k]\n",
"[1515/2093, 04:14/04:47] install: rcs-multi [3k]\n",
"[1516/2093, 04:14/04:47] install: rcsinfo [4k]\n",
"[1517/2093, 04:14/04:47] install: readablecv [4k]\n",
"[1518/2093, 04:14/04:47] install: readarray [6k]\n",
"[1519/2093, 04:15/04:48] install: realboxes [3k]\n",
"[1520/2093, 04:15/04:48] install: realhats [1741k]\n",
"[1521/2093, 04:15/04:45] install: recipe [2k]\n",
"[1522/2093, 04:15/04:45] install: recipebook [4k]\n",
"[1523/2093, 04:15/04:45] install: recipecard [3k]\n",
"[1524/2093, 04:16/04:46] install: rectopma [1k]\n",
"[1525/2093, 04:16/04:46] install: refcheck [4k]\n",
"[1526/2093, 04:16/04:46] install: refcount [3k]\n",
"[1527/2093, 04:16/04:46] install: refenums [3k]\n",
"[1528/2093, 04:16/04:46] install: reflectgraphics [3k]\n",
"[1529/2093, 04:17/04:47] install: refman [10k]\n",
"[1530/2093, 04:17/04:47] install: refstyle [6k]\n",
"[1531/2093, 04:17/04:47] install: regcount [2k]\n",
"[1532/2093, 04:17/04:47] install: regexpatch [4k]\n",
"[1533/2093, 04:17/04:47] install: register [5k]\n",
"[1534/2093, 04:18/04:48] install: regstats [4k]\n",
"[1535/2093, 04:18/04:48] install: relenc [11k]\n",
"[1536/2093, 04:18/04:48] install: relsize [6k]\n",
"[1537/2093, 04:18/04:48] install: reotex [5k]\n",
"[1538/2093, 04:18/04:48] install: repeatindex [2k]\n",
"[1539/2093, 04:18/04:48] install: repltext [2k]\n",
"[1540/2093, 04:19/04:49] install: rerunfilecheck [4k]\n",
"[1541/2093, 04:19/04:49] install: rescansync [3k]\n",
"[1542/2093, 04:19/04:49] install: resmes [1k]\n",
"[1543/2093, 04:19/04:49] install: responsive [5k]\n",
"[1544/2093, 04:19/04:49] install: returntogrid [4k]\n",
"[1545/2093, 04:20/04:50] install: rgltxdoc [4k]\n",
"[1546/2093, 04:20/04:50] install: rjlparshap [2k]\n",
"[1547/2093, 04:20/04:50] install: rlepsf [3k]\n",
"[1548/2093, 04:20/04:50] install: rmpage [61k]\n",
"[1549/2093, 04:20/04:50] install: robotarm [3k]\n",
"[1550/2093, 04:20/04:50] install: robust-externalize [37k]\n",
"[1551/2093, 04:21/04:51] install: robustcommand [2k]\n",
"[1552/2093, 04:21/04:51] install: robustindex [5k]\n",
"[1553/2093, 04:21/04:51] install: romanbar [3k]\n",
"[1554/2093, 04:21/04:51] install: romanbarpagenumber [1k]\n",
"[1555/2093, 04:21/04:51] install: romanneg [2k]\n",
"[1556/2093, 04:22/04:52] install: romannum [2k]\n",
"[1557/2093, 04:22/04:52] install: rorlink [3k]\n",
"[1558/2093, 04:22/04:52] install: rotfloat [2k]\n",
"[1559/2093, 04:22/04:52] install: rotpages [3k]\n",
"[1560/2093, 04:22/04:52] install: roundbox [2k]\n",
"[1561/2093, 04:23/04:53] install: rterface [2k]\n",
"[1562/2093, 04:23/04:53] install: rtkinenc [3k]\n",
"[1563/2093, 04:23/04:53] install: rulerbox [2k]\n",
"[1564/2093, 04:23/04:53] install: rulercompass [4k]\n",
"[1565/2093, 04:23/04:53] install: runcode [6k]\n",
"[1566/2093, 04:23/04:53] install: rviewport [2k]\n",
"[1567/2093, 04:24/04:54] install: rvwrite [2k]\n",
"[1568/2093, 04:24/04:54] install: sa-tikz [6k]\n",
"[1569/2093, 04:24/04:54] install: sacsymb [2k]\n",
"[1570/2093, 04:24/04:54] install: sanitize-umlaut [3k]\n",
"[1571/2093, 04:24/04:54] install: sansmath [4k]\n",
"[1572/2093, 04:25/04:56] install: sauerj [5k]\n",
"[1573/2093, 04:25/04:56] install: saveenv [3k]\n",
"[1574/2093, 04:25/04:56] install: savefnmark [2k]\n",
"[1575/2093, 04:25/04:56] install: savesym [2k]\n",
"[1576/2093, 04:25/04:56] install: savetrees [9k]\n",
"[1577/2093, 04:25/04:56] install: scale [2k]\n",
"[1578/2093, 04:26/04:57] install: scalebar [2k]\n",
"[1579/2093, 04:26/04:57] install: scalerel [3k]\n",
"[1580/2093, 04:26/04:57] install: scaletextbullet [3k]\n",
"[1581/2093, 04:26/04:57] install: scanpages [5k]\n",
"[1582/2093, 04:26/04:57] install: schedule [5k]\n",
"[1583/2093, 04:27/04:58] install: schemabloc [3k]\n",
"[1584/2093, 04:27/04:58] install: schooldocs [4k]\n",
"[1585/2093, 04:27/04:58] install: scontents [10k]\n",
"[1586/2093, 04:27/04:58] install: scrambledenvs [3k]\n",
"[1587/2093, 04:27/04:58] install: scratch [9k]\n",
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"[1589/2093, 04:28/04:59] install: scrhack [10k]\n",
"[1590/2093, 04:28/04:59] install: scrlayer-fancyhdr [2k]\n",
"[1591/2093, 04:28/04:59] install: scrlttr2copy [2k]\n",
"[1592/2093, 04:28/04:59] install: scrwfile [3k]\n",
"[1593/2093, 04:28/04:59] install: scsnowman [7k]\n",
"[1594/2093, 04:29/05:00] install: sdaps [32k]\n",
"[1595/2093, 04:29/05:00] install: sdrt [3k]\n",
"[1596/2093, 04:29/05:00] install: secdot [2k]\n",
"[1597/2093, 04:29/05:00] install: secnum [3k]\n",
"[1598/2093, 04:29/05:00] install: section [10k]\n",
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"[1602/2093, 04:30/05:01] install: seealso [3k]\n",
"[1603/2093, 04:30/05:01] install: selectp [5k]\n",
"[1604/2093, 04:30/05:01] install: selinput [3k]\n",
"[1605/2093, 04:31/05:02] install: semantex [26k]\n",
"[1606/2093, 04:31/05:02] install: semantic [7k]\n",
"[1607/2093, 04:31/05:02] install: semantic-markup [3k]\n",
"[1608/2093, 04:31/05:02] install: semesterplanner [2k]\n",
"[1609/2093, 04:31/05:02] install: seminar [30k]\n",
"[1610/2093, 04:32/05:03] install: semioneside [2k]\n",
"[1611/2093, 04:32/05:03] install: semproc [3k]\n",
"[1612/2093, 04:32/05:03] install: semtex [2k]\n",
"[1613/2093, 04:32/05:03] install: sepfootnotes [3k]\n",
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"[1615/2093, 04:33/05:04] install: seqsplit [2k]\n",
"[1616/2093, 04:33/05:04] install: sesstime [4k]\n",
"[1617/2093, 04:33/05:04] install: setdeck [3k]\n",
"[1618/2093, 04:33/05:04] install: setspace [8k]\n",
"[1619/2093, 04:33/05:04] install: setspaceenhanced [2k]\n",
"[1620/2093, 04:33/05:04] install: sf298 [7k]\n",
"[1621/2093, 04:34/05:05] install: sffms [4k]\n",
"[1622/2093, 04:34/05:05] install: sfmath [5k]\n",
"[1623/2093, 04:34/05:05] install: shadethm [8k]\n",
"[1624/2093, 04:34/05:05] install: shadow [2k]\n",
"[1625/2093, 04:34/05:05] install: shadowtext [2k]\n",
"[1626/2093, 04:35/05:06] install: shapepar [16k]\n",
"[1627/2093, 04:35/05:06] install: shdoc [3k]\n",
"[1628/2093, 04:35/05:06] install: shipunov [20k]\n",
"[1629/2093, 04:35/05:06] install: shorttoc [2k]\n",
"[1630/2093, 04:35/05:06] install: show2e [2k]\n",
"[1631/2093, 04:35/05:06] install: showcharinbox [2k]\n",
"[1632/2093, 04:36/05:07] install: showdim [2k]\n",
"[1633/2093, 04:36/05:07] install: showexpl [5k]\n",
"[1634/2093, 04:36/05:07] install: showlabels [4k]\n",
"[1635/2093, 04:36/05:07] install: sidecap [4k]\n",
"[1636/2093, 04:36/05:07] install: sidenotes [5k]\n",
"[1637/2093, 04:37/05:08] install: sidenotesplus [6k]\n",
"[1638/2093, 04:37/05:08] install: signchart [2k]\n",
"[1639/2093, 04:37/05:08] install: silence [4k]\n",
"[1640/2093, 04:37/05:08] install: sillypage [17k]\n",
"[1641/2093, 04:37/05:08] install: sim-os-menus [7k]\n",
"[1642/2093, 04:38/05:09] install: simplecd [7k]\n",
"[1643/2093, 04:38/05:09] install: simplecv [3k]\n",
"[1644/2093, 04:38/05:09] install: simpleinvoice [3k]\n",
"[1645/2093, 04:38/05:09] install: simplenodes [3k]\n",
"[1646/2093, 04:38/05:09] install: simpleoptics [2k]\n",
"[1647/2093, 04:39/05:10] install: simplivre [6k]\n",
"[1648/2093, 04:39/05:10] install: sitem [1k]\n",
"[1649/2093, 04:39/05:10] install: siunitx [68k]\n",
"[1650/2093, 04:39/05:10] install: skb [7k]\n",
"[1651/2093, 04:39/05:10] install: skdoc [10k]\n",
"[1652/2093, 04:40/05:11] install: skeldoc [7k]\n",
"[1653/2093, 04:40/05:11] install: skeycommand [5k]\n",
"[1654/2093, 04:40/05:11] install: skeyval [97k]\n",
"[1655/2093, 04:40/05:11] install: skills [4k]\n",
"[1656/2093, 04:40/05:11] install: skrapport [13k]\n",
"[1657/2093, 04:41/05:12] install: slantsc [2k]\n",
"[1658/2093, 04:41/05:12] install: smalltableof [1k]\n",
"[1659/2093, 04:41/05:12] install: smart-eqn [3k]\n",
"[1660/2093, 04:41/05:12] install: smartdiagram [7k]\n",
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"[1662/2093, 04:41/05:12] install: smartunits [4k]\n",
"[1663/2093, 04:42/05:13] install: snapshot [6k]\n",
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"[1666/2093, 04:42/05:13] install: soul [9k]\n",
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"[1668/2093, 04:43/05:14] install: spacingtricks [2k]\n",
"[1669/2093, 04:43/05:14] install: spark-otf [171k]\n",
"[1670/2093, 04:43/05:14] install: sparklines [3k]\n",
"[1671/2093, 04:43/05:14] install: spath3 [26k]\n",
"[1672/2093, 04:43/05:14] install: spectralsequences [71k]\n",
"[1673/2093, 04:44/05:15] install: spelatex [5k]\n",
"[1674/2093, 04:44/05:15] install: sphack [3k]\n",
"[1675/2093, 04:44/05:15] install: splitindex.x86_64-linux [1k]\n",
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"[1677/2093, 04:44/05:15] install: spot [3k]\n",
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"[1681/2093, 04:45/05:16] install: srbook-mem [2k]\n",
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"[1685/2093, 04:46/05:17] install: stack [2k]\n",
"[1686/2093, 04:46/05:17] install: stackengine [6k]\n",
"[1687/2093, 04:46/05:17] install: standalone [13k]\n",
"[1688/2093, 04:47/05:18] install: standardsectioning [3k]\n",
"[1689/2093, 04:47/05:18] install: starray [10k]\n",
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"[1692/2093, 04:47/05:18] install: stealcaps [2k]\n",
"[1693/2093, 04:48/05:19] install: stex [89k]\n",
"[1694/2093, 04:48/05:19] install: stocksize [2k]\n",
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"[1697/2093, 04:48/05:19] install: strands [8k]\n",
"[1698/2093, 04:49/05:20] install: stringenc [23k]\n",
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"[1700/2093, 04:49/05:20] install: sttools [13k]\n",
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"[1702/2093, 04:49/05:20] install: studenthandouts [5k]\n",
"[1703/2093, 04:50/05:21] install: styledcmd [3k]\n",
"[1704/2093, 04:50/05:21] install: subdepth [2k]\n",
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"[1706/2093, 04:50/05:21] install: subeqn [2k]\n",
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"[1712/2093, 04:51/05:22] install: subfloat [2k]\n",
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"[2000/2093, 05:50/05:57] install: vwcol [4k]\n",
"[2001/2093, 05:50/05:57] install: wallcalendar [26k]\n",
"[2002/2093, 05:50/05:56] install: wallpaper [2k]\n",
"[2003/2093, 05:50/05:56] install: warning [2k]\n",
"[2004/2093, 05:50/05:56] install: warpcol [2k]\n",
"[2005/2093, 05:51/05:58] install: was [2k]\n",
"[2006/2093, 05:51/05:57] install: webquiz.x86_64-linux [1k]\n",
"[2007/2093, 05:51/05:57] install: webquiz [47k]\n",
"[2008/2093, 05:51/05:57] install: whatsnote [6k]\n",
"[2009/2093, 05:51/05:57] install: wheelchart [18k]\n",
"[2010/2093, 05:52/05:58] install: widetable [2k]\n",
"[2011/2093, 05:52/05:58] install: widows-and-orphans [3k]\n",
"[2012/2093, 05:52/05:58] install: williams [3k]\n",
"[2013/2093, 05:52/05:58] install: willowtreebook [7k]\n",
"[2014/2093, 05:52/05:58] install: withargs [6k]\n",
"[2015/2093, 05:53/05:59] install: wordcloud [7k]\n",
"[2016/2093, 05:53/05:59] install: wordcount.x86_64-linux [1k]\n",
"[2017/2093, 05:53/05:59] install: wordcount [5k]\n",
"[2018/2093, 05:53/05:59] install: wordlike [2k]\n",
"[2019/2093, 05:53/05:59] install: worksheet [4k]\n",
"[2020/2093, 05:54/06:00] install: worldflags [2027k]\n",
"[2021/2093, 05:54/05:56] install: wrapfig [10k]\n",
"[2022/2093, 05:54/05:56] install: wrapfig2 [7k]\n",
"[2023/2093, 05:55/05:57] install: wrapstuff [12k]\n",
"[2024/2093, 05:55/05:57] install: writeongrid [6k]\n",
"[2025/2093, 05:55/05:57] install: wtref [3k]\n",
"[2026/2093, 05:55/05:57] install: xargs [4k]\n",
"[2027/2093, 05:55/05:57] install: xassoccnt [20k]\n",
"[2028/2093, 05:56/05:58] install: xbmks [5k]\n",
"[2029/2093, 05:56/05:58] install: xcntperchap [4k]\n",
"[2030/2093, 05:56/05:58] install: xcolor [18k]\n",
"[2031/2093, 05:56/05:58] install: xcolor-material [5k]\n",
"[2032/2093, 05:56/05:58] install: xcolor-solarized [2k]\n",
"[2033/2093, 05:57/05:59] install: xcomment [3k]\n",
"[2034/2093, 05:57/05:59] install: xcookybooky [7k]\n",
"[2035/2093, 05:57/05:59] install: xcpdftips [4k]\n",
"[2036/2093, 05:57/05:59] install: xdoc [12k]\n",
"[2037/2093, 05:57/05:59] install: xellipsis [2k]\n",
"[2038/2093, 05:58/06:00] install: xfakebold [2k]\n",
"[2039/2093, 05:58/06:00] install: xfor [2k]\n",
"[2040/2093, 05:58/06:00] install: xfrac [4k]\n",
"[2041/2093, 05:58/06:00] install: xhfill [2k]\n",
"[2042/2093, 05:58/06:00] install: xifthen [3k]\n",
"[2043/2093, 05:59/06:01] install: ximera [15k]\n",
"[2044/2093, 05:59/06:01] install: xint [80k]\n",
"[2045/2093, 05:59/06:01] install: xint-regression [4k]\n",
"[2046/2093, 05:59/06:01] install: xistercian [5k]\n",
"[2047/2093, 05:59/06:01] install: xkcdcolors [9k]\n",
"[2048/2093, 06:00/06:02] install: xkeymask [2k]\n",
"[2049/2093, 06:00/06:02] install: xkeyval [9k]\n",
"[2050/2093, 06:00/06:02] install: xltabular [3k]\n",
"[2051/2093, 06:00/06:02] install: xltxtra [3k]\n",
"[2052/2093, 06:00/06:02] install: xmpincl [2k]\n",
"[2053/2093, 06:01/06:03] install: xnewcommand [1k]\n",
"[2054/2093, 06:01/06:03] install: xoptarg [2k]\n",
"[2055/2093, 06:01/06:03] install: xpatch [2k]\n",
"[2056/2093, 06:01/06:03] install: xpeek [2k]\n",
"[2057/2093, 06:01/06:03] install: xpicture [9k]\n",
"[2058/2093, 06:02/06:04] install: xprintlen [2k]\n",
"[2059/2093, 06:02/06:04] install: xpunctuate [2k]\n",
"[2060/2093, 06:02/06:04] install: xreview [2k]\n",
"[2061/2093, 06:02/06:04] install: xsavebox [5k]\n",
"[2062/2093, 06:02/06:04] install: xsim [32k]\n",
"[2063/2093, 06:03/06:04] install: xsipa [5k]\n",
"[2064/2093, 06:03/06:04] install: xstring [12k]\n",
"[2065/2093, 06:03/06:04] install: xtab [5k]\n",
"[2066/2093, 06:03/06:04] install: xunicode [26k]\n",
"[2067/2093, 06:03/06:04] install: xurl [2k]\n",
"[2068/2093, 06:04/06:05] install: xwatermark [17k]\n",
"[2069/2093, 06:04/06:05] install: xypic [694k]\n",
"[2070/2093, 06:04/06:04] install: xytree [4k]\n",
"[2071/2093, 06:04/06:04] install: yafoot [4k]\n",
"[2072/2093, 06:05/06:05] install: yagusylo [6k]\n",
"[2073/2093, 06:05/06:05] install: yaletter [4k]\n",
"[2074/2093, 06:05/06:05] install: ycbook [5k]\n",
"[2075/2093, 06:05/06:05] install: ydoc [10k]\n",
"[2076/2093, 06:05/06:05] install: yplan.x86_64-linux [1k]\n",
"[2077/2093, 06:06/06:06] install: yplan [7k]\n",
"[2078/2093, 06:06/06:06] install: zapfding [46k]\n",
"[2079/2093, 06:06/06:06] install: zebra-goodies [3k]\n",
"[2080/2093, 06:06/06:06] install: zed-csp [8k]\n",
"[2081/2093, 06:06/06:06] install: zennote [2k]\n",
"[2082/2093, 06:07/06:07] install: ziffer [2k]\n",
"[2083/2093, 06:07/06:07] install: zref [15k]\n",
"[2084/2093, 06:07/06:07] install: zref-check [6k]\n",
"[2085/2093, 06:07/06:07] install: zref-clever [26k]\n",
"[2086/2093, 06:08/06:08] install: zref-vario [5k]\n",
"[2087/2093, 06:08/06:08] install: zugferd [13k]\n",
"[2088/2093, 06:08/06:08] install: zwgetfdate [2k]\n",
"[2089/2093, 06:08/06:08] install: zwpagelayout [9k]\n",
"[2090/2093, 06:08/06:08] install: collection-latex [1k]\n",
"[2091/2093, 06:09/06:09] install: collection-latexextra [8k]\n",
"[2092/2093, 06:09/06:09] install: collection-latexrecommended [1k]\n",
"[2093/2093, 06:09/06:09] install: collection-pictures [2k]\n",
"tlmgr: action install returned an error; continuing.\n",
"running mktexlsr ...\n",
"done running mktexlsr.\n",
"running updmap-sys ...\n",
"done running updmap-sys.\n",
"regenerating language.dat\n",
"regenerating language.def\n",
"regenerating language.dat.lua\n",
"regenerating fmtutil.cnf in /usr/local/texlive/2025/texmf-dist\n",
"running fmtutil-sys --byfmt mptopdf --no-error-if-no-engine=luametatex,luajithbtex,luajittex,mfluajit --status-file=/tmp/gcdpeF7Nvh/qtlOJSWa5c ...\n",
" OK: mptopdf.fmt/pdftex\n",
"running fmtutil-sys --byfmt latex --no-error-if-no-engine=luametatex,luajithbtex,luajittex,mfluajit --status-file=/tmp/gcdpeF7Nvh/qtlOJSWa5c ...\n",
" OK: latex.fmt/pdftex\n",
"running fmtutil-sys --byfmt dvilualatex --no-error-if-no-engine=luametatex,luajithbtex,luajittex,mfluajit --status-file=/tmp/gcdpeF7Nvh/qtlOJSWa5c ...\n",
" OK: dvilualatex.fmt/luatex\n",
"running fmtutil-sys --byfmt latex-dev --no-error-if-no-engine=luametatex,luajithbtex,luajittex,mfluajit --status-file=/tmp/gcdpeF7Nvh/qtlOJSWa5c ...\n",
" OK: latex-dev.fmt/pdftex\n",
"running fmtutil-sys --byfmt pdflatex-dev --no-error-if-no-engine=luametatex,luajithbtex,luajittex,mfluajit --status-file=/tmp/gcdpeF7Nvh/qtlOJSWa5c ...\n",
" OK: pdflatex-dev.fmt/pdftex\n",
"running fmtutil-sys --byfmt pdflatex --no-error-if-no-engine=luametatex,luajithbtex,luajittex,mfluajit --status-file=/tmp/gcdpeF7Nvh/qtlOJSWa5c ...\n",
" OK: pdflatex.fmt/pdftex\n",
"running fmtutil-sys --byfmt lualatex --no-error-if-no-engine=luametatex,luajithbtex,luajittex,mfluajit --status-file=/tmp/gcdpeF7Nvh/qtlOJSWa5c ...\n",
" OK: lualatex.fmt/luahbtex\n",
"running fmtutil-sys --byfmt dvilualatex-dev --no-error-if-no-engine=luametatex,luajithbtex,luajittex,mfluajit --status-file=/tmp/gcdpeF7Nvh/qtlOJSWa5c ...\n",
" OK: dvilualatex-dev.fmt/luatex\n",
"running fmtutil-sys --byfmt lualatex-dev --no-error-if-no-engine=luametatex,luajithbtex,luajittex,mfluajit --status-file=/tmp/gcdpeF7Nvh/qtlOJSWa5c ...\n",
" OK: lualatex-dev.fmt/luahbtex\n",
"running fmtutil-sys --byhyphen \"/usr/local/texlive/2025/texmf-var/tex/generic/config/language.dat\" --no-error-if-no-engine=luametatex,luajithbtex,luajittex,mfluajit --status-file=/tmp/gcdpeF7Nvh/qtlOJSWa5c ...\n",
" OK: latex.fmt/pdftex dvilualatex-dev.fmt/luatex dvilualatex.fmt/luatex lualatex.fmt/luahbtex pdflatex.fmt/pdftex pdflatex-dev.fmt/pdftex latex-dev.fmt/pdftex lualatex-dev.fmt/luahbtex\n",
"running fmtutil-sys --byhyphen \"/usr/local/texlive/2025/texmf-var/tex/generic/config/language.def\" --no-error-if-no-engine=luametatex,luajithbtex,luajittex,mfluajit --status-file=/tmp/gcdpeF7Nvh/qtlOJSWa5c ...\n",
" OK: pdftex.fmt/pdftex luahbtex.fmt/luahbtex luatex.fmt/luatex dviluatex.fmt/luatex etex.fmt/pdftex pdfetex.fmt/pdftex\n",
"running fmtutil-sys --byhyphen \"/usr/local/texlive/2025/texmf-var/tex/generic/config/language.dat.lua\" --no-error-if-no-engine=luametatex,luajithbtex,luajittex,mfluajit --status-file=/tmp/gcdpeF7Nvh/qtlOJSWa5c ...\n",
"tlmgr: package log updated: /usr/local/texlive/2025/texmf-var/web2c/tlmgr.log\n",
"tlmgr: command log updated: /usr/local/texlive/2025/texmf-var/web2c/tlmgr-commands.log\n",
"tlmgr: An error has occurred. See above messages. Exiting.\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"import os\n",
"\n",
"if \"/usr/local/texlive/2025/bin/x86_64-linux\" not in os.environ[\"PATH\"]:\n",
" os.environ['PATH'] = f\"{os.environ['PATH']}:/usr/local/texlive/2025/bin/x86_64-linux\""
],
"metadata": {
"id": "xH3eZ1xO_ck3"
},
"execution_count": 1,
"outputs": []
},
{
"cell_type": "code",
"source": [
"%matplotlib inline\n",
"%config InlineBackend.figure_format = 'retina'\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib as mpl\n",
"import matplotlib.font_manager as fm\n",
"\n",
"COLORS = {\n",
" \"red\": np.array([0.79215686, 0.14901961, 0.14901961]),\n",
" \"blue\": np.array([0.08683021, 0.41940383, 0.71699529]),\n",
" **{f\"gray{k:02d}\": np.array([k,k,k])*.01 for k in np.arange(5,100,5)}\n",
"}\n",
"\n",
"def mpl_theme(gray=COLORS['gray50'], stroke_width=.1, fontsize=7,\n",
" facecolor=COLORS['gray10']):\n",
" ## category20: https://github.com/d3/d3-3.x-api-reference/blob/master/Ordinal-Scales.md#category20\n",
" cat20 = mpl.cycler(color=[\"1f77b4\",\"ff7f0e\",\"2ca02c\",\"d62728\",\"9467bd\",\"8c564b\",\"e377c2\",\"7f7f7f\",\"bcbd22\",\"17becf\",\n",
" \"aec7e8\",\"ffbb78\",\"98df8a\",\"ff9896\",\"c5b0d5\",\"c49c94\",\"f7b6d2\",\"c7c7c7\", \"dbdb8d\", \"9edae5\"])\n",
" return {\n",
" \"font.size\": fontsize,\n",
" \"font.family\": \"sans-serif\",\n",
" \"text.usetex\": False,\n",
" \"text.latex.preamble\": r\"\\usepackage{newpxtext,newpxmath}\",\n",
" \"mathtext.fontset\": \"cm\",\n",
"\n",
" \"text.color\": gray,\n",
"\n",
" \"figure.dpi\": 100,\n",
" \"figure.facecolor\": facecolor,\n",
" \"figure.frameon\": False,\n",
" \"figure.figsize\": (5, 3),\n",
" \"figure.titlesize\": \"large\",\n",
" \"figure.titleweight\": \"bold\",\n",
" \"figure.constrained_layout.use\": True,\n",
" \"figure.constrained_layout.w_pad\": 0.05,\n",
" \"figure.constrained_layout.h_pad\": 0.05,\n",
" \"figure.constrained_layout.wspace\": 0.03,\n",
" \"figure.constrained_layout.hspace\": 0.03,\n",
"\n",
" \"axes.labelcolor\": gray,\n",
" \"axes.labelpad\": 8,\n",
" \"axes.labelsize\": \"medium\",\n",
" \"axes.labelweight\": \"normal\",\n",
" \"axes.spines.left\": False,\n",
" \"axes.spines.bottom\": False,\n",
" \"axes.spines.top\": False,\n",
" \"axes.spines.right\": False,\n",
" \"axes.facecolor\": facecolor,\n",
" \"axes.edgecolor\": gray,\n",
" \"axes.linewidth\": stroke_width,\n",
" \"axes.axisbelow\": True,\n",
" \"axes.xmargin\": 0.02,\n",
" \"axes.ymargin\": 0.02,\n",
" \"axes.zmargin\": 0.02,\n",
" \"axes.prop_cycle\": cat20,\n",
" \"axes.titlepad\": 8,\n",
" \"axes.titlesize\": \"medium\",\n",
" \"axes.titleweight\": 500,\n",
" \"axes.grid\": True,\n",
" \"axes.grid.axis\": \"both\",\n",
"\n",
" \"axes3d.grid\": False,\n",
" \"axes3d.xaxis.panecolor\": COLORS['gray15'],\n",
" \"axes3d.yaxis.panecolor\": COLORS['gray20'],\n",
" \"axes3d.zaxis.panecolor\": COLORS['gray25'],\n",
"\n",
" \"ytick.right\": False,\n",
" \"ytick.color\": gray,\n",
" \"ytick.major.width\": stroke_width,\n",
" \"ytick.major.size\": 0,\n",
" \"ytick.minor.left\": False,\n",
" \"ytick.labelsize\": \"small\",\n",
"\n",
" \"xtick.labelsize\": \"small\",\n",
" \"xtick.minor.visible\": True,\n",
" \"xtick.minor.top\": False,\n",
" \"xtick.minor.bottom\": False,\n",
" \"xtick.color\": gray,\n",
" \"xtick.major.width\": stroke_width,\n",
" \"xtick.major.size\": 0,\n",
"\n",
" \"grid.color\": gray,\n",
" \"grid.linewidth\": stroke_width,\n",
" \"grid.linestyle\": \"-\",\n",
" \"legend.fancybox\": False,\n",
" \"legend.edgecolor\": '0.3',\n",
" \"legend.framealpha\": 0.7,\n",
" \"legend.handletextpad\": 0.8,\n",
"\n",
" \"lines.linewidth\": 0.7\n",
" }\n",
"\n",
"def mpl_add_font(fname):\n",
" if fname not in [fe.fname for fe in fm.fontManager.ttflist]:\n",
" fm.fontManager.addfont(fname)\n",
"\n",
"def setup_quicksand(folder=\"fonts\"):\n",
" os.makedirs(folder, exist_ok=True)\n",
" for style in [\"Bold\", \"Light\", \"Medium\", \"Regular\"]:\n",
" ttf = f\"Quicksand-{style}.ttf\"\n",
" !wget -qc \"https://github.com/andrew-paglinawan/QuicksandFamily/raw/refs/heads/master/fonts/statics/{ttf}\" -O \"{folder}/{ttf}\"\n",
" mpl_add_font(f\"{folder}/{ttf}\")\n",
" if \"Quicksand\" not in mpl.rcParams['font.sans-serif']:\n",
" mpl.rcParams['font.sans-serif'].insert(0, \"Quicksand\")\n",
"\n",
"setup_quicksand()\n",
"\n",
"plt.style.use([\"dark_background\", mpl_theme()])"
],
"metadata": {
"id": "dx1oCGZDdH2n"
},
"execution_count": 2,
"outputs": []
},
{
"cell_type": "code",
"source": [
"t = np.linspace(0.0, 1.0, 100)\n",
"s = np.cos(4 * np.pi * t) + 2\n",
"\n",
"fig, ax = plt.subplots(figsize=(6, 4), layout=\"tight\")\n",
"ax.plot(t, s)\n",
"\n",
"ax.set_xlabel(r'\\textbf{time (s)}',usetex=True)\n",
"ax.set_ylabel('\\\\textit{Velocity (\\N{DEGREE SIGN}/sec)}', fontsize=16,usetex=True)\n",
"ax.set_title(r'\\TeX\\ is Number $p\\displaystyle\\sum_{n=1}^\\infty'\n",
" r'\\frac{-e^{i\\pi}}{2^n}\\iiiint$!', fontsize=16, color='r',usetex=True)\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 416
},
"id": "o0NnfGmBuiv4",
"outputId": "731885df-91ad-4a67-e22e-758501af7136"
},
"execution_count": 3,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 600x400 with 1 Axes>"
],
"image/png": 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},
"metadata": {
"image/png": {
"width": 599,
"height": 399
}
}
}
]
},
{
"cell_type": "code",
"source": [
"%%file test.tex\n",
"\\documentclass[preview]{standalone}\n",
"\\usepackage[utf8]{inputenc}\n",
"\n",
"\\usepackage{newpxtext,newpxmath}\n",
"\n",
"\\begin{document}\n",
"\n",
"\\begin{align*}\n",
"x = \\sin(\\frac{\\pi}{2})\n",
"\\end{align*}\n",
"\n",
"\\end{document}"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "zZ4cn05zi0EA",
"outputId": "27815e32-d884-4837-f242-bcde3ebc67a6"
},
"execution_count": 4,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Writing test.tex\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"!/usr/local/texlive/2025/bin/x86_64-linux/latex --interaction=batchmode test.tex 2>&1 > /dev/null\n",
"!/usr/local/texlive/2025/bin/x86_64-linux/dvisvgm -v 0 -Oall -e --no-fonts test.dvi test.svg"
],
"metadata": {
"id": "j2D6162mddNx"
},
"execution_count": 5,
"outputs": []
},
{
"cell_type": "code",
"source": [
"!cat test.svg"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "9i1o1s47jCUM",
"outputId": "9b1bded6-dd25-409d-fc41-626de26eb7c9"
},
"execution_count": 6,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"<?xml version='1.0' encoding='UTF-8'?>\n",
"<!-- This file was generated by dvisvgm 3.4.3 -->\n",
"<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='45.813916pt' height='18.244112pt' viewBox='148.843826 -11.379867 45.813916 18.244112'>\n",
"<defs>\n",
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},
{
"cell_type": "code",
"source": [
"import IPython.display as ipd\n",
"\n",
"with open('test.svg', 'r') as f:\n",
" display(ipd.HTML(f.read()))"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 45
},
"id": "wsvdkhFyjI08",
"outputId": "4e529e0f-682b-4be1-edc3-ff25fbc05842"
},
"execution_count": 7,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<IPython.core.display.HTML object>"
],
"text/html": [
"<?xml version='1.0' encoding='UTF-8'?>\n",
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},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [],
"metadata": {
"id": "x85Ylm9_jZDK"
},
"execution_count": null,
"outputs": []
}
]
}
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