# Fdb version 4
["pdflatex"] 1744196178.1362 "notizen_koma_ruh_jirayu.tex" "notizen_koma_ruh_jirayu.pdf" "notizen_koma_ruh_jirayu" 1744196179.94254 0
  "/usr/local/texlive/2025/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 ""
  "/usr/local/texlive/2025/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm" 1246382020 916 f87d7c45f9c908e672703b83b72241a3 ""
  "/usr/local/texlive/2025/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam7.tfm" 1246382020 928 2dc8d444221b7a635bb58038579b861a ""
  "/usr/local/texlive/2025/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm" 1246382020 908 2921f8a10601f252058503cc6570e581 ""
  "/usr/local/texlive/2025/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm7.tfm" 1246382020 940 228d6584342e91276bf566bcf9716b83 ""
  "/usr/local/texlive/2025/texmf-dist/fonts/tfm/public/cm/cmbx12.tfm" 1136768653 1324 c910af8c371558dc20f2d7822f66fe64 ""
  "/usr/local/texlive/2025/texmf-dist/fonts/tfm/public/cm/cmcsc10.tfm" 1136768653 1300 63a6111ee6274895728663cf4b4e7e81 ""
  "/usr/local/texlive/2025/texmf-dist/fonts/tfm/public/cm/cmr12.tfm" 1136768653 1288 655e228510b4c2a1abe905c368440826 ""
  "/usr/local/texlive/2025/texmf-dist/fonts/tfm/public/cm/cmr17.tfm" 1136768653 1292 296a67155bdbfc32aa9c636f21e91433 ""
  "/usr/local/texlive/2025/texmf-dist/fonts/tfm/public/cm/cmr9.tfm" 1136768653 1292 6b21b9c2c7bebb38aa2273f7ca0fb3af ""
  "/usr/local/texlive/2025/texmf-dist/fonts/tfm/public/newpx/zplexa.tfm" 1589834291 760 1bbb6b93780440b947a1a84c0a1886d8 ""
  "/usr/local/texlive/2025/texmf-dist/fonts/tfm/public/newpx/zplexx.tfm" 1699652218 1788 6330755b94fc63d40588b98071d174ed ""
  "/usr/local/texlive/2025/texmf-dist/fonts/tfm/public/newpx/zplmi.tfm" 1591219423 3260 0a40022e2c14e21e9b62ad177b8d4fed ""
  "/usr/local/texlive/2025/texmf-dist/fonts/tfm/public/newpx/zplmia.tfm" 1618176981 2220 8ab24a4f03729d0c6f447c26467c5c04 ""
  "/usr/local/texlive/2025/texmf-dist/fonts/tfm/public/newpx/zplsy.tfm" 1699652218 2004 4bc7c107aded0ecefd537038974e9117 ""
  "/usr/local/texlive/2025/texmf-dist/fonts/tfm/public/newpx/zplsyc.tfm" 1589834291 1028 21e15ab4b85747ec39bbc16f585cbee8 ""
  "/usr/local/texlive/2025/texmf-dist/fonts/tfm/public/newpx/zplsym.tfm" 1693080925 1572 bcb12adf2427f3408055786fa60ac08c ""
  "/usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb" 1248133631 32080 340ef9bf63678554ee606688e7b5339d ""
  "/usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb" 1248133631 35752 024fb6c41858982481f6968b5fc26508 ""
  "/usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmr17.pfb" 1248133631 32362 179c33bbf43f19adbb3825bb4e36e57a ""
  "/usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmr9.pfb" 1248133631 33993 9b89b85fd2d9df0482bd47194d1d3bf3 ""
  "/usr/local/texlive/2025/texmf-dist/tex/context/base/mkii/supp-pdf.mkii" 1461363279 71627 94eb9990bed73c364d7f53f960cc8c5b ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/atbegshi/atbegshi.sty" 1575674566 24708 5584a51a7101caf7e6bbf1fc27d8f7b1 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/babel-german/ngerman.ldf" 1733867049 2289 142d4c4e9b9454344e08718ddd1c1070 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/babel-german/ngermanb.ldf" 1733867049 9519 07567e6a5751b56c75ede8e38d955275 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/babel/babel.sty" 1739572459 143388 b008e1666520ff43d0878397f2926242 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/babel/locale/de/babel-de.ini" 1661803479 4096 fa1802f91144b2c083d61dddf097a6d2 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/babel/locale/de/babel-ngerman.tex" 1656274800 336 b80d4d282e518e78a8b5f9cc543e7f94 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/babel/txtbabel.def" 1735765002 6945 a248d839b1f26b388440c973966647b5 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty" 1576625341 40635 c40361e206be584d448876bba8a64a3b ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/bitset/bitset.sty" 1576016050 33961 6b5c75130e435b2bfdb9f480a09a39f9 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty" 1576625223 8371 9d55b8bd010bc717624922fb3477d92e ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/iftex/iftex.sty" 1734129479 7984 7dbb9280f03c0a315425f1b4f35d43ee ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/iftex/ifvtex.sty" 1572645307 1057 525c2192b5febbd8c1f662c9468335bb ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/infwarerr/infwarerr.sty" 1575499628 8356 7bbb2c2373aa810be568c29e333da8ed ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/intcalc/intcalc.sty" 1576625065 31769 002a487f55041f8e805cfbf6385ffd97 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/kastrup/binhex.tex" 1215376579 2553 4b99aa9667b708dd355926023d705446 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty" 1576878844 5412 d5a2436094cd7be85769db90f29250a6 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty" 1701727651 17865 1a9bd36b4f98178fa551aca822290953 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pdfescape/pdfescape.sty" 1576015897 19007 15924f7228aca6c6d184b115f4baa231 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty" 1593379760 20089 80423eac55aa175305d35b49e04fe23b ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex" 1673816307 1016 1c2b89187d12a2768764b83b4945667c ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex" 1601326656 43820 1fef971b75380574ab35a0d37fd92608 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex" 1601326656 19324 f4e4c6403dd0f1605fd20ed22fa79dea ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex" 1601326656 6038 ccb406740cc3f03bbfb58ad504fe8c27 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex" 1673816307 6911 f6d4cf5a3fef5cc879d668b810e82868 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex" 1601326656 4883 42daaf41e27c3735286e23e48d2d7af9 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex" 1601326656 2544 8c06d2a7f0f469616ac9e13db6d2f842 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex" 1601326656 44195 5e390c414de027626ca5e2df888fa68d ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex" 1601326656 17311 2ef6b2e29e2fc6a2fc8d6d652176e257 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex" 1601326656 21302 788a79944eb22192a4929e46963a3067 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex" 1673816307 9691 3d42d89522f4650c2f3dc616ca2b925e ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex" 1601326656 33335 dd1fa4814d4e51f18be97d88bf0da60c ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex" 1601326656 2965 4c2b1f4e0826925746439038172e5d6f ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex" 1601326656 5196 2cc249e0ee7e03da5f5f6589257b1e5b ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex" 1673816307 20821 7579108c1e9363e61a0b1584778804aa ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex" 1601326656 35249 abd4adf948f960299a4b3d27c5dddf46 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex" 1673816307 22012 81b34a0aa8fa1a6158cc6220b00e4f10 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex" 1601326656 8893 e851de2175338fdf7c17f3e091d94618 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryarrows.code.tex" 1601326656 319 225dfe354ba678ff3c194968db39d447 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarycalc.code.tex" 1601326656 15929 463535aa2c4268fead6674a75c0e8266 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarydecorations.code.tex" 1673816307 5628 dc0ee4ba7f3e40acae5600067ce833de ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarydecorations.pathmorphing.code.tex" 1601326656 321 cdd11262840e01e25374a2d458f15e99 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryfadings.code.tex" 1601326656 1179 5483d86c1582c569e665c74efab6281f ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarymatrix.code.tex" 1673816307 4228 c39d423dc1a80da31c8c67bf1067f384 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryquotes.code.tex" 1673816307 3970 c199216b190c70e45bff870bacf0da00 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshadows.code.tex" 1601326656 2889 d698e3a959304efa342d47e3bb86da5b ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex" 1608933718 11518 738408f795261b70ce8dd47459171309 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytrees.code.tex" 1601326656 3360 d7547ac810d5d8570c7b6f7c224d69da ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex" 1673816307 186782 af500404a9edec4d362912fe762ded92 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/decorations/pgflibrarydecorations.pathmorphing.code.tex" 1601326656 8843 5533436db3e30fbad1e0440db6027dac ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex" 1601326656 31874 89148c383c49d4c72114a76fd0062299 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.meta.code.tex" 1601326656 58801 1e750fb0692eb99aaac45698bbec96b1 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/pgflibraryfadings.code.tex" 1601326656 2563 d5b174eb7709fd6bdcc2f70953dbdf8e ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex" 1601326656 32995 ac577023e12c0e4bd8aa420b2e852d1a ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfint.code.tex" 1557692582 3063 8c415c68a0f3394e45cfeca0b65f6ee6 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex" 1673816307 949 cea70942e7b7eddabfb3186befada2e6 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex" 1673816307 13270 2e54f2ce7622437bf37e013d399743e3 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex" 1673816307 104717 9b2393fbf004a0ce7fa688dbce423848 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex" 1601326656 10165 cec5fa73d49da442e56efc2d605ef154 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex" 1601326656 28178 41c17713108e0795aac6fef3d275fbca ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex" 1673816307 9649 85779d3d8d573bfd2cd4137ba8202e60 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex" 1601326656 3865 ac538ab80c5cf82b345016e474786549 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex" 1557692582 3177 27d85c44fbfe09ff3b2cf2879e3ea434 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex" 1621110968 11024 0179538121bc2dba172013a3ef89519f ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex" 1673816307 7890 0a86dbf4edfd88d022e0d889ec78cc03 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex" 1601326656 3379 781797a101f647bab82741a99944a229 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex" 1601326656 92405 f515f31275db273f97b9d8f52e1b0736 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex" 1673816307 37466 97b0a1ba732e306a1a2034f5a73e239f ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex" 1601326656 8471 c2883569d03f69e8e1cabfef4999cfd7 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/modules/pgfmoduledecorations.code.tex" 1673816307 71742 3da44a8be6626eef1c400c68776c7a0f ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex" 1673816307 21211 1e73ec76bd73964d84197cc3d2685b01 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex" 1601326656 16121 346f9013d34804439f7436ff6786cef7 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex" 1673816307 44792 271e2e1934f34c759f4dedb1e14a5015 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/pgf.revision.tex" 1673816307 114 e6d443369d0673933b38834bf99e422d ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg" 1601326656 926 2963ea0dcf6cc6c0a770b69ec46a477b ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def" 1673816307 5542 32f75a31ea6c3a7e1148cd6d5e93dbb7 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def" 1673816307 12612 7774ba67bfd72e593c4436c2de6201e3 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex" 1673816307 61351 bc5f86e0355834391e736e97a61abced ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex" 1601326656 1896 b8e0ca0ac371d74c0ca05583f6313c91 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex" 1601326656 7778 53c8b5623d80238f6a20aa1df1868e63 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex" 1673816307 24033 d8893a1ec4d1bfa101b172754743d340 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex" 1673816307 39784 414c54e866ebab4b801e2ad81d9b21d8 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfkeyslibraryfiltered.code.tex" 1673816307 37433 940bc6d409f1ffd298adfdcaf125dd86 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex" 1673816307 4385 510565c2f07998c8a0e14f0ec07ff23c ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex" 1673816307 29239 22e8c7516012992a49873eff0d868fed ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def" 1673816307 6950 8524a062d82b7afdc4a88a57cb377784 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/stringenc/stringenc.sty" 1575152242 21514 b7557edcee22835ef6b03ede1802dad4 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/tikz-cd/tikzlibrarycd.code.tex" 1620507957 23059 b4b98da760150611227e2533f15fe352 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty" 1576624663 7008 f92eaa0a3872ed622bbf538217cd2ab7 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/xkeyval/xkeyval.tex" 1655411236 19231 27205ee17aaa2902aea3e0c07a3cfc65 ""
  "/usr/local/texlive/2025/texmf-dist/tex/generic/xkeyval/xkvutils.tex" 1655411236 7677 9cb1a74d945bc9331f2181c0a59ff34a ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/algorithm2e/algorithm2e.sty" 1500498588 167160 d91cee26d3ef5727644d2110445741dd ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/amscls/amsthm.sty" 1591045760 12594 0d51ac3a545aaaa555021326ff22a6cc ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/amsfonts/amsfonts.sty" 1359763108 5949 3f3fd50a8cc94c3d4cbf4fc66cd3df1c ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/amsfonts/amssymb.sty" 1359763108 13829 94730e64147574077f8ecfea9bb69af4 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/amsfonts/umsa.fd" 1359763108 961 6518c6525a34feb5e8250ffa91731cff ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/amsfonts/umsb.fd" 1359763108 961 d02606146ba5601b5645f987c92e6193 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/amsmath/amsbsy.sty" 1717359999 2222 2166a1f7827be30ddc30434e5efcee1b ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/amsmath/amsgen.sty" 1717359999 4173 d22509bc0c91281d991b2de7c88720dd ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/amsmath/amsmath.sty" 1730928152 88370 c780f23aea0ece6add91e09b44dca2cd ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/amsmath/amsopn.sty" 1717359999 4474 23ca1d3a79a57b405388059456d0a8df ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/amsmath/amstext.sty" 1717359999 2444 71618ea5f2377e33b04fb97afdd0eac2 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/atveryend/atveryend.sty" 1728505250 1695 be6b4d13b33db697fd3fd30b24716c1a ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/auxhook/auxhook.sty" 1576625391 3935 57aa3c3e203a5c2effb4d2bd2efbc323 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/base/atbegshi-ltx.sty" 1738182759 2963 d8ec5a1b4e0a106c5c737900202763e4 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/base/atveryend-ltx.sty" 1738182759 2378 14b657ee5031da98cf91648f19642694 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/base/ifthen.sty" 1738182759 5525 9dced5929f36b19fa837947f5175b331 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/base/inputenc.sty" 1738182759 5048 0270515b828149155424600fd2d58ac5 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/base/report.cls" 1738182759 23203 7ac64169eac711b8259b91f4833984f3 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/base/size10.clo" 1738182759 8448 5cf247d4bd0c7d5d711bbbdf111fae2e ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/bookmark/bkm-pdftex.def" 1702241854 8818 aa5157b46368efebf023abff55611467 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/bookmark/bookmark.sty" 1702241854 18245 97e6be180cf07bb6f7008cfdaaecfce5 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/cancel/cancel.sty" 1388445839 7592 dd751af313a16a0308545d5bfd7aaaa2 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/comment/comment.sty" 1472166125 10197 204f75d5d8d88aa345a8c402e879e63b ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/enumitem/enumitem.sty" 1738874546 52272 63d293bc0d496619edb57585740861a2 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/environ/environ.sty" 1399239813 4378 f429f0da968c278653359293040a8f52 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty" 1579991033 13886 d1306dcf79a944f6988e688c1785f9ce ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/eso-pic/eso-pic.sty" 1683144721 11876 6ef493863ae0d7a984706973240c2237 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/etoolbox/etoolbox.sty" 1739306980 46850 d87daedc2abdc653769a6f1067849fe0 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/geometry/geometry.sty" 1578002852 41601 9cf6c5257b1bc7af01a58859749dd37a ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/graphics-cfg/color.cfg" 1459978653 1213 620bba36b25224fa9b7e1ccb4ecb76fd ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/graphics-cfg/graphics.cfg" 1465944070 1224 978390e9c2234eab29404bc21b268d1e ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/graphics-def/pdftex.def" 1713382759 19440 9da9dcbb27470349a580fca7372d454b ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/color.sty" 1730496337 7245 57f7defed4fb41562dc4b6ca13958ca9 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/graphics.sty" 1730496337 18363 dee506cb8d56825d8a4d020f5d5f8704 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/graphicx.sty" 1717359999 8010 6f2ad8c2b2ffbd607af6475441c7b5e4 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/keyval.sty" 1717359999 2671 70891d50dac933918b827d326687c6e8 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/lscape.sty" 1717359999 1822 ce7e39e35ea3027d24b527bd5c5034d5 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/mathcolor.ltx" 1667332637 2885 9c645d672ae17285bba324998918efd8 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/trig.sty" 1717359999 4023 2c9f39712cf7b43d3eb93a8bbd5c8f67 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/hycolor/hycolor.sty" 1580250785 17914 4c28a13fc3d975e6e81c9bea1d697276 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/hpdftex.def" 1730838014 48154 82da9991b9f0390b3a9d3af6c8618af4 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/hyperref.sty" 1730838014 222112 c22dbd2288f89f7ba942ac22f7d00f11 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/nameref.sty" 1705871765 11026 182c63f139a71afd30a28e5f1ed2cd1c ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/pd1enc.def" 1730838014 14249 ff700eb13ce975a424b2dd99b1a83044 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/puenc.def" 1730838014 117112 7533bff456301d32e6d6356fad15f543 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/ifmtarg/ifmtarg.sty" 1525197427 318 019510c713feab56160631df4423d2aa ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/ifoddpage/ifoddpage.sty" 1666126449 2142 eae42205b97b7a3ad0e58db5fe99e3e6 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/import/import.sty" 1586645574 6201 0ad8b5da8e12f60a88d546b2198a56f2 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/kvoptions/kvoptions.sty" 1655478651 22555 6d8e155cfef6d82c3d5c742fea7c992e ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/kvsetkeys/kvsetkeys.sty" 1665067230 13815 760b0c02f691ea230f5359c4e1de23a7 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def" 1716410060 29785 9f93ab201fe5dd053afcc6c1bcf7d266 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/l3kernel/expl3.sty" 1738271527 6565 f51d809db6193fae7b06c1bc26ca8f75 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/l3packages/l3keys2e/l3keys2e.sty" 1724879202 4674 22943918cc84173478a588d6efbc800b ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/l3packages/xparse/xparse.sty" 1724879202 9783 ab4bee47700c04aadedb8da27591b0ab ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg" 1279039959 678 4792914a8f45be57bb98413425e4c7af ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/listings/listings.cfg" 1727126400 1865 301ae3c26fb8c0243307b619a6aa2dd3 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/listings/listings.sty" 1727126400 81640 997090b6c021dc4af9ee00a97b85c5b4 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/listings/lstmisc.sty" 1727126400 77051 be68720e5402397a830abb9eed5a2cb4 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/listings/lstpatch.sty" 1710360531 353 9024412f43e92cd5b21fe9ded82d0610 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/listingsutf8/listingsutf8.sty" 1576101256 5148 1baf596b2560b44d9ff1889dc1d7564e ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/mathtools/mathtools.sty" 1728349409 62711 3b0ed1d68b598a75677c10d16646d5e5 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/mathtools/mhsetup.sty" 1616101747 5582 a43dedf8e5ec418356f1e9dfe5d29fc3 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/newpx/lmsnpxsy.fd" 1570136818 694 74f1360ae44f64fd2ee5afe681f49916 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/newpx/lmxnpxexx.fd" 1570136818 690 f81411dddf695b387c215e4d3b12bf7b ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/newpx/newpxmath.sty" 1738271346 116939 d4e7444f53099731145cea08487fcf2f ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/newpx/omlnpxmi.fd" 1364773518 1021 ea219cb4ba93d269a1b8397517fa73dd ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/newpx/unpxexa.fd" 1364773518 628 fbc01db774ec301bc422f326613f3c15 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/newpx/unpxmia.fd" 1364773518 837 c5c93d6a90ec14994a382e80af2ef77b ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/newpx/unpxsyc.fd" 1364773518 629 23771a5c5746d49294830c1e10f874a0 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/newpx/unpxsym.fd" 1692649112 641 2cd9fee0a1b5669711d8c55bc7712bcc ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/oberdiek/centernot.sty" 1575152444 1640 c9cca60f81c5839b9a3e794d72c0b0a7 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/pdfcol/pdfcol.sty" 1663877585 8086 ac143843b6ea88d172677dc3ed532925 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/pdflscape/pdflscape-nometadata.sty" 1667072951 6572 ea530fbbe537629fd97736d33babc07d ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/pdflscape/pdflscape.sty" 1667072951 2224 1230ab76aa62221ccbd90bca8c8c015e ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/pdfpages/pdfpages.sty" 1738442568 56557 52caee30c1fe86973ee17a572171abb0 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/pdfpages/pppdftex.def" 1738442568 6446 d89a65b3f6b4b32146b499348640e1cf ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/pgf-blur/tikzlibraryshadows.blur.code.tex" 1534888041 10370 2aaefd11895645becd171b233f2734ef ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty" 1601326656 1090 bae35ef70b3168089ef166db3e66f5b2 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty" 1673816307 373 00b204b1d7d095b892ad31a7494b0373 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty" 1601326656 21013 f4ff83d25bb56552493b030f27c075ae ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty" 1601326656 989 c49c8ae06d96f8b15869da7428047b1e ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty" 1601326656 339 c2e180022e3afdb99c7d0ea5ce469b7d ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/math/pgfmath.sty" 1601326656 306 c56a323ca5bf9242f54474ced10fca71 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty" 1601326656 443 8c872229db56122037e86bcda49e14f3 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/utilities/pgffor.sty" 1601326656 348 ee405e64380c11319f0e249fed57e6c5 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty" 1601326656 274 5ae372b7df79135d240456a1c6f2cf9a ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty" 1601326656 325 f9f16d12354225b7dd52a3321f085955 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/refcount/refcount.sty" 1576624809 9878 9e94e8fa600d95f9c7731bb21dfb67a4 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/relsize/relsize.sty" 1369619135 15542 c4cc3164fe24f2f2fbb06eb71b1da4c4 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty" 1657483315 9714 ba3194bd52c8499b3f1e3eb91d409670 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbbreakable.code.tex" 1729629551 34681 5ad5619477798e0585ce97e92ba075bc ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbexternal.code.tex" 1729629551 9105 5a50b7066ed23d09205aa37fe69e951c ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbfitting.code.tex" 1729629551 17164 002bdbaf09e605e895c644057c268091 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbhooks.code.tex" 1729629551 10373 24c63e0637d2172d23a50c61238bcc41 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcblistings.code.tex" 1729629551 3414 a8758eb0339def475b3e375fe7335593 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcblistingscore.code.tex" 1729629551 16147 2a7437ae9362c29025ce183991034565 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcblistingsutf8.code.tex" 1729629551 1414 3fc2bfc308b8836fb8873071647d1e16 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbmagazine.code.tex" 1729629551 5636 42acbec9b01b769d4ce0f204522d04cc ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbposter.code.tex" 1729629551 12459 57c45692fee879446df2f871fdc3cb2c ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbprocessing.code.tex" 1729629551 2349 2e9f0fbe0a111b50863d27c97793e439 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbraster.code.tex" 1729629551 9373 adb4c84606f9c1f78be1266d37bd8578 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbskins.code.tex" 1729629551 83599 50e7ac6ad41eaf61a7736beda9e3416b ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbskinsjigsaw.code.tex" 1729629551 10040 cd3f87486a5ead1213ec367836f72332 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbtheorems.code.tex" 1729629551 13125 46ca7b1b209d14b980b66450466ae92d ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbvignette.code.tex" 1729629551 12747 cd7c5d326d905561160a07ad889812b5 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcolorbox.sty" 1729629551 105823 554671f5b2d97c7efbbaf6dae11c29a8 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/theoremref/theoremref.sty" 1369264355 8987 0681aef301a54317610d6c432b179725 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tikz-cd/tikz-cd.sty" 1620507957 823 2375f30bf77af9357d3b4834b054bf52 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tikzfill/tikzfill-common.sty" 1691524336 2573 42712c9e0a2df004e43df5b3c95f0c1e ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tikzfill/tikzfill.image.sty" 1691524336 1120 ba535da48caa03bf1fd3f03ea87779f8 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tikzfill/tikzlibraryfill.image.code.tex" 1691524336 10931 717eb52299f416934beb8b2b7cd8cee6 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tikzsymbols/tikzsymbols.sty" 1639516976 132239 eb912f9962d808256603d31d845cbf37 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/titlesec/titletoc.sty" 1736023606 16594 e070b7268023b1ec1b45c44617ea64f9 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tools/array.sty" 1730496337 14552 27664839421e418b87f56fa4c6f66b1a ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tools/calc.sty" 1717359999 10214 61188260d324e94bc2f66825d7d3fdf4 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tools/multicol.sty" 1730496337 32879 f4cfa2226c995da5b04a89ee47abf182 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tools/verbatim.sty" 1717359999 7532 d2e1111e17bfebb1607d8ffa779705ec ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/tools/xspace.sty" 1717359999 4545 e3f4de576c914e2000f07f69a891c071 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/transparent/transparent-nometadata.sty" 1667073146 4212 8da4873548cbd3f1cdb053c708e8aa7e ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/transparent/transparent.sty" 1667073146 1918 c8d1ecb3722721d6f624992cbc042b70 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/trimspaces/trimspaces.sty" 1253232110 1380 971a51b00a14503ddf754cab24c3f209 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/url/url.sty" 1388531844 12796 8edb7d69a20b857904dd0ea757c14ec9 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/varwidth/varwidth.sty" 1238697683 10894 d359a13923460b2a73d4312d613554c8 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/xcolor/xcolor.sty" 1727642399 55384 b454dec21c2d9f45ec0b793f0995b992 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/xfrac/xfrac.sty" 1717530934 14945 a207ee7fd6b8cf6d82afb367c583ddd3 ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/xifthen/xifthen.sty" 1448319911 5689 1bfa68243e89a54479e7d0580773c57e ""
  "/usr/local/texlive/2025/texmf-dist/tex/latex/xkeyval/xkeyval.sty" 1655411236 4937 4ce600ce9bd4ec84d0250eb6892fcf4f ""
  "/usr/local/texlive/2025/texmf-dist/web2c/texmf.cnf" 1739380943 42148 61becc7c670cd061bb319c643c27fdd4 ""
  "/usr/local/texlive/2025/texmf-var/fonts/map/pdftex/updmap/pdftex.map" 1741609820 5467155 19efa205003f9ecad95fbbaa6ff24da1 ""
  "/usr/local/texlive/2025/texmf-var/web2c/pdftex/pdflatex.fmt" 1741609776 3345741 0261ac4ee98024bf6905d9ae0d935623 ""
  "/usr/local/texlive/2025/texmf.cnf" 1741450484 577 418a7058ec8e006d8704f60ecd22c938 ""
  "fourier_analysis/fourier_analysis.tex" 1743670316.23687 27 ad1883023fab9b6954eafd6a6cc37e60 ""
  "komplexe_zahlen/komplexe_zahlen.tex" 1743670225.60338 26 fbf0ebad0606a3986f6b1379dcfc8c46 ""
  "komplexwertige_funktionen/komplexwertige_funktionen.tex" 1743670247.40636 36 e7c5a9779ac0a00b27c2bf4b627be057 ""
  "laplace_transformation/laplace_transformation.tex" 1743670440.01828 33 c0faac968056c587dbad1f9d8f1f35e1 ""
  "letterfonts.tex" 1743668930.09577 8524 300377c5f733ebe6aa4b7f8e56db5921 ""
  "macros.tex" 1743668930.09959 3389 93000260d2aea292d29c76d4ace77a29 ""
  "notizen_koma_ruh_jirayu.aux" 1744196179.85242 4264 8fee6ae70c310fda8b816842a7c5b6f3 "pdflatex"
  "notizen_koma_ruh_jirayu.tex" 1744195827.13427 968 dbaf1d5d0e4e61fe0250f95cc70b1513 ""
  "notizen_koma_ruh_jirayu.toc" 1744196179.85899 508 41fe2f9ea8f090ab25f412ba1fcb46f0 "pdflatex"
  "preamble.tex" 1744195815.82128 19067 763753313701ed80dc77b37f6c227a44 ""
  "taylor_laurentreihen/reihen_entwicklung.aux" 1744196179.83651 1836 6d8c39ec8ea2a89d70c1ff6ff93ff604 "pdflatex"
  "taylor_laurentreihen/reihen_entwicklung.tex" 1744195938.81784 31 4b67e24985f836f8e69786cac0ab7cae ""
  "taylor_laurentreihen/taylor_laurentreihen.tex" 1744196175.72157 70 51eba623da0457f3ce5ffe299e653379 ""
  (generated)
  "notizen_koma_ruh_jirayu.aux"
  "notizen_koma_ruh_jirayu.log"
  "notizen_koma_ruh_jirayu.pdf"
  "notizen_koma_ruh_jirayu.toc"
  "taylor_laurentreihen/reihen_entwicklung.aux"
  (rewritten before read)
