More integration

master
E. Almqvist 3 years ago
parent 90a563ef6b
commit 7d0634fdc9
  1. 9
      ma5/uppg/main.fdb_latexmk
  2. 4
      ma5/uppg/main.fls
  3. 12
      ma5/uppg/main.log
  4. BIN
      ma5/uppg/main.pdf
  5. BIN
      ma5/uppg/main.synctex.gz
  6. 18
      ma5/uppg/main.tex

@ -1,5 +1,5 @@
# Fdb version 3 # Fdb version 3
["pdflatex"] 1648211808 "main.tex" "main.pdf" "main" 1648211809 ["pdflatex"] 1648213365 "main.tex" "main.pdf" "main" 1648213366
"/usr/share/texmf-dist/fonts/map/fontname/texfonts.map" 1640600964 3524 cb3e574dea2d1052e39280babc910dc8 "" "/usr/share/texmf-dist/fonts/map/fontname/texfonts.map" 1640600964 3524 cb3e574dea2d1052e39280babc910dc8 ""
"/usr/share/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1640600964 1004 54797486969f23fa377b128694d548df "" "/usr/share/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1640600964 1004 54797486969f23fa377b128694d548df ""
"/usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm" 1640600964 916 f87d7c45f9c908e672703b83b72241a3 "" "/usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm" 1640600964 916 f87d7c45f9c908e672703b83b72241a3 ""
@ -13,6 +13,7 @@
"/usr/share/texmf-dist/fonts/tfm/public/cm/cmr12.tfm" 1640600964 1288 655e228510b4c2a1abe905c368440826 "" "/usr/share/texmf-dist/fonts/tfm/public/cm/cmr12.tfm" 1640600964 1288 655e228510b4c2a1abe905c368440826 ""
"/usr/share/texmf-dist/fonts/tfm/public/cm/cmr17.tfm" 1640600964 1292 296a67155bdbfc32aa9c636f21e91433 "" "/usr/share/texmf-dist/fonts/tfm/public/cm/cmr17.tfm" 1640600964 1292 296a67155bdbfc32aa9c636f21e91433 ""
"/usr/share/texmf-dist/fonts/tfm/public/cm/cmti10.tfm" 1640600964 1480 aa8e34af0eb6a2941b776984cf1dfdc4 "" "/usr/share/texmf-dist/fonts/tfm/public/cm/cmti10.tfm" 1640600964 1480 aa8e34af0eb6a2941b776984cf1dfdc4 ""
"/usr/share/texmf-dist/fonts/tfm/public/cm/cmti7.tfm" 1640600964 1492 86331993fe614793f5e7e755835c31c5 ""
"/usr/share/texmf-dist/fonts/tfm/public/cm/cmtt10.tfm" 1640600964 768 1321e9409b4137d6fb428ac9dc956269 "" "/usr/share/texmf-dist/fonts/tfm/public/cm/cmtt10.tfm" 1640600964 768 1321e9409b4137d6fb428ac9dc956269 ""
"/usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb" 1640600964 32080 340ef9bf63678554ee606688e7b5339d "" "/usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb" 1640600964 32080 340ef9bf63678554ee606688e7b5339d ""
"/usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmbxti10.pfb" 1640600964 36554 b67dc2cfa451409e100b3fcf5f506509 "" "/usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmbxti10.pfb" 1640600964 36554 b67dc2cfa451409e100b3fcf5f506509 ""
@ -81,9 +82,9 @@
"/usr/share/texmf-dist/web2c/texmf.cnf" 1640600964 39911 2da6c67557ec033436fe5418a70a8a61 "" "/usr/share/texmf-dist/web2c/texmf.cnf" 1640600964 39911 2da6c67557ec033436fe5418a70a8a61 ""
"/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1647853768 4243317 6cd4c1d3b72728bfa7db8ef2e14c0430 "" "/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1647853768 4243317 6cd4c1d3b72728bfa7db8ef2e14c0430 ""
"/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1647853732 2920113 d8a499937a1239664546ceed552c7509 "" "/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1647853732 2920113 d8a499937a1239664546ceed552c7509 ""
"main.aux" 1648211809 1487 653c38bcf6a6df8e18201b53f41b3454 "pdflatex" "main.aux" 1648213365 1487 653c38bcf6a6df8e18201b53f41b3454 "pdflatex"
"main.out" 1648211809 561 7f4a6e130b4a0841f3a3fe085e8f354a "pdflatex" "main.out" 1648213365 561 7f4a6e130b4a0841f3a3fe085e8f354a "pdflatex"
"main.tex" 1648211807 9607 ed2c06c8caf7132ab4ead7927c510590 "" "main.tex" 1648213364 10029 189ca3e9f10596bb1446685a27f92be0 ""
(generated) (generated)
"main.aux" "main.aux"
"main.log" "main.log"

@ -522,6 +522,10 @@ INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmr12.tfm
INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmbx12.tfm INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmbx12.tfm
INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmti10.tfm INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmti10.tfm
INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmbxti10.tfm INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmbxti10.tfm
INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmti7.tfm
INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmbxti10.tfm
INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmti7.tfm
INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmbxti10.tfm
INPUT main.aux INPUT main.aux
INPUT ./main.out INPUT ./main.out
INPUT ./main.out INPUT ./main.out

@ -1,4 +1,4 @@
This is pdfTeX, Version 3.141592653-2.6-1.40.23 (TeX Live 2021/Arch Linux) (preloaded format=pdflatex 2022.3.21) 25 MAR 2022 13:36 This is pdfTeX, Version 3.141592653-2.6-1.40.23 (TeX Live 2021/Arch Linux) (preloaded format=pdflatex 2022.3.21) 25 MAR 2022 14:02
entering extended mode entering extended mode
restricted \write18 enabled. restricted \write18 enabled.
file:line:error style messages enabled. file:line:error style messages enabled.
@ -383,15 +383,15 @@ Package rerunfilecheck Info: File `main.out' has not changed.
(rerunfilecheck) Checksum: 7F4A6E130B4A0841F3A3FE085E8F354A;561. (rerunfilecheck) Checksum: 7F4A6E130B4A0841F3A3FE085E8F354A;561.
) )
Here is how much of TeX's memory you used: Here is how much of TeX's memory you used:
9098 strings out of 478353 9103 strings out of 478353
140920 string characters out of 5854635 140983 string characters out of 5854635
463010 words of memory out of 5000000 463010 words of memory out of 5000000
27118 multiletter control sequences out of 15000+600000 27122 multiletter control sequences out of 15000+600000
407818 words of font info for 44 fonts, out of 8000000 for 9000 409234 words of font info for 48 fonts, out of 8000000 for 9000
1141 hyphenation exceptions out of 8191 1141 hyphenation exceptions out of 8191
60i,7n,63p,809b,330s stack positions out of 5000i,500n,10000p,200000b,80000s 60i,7n,63p,809b,330s stack positions out of 5000i,500n,10000p,200000b,80000s
</usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmbxti10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi5.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmr5.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmr7.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy7.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmti10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmtt10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm5.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm7.pfb> </usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmbxti10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi5.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmr5.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmr7.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy7.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmti10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmtt10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm5.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm7.pfb>
Output written on main.pdf (5 pages, 188516 bytes). Output written on main.pdf (5 pages, 189172 bytes).
PDF statistics: PDF statistics:
147 PDF objects out of 1000 (max. 8388607) 147 PDF objects out of 1000 (max. 8388607)
104 compressed objects within 2 object streams 104 compressed objects within 2 object streams

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@ -249,6 +249,24 @@ $$
= D^2 \frac{L}{2\eta\pi} \left[u - \int \cos(2u) du\ \right]_0^L = D^2 \frac{L}{2\eta\pi} \left[u - \int \cos(2u) du\ \right]_0^L
$$ $$
$$
\emph{\textbf{Låt $\mu = 2u$}}
$$
$$
\implies \int \cos(2u) du\ = \int \cos(\mu) du\
$$
$$
\implies \frac{d\mu}{du} = 2 \implies du\ = \frac{1}{2} d\mu\
$$
$$
\int \cos(2u) du\ = \frac{1}{2} \int \cos(\mu) d\mu\ = -\frac{1}{2} \sin(\mu) + C
$$
$$
\implies \int_0^L \shrodprob dx\
= D^2 \frac{L}{2\eta\pi} \left[u - \int \cos(2u) du\ \right]_0^L
= D^2 \frac{L}{2\eta\pi} \left[ u + \frac{1}{2}\sin \mu \right]_0^L
$$
\end{document} \end{document}

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