diff --git a/ma5/uppg/main.fdb_latexmk b/ma5/uppg/main.fdb_latexmk index 90c85b7..07197cb 100644 --- a/ma5/uppg/main.fdb_latexmk +++ b/ma5/uppg/main.fdb_latexmk @@ -1,5 +1,5 @@ # Fdb version 3 -["pdflatex"] 1648483023 "main.tex" "main.pdf" "main" 1648483023 +["pdflatex"] 1648491760 "main.tex" "main.pdf" "main" 1648491761 "/usr/share/texmf-dist/fonts/map/fontname/texfonts.map" 1647844622 3524 cb3e574dea2d1052e39280babc910dc8 "" "/usr/share/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1647844622 1004 54797486969f23fa377b128694d548df "" "/usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm" 1647844622 916 f87d7c45f9c908e672703b83b72241a3 "" @@ -66,6 +66,7 @@ "/usr/share/texmf-dist/tex/latex/base/atbegshi-ltx.sty" 1647844622 3034 3bfb87122e6fa8758225c0dd3cbaceba "" "/usr/share/texmf-dist/tex/latex/base/atveryend-ltx.sty" 1647844622 2462 754d6b31b2ab5a09bb72c348ace2ec75 "" "/usr/share/texmf-dist/tex/latex/base/size10.clo" 1647844622 8448 96f18c76bf608a36ee6fbf021ac1dd32 "" + "/usr/share/texmf-dist/tex/latex/braket/braket.sty" 1647807149 3601 193635d942bc4777a5acaaeeffdce692 "" "/usr/share/texmf-dist/tex/latex/geometry/geometry.sty" 1647844622 41601 9cf6c5257b1bc7af01a58859749dd37a "" "/usr/share/texmf-dist/tex/latex/graphics/keyval.sty" 1647844622 2671 4de6781a30211fe0ea4c672e4a2a8166 "" "/usr/share/texmf-dist/tex/latex/hycolor/hycolor.sty" 1647844622 17914 4c28a13fc3d975e6e81c9bea1d697276 "" @@ -86,9 +87,9 @@ "/usr/share/texmf-dist/web2c/texmf.cnf" 1647844622 39911 2da6c67557ec033436fe5418a70a8a61 "" "/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1648036410 4278762 af3ac1370db81a450c1118eabf1fe718 "" "/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1648036393 2924504 371aaf66e6dc336df8f5856c9444aca8 "" - "main.aux" 1648483023 2317 eb7ea0ad69ba39707b99e3ab67505cde "pdflatex" - "main.out" 1648483023 1159 2635baec54a16692a01d1db6cb342d5e "pdflatex" - "main.tex" 1648483023 15004 9997b9302ea145b623cf22c345a25bd5 "" + "main.aux" 1648491761 2317 eb7ea0ad69ba39707b99e3ab67505cde "pdflatex" + "main.out" 1648491761 1159 2635baec54a16692a01d1db6cb342d5e "pdflatex" + "main.tex" 1648491759 15196 0502355f0515e99c38133f535e7a4b11 "" (generated) "main.aux" "main.log" diff --git a/ma5/uppg/main.fls b/ma5/uppg/main.fls index 8c7fc46..b5fc189 100644 --- a/ma5/uppg/main.fls +++ b/ma5/uppg/main.fls @@ -439,6 +439,17 @@ INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty +INPUT /usr/share/texmf-dist/tex/latex/braket/braket.sty +INPUT /usr/share/texmf-dist/tex/latex/braket/braket.sty +INPUT /usr/share/texmf-dist/tex/latex/braket/braket.sty +INPUT /usr/share/texmf-dist/tex/latex/braket/braket.sty +INPUT /usr/share/texmf-dist/tex/latex/braket/braket.sty +INPUT /usr/share/texmf-dist/tex/latex/braket/braket.sty +INPUT /usr/share/texmf-dist/tex/latex/braket/braket.sty +INPUT /usr/share/texmf-dist/tex/latex/braket/braket.sty +INPUT /usr/share/texmf-dist/tex/latex/braket/braket.sty +INPUT /usr/share/texmf-dist/tex/latex/braket/braket.sty +INPUT /usr/share/texmf-dist/tex/latex/braket/braket.sty INPUT /usr/share/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def INPUT /usr/share/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def INPUT /usr/share/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def diff --git a/ma5/uppg/main.log b/ma5/uppg/main.log index 075d0a7..a6b8ffd 100644 --- a/ma5/uppg/main.log +++ b/ma5/uppg/main.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.141592653-2.6-1.40.23 (TeX Live 2021/Arch Linux) (preloaded format=pdflatex 2022.3.23) 28 MAR 2022 17:57 +This is pdfTeX, Version 3.141592653-2.6-1.40.23 (TeX Live 2021/Arch Linux) (preloaded format=pdflatex 2022.3.23) 28 MAR 2022 20:22 entering extended mode restricted \write18 enabled. file:line:error style messages enabled. @@ -292,7 +292,7 @@ LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' (Font) U/euf/m/n --> U/euf/b/n on input line 106. ) (/usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty Package: amssymb 2013/01/14 v3.01 AMS font symbols -) (/usr/share/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def +) (/usr/share/texmf-dist/tex/latex/braket/braket.sty) (/usr/share/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def File: l3backend-pdftex.def 2022-02-07 L3 backend support: PDF output (pdfTeX) \l__color_backend_stack_int=\count294 \l__pdf_internal_box=\box98 @@ -383,15 +383,15 @@ Package rerunfilecheck Info: File `main.out' has not changed. (rerunfilecheck) Checksum: 2635BAEC54A16692A01D1DB6CB342D5E;1159. ) Here is how much of TeX's memory you used: - 9506 strings out of 478276 - 145104 string characters out of 5853013 - 459211 words of memory out of 5000000 - 27591 multiletter control sequences out of 15000+600000 + 9548 strings out of 478276 + 145876 string characters out of 5853013 + 459440 words of memory out of 5000000 + 27629 multiletter control sequences out of 15000+600000 475990 words of font info for 52 fonts, out of 8000000 for 9000 1141 hyphenation exceptions out of 8191 60i,7n,63p,809b,330s stack positions out of 5000i,500n,10000p,200000b,80000s -Output written on main.pdf (7 pages, 210659 bytes). +Output written on main.pdf (7 pages, 211207 bytes). PDF statistics: 192 PDF objects out of 1000 (max. 8388607) 145 compressed objects within 2 object streams diff --git a/ma5/uppg/main.pdf b/ma5/uppg/main.pdf index 77f570a..9f9ed17 100644 Binary files a/ma5/uppg/main.pdf and b/ma5/uppg/main.pdf differ diff --git a/ma5/uppg/main.synctex.gz b/ma5/uppg/main.synctex.gz index 856ee07..14a2363 100644 Binary files a/ma5/uppg/main.synctex.gz and b/ma5/uppg/main.synctex.gz differ diff --git a/ma5/uppg/main.tex b/ma5/uppg/main.tex index 4928bb8..2b4751e 100644 --- a/ma5/uppg/main.tex +++ b/ma5/uppg/main.tex @@ -8,7 +8,7 @@ \usepackage{amsmath} \usepackage{amsfonts} \usepackage{amssymb} - +\usepackage{braket} \titleformat{\section} {\Large\bfseries} @@ -403,6 +403,13 @@ $$ $$ + ( \psi_1^2 \emph{Im}^2(z_1) + 2\psi_1 \psi_2 \emph{Im}(z_1)\emph{Im}(z_2) + \psi_2^2 \emph{Im}^2(z_2) )^2 $$ +$$ +\dots +$$ +Det här är dock onödigt då vi kan också använda oss av \emph{Diracs notation}. Även kallat för \emph{bra-ket notationen}: +$$ +\Psi_n = \ket{\psi_n(x)} +$$ \end{document}