/
lecture 2 equations.fdb_latexmk
155 lines (155 loc) · 18.6 KB
/
lecture 2 equations.fdb_latexmk
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
# Fdb version 3
["pdflatex"] 1673542588 "c:/Users/Arne/OneDrive - University of Calgary/Documents/teaching/ENEL 441/Lecture 1 - Introduction/lecture 2 equations.tex" "lecture 2 equations.pdf" "lecture 2 equations" 1673542591
"c:/Users/Arne/OneDrive - University of Calgary/Documents/teaching/ENEL 441/Lecture 1 - Introduction/lecture 2 equations.tex" 1673542584 3907 e0fff5d40fefb1b53bae12b0977ca5af ""
"c:/texlive/2022/texmf-dist/fonts/map/fontname/texfonts.map" 1657901851 3524 cb3e574dea2d1052e39280babc910dc8 ""
"c:/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1657900045 1004 54797486969f23fa377b128694d548df ""
"c:/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm" 1657900045 988 bdf658c3bfc2d96d3c8b02cfc1c94c20 ""
"c:/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm" 1657900045 916 f87d7c45f9c908e672703b83b72241a3 ""
"c:/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam7.tfm" 1657900045 928 2dc8d444221b7a635bb58038579b861a ""
"c:/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm" 1657900045 908 2921f8a10601f252058503cc6570e581 ""
"c:/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm7.tfm" 1657900045 940 228d6584342e91276bf566bcf9716b83 ""
"c:/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmex10.tfm" 1657900836 992 662f679a0b3d2d53c1b94050fdaa3f50 ""
"c:/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmmi12.tfm" 1657900836 1524 4414a8315f39513458b80dfc63bff03a ""
"c:/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmmi6.tfm" 1657900836 1512 f21f83efb36853c0b70002322c1ab3ad ""
"c:/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmmi8.tfm" 1657900836 1520 eccf95517727cb11801f4f1aee3a21b4 ""
"c:/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmr12.tfm" 1657900836 1288 655e228510b4c2a1abe905c368440826 ""
"c:/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmr6.tfm" 1657900836 1300 b62933e007d01cfd073f79b963c01526 ""
"c:/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmr8.tfm" 1657900836 1292 21c1c5bfeaebccffdb478fd231a0997d ""
"c:/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmsy10.tfm" 1657900836 1124 6c73e740cf17375f03eec0ee63599741 ""
"c:/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmsy6.tfm" 1657900836 1116 933a60c408fc0a863a92debe84b2d294 ""
"c:/texlive/2022/texmf-dist/fonts/tfm/public/cm/cmsy8.tfm" 1657900836 1120 8b7d695260f3cff42e636090a8002094 ""
"c:/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb" 1657900045 30251 6afa5cb1d0204815a708a080681d4674 ""
"c:/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi12.pfb" 1657900045 36741 0ee9e374ec3e30da87cdfb0ea3575226 ""
"c:/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi8.pfb" 1657900045 35469 dcf3a5f2fc1862f5952e3ee5eb1d98c4 ""
"c:/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb" 1657900045 32722 d7379af29a190c3f453aba36302ff5a9 ""
"c:/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmr6.pfb" 1657900045 32734 69e00a6b65cedb993666e42eedb3d48f ""
"c:/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmr8.pfb" 1657900045 32726 39f0f9e62e84beb801509898a605dbd5 ""
"c:/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb" 1657900045 32569 5e5ddc8df908dea60932f3c484a54c0d ""
"c:/texlive/2022/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy8.pfb" 1657900045 32626 5abc8bb2f28aa647d4c70f8ea38cc0d3 ""
"c:/texlive/2022/texmf-dist/tex/context/base/mkii/supp-pdf.mkii" 1657903403 71627 94eb9990bed73c364d7f53f960cc8c5b ""
"c:/texlive/2022/texmf-dist/tex/generic/circuitikz/pgfcirc.defines.tex" 1657900795 40468 7426a1e496398965009750c94f7118bb ""
"c:/texlive/2022/texmf-dist/tex/generic/circuitikz/pgfcircbipoles.tex" 1657900795 261896 b619b77a2e65fcbf8292c7db5c91f6a0 ""
"c:/texlive/2022/texmf-dist/tex/generic/circuitikz/pgfcirccurrent.tex" 1657900795 9538 d41d3f442f974856ce6f6490d8c753a0 ""
"c:/texlive/2022/texmf-dist/tex/generic/circuitikz/pgfcircflow.tex" 1657900795 9804 96db64eb5590839eb80a509a06bb80e5 ""
"c:/texlive/2022/texmf-dist/tex/generic/circuitikz/pgfcirclabel.tex" 1657900795 15442 521f202fed8dcf583f9119c7b45a8595 ""
"c:/texlive/2022/texmf-dist/tex/generic/circuitikz/pgfcircmonopoles.tex" 1657900795 56233 78dd453e9f6c7bc60c629adcc476b298 ""
"c:/texlive/2022/texmf-dist/tex/generic/circuitikz/pgfcircmultipoles.tex" 1657900795 112203 6f6586db42c85cba724c7b7cdb7ac800 ""
"c:/texlive/2022/texmf-dist/tex/generic/circuitikz/pgfcircpath.tex" 1657900795 16722 7eaaf69eca58ff49a24ece99018b241a ""
"c:/texlive/2022/texmf-dist/tex/generic/circuitikz/pgfcircquadpoles.tex" 1657900795 107976 6087459c0c63a5bc7204d8f3d6c55e8f ""
"c:/texlive/2022/texmf-dist/tex/generic/circuitikz/pgfcircshapes.tex" 1657900795 33313 70aeeeca358e5e7691919788ad5cec3d ""
"c:/texlive/2022/texmf-dist/tex/generic/circuitikz/pgfcirctripoles.tex" 1657900795 374435 84b936e42ab04634d1508a418952592e ""
"c:/texlive/2022/texmf-dist/tex/generic/circuitikz/pgfcircutils.tex" 1657900795 14587 5e7f9413ed51b17dd74183040d3f03e5 ""
"c:/texlive/2022/texmf-dist/tex/generic/circuitikz/pgfcircvoltage.tex" 1657900795 35438 9e95a3481c73b66c56859e611c07426c ""
"c:/texlive/2022/texmf-dist/tex/generic/iftex/iftex.sty" 1657902379 7237 bdd120a32c8fdb4b433cf9ca2e7cd98a ""
"c:/texlive/2022/texmf-dist/tex/generic/iftex/ifvtex.sty" 1657902379 1057 525c2192b5febbd8c1f662c9468335bb ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex" 1657903881 992 855ff26741653ab54814101ca36e153c ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex" 1657903881 43820 1fef971b75380574ab35a0d37fd92608 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex" 1657903881 19324 f4e4c6403dd0f1605fd20ed22fa79dea ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex" 1657903881 6038 ccb406740cc3f03bbfb58ad504fe8c27 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex" 1657903881 6944 e12f8f7a7364ddf66f93ba30fb3a3742 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex" 1657903881 4883 42daaf41e27c3735286e23e48d2d7af9 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex" 1657903881 2544 8c06d2a7f0f469616ac9e13db6d2f842 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex" 1657903881 44195 5e390c414de027626ca5e2df888fa68d ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex" 1657903881 17311 2ef6b2e29e2fc6a2fc8d6d652176e257 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex" 1657903881 21302 788a79944eb22192a4929e46963a3067 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex" 1657903881 9690 01feb7cde25d4293ef36eef45123eb80 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex" 1657903881 33335 dd1fa4814d4e51f18be97d88bf0da60c ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex" 1657903881 2965 4c2b1f4e0826925746439038172e5d6f ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex" 1657903881 5196 2cc249e0ee7e03da5f5f6589257b1e5b ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex" 1657903881 20726 d4c8db1e2e53b72721d29916314a22ea ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex" 1657903881 35249 abd4adf948f960299a4b3d27c5dddf46 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex" 1657903881 21989 fdc867d05d228316de137a9fc5ec3bbe ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex" 1657903881 8893 e851de2175338fdf7c17f3e091d94618 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarybending.code.tex" 1657903881 345 9efe6b557b64ab0401dc06a4ef8ca04c ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarycalc.code.tex" 1657903881 15929 463535aa2c4268fead6674a75c0e8266 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryfpu.code.tex" 1657903881 283 0802c14f542ec5204d2d1cc89f08a4d2 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarypatterns.code.tex" 1657903881 770 82e332cc9cc48e06b8070d74393a185a ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshapes.geometric.code.tex" 1657903881 339 be0fe46d92a80e3385dd6a83511a46f2 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex" 1657903881 11518 738408f795261b70ce8dd47459171309 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex" 1657903881 186007 6e7dfe0bd57520fd5f91641aa72dcac8 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.meta.code.tex" 1657903881 58801 1e750fb0692eb99aaac45698bbec96b1 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/libraries/pgflibrarycurvilinear.code.tex" 1657903881 14117 ce877c5ca2b43f31c2cd81e74cc26bd9 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/libraries/pgflibraryfpu.code.tex" 1657903881 85938 8e4ba97c5906e1c0d158aea81fe29af7 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/libraries/pgflibrarypatterns.code.tex" 1657903881 7936 49e55444d57eb69a380c6baa35094828 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex" 1657903881 32995 ac577023e12c0e4bd8aa420b2e852d1a ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.geometric.code.tex" 1657903881 160993 6a81d63e475cc43874b46ed32a0a37c8 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfint.code.tex" 1657903881 3063 8c415c68a0f3394e45cfeca0b65f6ee6 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex" 1657903881 521 8e224a7af69b7fee4451d1bf76b46654 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex" 1657903881 13391 84d29568c13bdce4133ab4a214711112 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex" 1657903881 104935 184ed87524e76d4957860df4ce0cd1c3 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex" 1657903881 10165 cec5fa73d49da442e56efc2d605ef154 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex" 1657903881 28178 41c17713108e0795aac6fef3d275fbca ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex" 1657903881 9989 c55967bf45126ff9b061fa2ca0c4694f ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex" 1657903881 3865 ac538ab80c5cf82b345016e474786549 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex" 1657903881 3177 27d85c44fbfe09ff3b2cf2879e3ea434 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex" 1657903881 11024 0179538121bc2dba172013a3ef89519f ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex" 1657903881 7854 4176998eeefd8745ac6d2d4bd9c98451 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex" 1657903881 3379 781797a101f647bab82741a99944a229 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex" 1657903881 92405 f515f31275db273f97b9d8f52e1b0736 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex" 1657903881 37376 11cd75aac3da1c1b152b2848f30adc14 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex" 1657903881 8471 c2883569d03f69e8e1cabfef4999cfd7 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/modules/pgfmodulebending.code.tex" 1657903881 10901 2a1622fae7fe4eb4574c13e264019b2f ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex" 1657903881 21201 08d231a2386e2b61d64641c50dc15abd ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/modules/pgfmodulenonlineartransformations.code.tex" 1657903881 12243 a8b138086af750a4e0d253790eb930d8 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex" 1657903881 16121 346f9013d34804439f7436ff6786cef7 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex" 1657903881 44784 cedaa399d15f95e68e22906e2cc09ef8 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/pgf.revision.tex" 1657903881 465 d68603f8b820ea4a08cce534944db581 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg" 1657903881 926 2963ea0dcf6cc6c0a770b69ec46a477b ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def" 1657903881 5546 f3f24d7898386cb7daac70bdd2c4d6dc ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def" 1657903881 12601 4786e597516eddd82097506db7cfa098 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex" 1657903881 61163 9b2eefc24e021323e0fc140e9826d016 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex" 1657903881 1896 b8e0ca0ac371d74c0ca05583f6313c91 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex" 1657903881 7778 53c8b5623d80238f6a20aa1df1868e63 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex" 1657903881 23997 a4bed72405fa644418bea7eac2887006 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex" 1657903881 37060 797782f0eb50075c9bc952374d9a659a ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex" 1657903881 37431 9abe862035de1b29c7a677f3205e3d9f ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex" 1657903881 4494 af17fb7efeafe423710479858e42fa7e ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex" 1657903881 7251 fb18c67117e09c64de82267e12cd8aa4 ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex" 1657903881 29274 e15c5b7157d21523bd9c9f1dfa146b8e ""
"c:/texlive/2022/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def" 1657903881 6825 a2b0ea5b539dda0625e99dd15785ab59 ""
"c:/texlive/2022/texmf-dist/tex/latex/amsfonts/amsfonts.sty" 1657900045 5949 3f3fd50a8cc94c3d4cbf4fc66cd3df1c ""
"c:/texlive/2022/texmf-dist/tex/latex/amsfonts/umsa.fd" 1657900045 961 6518c6525a34feb5e8250ffa91731cff ""
"c:/texlive/2022/texmf-dist/tex/latex/amsfonts/umsb.fd" 1657900045 961 d02606146ba5601b5645f987c92e6193 ""
"c:/texlive/2022/texmf-dist/tex/latex/amsmath/amsbsy.sty" 1657900049 2222 78b930a5a6e3dc2ac69b78c2057b94d7 ""
"c:/texlive/2022/texmf-dist/tex/latex/amsmath/amsgen.sty" 1657900049 4173 c989ee3ced31418e3593916ab26c793a ""
"c:/texlive/2022/texmf-dist/tex/latex/amsmath/amsmath.sty" 1657900049 88393 1adf6fa3f245270d06e3d4f8910f7fc5 ""
"c:/texlive/2022/texmf-dist/tex/latex/amsmath/amsopn.sty" 1657900049 4474 f04cd1cc7bd76eb033e6fb12eb6a0d77 ""
"c:/texlive/2022/texmf-dist/tex/latex/amsmath/amstext.sty" 1657900049 2444 70065bddd85997dc1fd0bb7ae634e5fa ""
"c:/texlive/2022/texmf-dist/tex/latex/base/article.cls" 1657902677 20144 7555b7429d80bef287ebb82117811acc ""
"c:/texlive/2022/texmf-dist/tex/latex/base/size12.clo" 1657902678 8449 7fbdc9c8596083427317c1e525489c81 ""
"c:/texlive/2022/texmf-dist/tex/latex/circuitikz/circuitikz.sty" 1657900795 13737 2641155cd48b24914e097be915bc662d ""
"c:/texlive/2022/texmf-dist/tex/latex/cite/cite.sty" 1657900799 26218 19edeff8cdc2bcb704e8051dc55eb5a7 ""
"c:/texlive/2022/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty" 1657901549 13886 d1306dcf79a944f6988e688c1785f9ce ""
"c:/texlive/2022/texmf-dist/tex/latex/geometry/geometry.sty" 1657901974 41601 9cf6c5257b1bc7af01a58859749dd37a ""
"c:/texlive/2022/texmf-dist/tex/latex/graphics-cfg/color.cfg" 1657902090 1213 620bba36b25224fa9b7e1ccb4ecb76fd ""
"c:/texlive/2022/texmf-dist/tex/latex/graphics-cfg/graphics.cfg" 1657902090 1224 978390e9c2234eab29404bc21b268d1e ""
"c:/texlive/2022/texmf-dist/tex/latex/graphics-def/pdftex.def" 1657902091 19103 48d29b6e2a64cb717117ef65f107b404 ""
"c:/texlive/2022/texmf-dist/tex/latex/graphics/graphics.sty" 1657902088 18387 8f900a490197ebaf93c02ae9476d4b09 ""
"c:/texlive/2022/texmf-dist/tex/latex/graphics/graphicx.sty" 1657902088 8010 a8d949cbdbc5c983593827c9eec252e1 ""
"c:/texlive/2022/texmf-dist/tex/latex/graphics/keyval.sty" 1657902088 2671 7e67d78d9b88c845599a85b2d41f2e39 ""
"c:/texlive/2022/texmf-dist/tex/latex/graphics/mathcolor.ltx" 1657902088 3171 1cf0d440b5464e2f034398ce4ef36f75 ""
"c:/texlive/2022/texmf-dist/tex/latex/graphics/trig.sty" 1657902088 4023 293ea1c16429fc0c4cf605f4da1791a9 ""
"c:/texlive/2022/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def" 1657902643 31050 293f2cc98a3575c4228b5157bf850b8f ""
"c:/texlive/2022/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg" 1657902755 678 4792914a8f45be57bb98413425e4c7af ""
"c:/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty" 1657903881 1090 bae35ef70b3168089ef166db3e66f5b2 ""
"c:/texlive/2022/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty" 1657903881 410 615550c46f918fcbee37641b02a862d9 ""
"c:/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty" 1657903881 21013 f4ff83d25bb56552493b030f27c075ae ""
"c:/texlive/2022/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty" 1657903881 989 c49c8ae06d96f8b15869da7428047b1e ""
"c:/texlive/2022/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty" 1657903881 339 c2e180022e3afdb99c7d0ea5ce469b7d ""
"c:/texlive/2022/texmf-dist/tex/latex/pgf/math/pgfmath.sty" 1657903881 306 c56a323ca5bf9242f54474ced10fca71 ""
"c:/texlive/2022/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty" 1657903881 443 8c872229db56122037e86bcda49e14f3 ""
"c:/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgffor.sty" 1657903881 348 ee405e64380c11319f0e249fed57e6c5 ""
"c:/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty" 1657903881 274 5ae372b7df79135d240456a1c6f2cf9a ""
"c:/texlive/2022/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty" 1657903881 325 f9f16d12354225b7dd52a3321f085955 ""
"c:/texlive/2022/texmf-dist/tex/latex/tools/enumerate.sty" 1657905391 3468 46ba9177f0f0a79fe79845d3eebff113 ""
"c:/texlive/2022/texmf-dist/tex/latex/xcolor/xcolor.sty" 1657905808 56148 51a9a8571c07b9921892ae11063ae853 ""
"c:/texlive/2022/texmf-dist/web2c/texmf.cnf" 1657899914 40171 cdab547de63d26590bebb3baff566530 ""
"c:/texlive/2022/texmf-var/fonts/map/pdftex/updmap/pdftex.map" 1657906057 4634946 d2848b86361d48ab78eef9225f65482b ""
"c:/texlive/2022/texmf-var/web2c/pdftex/pdflatex.fmt" 1657906359 2864706 ca1db1e69995f2b59b96cced9571b512 ""
"c:/texlive/2022/texmf.cnf" 1657906012 713 e69b156964470283e0530f5060668171 ""
"lecture 2 equations.aux" 1673542591 32 2d1df76398b3c48c6419a45a7331db2d "pdflatex"
"lecture 2 equations.tex" 1673542584 3907 e0fff5d40fefb1b53bae12b0977ca5af ""
(generated)
"lecture 2 equations.aux"
"lecture 2 equations.log"
"lecture 2 equations.pdf"