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This is pdfTeX, Version 3.141592653-2.6-1.40.26 (MiKTeX 24.4) (preloaded format=pdflatex 2025.1.21) 28 AUG 2025 10:07
entering extended mode
restricted \write18 enabled.
%&-line parsing enabled.
**./index.tex
(index.tex
LaTeX2e <2024-11-01> patch level 1
L3 programming layer <2024-12-25>
(C:\Users\j98z791\AppData\Local\Programs\MiKTeX\tex/latex/base\article.cls
Document Class: article 2024/06/29 v1.4n Standard LaTeX document class
(C:\Users\j98z791\AppData\Local\Programs\MiKTeX\tex/latex/base\size10.clo
File: size10.clo 2024/06/29 v1.4n Standard LaTeX file (size option)
)
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Package: amsmath 2024/11/05 v2.17t AMS math features
\@mathmargin=\skip51
For additional information on amsmath, use the `?' option.
(C:\Users\j98z791\AppData\Local\Programs\MiKTeX\tex/latex/amsmath\amstext.sty
Package: amstext 2021/08/26 v2.01 AMS text
(C:\Users\j98z791\AppData\Local\Programs\MiKTeX\tex/latex/amsmath\amsgen.sty
File: amsgen.sty 1999/11/30 v2.0 generic functions
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Package: amsbsy 1999/11/29 v1.2d Bold Symbols
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Package: amsopn 2022/04/08 v2.04 operator names
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LaTeX Info: Redefining \frac on input line 233.
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LaTeX Info: Redefining \ldots on input line 495.
LaTeX Info: Redefining \dots on input line 498.
LaTeX Info: Redefining \cdots on input line 619.
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LaTeX Info: Redefining \big on input line 721.
LaTeX Info: Redefining \Big on input line 722.
LaTeX Info: Redefining \bigg on input line 723.
LaTeX Info: Redefining \Bigg on input line 724.
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LaTeX Font Info: Redeclaring font encoding OML on input line 742.
LaTeX Font Info: Redeclaring font encoding OMS on input line 743.
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LaTeX Info: Redefining \bmod on input line 904.
LaTeX Info: Redefining \pmod on input line 909.
LaTeX Info: Redefining \smash on input line 939.
LaTeX Info: Redefining \relbar on input line 969.
LaTeX Info: Redefining \Relbar on input line 970.
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LaTeX Info: Redefining \[ on input line 2953.
LaTeX Info: Redefining \] on input line 2954.
) (C:\Users\j98z791\AppData\Local\Programs\MiKTeX\tex/latex/amsfonts\amssymb.st
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Package: amssymb 2013/01/14 v3.01 AMS font symbols
(C:\Users\j98z791\AppData\Local\Programs\MiKTeX\tex/latex/amsfonts\amsfonts.sty
Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support
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LaTeX Font Info: Redeclaring math symbol \hbar on input line 98.
LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold'
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)) (C:\Users\j98z791\AppData\Local\Programs\MiKTeX\tex/generic/iftex\iftex.sty
Package: iftex 2024/12/12 v1.0g TeX engine tests
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Package: textcomp 2024/04/24 v2.1b Standard LaTeX package
) (C:\Users\j98z791\AppData\Local\Programs\MiKTeX\tex/latex/lm\lmodern.sty
Package: lmodern 2015/05/01 v1.6.1 Latin Modern Fonts
LaTeX Font Info: Overwriting symbol font `operators' in version `normal'
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LaTeX Font Info: Overwriting symbol font `letters' in version `normal'
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LaTeX Font Info: Overwriting symbol font `symbols' in version `normal'
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LaTeX Font Info: Overwriting symbol font `largesymbols' in version `normal'
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LaTeX Font Info: Overwriting symbol font `operators' in version `bold'
(Font) OT1/cmr/bx/n --> OT1/lmr/bx/n on input line 26.
LaTeX Font Info: Overwriting symbol font `letters' in version `bold'
(Font) OML/cmm/b/it --> OML/lmm/b/it on input line 27.
LaTeX Font Info: Overwriting symbol font `symbols' in version `bold'
(Font) OMS/cmsy/b/n --> OMS/lmsy/b/n on input line 28.
LaTeX Font Info: Overwriting symbol font `largesymbols' in version `bold'
(Font) OMX/cmex/m/n --> OMX/lmex/m/n on input line 29.
LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `normal'
(Font) OT1/cmr/bx/n --> OT1/lmr/bx/n on input line 31.
LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `normal'
(Font) OT1/cmss/m/n --> OT1/lmss/m/n on input line 32.
LaTeX Font Info: Overwriting math alphabet `\mathit' in version `normal'
(Font) OT1/cmr/m/it --> OT1/lmr/m/it on input line 33.
LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `normal'
(Font) OT1/cmtt/m/n --> OT1/lmtt/m/n on input line 34.
LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `bold'
(Font) OT1/cmr/bx/n --> OT1/lmr/bx/n on input line 35.
LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold'
(Font) OT1/cmss/bx/n --> OT1/lmss/bx/n on input line 36.
LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold'
(Font) OT1/cmr/bx/it --> OT1/lmr/bx/it on input line 37.
LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold'
(Font) OT1/cmtt/m/n --> OT1/lmtt/m/n on input line 38.
)
! Sorry, but C:\Users\j98z791\AppData\Local\Programs\MiKTeX\miktex\bin\x64\pdflatex.exe did not succeed.
! The log file hopefully contains the information to get MiKTeX going again:
! C:\Users\j98z791\AppData\Local\MiKTeX\miktex\log\pdflatex.log