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README.md

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@@ -25,33 +25,51 @@ This package implements the deterministic particle schemes described in the arti
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You can cite the article as
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```bibtex
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@article{doi:10.1137/21M1462994,
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author = {Radici, Emanuela and Stra, Federico},
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title = {Entropy solutions of mildly singular non-local scalar conservation
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laws with congestion via deterministic particle method},
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journal = {SIAM Journal on Mathematical Analysis},
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volume = {55},
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number = {3},
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pages = {2001-2041},
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year = {2023},
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doi = {10.1137/21M1462994},
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URL = {https://doi.org/10.1137/21M1462994},
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eprint = {2107.10760},
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eprinttype = {arxiv},
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eprintclass = {math.AP},
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@article{Radici-Stra-2023,
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author = {Radici, Emanuela and Stra, Federico},
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title = {Entropy solutions of mildly singular nonlocal scalar conservation
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laws with congestion via deterministic particle methods},
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journal = {SIAM Journal on Mathematical Analysis},
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volume = {55},
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number = {3},
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pages = {2001-2041},
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year = {2023},
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issn = {0036-1410, 1095-7154},
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doi = {10.1137/21M1462994},
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url = {https://epubs.siam.org/doi/10.1137/21M1462994},
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eprint = {2107.10760},
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eprinttype = {arxiv},
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eprintclass = {math.AP},
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keywords = {entropy solutions, nonlinear mobility, nonlocal interaction,
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deterministic particle method, Lagrangian discretization,
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numerical scheme},
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addendum = {MSC: 35L65, 65M12, 65M75},
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}
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```
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The convergence rate of the scheme is studied in the follow-up article (among other results)
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The convergence rate of the scheme is studied (among other results) in the follow-up article
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```bibtex
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@online{arxiv/2211.02450,
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author = {Marconi, Elio and Radici, Emanuela, and Stra, Federico},
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title = {Stability of quasi-entropy solutions of non-local scalar conservation laws},
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year = {2022},
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eprint = {2211.02450},
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eprinttype = {arxiv},
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eprintclass = {math.AP},
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url = {https://arxiv.org/abs/2211.02450},
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@article{Marconi-Radici-Stra-2024,
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author = {Marconi, Elio and Radici, Emanuela and Stra, Federico},
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title = {Stability of quasi-entropy solutions of non-local scalar
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conservation laws},
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journal = {Calculus of Variations and Partial Differential Equations},
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volume = {64},
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number = {3},
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pages = {},
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year = {2024},
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date = {2024-11-16},
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issn = {1432-0835},
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doi = {10.1007/s00526-024-02848-9},
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url = {https://link.springer.com/article/10.1007/s00526-024-02848-9},
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eprint = {2211.02450},
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eprinttype = {arxiv},
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eprintclass = {math.AP},
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keywords = {entropy solutions, conservation laws},
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addendum = {MSC: 35L65, 65M12},
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}
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```
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Please refer to the [documentation](https://federicostra.github.io/ConservationLawsParticles.jl)
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for additional ways to cite this work.

docs/biblio/.gitignore

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# Created by https://www.toptal.com/developers/gitignore/api/tex
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# Edit at https://www.toptal.com/developers/gitignore?templates=tex
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### TeX ###
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## Core latex/pdflatex auxiliary files:
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/aux
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*.aux
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*.lof
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*.log
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*.lot
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*.fls
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*.out
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*.toc
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*.fmt
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*.fot
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*.cb
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*.cb2
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.*.lb
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## Intermediate documents:
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*.dvi
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*.xdv
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*-converted-to.*
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# these rules might exclude image files for figures etc.
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# *.ps
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# *.eps
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# *.pdf
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## Generated if empty string is given at "Please type another file name for output:"
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.pdf
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## Bibliography auxiliary files (bibtex/biblatex/biber):
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*.bbl
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*.bcf
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*.blg
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*-blx.aux
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*-blx.bib
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*.run.xml
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## Build tool auxiliary files:
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*.fdb_latexmk
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*.synctex
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*.synctex(busy)
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*.synctex.gz
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*.synctex.gz(busy)
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*.pdfsync
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## Build tool directories for auxiliary files
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# latexrun
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latex.out/
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## Auxiliary and intermediate files from other packages:
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# algorithms
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*.alg
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*.loa
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# achemso
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acs-*.bib
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# amsthm
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*.thm
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# beamer
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*.nav
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*.pre
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# changes
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*.soc
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*.cut
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# elsarticle (documentclass of Elsevier journals)
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*.spl
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# feynmf/feynmp
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#(r)(e)ledmac/(r)(e)ledpar
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*.end
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*.?end
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*.[1-9]
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*.[1-9][0-9][0-9]
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*.[1-9][0-9]R
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*.[1-9][0-9][0-9]R
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*.eledsec[1-9]R
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*.eledsec[1-9][0-9]
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*.eledsec[1-9][0-9]R
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*.eledsec[1-9][0-9][0-9]
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*.eledsec[1-9][0-9][0-9]R
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# glossaries
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*.acn
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*.acr
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*.glg
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*.glo
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*.gls
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*.glsdefs
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*.lzo
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*.lzs
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*.slg
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*.slo
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*.sls
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# uncomment this for glossaries-extra (will ignore makeindex's style files!)
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# *.ist
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# gnuplot
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*.gnuplot
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*.table
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# gnuplottex
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*-gnuplottex-*
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*.gaux
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*.glog
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*.gtex
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# htlatex
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*.4ct
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*.4tc
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*.idv
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*.lg
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*.trc
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*.xref
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# hyperref
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*.brf
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# knitr
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*-concordance.tex
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# TODO Uncomment the next line if you use knitr and want to ignore its generated tikz files
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# *.tikz
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*-tikzDictionary
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# listings
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*.lol
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# luatexja-ruby
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*.ltjruby
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# makeidx
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*.idx
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*.ilg
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*.ind
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# minitoc
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*.maf
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*.mlf
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*.mlt
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*.mtc[0-9]*
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*.slf[0-9]*
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*.slt[0-9]*
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*.stc[0-9]*
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# minted
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_minted*
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*.pyg
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# morewrites
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*.mw
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# newpax
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*.newpax
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# nomencl
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*.nlg
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*.nlo
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*.nls
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# pax
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# scrwfile
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# svg
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svg-inkscape/
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# sympy
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*.sout
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sympy-plots-for-*.tex/
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# pdfcomment
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*.upa
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*.upb
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# pythontex
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*.pytxcode
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pythontex-files-*/
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# tcolorbox
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*.listing
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# thmtools
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*.loe
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# TikZ & PGF
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*.dpth
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*.md5
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*.auxlock
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# titletoc
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*.ptc
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# todonotes
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*.tdo
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# vhistory
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*.hst
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*.ver
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# easy-todo
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*.lod
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# xcolor
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*.xcp
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# xmpincl
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*.xmpi
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# xindy
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*.xdy
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# xypic precompiled matrices and outlines
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*.xyc
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# endfloat
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*.ttt
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*.fff
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# Latexian
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TSWLatexianTemp*
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## Editors:
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# WinEdt
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*.bak
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*.sav
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# Texpad
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.texpadtmp
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# LyX
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*.lyx~
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# Kile
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*.backup
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# gummi
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.*.swp
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# KBibTeX
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*~[0-9]*
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# TeXnicCenter
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*.tps
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# auto folder when using emacs and auctex
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./auto/*
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*.el
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# expex forward references with \gathertags
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*-tags.tex
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# standalone packages
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*.sta
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# Makeindex log files
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*.lpz
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# xwatermark package
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*.xwm
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# REVTeX puts footnotes in the bibliography by default, unless the nofootinbib
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# option is specified. Footnotes are the stored in a file with suffix Notes.bib.
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# Uncomment the next line to have this generated file ignored.
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#*Notes.bib
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### TeX Patch ###
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# LIPIcs / OASIcs
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*.vtc
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# glossaries
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*.glstex
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# End of https://www.toptal.com/developers/gitignore/api/tex

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