Update to v0.4
feature: compute the 2-point correlation function in easyeq.
feature: compute the Fourier transform of the 2-point correlation function
in anyeq and easyeq.
feature: compute the local maximum of the 2-point correlation function and
its Fourier transform.
feature: compute the compressibility for anyeq.
feature: allow for linear spacing of rho's.
feature: print the scattering length.
change: ux and uk now return real numbers.
fix: error in the computation of the momentum distribution: wrong
definition of delta functions.
fix: various minor bugs.
optimization: assign explicit types to variables.
This commit is contained in:
@ -1,4 +1,4 @@
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## Copyright 2021 Ian Jauslin
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## Copyright 2021-2023 Ian Jauslin
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##
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## Licensed under the Apache License, Version 2.0 (the "License");
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## you may not use this file except in compliance with the License.
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@ -4,10 +4,13 @@ doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevA.103.053309}{10.1103
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\bibitem[CJL20]{CJL20}E.A. Carlen, I. Jauslin, E.H. Lieb - {\it Analysis of a simple equation for the ground state energy of the Bose gas}, Pure and Applied Analysis, volume~\-2, issue~\-3, pages~\-659-684, 2020,\par\penalty10000
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doi:{\tt\color{blue}\href{http://dx.doi.org/10.2140/paa.2020.2.659}{10.2140/paa.2020.2.659}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1912.04987}{1912.04987}}.\par\medskip
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\bibitem[CJL20b]{CJL20b}E.A. Carlen, I. Jauslin, E.H. Lieb - {\it Analysis of a simple equation for the ground state of the Bose gas II: Monotonicity, Convexity and Condensate Fraction}, 2020, to appear in the SIAM journal of Mathematical Analysis,\par\penalty10000
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arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2010.13882}{2010.13882}}.\par\medskip
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\bibitem[CJL21]{CJL21}E.A. Carlen, I. Jauslin, E.H. Lieb - {\it Analysis of a Simple Equation for the Ground State of the Bose Gas II: Monotonicity, Convexity, and Condensate Fraction}, SIAM Journal on Mathematical Analysis, volume~\-53, number~\-5, pages~\-5322-5360, 2021,\par\penalty10000
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doi:{\tt\color{blue}\href{http://dx.doi.org/10.1137/20M1376820}{10.1137/20M1376820}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2010.13882}{2010.13882}}.\par\medskip
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\bibitem[DLMF]{DLMF1.1.3}F.W.J. Olver, A.B. Olde Daalhuis, D.W. Lozier, B.I. Schneider, R.F. Boisvert, C.W. Clark, B.R. Miller, B.V. Saunders, H.S. Cohl, M.A. McClain (editors) - {\it NIST Digital Library of Mathematical Functions}, Release~\-1.1.3 of~\-2021-09-15, 2021.\par\medskip
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\bibitem[Ja23]{Ja23}I. Jauslin - {\it The Simplified approach to the Bose gas without translation invariance}, 2023\par\penalty10000
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{\tt\color{blue}\href{http://ian.jauslin.org/publications/23j/}{http://ian.jauslin.org/publications/23j/}}.\par\medskip
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\bibitem[Ta87]{Ta87}Y. Taguchi - {\it Fourier coefficients of periodic functions of Gevrey classes and ultradistributions}, Yokohama Mathematical Journal, volume~\-35, pages~\-51-60, 1987.\par\medskip
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@ -1,4 +1,4 @@
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%% Copyright 2021 Ian Jauslin
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%% Copyright 2021-2023 Ian Jauslin
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%%
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%% Licensed under the Apache License, Version 2.0 (the "License");
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%% you may not use this file except in compliance with the License.
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@ -1,4 +1,4 @@
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%% Copyright 2021 Ian Jauslin
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%% Copyright 2021-2023 Ian Jauslin
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%%
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%% Licensed under the Apache License, Version 2.0 (the "License");
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%% you may not use this file except in compliance with the License.
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@ -219,6 +219,7 @@
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% counters
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\stepcounter{subsectioncount}
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\setcounter{subsubsectioncount}{0}
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\setcounter{subsubsubsectioncount}{0}
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\ifsubsectionsineq
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\setcounter{seqcount}0
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\fi
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@ -268,6 +269,7 @@
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\def\subsubsection#1{
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% counters
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\stepcounter{subsubsectioncount}
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\setcounter{subsubsubsectioncount}{0}
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% space before subsubsection (if not first)
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\ifnum\thesubsubsectioncount>1
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@ -302,6 +304,49 @@
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\medskip\penalty10000
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}
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%% subsubsubsection
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% counter
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\newcounter{subsubsubsectioncount}
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% space before subsubsubsection
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\newlength\subsubsubsecskip
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\setlength\subsubsubsecskip{20pt}
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\def\subsubsubsection#1{
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% counters
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\stepcounter{subsubsubsectioncount}
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% space before subsubsubsection (if not first)
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\ifnum\thesubsubsubsectioncount>1
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\vskip\subsubsubsecskip
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\penalty-500
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\fi
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% hyperref anchor
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\hrefanchor
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% define tag (for \label)
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\xdef\tag{\sectionprefix\thesectioncount.\thesubsectioncount.\thesubsubsectioncount.\thesubsubsubsectioncount}
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% get widths
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\def\@secnum{{\bf\hskip1.5cm\sectionprefix\thesectioncount.\thesubsectioncount.\thesubsubsectioncount.\thesubsubsubsectioncount.\hskip5pt}}
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\settowidth\secnumwidth{\@secnum}
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\setlength\sectitlewidth\textwidth
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\addtolength\sectitlewidth{-\secnumwidth}
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% print name
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\parbox{\textwidth}{
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\@secnum
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\parbox[t]{\sectitlewidth}{\bf #1}}
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% write to table of contents
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\iftoc
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% save lncount in aux variable which is written to toc
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\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@subsubsubsec.\thesectioncount.\thesubsectioncount.\thesubsubsectioncount.\thesubsubsubsectioncount\endcsname{\thelncount}}
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\write\tocoutput{\noexpand\tocsubsubsubsection{#1}{\thepage}}
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\fi
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% space
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\par\penalty10000
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\medskip\penalty10000
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}
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%% itemize
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\newlength\itemizeskip
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% left margin for items
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@ -638,6 +683,7 @@
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\stepcounter{tocsectioncount}
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\setcounter{tocsubsectioncount}{0}
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\setcounter{tocsubsubsectioncount}{0}
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\setcounter{tocsubsubsubsectioncount}{0}
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% write
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\smallskip\hyperlink{ln.\csname toc@sec.\thetocsectioncount\endcsname}{{\bf \tocsectionprefix\thetocsectioncount}.\hskip5pt {\color{blue}#1}\leaderfill#2}\par
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}
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@ -645,6 +691,7 @@
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\def\tocsubsection #1#2{
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\stepcounter{tocsubsectioncount}
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\setcounter{tocsubsubsectioncount}{0}
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\setcounter{tocsubsubsubsectioncount}{0}
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% write
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{\hskip10pt\hyperlink{ln.\csname toc@subsec.\thetocsectioncount.\thetocsubsectioncount\endcsname}{{\bf \thetocsectioncount.\thetocsubsectioncount}.\hskip5pt {\color{blue}\small #1}\leaderfill#2}}\par
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}
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@ -654,6 +701,12 @@
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% write
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{\hskip20pt\hyperlink{ln.\csname toc@subsubsec.\thetocsectioncount.\thetocsubsectioncount.\thetocsubsubsectioncount\endcsname}{{\bf \thetocsectioncount.\thetocsubsectioncount.\thetocsubsubsectioncount}.\hskip5pt {\color{blue}\small #1}\leaderfill#2}}\par
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}
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\newcounter{tocsubsubsubsectioncount}
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\def\tocsubsubsubsection #1#2{
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\stepcounter{tocsubsubsubsectioncount}
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% write
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{\hskip30pt\hyperlink{ln.\csname toc@subsubsubsec.\thetocsectioncount.\thetocsubsectioncount.\thetocsubsubsectioncount.\thetocsubsubsubsectioncount\endcsname}{{\bf \thetocsectioncount.\thetocsubsectioncount.\thetocsubsubsectioncount.\thetocsubsubsubsectioncount}.\hskip5pt {\color{blue}\small #1}\leaderfill#2}}\par
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}
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\def\tocappendices{
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\medskip
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\setcounter{tocsectioncount}0
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@ -1,4 +1,4 @@
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%% Copyright 2021 Ian Jauslin
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%% Copyright 2021-2023 Ian Jauslin
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%%
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%% Licensed under the Apache License, Version 2.0 (the "License");
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%% you may not use this file except in compliance with the License.
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@ -1,4 +1,4 @@
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%% Copyright 2021 Ian Jauslin
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%% Copyright 2021-2023 Ian Jauslin
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%%
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%% Licensed under the Apache License, Version 2.0 (the "License");
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%% you may not use this file except in compliance with the License.
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@ -1,4 +1,4 @@
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%% Copyright 2021 Ian Jauslin
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%% Copyright 2021-2023 Ian Jauslin
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%%
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%% Licensed under the Apache License, Version 2.0 (the "License");
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%% you may not use this file except in compliance with the License.
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@ -33,12 +33,15 @@
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\newif\ifresetatsubsubsection
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\DeclareOption{reset_at_subsubsection}{\resetatsubsubsectiontrue}
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\DeclareOption{no_reset_at_subsubsection}{\resetatsubsubsectionfalse}
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\newif\ifresetatsubsubsubsection
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\DeclareOption{reset_at_subsubsubsection}{\resetatsubsubsubsectiontrue}
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\DeclareOption{no_reset_at_subsubsubsection}{\resetatsubsubsubsectionfalse}
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\newif\ifresetattheo
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\DeclareOption{reset_at_theo}{\resetattheotrue}
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\DeclareOption{no_reset_at_theo}{\resetattheofalse}
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\def\point@defaultoptions{
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\ExecuteOptions{reset_at_section, reset_at_subsection, reset_at_subsubsection, no_reset_at_theo}
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\ExecuteOptions{reset_at_section, reset_at_subsection, reset_at_subsubsection, reset_at_subsubsubsection, no_reset_at_theo}
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\ProcessOptions
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%% reset at every new section
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\let\point@oldsubsubsection\subsubsection
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\gdef\subsubsection{\resetpointcounter\point@oldsubsubsection}
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\fi
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%% reset at every new subsubsubsection
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\ifresetatsubsubsubsection
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\let\point@oldsubsubsubsection\subsubsubsection
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\gdef\subsubsubsection{\resetpointcounter\point@oldsubsubsubsection}
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\fi
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%% reset at every new theorem
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\ifresetattheo
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