Initial commit
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commit
dfaad7aaee
3129
Jauslin_2023c.tex
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3129
Jauslin_2023c.tex
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File diff suppressed because it is too large
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53
Makefile
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53
Makefile
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@ -0,0 +1,53 @@
|
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PROJECTNAME=$(basename $(wildcard *.tex))
|
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LIBS=$(notdir $(wildcard libs/*))
|
||||
FIGS=$(notdir $(wildcard figs/*.fig))
|
||||
|
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PDFS=$(addsuffix .pdf, $(PROJECTNAME))
|
||||
SYNCTEXS=$(addsuffix .synctex.gz, $(PROJECTNAME))
|
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|
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all: $(PROJECTNAME)
|
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|
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$(PROJECTNAME): $(LIBS) $(FIGS)
|
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pdflatex -file-line-error $@.tex
|
||||
pdflatex -file-line-error $@.tex
|
||||
pdflatex -synctex=1 $@.tex
|
||||
|
||||
$(PROJECTNAME).aux: $(LIBS) $(FIGS)
|
||||
pdflatex -file-line-error -draftmode $(PROJECTNAME).tex
|
||||
|
||||
|
||||
$(SYNCTEXS): $(LIBS) $(FIGS)
|
||||
pdflatex -synctex=1 $(patsubst %.synctex.gz, %.tex, $@)
|
||||
|
||||
|
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libs: $(LIBS)
|
||||
|
||||
$(LIBS):
|
||||
ln -fs libs/$@ ./
|
||||
|
||||
figs: $(FIGS)
|
||||
|
||||
$(FIGS):
|
||||
make -C figs/$@
|
||||
for pdf in $$(find figs/$@/ -name '*.pdf'); do ln -fs "$$pdf" ./ ; done
|
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|
||||
clean-aux: clean-figs-aux
|
||||
rm -f $(addsuffix .aux, $(PROJECTNAME))
|
||||
rm -f $(addsuffix .log, $(PROJECTNAME))
|
||||
rm -f $(addsuffix .out, $(PROJECTNAME))
|
||||
rm -f $(addsuffix .toc, $(PROJECTNAME))
|
||||
|
||||
clean-libs:
|
||||
rm -f $(LIBS)
|
||||
|
||||
clean-figs:
|
||||
$(foreach fig,$(addprefix figs/, $(FIGS)), make -C $(fig) clean; )
|
||||
rm -f $(notdir $(wildcard figs/*.fig/*.pdf))
|
||||
|
||||
clean-figs-aux:
|
||||
$(foreach fig,$(addprefix figs/, $(FIGS)), make -C $(fig) clean-aux; )
|
||||
|
||||
clean-tex:
|
||||
rm -f $(PDFS) $(SYNCTEXS)
|
||||
|
||||
clean: clean-aux clean-tex clean-libs clean-figs
|
||||
44
README
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44
README
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@ -0,0 +1,44 @@
|
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This directory contains the source files to typeset the article, and generate
|
||||
the figures. This can be accomplished by running
|
||||
make
|
||||
|
||||
The data pertaining to the Big, Medium and Simple equations in the figures were
|
||||
generated using 'simplesolv' which is available from
|
||||
http://ian.jauslin.org/software/simplesolv
|
||||
|
||||
This document uses a custom class file, located in the 'libs' directory, which
|
||||
defines a number of commands. Most of these are drop-in replacements for those
|
||||
defined in the 'article' class.
|
||||
|
||||
Some extra functionality is provided in custom style files, located in the
|
||||
'libs' directory.
|
||||
|
||||
|
||||
* Dependencies:
|
||||
|
||||
pdflatex
|
||||
TeXlive packages:
|
||||
amsfonts
|
||||
color
|
||||
etoolbox
|
||||
graphics
|
||||
hyperref
|
||||
latex
|
||||
marginnote
|
||||
pgf
|
||||
standalone
|
||||
xcolor
|
||||
gnuplot
|
||||
GNU make
|
||||
|
||||
* Files:
|
||||
|
||||
Jauslin_2023c.tex:
|
||||
main LaTeX file
|
||||
|
||||
libs:
|
||||
custom LaTeX class file
|
||||
|
||||
figs:
|
||||
source code for the figures
|
||||
|
||||
74
bibliography/bibliography.tex
Normal file
74
bibliography/bibliography.tex
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@ -0,0 +1,74 @@
|
||||
\bibitem[AEe95]{AEe95}M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell - {\it Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor}, Science, volume\-~269, issue\-~5221, pages\-~198-201, 1995,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1126/science.269.5221.198}{10.1126/science.269.5221.198}}.\par\medskip
|
||||
|
||||
\bibitem[BCS21]{BCS21}G. Basti, S. Cenatiempo, B. Schlein - {\it A new second-order upper bound for the ground state energy of dilute Bose gases}, Forum of Mathematics, Sigma, volume\-~9, number e74, 2021,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1017/fms.2021.66}{10.1017/fms.2021.66}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2101.06222}{2101.06222}}.\par\medskip
|
||||
|
||||
\bibitem[Bo47]{Bo47}N. Bogolubov - {\it On the theory of superfluidity}, Journal of Physics (USSR), volume\-~11, number\-~1, pages\-~23-32 (translated from the Russian Izv.Akad.Nauk Ser.Fiz, volume\-~11, pages\-~77-90), 1947.\par\medskip
|
||||
|
||||
\bibitem[Bo24]{Bo24}S.N. Bose - {\it Plancks Gesetz und Lichtquantenhypothese}, Weitschrift f\"ur Physik, volume\-~26, issue\-~1, pages\-~178-181, 1924,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/BF01327326}{10.1007/BF01327326}}.\par\medskip
|
||||
|
||||
\bibitem[CHe21]{CHe21}E.A. Carlen, M. Holzmann, I. Jauslin, E.H. Lieb - {\it Simplified approach to the repulsive Bose gas from low to high densities and its numerical accuracy}, Physical Review A, volume\-~103, issue\-~5, number\-~053309, 2021,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevA.103.053309}{10.1103/PhysRevA.103.053309}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2011.10869}{2011.10869}}.\par\medskip
|
||||
|
||||
\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
|
||||
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
|
||||
|
||||
\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
|
||||
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
|
||||
|
||||
\bibitem[DMe95]{DMe95}K.B. Davis, M.O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle - {\it Bose-Einstein Condensation in a Gas of Sodium Atoms}, Physical Review Letters, volume\-~75, issue\-~22, pages\-~3969-3973, 1995,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevLett.75.3969}{10.1103/PhysRevLett.75.3969}}.\par\medskip
|
||||
|
||||
\bibitem[Ei24]{Ei24}A. Einstein - {\it Quantentheorie des einatomigen idealen Gases}, Sitzungsberichte der Preussischen Akademie der Wissenschaften, volume\-~1, issue\-~3, 1924.\par\medskip
|
||||
|
||||
\bibitem[FS20]{FS20}S. Fournais, J.P. Solovej - {\it The energy of dilute Bose gases}, Annals of Mathematics, volume\-~192, issue\-~3, pages\-~893-976, 2020,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.4007/annals.2020.192.3.5}{10.4007/annals.2020.192.3.5}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1904.06164}{1904.06164}}.\par\medskip
|
||||
|
||||
\bibitem[FS23]{FS23}S. Fournais, J.P. Solovej - {\it The energy of dilute Bose gases II: the general case}, Inventiones mathematicae, volume\-~232, issue\-~2, pages\-~863-994, 2023,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/s00222-022-01175-0}{10.1007/s00222-022-01175-0}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2108.12022}{2108.12022}}.\par\medskip
|
||||
|
||||
\bibitem[Ga99]{Ga99}G. Gallavotti - {\it Statistical mechanics, a short treatise}, Springer, 1999.\par\medskip
|
||||
|
||||
\bibitem[Ja22]{Ja22}I. Jauslin - {\it Review of a Simplified Approach to study the Bose gas at all densities}, The Physics and Mathematics of Elliott Lieb, The\-~90th Anniversary Volume I, chapter\-~25, pages\-~609-635, ed. Rupert L. Frank, Ari Laptev, Mathieu Lewin, Robert Seiringer, EMS Press, 2022,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.4171/90-1/25}{10.4171/90-1/25}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2202.07637}{2202.07637}}.\par\medskip
|
||||
|
||||
\bibitem[Ja23]{Ja23b}I.\-~Jauslin - {\it Evidence of a liquid phase in interacting Bosons at intermediate densities}, 2023,\par\penalty10000
|
||||
arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2302.13449}{2302.13449}}.\par\medskip
|
||||
|
||||
\bibitem[Ja23b]{Ja23}I.\-~Jauslin - {\it The Simplified approach to the Bose gas without translation invariance}, 2023,\par\penalty10000
|
||||
arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2302.13446}{2302.13446}}.\par\medskip
|
||||
|
||||
\bibitem[LHY57]{LHY57}T.D. Lee, K. Huang, C.N. Yang - {\it Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties}, Physical Review, volume\-~106, issue\-~6, pages\-~1135-1145, 1957,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.106.1135}{10.1103/PhysRev.106.1135}}.\par\medskip
|
||||
|
||||
\bibitem[Li63]{Li63}E.H. Lieb - {\it Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas}, Physical Review, volume\-~130, issue\-~6, pages\-~2518-2528, 1963,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.130.2518}{10.1103/PhysRev.130.2518}}.\par\medskip
|
||||
|
||||
\bibitem[LL64]{LL64}E.H. Lieb, W. Liniger - {\it Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas. III. Application to the One-Dimensional Model}, Physical Review, volume\-~134, issue\-~2A, pages A312-A315, 1964,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.134.A312}{10.1103/PhysRev.134.A312}}.\par\medskip
|
||||
|
||||
\bibitem[LS64]{LS64}E.H. Lieb, A.Y. Sakakura - {\it Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas. II. Charged Bose Gas at High Density}, Physical Review, volume\-~133, issue\-~4A, pages A899-A906, 1964,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.133.A899}{10.1103/PhysRev.133.A899}}.\par\medskip
|
||||
|
||||
\bibitem[LY98]{LY98}E.H. Lieb, J. Yngvason - {\it Ground State Energy of the Low Density Bose Gas}, Physical Review Letters, volume\-~80, issue\-~12, pages\-~2504-2507, 1998,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevLett.80.2504}{10.1103/PhysRevLett.80.2504}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/cond-mat/9712138}{cond-mat/9712138}}.\par\medskip
|
||||
|
||||
\bibitem[Op31]{Op31}J.R. Oppenheimer - {\it Note on Light Quanta and the Electromagnetic Field}, Physical Review, volume\-~38, issue\-~4, pages\-~725-746, 1931,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.38.725}{10.1103/PhysRev.38.725}}.\par\medskip
|
||||
|
||||
\bibitem[Ru99]{Ru99}D. Ruelle - {\it Statistical mechanics: rigorous results}, Imperial College Press, World Scientific, (first edition: Benjamin, 1969), 1999.\par\medskip
|
||||
|
||||
\bibitem[Sc22]{Sc22}B. Schlein - {\it Bose gases in the Gross-Pitaevskii limit: A survey of some rigorous results}, The Physics and Mathematics of Elliott Lieb, The\-~90th anniversary volume II, eds R.L. Frank, A. Laptev, M. Lewin, R. Seiringer, pages\-~277-305, 2022,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.4171/90-2/40}{10.4171/90-2/40}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/2203.10855}{2203.10855}}.\par\medskip
|
||||
|
||||
\bibitem[Se11]{Se11}R. Seiringer - {\it The Excitation Spectrum for Weakly Interacting Bosons}, Communications in Mathematical Physics, volume\-~306, issue\-~2, pages\-~565-578, 2011,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/s00220-011-1261-6}{10.1007/s00220-011-1261-6}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1008.5349}{1008.5349}}.\par\medskip
|
||||
|
||||
\bibitem[YY09]{YY09}H. Yau, J. Yin - {\it The Second Order Upper Bound for the Ground Energy of a Bose Gas}, Journal of Statistical Physics, volume\-~136, issue\-~3, pages\-~453-503, 2009,\par\penalty10000
|
||||
doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/s10955-009-9792-3}{10.1007/s10955-009-9792-3}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/0903.5347}{0903.5347}}.\par\medskip
|
||||
|
||||
\bibitem[JaSS]{ss}I.\-~Jauslin - {\tt simplesolv} software package v0.4.1,\par\penalty10000
|
||||
{\tt\color{blue}\href{http://ian.jauslin.org/software/simplesolv}{http://ian.jauslin.org/software/simplesolv}}.\par\medskip
|
||||
|
||||
23
figs/bec_phase.fig/Makefile
Normal file
23
figs/bec_phase.fig/Makefile
Normal file
@ -0,0 +1,23 @@
|
||||
PROJECT=$(basename $(wildcard *.gnuplot))
|
||||
|
||||
all: $(addsuffix .pdf, $(PROJECT))
|
||||
|
||||
define gnuplot2pdf
|
||||
gnuplot $(1).gnuplot > $(1).tikz.tex
|
||||
pdflatex -jobname $(1) -file-line-error $(1).tikz.tex
|
||||
endef
|
||||
|
||||
bec_phase.pdf:
|
||||
$(call gnuplot2pdf, $(basename $@))
|
||||
|
||||
clean-aux:
|
||||
rm -f $(addsuffix .tikz.tex, $(PROJECT))
|
||||
rm -f *.aux *.log
|
||||
|
||||
clean-dat:
|
||||
rm -f phase_boundary.dat
|
||||
|
||||
clean-pdf:
|
||||
rm -f $(addsuffix .pdf, $(PROJECT))
|
||||
|
||||
clean: clean-aux clean-pdf
|
||||
32
figs/bec_phase.fig/bec_phase.gnuplot
Normal file
32
figs/bec_phase.fig/bec_phase.gnuplot
Normal file
@ -0,0 +1,32 @@
|
||||
set ylabel "$\\rho_m\\ (\\mathrm{g}/\\mathrm{cm}^3)$"
|
||||
set xlabel "$T\\ (\\mathrm{K})$"
|
||||
|
||||
set xrange[0:300]
|
||||
set yrange [0:20]
|
||||
|
||||
# default output canvas size: 12.5cm x 8.75cm
|
||||
set term lua tikz size 12.5,8.75 standalone
|
||||
|
||||
set key off
|
||||
|
||||
# set linestyle
|
||||
set style line 1 linetype rgbcolor "#4169E1" linewidth 3
|
||||
set style line 2 linetype rgbcolor "#DC143C" linewidth 3
|
||||
set style line 3 linetype rgbcolor "#32CD32" linewidth 3
|
||||
set style line 4 linetype rgbcolor "#4B0082" linewidth 3
|
||||
set style line 5 linetype rgbcolor "#DAA520" linewidth 3
|
||||
set style line 6 linetype rgbcolor "#000000" linewidth 3
|
||||
|
||||
set pointsize 0.6
|
||||
|
||||
set label "\\bf BEC" at 10,10 front textcolor "white"
|
||||
set label "\\bf Gas" at 150,10 front textcolor "white"
|
||||
|
||||
kb=1.380649e-23
|
||||
hbar=1.054571817e-34
|
||||
cst=0.05864362134764442
|
||||
m=1.66053906660e-27*4
|
||||
|
||||
plot (2*m/hbar/hbar*kb*x)**1.5*cst*m/1000 with filledcurves x2 linestyle 1 ,\
|
||||
(2*m/hbar/hbar*kb*x)**1.5*cst*m/1000 with filledcurves x1 linestyle 2, \
|
||||
(2*m/hbar/hbar*kb*x)**1.5*cst*m/1000 with lines linestyle 6
|
||||
8
figs/condensate.fig/2020-08-27+0.5.dat
Normal file
8
figs/condensate.fig/2020-08-27+0.5.dat
Normal file
@ -0,0 +1,8 @@
|
||||
# potential: 0.5 e^{-|x|}
|
||||
# rho E 1-eta Jastrow E
|
||||
1e-3 0.005189 0.978 0.005193
|
||||
5e-3 0.027389 0.961 0.027395
|
||||
1e-2 0.056223 0.959 0.05624
|
||||
2e-2 0.11530 0.954 0.11530
|
||||
1e-1 0.6037 0.953 0.60377
|
||||
1e+0 6.221 0.97 6.22
|
||||
37
figs/condensate.fig/Makefile
Normal file
37
figs/condensate.fig/Makefile
Normal file
@ -0,0 +1,37 @@
|
||||
PROJECTNAME=condensate
|
||||
|
||||
SIMPLESOLV= # path/to/simplesolv
|
||||
|
||||
DATS=simpleq.dat medeq.dat bigeq.dat
|
||||
PDFS=$(addsuffix .pdf, $(PROJECTNAME))
|
||||
TEXS=$(addsuffix .tikz.tex, $(PROJECTNAME))
|
||||
|
||||
all: $(PDFS)
|
||||
|
||||
$(PDFS): $(DATS)
|
||||
gnuplot $(patsubst %.pdf, %.gnuplot, $@) > $(patsubst %.pdf, %.tikz.tex, $@)
|
||||
pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@)
|
||||
|
||||
simpleq.dat:
|
||||
julia $(SIMPLESOLV)/main.jl -p "eq=simpleq;tolerance=1e-11;order=100;maxiter=100;v_a=0.5;minlrho=-6;nlrho=100;maxlrho=2" -M easyeq -U exp condensate_fraction_rho > $@
|
||||
medeq.dat:
|
||||
julia $(SIMPLESOLV)/main.jl -p "eq=medeq;tolerance=1e-11;order=100;maxiter=100;v_a=0.5;minlrho=-6;nlrho=100;maxlrho=2" -M easyeq -U exp condensate_fraction_rho > $@
|
||||
bigeq.dat:
|
||||
julia -p 8 $(SIMPLESOLV)/main.jl -p "eq=bigeq;N=12;P=8;J=10;tolerance=1e-11;maxiter=21;v_a=0.5;minlrho=-6;nlrho=100;maxlrho=2" -M anyeq -U exp condensate_fraction_rho > $@
|
||||
|
||||
|
||||
install: $(PDFS)
|
||||
cp $^ $(INSTALLDIR)/
|
||||
|
||||
clean-aux:
|
||||
rm -f $(addsuffix .tikz.tex, $(PROJECTNAME))
|
||||
rm -f $(addsuffix .aux, $(PROJECTNAME))
|
||||
rm -f $(addsuffix .log, $(PROJECTNAME))
|
||||
|
||||
clean-dat:
|
||||
rm -f $(DATS)
|
||||
|
||||
clean-tex:
|
||||
rm -f $(PDFS)
|
||||
|
||||
clean: clean-aux clean-tex
|
||||
100
figs/condensate.fig/bigeq.dat
Normal file
100
figs/condensate.fig/bigeq.dat
Normal file
@ -0,0 +1,100 @@
|
||||
1.000000000000000e-06 9.359600849904642e-04 4.769492271009877e-12
|
||||
1.204503540258781e-06 1.026263695589573e-03 3.419474268720360e-12
|
||||
1.450828778495940e-06 1.128447423932415e-03 1.284844855728227e-12
|
||||
1.747528400007683e-06 1.243211901088135e-03 6.036870814265909e-14
|
||||
2.104904144512022e-06 1.371540352505089e-03 1.465826916259999e-12
|
||||
2.535364493970111e-06 1.514563172953764e-03 5.278911635708756e-12
|
||||
3.053855508833412e-06 1.673162936456016e-03 6.438854837197395e-12
|
||||
3.678379771828634e-06 1.847621600906275e-03 3.277884092656937e-12
|
||||
4.430621457583877e-06 2.037906626012430e-03 6.922442639580641e-13
|
||||
5.336699231206313e-06 2.244403765508714e-03 4.301594724689213e-14
|
||||
6.428073117284319e-06 2.468275249347463e-03 3.149478739794029e-14
|
||||
7.742636826811277e-06 2.711300000206942e-03 1.692972150200860e-14
|
||||
9.326033468832200e-06 2.975586773983234e-03 2.485257044540253e-14
|
||||
1.123324032978027e-05 3.263387610365739e-03 5.798705939542849e-14
|
||||
1.353047774579808e-05 3.577021358160436e-03 1.007850792994357e-13
|
||||
1.629750834620643e-05 3.918861287982854e-03 1.180879418675055e-13
|
||||
1.963040650040272e-05 4.291351386383927e-03 1.164548699163096e-13
|
||||
2.364489412645407e-05 4.697030635602372e-03 9.993404840576712e-14
|
||||
2.848035868435805e-05 5.138553215636342e-03 7.889857713883516e-14
|
||||
3.430469286314919e-05 5.618698153738680e-03 5.544933866100784e-14
|
||||
4.132012400115334e-05 6.140366567754929e-03 3.505040625564625e-14
|
||||
4.977023564332114e-05 6.706568098963386e-03 2.719353007326749e-14
|
||||
5.994842503189409e-05 7.320399534465997e-03 2.419046911428554e-14
|
||||
7.220809018385471e-05 7.985017865199253e-03 2.911321693643152e-14
|
||||
8.697490026177834e-05 8.703608059981844e-03 1.665264019357716e-14
|
||||
1.047615752789665e-04 9.479343964932427e-03 1.735486882457866e-14
|
||||
1.261856883066021e-04 1.031533974401874e-02 1.231730471561613e-14
|
||||
1.519911082952935e-04 1.121458911634652e-02 1.063694582767876e-14
|
||||
1.830738280295370e-04 1.217988982497501e-02 2.605952558828706e-14
|
||||
2.205130739903046e-04 1.321375095073367e-02 1.948459628184608e-14
|
||||
2.656087782946686e-04 1.431828101890961e-02 2.204861946752505e-14
|
||||
3.199267137797384e-04 1.549505586477500e-02 3.187650388653336e-14
|
||||
3.853528593710532e-04 1.674496732600098e-02 3.041558319770699e-14
|
||||
4.641588833612782e-04 1.806805674261242e-02 3.132688775353608e-14
|
||||
5.590810182512228e-04 1.946333993043477e-02 3.849130191836202e-14
|
||||
6.734150657750828e-04 2.092863160214499e-02 5.858344140792253e-14
|
||||
8.111308307896872e-04 2.246037686139622e-02 8.179691054969686e-14
|
||||
9.770099572992256e-04 2.405349636533224e-02 1.097457892783796e-13
|
||||
1.176811952434999e-03 2.570125163577371e-02 1.510104805632382e-13
|
||||
1.417474162926806e-03 2.739513888148153e-02 2.017323906157568e-13
|
||||
1.707352647470692e-03 2.912482328833103e-02 2.635554179184661e-13
|
||||
2.056512308348653e-03 3.087812926296352e-02 3.398621654197443e-13
|
||||
2.477076355991711e-03 3.264110309962052e-02 4.285413087823841e-13
|
||||
2.983647240283340e-03 3.439816133650226e-02 5.302517700005698e-13
|
||||
3.593813663804629e-03 3.613233114795761e-02 6.403992903217449e-13
|
||||
4.328761281083062e-03 3.782558079607085e-02 7.571924192093096e-13
|
||||
5.214008287999690e-03 3.945923077971335e-02 8.735665611670509e-13
|
||||
6.280291441834260e-03 4.101443056577509e-02 9.852419079005244e-13
|
||||
7.564633275546291e-03 4.247268081094784e-02 1.086591967833584e-12
|
||||
9.111627561154896e-03 4.381637597402372e-02 1.171028110980761e-12
|
||||
1.097498765493057e-02 4.502933773539811e-02 1.235182529056386e-12
|
||||
1.321941148466031e-02 4.609730735888347e-02 1.273413495244793e-12
|
||||
1.592282793341094e-02 4.700836649313180e-02 1.288870490747045e-12
|
||||
1.917910261672489e-02 4.775326110412755e-02 1.277774794460160e-12
|
||||
2.310129700083163e-02 4.832561126937697e-02 1.245436832753992e-12
|
||||
2.782559402207126e-02 4.872199901018250e-02 1.194094596784815e-12
|
||||
3.351602650938848e-02 4.894193587141005e-02 1.129149381775895e-12
|
||||
4.037017258596558e-02 4.898772053354203e-02 1.056418952921306e-12
|
||||
4.862601580065354e-02 4.886420356210291e-02 9.797825696635614e-13
|
||||
5.857020818056673e-02 4.857848093382484e-02 9.036039641219436e-13
|
||||
7.054802310718646e-02 4.813954002928141e-02 8.309184154224132e-13
|
||||
8.497534359086456e-02 4.755788150120432e-02 7.632736986718884e-13
|
||||
1.023531021899027e-01 4.684513825031006e-02 7.009835850851132e-13
|
||||
1.232846739442068e-01 4.601370925687214e-02 6.445926849679039e-13
|
||||
1.484968262254467e-01 4.507642184667945e-02 5.938594915648704e-13
|
||||
1.788649529057435e-01 4.404623166683212e-02 5.471692016966516e-13
|
||||
2.154434690031887e-01 4.293596563723694e-02 5.037037371246892e-13
|
||||
2.595024211399737e-01 4.175810970901533e-02 4.628803528432183e-13
|
||||
3.125715849688241e-01 4.052464054410850e-02 4.243706234593440e-13
|
||||
3.764935806792471e-01 3.924689825998715e-02 3.870128277902043e-13
|
||||
4.534878508128591e-01 3.793549610670589e-02 3.506993848968064e-13
|
||||
5.462277217684348e-01 3.660026225836260e-02 3.158617612429666e-13
|
||||
6.579332246575682e-01 3.525020868323555e-02 2.820376102788483e-13
|
||||
7.924828983539185e-01 3.389352218106337e-02 2.495811928366868e-13
|
||||
9.545484566618347e-01 3.253757302873513e-02 2.187355418163057e-13
|
||||
1.149756995397738e+00 3.118893716272646e-02 1.896018293540065e-13
|
||||
1.384886371393875e+00 2.985342837493234e-02 1.627002158331657e-13
|
||||
1.668100537200059e+00 2.853613755533530e-02 1.381782671776070e-13
|
||||
2.009233002565050e+00 2.724147654488262e-02 1.162433870344956e-13
|
||||
2.420128264794383e+00 2.597322464354741e-02 9.667411489592391e-14
|
||||
2.915053062825182e+00 2.473457624087447e-02 7.921718375131266e-14
|
||||
3.511191734215135e+00 2.352818839610205e-02 6.467146452368413e-14
|
||||
4.229242874389508e+00 2.235622749416585e-02 5.197716963886527e-14
|
||||
5.094138014816386e+00 2.122041434752589e-02 4.164284351060715e-14
|
||||
6.135907273413176e+00 2.012206730828386e-02 3.267501010541636e-14
|
||||
7.390722033525790e+00 1.906214310748888e-02 2.631758984864249e-14
|
||||
8.902150854450392e+00 1.804127525584338e-02 1.984138301410465e-14
|
||||
1.072267222010325e+01 1.705980992860735e-02 1.572328524590868e-14
|
||||
1.291549665014885e+01 1.611783932288287e-02 1.184638961517491e-14
|
||||
1.555676143930475e+01 1.521523252238974e-02 9.222802498318025e-15
|
||||
1.873817422860387e+01 1.435166393772974e-02 7.775425060459825e-15
|
||||
2.257019719633922e+01 1.352663941296484e-02 5.807567740486978e-15
|
||||
2.718588242732946e+01 1.273952010501215e-02 5.266597955329656e-15
|
||||
3.274549162877732e+01 1.198954425222880e-02 4.772515936081468e-15
|
||||
3.944206059437664e+01 1.127584695317193e-02 4.990759746751970e-15
|
||||
4.750810162102803e+01 1.059747807695462e-02 4.465420870908758e-15
|
||||
5.722367659350220e+01 9.953418424741895e-03 5.050460646392378e-15
|
||||
6.892612104349709e+01 9.342594259386548e-03 4.878151124718388e-15
|
||||
8.302175681319753e+01 8.763890317430715e-03 6.408523490975994e-15
|
||||
1.000000000000000e+02 8.216161414267099e-03 7.308726309426102e-15
|
||||
41
figs/condensate.fig/condensate.gnuplot
Normal file
41
figs/condensate.fig/condensate.gnuplot
Normal file
@ -0,0 +1,41 @@
|
||||
set ylabel "$\\eta$" norotate offset -1,0
|
||||
set xlabel "$\\rho$"
|
||||
|
||||
set xtics 1e-6, 100, 100
|
||||
set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100)
|
||||
unset mxtics
|
||||
|
||||
#set ytics 0.6, 0.1
|
||||
set mytics 2
|
||||
|
||||
set xrange [4e-8:100]
|
||||
|
||||
set yrange [:0.06]
|
||||
|
||||
# default output canvas size: 12.5cm x 8.75cm
|
||||
set term lua tikz size 8,6 standalone
|
||||
|
||||
set key top left box linetype rgbcolor"#999999" width 0.3 height 0.3 spacing 1.3
|
||||
|
||||
|
||||
# set linestyle
|
||||
set style line 1 linetype rgbcolor "#4169E1" linewidth 2 dashtype "."
|
||||
set style line 2 linetype rgbcolor "#DC143C" linewidth 2
|
||||
set style line 3 linetype rgbcolor "#32CD32" linewidth 2 dashtype "-"
|
||||
set style line 4 linetype rgbcolor "#4B0082" linewidth 2
|
||||
set style line 5 linetype rgbcolor "#DAA520" linewidth 2
|
||||
set style line 6 linetype rgbcolor "#999999" linewidth 1.5 dashtype (1,5)
|
||||
|
||||
set pointsize 1
|
||||
|
||||
set logscale x
|
||||
|
||||
a=0.7666858699084325
|
||||
|
||||
plot \
|
||||
"simpleq.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 1 title "simple",\
|
||||
"medeq.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 3 title "med",\
|
||||
"bigeq.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 5 title "big",\
|
||||
"2020-08-27+0.5.dat" using 1:(1-$3) with points ls 2 title "QMC" ,\
|
||||
8./(3*sqrt(pi))*sqrt(x*a**3) ls 6 title "Bog"
|
||||
|
||||
100
figs/condensate.fig/medeq.dat
Normal file
100
figs/condensate.fig/medeq.dat
Normal file
@ -0,0 +1,100 @@
|
||||
1.000000000000000e-06 9.996791129944504e-04 2.557931963013874e-14
|
||||
1.204503540258781e-06 1.096049436651035e-03 1.355586210122227e-14
|
||||
1.450828778495940e-06 1.201592925494163e-03 1.225664725981035e-14
|
||||
1.747528400007683e-06 1.317158886205431e-03 1.598257741770033e-14
|
||||
2.104904144512022e-06 1.443670377419786e-03 1.553247893694121e-14
|
||||
2.535364493970111e-06 1.582129599439783e-03 2.230882620498033e-14
|
||||
3.053855508833412e-06 1.733623466010337e-03 1.130567634193424e-14
|
||||
3.678379771828634e-06 1.899329292079710e-03 9.168136807150408e-15
|
||||
4.430621457583877e-06 2.080520546462278e-03 8.941527845815565e-15
|
||||
5.336699231206313e-06 2.278572579850316e-03 1.057140657470087e-14
|
||||
6.428073117284319e-06 2.494968213624501e-03 1.682809007854741e-14
|
||||
7.742636826811277e-06 2.731303057010942e-03 2.158235509128861e-14
|
||||
9.326033468832200e-06 2.989290379430286e-03 1.790773201737819e-14
|
||||
1.123324032978027e-05 3.270765323019602e-03 8.353808266989640e-15
|
||||
1.353047774579808e-05 3.577688205084459e-03 1.537411550943667e-14
|
||||
1.629750834620643e-05 3.912146595755733e-03 2.046675609084057e-14
|
||||
1.963040650040272e-05 4.276355807866374e-03 1.041375984263633e-14
|
||||
2.364489412645407e-05 4.672657361346675e-03 9.442898908309776e-15
|
||||
2.848035868435805e-05 5.103514918385979e-03 2.177252388925799e-14
|
||||
3.430469286314919e-05 5.571507106520763e-03 1.355385365967878e-14
|
||||
4.132012400115334e-05 6.079316564191177e-03 1.722006710295469e-14
|
||||
4.977023564332114e-05 6.629714464411829e-03 2.564684275801428e-14
|
||||
5.994842503189409e-05 7.225539694523696e-03 2.554501333168433e-14
|
||||
7.220809018385471e-05 7.869671803804573e-03 1.695787882394503e-14
|
||||
8.697490026177834e-05 8.564996782016131e-03 2.658873849714075e-14
|
||||
1.047615752789665e-04 9.314364714811455e-03 1.779936391415356e-14
|
||||
1.261856883066021e-04 1.012053838540738e-02 1.064230135425228e-14
|
||||
1.519911082952935e-04 1.098613197565795e-02 1.050862880239978e-14
|
||||
1.830738280295370e-04 1.191353918034108e-02 1.040613731113704e-14
|
||||
2.205130739903046e-04 1.290485030633865e-02 2.586423292095546e-14
|
||||
2.656087782946686e-04 1.396175830412725e-02 7.930149545878445e-15
|
||||
3.199267137797384e-04 1.508545419022795e-02 1.499526619451621e-14
|
||||
3.853528593710532e-04 1.627651297921249e-02 1.342770747306005e-14
|
||||
4.641588833612782e-04 1.753477205586265e-02 1.023634881457026e-14
|
||||
5.590810182512228e-04 1.885920487130150e-02 2.765339435610944e-14
|
||||
6.734150657750828e-04 2.024779391078134e-02 2.653388108030865e-14
|
||||
8.111308307896872e-04 2.169740800017178e-02 1.848982302504943e-14
|
||||
9.770099572992256e-04 2.320369010996182e-02 2.747019587550595e-14
|
||||
1.176811952434999e-03 2.476096276850066e-02 2.631955909658123e-14
|
||||
1.417474162926806e-03 2.636215887515920e-02 4.192924768382370e-14
|
||||
1.707352647470692e-03 2.799878596045715e-02 4.649229473307887e-14
|
||||
2.056512308348653e-03 2.966093162880884e-02 6.191374939655213e-14
|
||||
2.477076355991711e-03 3.133731692136629e-02 7.068211838210129e-14
|
||||
2.983647240283340e-03 3.301540258494108e-02 7.718681628555673e-14
|
||||
3.593813663804629e-03 3.468155073934840e-02 9.014213841818372e-14
|
||||
4.328761281083062e-03 3.632124130749526e-02 9.213412330662208e-14
|
||||
5.214008287999690e-03 3.791933902058761e-02 9.925880092027974e-14
|
||||
6.280291441834260e-03 3.946040313698177e-02 9.578046008585107e-14
|
||||
7.564633275546291e-03 4.092902858078346e-02 9.882381245478129e-14
|
||||
9.111627561154896e-03 4.231020439338591e-02 9.583441188473053e-14
|
||||
1.097498765493057e-02 4.358967353465550e-02 9.098040840969979e-14
|
||||
1.321941148466031e-02 4.475427741179566e-02 9.678591042746094e-14
|
||||
1.592282793341094e-02 4.579226915716316e-02 9.326011061107550e-14
|
||||
1.917910261672489e-02 4.669358156904567e-02 7.331622846406362e-14
|
||||
2.310129700083163e-02 4.745003857001830e-02 1.004886478194426e-13
|
||||
2.782559402207126e-02 4.805550270779536e-02 1.626260746562471e-13
|
||||
3.351602650938848e-02 4.850595523928645e-02 9.884079547955751e-14
|
||||
4.037017258596558e-02 4.879950930719656e-02 4.899835384093640e-14
|
||||
4.862601580065354e-02 4.893636029209755e-02 1.158300702496511e-13
|
||||
5.857020818056673e-02 4.891868033797851e-02 1.404794135720631e-13
|
||||
7.054802310718646e-02 4.875046614785260e-02 1.193502330145474e-13
|
||||
8.497534359086456e-02 4.843735037753481e-02 7.734701506796261e-14
|
||||
1.023531021899027e-01 4.798638736345803e-02 1.367368238191298e-13
|
||||
1.232846739442068e-01 4.740582361759487e-02 1.353051430921332e-13
|
||||
1.484968262254467e-01 4.670486266467164e-02 1.832731817846543e-13
|
||||
1.788649529057435e-01 4.589343255502206e-02 3.066390750316590e-14
|
||||
2.154434690031887e-01 4.498196292580856e-02 6.517966790521386e-14
|
||||
2.595024211399737e-01 4.398117694794734e-02 2.857300074064858e-13
|
||||
3.125715849688241e-01 4.290190200047433e-02 6.057279032265316e-14
|
||||
3.764935806792471e-01 4.175490154059995e-02 2.150561858500172e-13
|
||||
4.534878508128591e-01 4.055072943826252e-02 2.334716001099137e-13
|
||||
5.462277217684348e-01 3.929960704428494e-02 1.688305245302381e-13
|
||||
6.579332246575682e-01 3.801132246640253e-02 1.257445370556883e-13
|
||||
7.924828983539185e-01 3.669515092787165e-02 8.482067596460347e-14
|
||||
9.545484566618347e-01 3.535979465988242e-02 6.260799489717194e-14
|
||||
1.149756995397738e+00 3.401334050728797e-02 1.388898699470944e-13
|
||||
1.384886371393875e+00 3.266323328114151e-02 5.217375800077936e-14
|
||||
1.668100537200059e+00 3.131626284552911e-02 1.058532162705175e-13
|
||||
2.009233002565050e+00 2.997856295680849e-02 1.183201106668820e-13
|
||||
2.420128264794383e+00 2.865561995980962e-02 1.916282323021867e-13
|
||||
2.915053062825182e+00 2.735228957047526e-02 2.401075615256400e-13
|
||||
3.511191734215135e+00 2.607282012357442e-02 6.768342085868621e-14
|
||||
4.229242874389508e+00 2.482088082609937e-02 4.427738166642347e-14
|
||||
5.094138014816386e+00 2.359959372331891e-02 6.448026250099959e-14
|
||||
6.135907273413176e+00 2.241156824856846e-02 4.785349542559038e-14
|
||||
7.390722033525790e+00 2.125893738534662e-02 3.832227225640614e-14
|
||||
8.902150854450392e+00 2.014339461795944e-02 5.051785040371460e-14
|
||||
1.072267222010325e+01 1.906623098298113e-02 3.342852165598801e-14
|
||||
1.291549665014885e+01 1.802837165716611e-02 3.021999189499210e-14
|
||||
1.555676143930475e+01 1.703041162783852e-02 3.517218008665782e-14
|
||||
1.873817422860387e+01 1.607265008934711e-02 2.779265483678629e-14
|
||||
2.257019719633922e+01 1.515512329437188e-02 3.661072404698132e-14
|
||||
2.718588242732946e+01 1.427763566252462e-02 2.505773910434884e-14
|
||||
3.274549162877732e+01 1.343978901163045e-02 2.646428876071254e-14
|
||||
3.944206059437664e+01 1.264100983004557e-02 3.041915433078313e-14
|
||||
4.750810162102803e+01 1.188057455279659e-02 3.427011953168885e-14
|
||||
5.722367659350220e+01 1.115763284061530e-02 1.462980764856655e-14
|
||||
6.892612104349709e+01 1.047122889035441e-02 1.703446938372462e-14
|
||||
8.302175681319753e+01 9.820320828790861e-03 1.204047088593689e-14
|
||||
1.000000000000000e+02 9.203798259569440e-03 1.635211949437703e-14
|
||||
100
figs/condensate.fig/simpleq.dat
Normal file
100
figs/condensate.fig/simpleq.dat
Normal file
@ -0,0 +1,100 @@
|
||||
1.000000000000000e-06 9.996424492413445e-04 1.764759176311575e-14
|
||||
1.204503540258781e-06 1.096001013555385e-03 1.360330251518952e-14
|
||||
1.450828778495940e-06 1.201528977296280e-03 1.511853126044587e-14
|
||||
1.747528400007683e-06 1.317074443462207e-03 1.398012403932306e-14
|
||||
2.104904144512022e-06 1.443558883983310e-03 1.174135635838584e-14
|
||||
2.535364493970111e-06 1.581982409476399e-03 1.181166625368473e-14
|
||||
3.053855508833412e-06 1.733429176972252e-03 9.520703346967522e-15
|
||||
3.678379771828634e-06 1.899072870049523e-03 1.477199840405002e-14
|
||||
4.430621457583877e-06 2.080182180878662e-03 1.555717915012738e-14
|
||||
5.336699231206313e-06 2.278126167047934e-03 1.273777677157719e-14
|
||||
6.428073117284319e-06 2.494379372804907e-03 3.605743526003532e-14
|
||||
7.742636826811277e-06 2.730526524861480e-03 1.273126964384903e-14
|
||||
9.326033468832200e-06 2.988266590984414e-03 1.179431416269387e-14
|
||||
1.123324032978027e-05 3.269415931338325e-03 3.009912003938589e-14
|
||||
1.353047774579808e-05 3.575910216030217e-03 1.579076143644659e-14
|
||||
1.629750834620643e-05 3.909804697962793e-03 3.730268686545136e-14
|
||||
1.963040650040272e-05 4.273272355038325e-03 1.470889658974739e-14
|
||||
2.364489412645407e-05 4.668599307299607e-03 9.145997557683504e-15
|
||||
2.848035868435805e-05 5.098176805219534e-03 8.754476215748694e-15
|
||||
3.430469286314919e-05 5.564488954016774e-03 3.422903494299122e-14
|
||||
4.132012400115334e-05 6.070095190679457e-03 1.385647031053645e-14
|
||||
4.977023564332114e-05 6.617606375004298e-03 2.379884179398437e-14
|
||||
5.994842503189409e-05 7.209653182792970e-03 1.163784247112438e-14
|
||||
7.220809018385471e-05 7.848845316025112e-03 1.366179095989315e-14
|
||||
8.697490026177834e-05 8.537719871613364e-03 3.724398029631456e-14
|
||||
1.047615752789665e-04 9.278677057124136e-03 2.637784295161166e-14
|
||||
1.261856883066021e-04 1.007390132322578e-02 2.875290168691377e-14
|
||||
1.519911082952935e-04 1.092526592922949e-02 9.550015107655818e-15
|
||||
1.830738280295370e-04 1.183421900407458e-02 1.556938853519043e-14
|
||||
2.205130739903046e-04 1.280164935858642e-02 1.133497198439562e-14
|
||||
2.656087782946686e-04 1.382773070471037e-02 2.102757238598711e-14
|
||||
3.199267137797384e-04 1.491174361453737e-02 1.747385725694730e-14
|
||||
3.853528593710532e-04 1.605187558858611e-02 3.503968870559619e-14
|
||||
4.641588833612782e-04 1.724500108618770e-02 2.577675521047174e-14
|
||||
5.590810182512228e-04 1.848644538752444e-02 2.633781063728848e-14
|
||||
6.734150657750828e-04 1.976973877688861e-02 5.765008312068870e-14
|
||||
8.111308307896872e-04 2.108637079535263e-02 5.002689197753296e-14
|
||||
9.770099572992256e-04 2.242555818087449e-02 4.549652970901848e-14
|
||||
1.176811952434999e-03 2.377404447180944e-02 6.074569458022591e-14
|
||||
1.417474162926806e-03 2.511595383967233e-02 7.470825186502400e-14
|
||||
1.707352647470692e-03 2.643272611340524e-02 9.450916280070913e-14
|
||||
2.056512308348653e-03 2.770316353956248e-02 1.410077534930732e-13
|
||||
2.477076355991711e-03 2.890362176935628e-02 1.423716131544454e-13
|
||||
2.983647240283340e-03 3.000837688190761e-02 1.595493501115812e-13
|
||||
3.593813663804629e-03 3.099019585668598e-02 1.806286227436093e-13
|
||||
4.328761281083062e-03 3.182112875076496e-02 1.949041586584519e-13
|
||||
5.214008287999690e-03 3.247352610820262e-02 2.075376358361723e-13
|
||||
6.280291441834260e-03 3.292126450953487e-02 2.097280315607298e-13
|
||||
7.564633275546291e-03 3.314113712774110e-02 2.102377272944846e-13
|
||||
9.111627561154896e-03 3.311433626998512e-02 2.048093670216979e-13
|
||||
1.097498765493057e-02 3.282792412885498e-02 1.821161001879597e-13
|
||||
1.321941148466031e-02 3.227616088890418e-02 1.641674569369241e-13
|
||||
1.592282793341094e-02 3.146154192774165e-02 1.642471936112894e-13
|
||||
1.917910261672489e-02 3.039539490386634e-02 1.077017630747162e-13
|
||||
2.310129700083163e-02 2.909790920429372e-02 1.042858235956985e-13
|
||||
2.782559402207126e-02 2.759751788973380e-02 7.313497091246187e-14
|
||||
3.351602650938848e-02 2.592962395397779e-02 1.117243155569794e-13
|
||||
4.037017258596558e-02 2.413474933889352e-02 3.786523359460530e-14
|
||||
4.862601580065354e-02 2.225627088953894e-02 9.763534810219167e-14
|
||||
5.857020818056673e-02 2.033797305146236e-02 1.393944774363172e-13
|
||||
7.054802310718646e-02 1.842167577708929e-02 1.290640226679569e-13
|
||||
8.497534359086456e-02 1.654517954574511e-02 4.239297011558011e-14
|
||||
1.023531021899027e-01 1.474071139272134e-02 3.350303133819670e-14
|
||||
1.232846739442068e-01 1.303397115319994e-02 2.127029298452714e-14
|
||||
1.484968262254467e-01 1.144378625612702e-02 1.298865572632030e-13
|
||||
1.788649529057435e-01 9.982305675311789e-03 4.628798108219644e-14
|
||||
2.154434690031887e-01 8.655611739259588e-03 6.397932094160475e-14
|
||||
2.595024211399737e-01 7.464606327886387e-03 2.423414069966775e-14
|
||||
3.125715849688241e-01 6.406031898422801e-03 3.322679851805106e-14
|
||||
3.764935806792471e-01 5.473509731319831e-03 7.851470577498406e-14
|
||||
4.534878508128591e-01 4.658508680724053e-03 4.204308511778128e-14
|
||||
5.462277217684348e-01 3.951189863400293e-03 8.182090425997793e-14
|
||||
6.579332246575682e-01 3.341100968666214e-03 1.367949706889028e-14
|
||||
7.924828983539185e-01 2.817715655193649e-03 3.130105820855755e-14
|
||||
9.545484566618347e-01 2.370828286066013e-03 4.068933970043888e-14
|
||||
1.149756995397738e+00 1.990822788966108e-03 1.175966182104011e-14
|
||||
1.384886371393875e+00 1.668838066159566e-03 5.973905268190146e-14
|
||||
1.668100537200059e+00 1.396852592590819e-03 1.077505663391400e-13
|
||||
2.009233002565050e+00 1.167708942604489e-03 9.617247230343784e-15
|
||||
2.420128264794383e+00 9.750960054767535e-04 1.332892817532053e-14
|
||||
2.915053062825182e+00 8.135033134750610e-04 7.070633698527270e-15
|
||||
3.511191734215135e+00 6.781586746197346e-04 8.192151573803895e-15
|
||||
4.229242874389508e+00 5.649574306198204e-04 2.173395402515360e-14
|
||||
5.094138014816386e+00 4.703892580579609e-04 3.221397384087175e-15
|
||||
6.135907273413176e+00 3.914665137901705e-04 2.465093210577484e-15
|
||||
7.390722033525790e+00 3.256566560554041e-04 1.054195282267954e-13
|
||||
8.902150854450392e+00 2.708201876121645e-04 1.763579120526998e-15
|
||||
1.072267222010325e+01 2.251547953209304e-04 1.048264548971050e-13
|
||||
1.291549665014885e+01 1.871458338265689e-04 9.947599265439233e-15
|
||||
1.555676143930475e+01 1.555229594282470e-04 1.158199515173392e-15
|
||||
1.873817422860387e+01 1.292225141205694e-04 9.319604832811551e-16
|
||||
2.257019719633922e+01 1.073551496286977e-04 5.244863713602307e-14
|
||||
2.718588242732946e+01 8.917813671942175e-05 4.169604052705751e-16
|
||||
3.274549162877732e+01 7.407180357771646e-05 5.251294860012204e-14
|
||||
3.944206059437664e+01 6.151957225656779e-05 5.364972970438718e-14
|
||||
4.750810162102803e+01 5.109110263615562e-05 2.702282606280617e-16
|
||||
5.722367659350220e+01 4.242810110983234e-05 2.445655240740449e-15
|
||||
6.892612104349709e+01 3.523240116597968e-05 3.302696900260679e-16
|
||||
8.302175681319753e+01 2.925597188965025e-05 9.050712276340781e-12
|
||||
1.000000000000000e+02 2.429255623845345e-05 6.242595970465304e-12
|
||||
15
figs/energy.fig/2020-10-15+energy.dat
Normal file
15
figs/energy.fig/2020-10-15+energy.dat
Normal file
@ -0,0 +1,15 @@
|
||||
# Potential: e^{-|x|}
|
||||
# rho E E+dE eta eta+deta Jastrow E Jastrow E+dE Jastrow eta Jastrow eta+deta
|
||||
1e-6 7.90e-6 7.91e-6
|
||||
1e-4 8.344e-4 8.345e-4 0.017 0.018 8.355e-4 8.356e-4 0.015 0.016
|
||||
1e-3 9.1338e-3 9.1339e-3 0.048 0.049 9.142e-3 9.143e-3 0.045 0.046
|
||||
5e-3 5.0613e-2 5.0614e-2 0.080 0.081 5.0648e-2 5.0649e-2 0.070 0.071
|
||||
1e-2 1.06107e-1 1.06108e-1 0.087 0.088 1.0627e-1 1.0628e-1 0.073 0.074
|
||||
1.5e-2 1.6337e-1 1.6338e-1 0.090 0.091 1.6342e-1 1.6343e-1 0.088 0.089
|
||||
2e-2 2.2162e-1 2.2163e-1 0.093 0.094 2.2169e-1 2.2170e-1 0.090 0.091
|
||||
5e-2 5.8044e-1 5.8045e-1 0.091 0.092 5.8046e-1 5.8047e-1 0.091 0.092
|
||||
1e-1 1.1918e+0 1.1919e+0 0.088 0.089 1.1919e+0 1.1920e+0 0.085 0.086
|
||||
1e-0 1.2430e+1 1.2431e+1 0.058 0.059 1.245e+1 1.246e+1 0.05 0.06
|
||||
1e+1 1.2544e+2 1.2545e+2 0.031 0.032
|
||||
5e+1 6.2803e+2 6.2804e+2 0.02 0.03
|
||||
|
||||
37
figs/energy.fig/Makefile
Normal file
37
figs/energy.fig/Makefile
Normal file
@ -0,0 +1,37 @@
|
||||
PROJECTNAME=energy
|
||||
|
||||
SIMPLESOLV= # path/to/simplesolv
|
||||
|
||||
DATS=simpleq.dat medeq.dat bigeq.dat
|
||||
PDFS=$(addsuffix .pdf, $(PROJECTNAME))
|
||||
TEXS=$(addsuffix .tikz.tex, $(PROJECTNAME))
|
||||
|
||||
all: $(PDFS)
|
||||
|
||||
$(PDFS): $(DATS)
|
||||
gnuplot $(patsubst %.pdf, %.gnuplot, $@) > $(patsubst %.pdf, %.tikz.tex, $@)
|
||||
pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@)
|
||||
|
||||
simpleq.dat:
|
||||
julia $(SIMPLESOLV)/main.jl -p "eq=simpleq;tolerance=1e-11;order=100;maxiter=100;v_a=1;minlrho=-6;nlrho=100;maxlrho=2" -M easyeq -U exp energy_rho > $@
|
||||
medeq.dat:
|
||||
julia $(SIMPLESOLV)/main.jl -p "eq=medeq;tolerance=1e-11;order=100;maxiter=100;v_a=1;minlrho=-6;nlrho=100;maxlrho=2" -M easyeq -U exp energy_rho > $@
|
||||
bigeq.dat:
|
||||
julia -p 8 $(SIMPLESOLV)/main.jl -p "eq=bigeq;N=12;P=8;J=10;tolerance=1e-11;maxiter=21;v_a=1;minlrho=-6;nlrho=100;maxlrho=2" -M anyeq -U exp energy_rho > $@
|
||||
|
||||
|
||||
install: $(PDFS)
|
||||
cp $^ $(INSTALLDIR)/
|
||||
|
||||
clean-aux:
|
||||
rm -f $(addsuffix .tikz.tex, $(PROJECTNAME))
|
||||
rm -f $(addsuffix .aux, $(PROJECTNAME))
|
||||
rm -f $(addsuffix .log, $(PROJECTNAME))
|
||||
|
||||
clean-dat:
|
||||
rm -f $(DATS)
|
||||
|
||||
clean-tex:
|
||||
rm -f $(PDFS)
|
||||
|
||||
clean: clean-aux clean-tex
|
||||
100
figs/energy.fig/bigeq.dat
Normal file
100
figs/energy.fig/bigeq.dat
Normal file
@ -0,0 +1,100 @@
|
||||
1.000000000000000e-06 7.933345669932108e-06 1.704968357654747e-12
|
||||
1.204503540258781e-06 9.561695772478549e-06 3.479042916950106e-13
|
||||
1.450828778495940e-06 1.152494614052415e-05 1.105615828881523e-13
|
||||
1.747528400007683e-06 1.389218915189634e-05 6.516057629638973e-13
|
||||
2.104904144512022e-06 1.674683575161553e-05 2.538927058524327e-13
|
||||
2.535364493970111e-06 2.018960215367572e-05 1.880964786680250e-14
|
||||
3.053855508833412e-06 2.434212593011697e-05 2.973660811899432e-14
|
||||
3.678379771828634e-06 2.935134616878758e-05 2.601027107910687e-14
|
||||
4.430621457583877e-06 3.539481155461295e-05 2.963343053481389e-13
|
||||
5.336699231206313e-06 4.268711577772934e-05 8.111082866158586e-13
|
||||
6.428073117284319e-06 5.148770312835425e-05 1.258065696556162e-12
|
||||
7.742636826811277e-06 6.211034042585299e-05 1.460046719339352e-12
|
||||
9.326033468832200e-06 7.493461690987080e-05 1.403493327361502e-12
|
||||
1.123324032978027e-05 9.041991424013260e-05 1.190931394710978e-12
|
||||
1.353047774579808e-05 1.091223876997595e-04 9.122943906836504e-13
|
||||
1.629750834620643e-05 1.317156211714737e-04 6.270289167996145e-13
|
||||
1.963040650040272e-05 1.590157675195849e-04 3.932273380946167e-13
|
||||
2.364489412645407e-05 1.920121690316943e-04 2.176631964805619e-13
|
||||
2.848035868435805e-05 2.319046775947738e-04 1.026358506480137e-13
|
||||
3.430469286314919e-05 2.801491713026256e-04 4.446534105626415e-14
|
||||
4.132012400115334e-05 3.385131054920545e-04 4.144974620326791e-14
|
||||
4.977023564332114e-05 4.091433566527190e-04 2.207980896760987e-14
|
||||
5.994842503189409e-05 4.946491352779899e-04 4.572485754229845e-14
|
||||
7.220809018385471e-05 5.982033804561970e-04 6.770202411898077e-14
|
||||
8.697490026177834e-05 7.236668315738020e-04 8.932369095090413e-14
|
||||
1.047615752789665e-04 8.757399333684964e-04 1.182248084569074e-13
|
||||
1.261856883066021e-04 1.060148908761868e-03 1.344231243816312e-13
|
||||
1.519911082952935e-04 1.283873775901215e-03 1.493216888971958e-13
|
||||
1.830738280295370e-04 1.555427846566146e-03 1.699458131695914e-13
|
||||
2.205130739903046e-04 1.885200386765900e-03 2.059019619099669e-13
|
||||
2.656087782946686e-04 2.285876721564974e-03 2.649891700928507e-13
|
||||
3.199267137797384e-04 2.772953210497389e-03 3.620701665273268e-13
|
||||
3.853528593710532e-04 3.365368304619666e-03 4.982472417338292e-13
|
||||
4.641588833612782e-04 4.086275430706575e-03 6.801465168364811e-13
|
||||
5.590810182512228e-04 4.963988854528130e-03 9.137218648090623e-13
|
||||
6.734150657750828e-04 6.033140090007556e-03 1.205112818608528e-12
|
||||
8.111308307896872e-04 7.336089997726976e-03 1.568949512234829e-12
|
||||
9.770099572992256e-04 8.924650630547374e-03 2.015537944839303e-12
|
||||
1.176811952434999e-03 1.086218134368278e-02 2.551669271262342e-12
|
||||
1.417474162926806e-03 1.322613594632949e-02 3.175541504984204e-12
|
||||
1.707352647470692e-03 1.611115205690737e-02 3.882570582394582e-12
|
||||
2.056512308348653e-03 1.963279076107542e-02 4.659084950581694e-12
|
||||
2.477076355991711e-03 2.393205473004278e-02 5.480860359934871e-12
|
||||
2.983647240283340e-03 2.918083689398976e-02 6.316773798635380e-12
|
||||
3.593813663804629e-03 3.558848057549190e-02 7.128689280361588e-12
|
||||
4.328761281083062e-03 4.340966694307487e-02 7.877742721930180e-12
|
||||
5.214008287999690e-03 5.295388832723841e-02 8.538097040660639e-12
|
||||
6.280291441834260e-03 6.459681825795255e-02 9.099882246799092e-12
|
||||
7.564633275546291e-03 7.879395326961169e-02 9.571289375001028e-12
|
||||
9.111627561154896e-03 9.609698014020246e-02 9.973223641678962e-12
|
||||
1.097498765493057e-02 1.171734181893564e-01 5.721422548997492e-15
|
||||
1.321941148466031e-02 1.428302028457424e-01 2.220152020103125e-15
|
||||
1.592282793341094e-02 1.740420176882147e-01 3.826728826701929e-15
|
||||
1.917910261672489e-02 2.119853520055517e-01 2.868300139436348e-15
|
||||
2.310129700083163e-02 2.580794649360160e-01 7.610004429207492e-15
|
||||
2.782559402207126e-02 3.140356819487004e-01 6.059675090044115e-15
|
||||
3.351602650938848e-02 3.819167428256006e-01 3.079883529777644e-15
|
||||
4.037017258596558e-02 4.642082722623484e-01 5.845027410285226e-15
|
||||
4.862601580065354e-02 5.639048668198076e-01 3.816993895235883e-15
|
||||
5.857020818056673e-02 6.846137999573778e-01 3.474232903786021e-15
|
||||
7.054802310718646e-02 8.306799580954581e-01 4.088512836639771e-15
|
||||
8.497534359086456e-02 1.007336356586333e+00 3.416440773537374e-15
|
||||
1.023531021899027e-01 1.220885470968219e+00 3.150210853153027e-15
|
||||
1.232846739442068e-01 1.478917686986172e+00 2.371648956613387e-15
|
||||
1.484968262254467e-01 1.790574459885084e+00 2.131970502004566e-15
|
||||
1.788649529057435e-01 2.166865324247355e+00 1.071205796436568e-15
|
||||
2.154434690031887e-01 2.621049764085537e+00 9.990417291453287e-12
|
||||
2.595024211399737e-01 3.169097203910113e+00 9.249109275328039e-12
|
||||
3.125715849688241e-01 3.830241093220283e+00 8.462348103996382e-12
|
||||
3.764935806792471e-01 4.627646323429371e+00 7.654951972758785e-12
|
||||
4.534878508128591e-01 5.589213151008605e+00 6.847954951876310e-12
|
||||
5.462277217684348e-01 6.748545540181854e+00 6.060205450067071e-12
|
||||
6.579332246575682e-01 8.146117547346687e+00 5.306471340562747e-12
|
||||
7.924828983539185e-01 9.830678245708585e+00 4.598704413056710e-12
|
||||
9.545484566618347e-01 1.186094397111715e+01 3.945605710986110e-12
|
||||
1.149756995397738e+00 1.430763664633719e+01 3.351869307817862e-12
|
||||
1.384886371393875e+00 1.725593895734062e+01 2.820957127030768e-12
|
||||
1.668100537200059e+00 2.080845162887957e+01 2.352147114974057e-12
|
||||
2.009233002565050e+00 2.508875548012610e+01 1.943437328683651e-12
|
||||
2.420128264794383e+00 3.024570193985361e+01 1.592153241178217e-12
|
||||
2.915053062825182e+00 3.645858099358198e+01 1.293588310581549e-12
|
||||
3.511191734215135e+00 4.394334600051280e+01 1.042306124720846e-12
|
||||
4.229242874389508e+00 5.296011151374482e+01 8.333799477286008e-13
|
||||
5.094138014816386e+00 6.382218443728761e+01 6.605722153418092e-13
|
||||
6.135907273413176e+00 7.690694209247896e+01 5.199590335170479e-13
|
||||
7.390722033525790e+00 9.266893489306236e+01 4.063068137082775e-13
|
||||
8.902150854450392e+00 1.116556685689670e+02 3.149814651697356e-13
|
||||
1.072267222010325e+01 1.345266139156320e+02 2.426172104464820e-13
|
||||
1.291549665014885e+01 1.620761041088648e+02 1.855737958789898e-13
|
||||
1.555676143930475e+01 1.952609146057077e+02 1.407488425834523e-13
|
||||
1.873817422860387e+01 2.352334832362353e+02 1.059912258811251e-13
|
||||
2.257019719633922e+01 2.833819239247995e+02 7.975496994680734e-14
|
||||
2.718588242732946e+01 3.413782233614627e+02 5.927022309304956e-14
|
||||
3.274549162877732e+01 4.112362940653811e+02 4.383487153196387e-14
|
||||
3.944206059437664e+01 4.953818995066683e+02 3.264119493319829e-14
|
||||
4.750810162102803e+01 5.967368791641958e+02 2.438476380986774e-14
|
||||
5.722367659350220e+01 7.188205979063790e+02 1.780368664039960e-14
|
||||
6.892612104349709e+01 8.658721421294766e+02 1.399123723605710e-14
|
||||
8.302175681319753e+01 1.042997505438325e+03 1.067384124266308e-14
|
||||
1.000000000000000e+02 1.256346874319010e+03 8.538692087201394e-15
|
||||
41
figs/energy.fig/energy.gnuplot
Normal file
41
figs/energy.fig/energy.gnuplot
Normal file
@ -0,0 +1,41 @@
|
||||
set title ""
|
||||
set ylabel "$\\displaystyle\\frac{e}{\\rho}$" norotate offset -1,0
|
||||
set xlabel "$\\rho$"
|
||||
|
||||
set xtics 1e-6, 100, 100
|
||||
set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100)
|
||||
unset mxtics
|
||||
set xrange [0.000001:100]
|
||||
|
||||
set ytics 8, 1, 13
|
||||
set mytics 2
|
||||
set yrange [7.5:13]
|
||||
|
||||
|
||||
# default output canvas size: 12.5cm x 8.75cm
|
||||
set term lua tikz size 8,6 standalone
|
||||
|
||||
set key bottom right box linetype rgbcolor"#999999" width 0.3 height 0.3 spacing 1.3
|
||||
|
||||
|
||||
# set linestyle
|
||||
set style line 1 linetype rgbcolor "#4169E1" linewidth 2 dashtype "."
|
||||
set style line 2 linetype rgbcolor "#DC143C" linewidth 2
|
||||
set style line 3 linetype rgbcolor "#32CD32" linewidth 2 dashtype "-"
|
||||
set style line 4 linetype rgbcolor "#4B0082" linewidth 2
|
||||
set style line 5 linetype rgbcolor "#DAA520" linewidth 2
|
||||
set style line 6 linetype rgbcolor "#999999" linewidth 1.5 dashtype (1,5)
|
||||
|
||||
set pointsize 1
|
||||
|
||||
set logscale x
|
||||
|
||||
a=1.2543564105910647
|
||||
|
||||
plot \
|
||||
"simpleq.dat" using 1:($3<1e-5 ? ($2/$1) : 1/0) with lines ls 1 title "simple" ,\
|
||||
"medeq.dat" using 1:($3<1e-5 ? ($2/$1) : 1/0) with lines ls 3 title "med",\
|
||||
"bigeq.dat" using 1:($3<1e-5 ? ($2/$1) : 1/0) with lines ls 5 title "big",\
|
||||
"2020-10-15+energy.dat" using 1:($2/$1) with points ls 2 title "QMC" ,\
|
||||
2*pi*a*(1+128./(15*sqrt(pi))*sqrt(x*a**3)) ls 6 title "LHY"
|
||||
|
||||
100
figs/energy.fig/medeq.dat
Normal file
100
figs/energy.fig/medeq.dat
Normal file
@ -0,0 +1,100 @@
|
||||
1.000000000000000e-06 7.934286257047021e-06 3.350843411796514e-14
|
||||
1.204503540258781e-06 9.563044082528665e-06 2.273624432538743e-14
|
||||
1.450828778495940e-06 1.152686262633478e-05 1.298430519766377e-14
|
||||
1.747528400007683e-06 1.389489317614862e-05 1.894777566363843e-14
|
||||
2.104904144512022e-06 1.675062919238505e-05 1.653650872454784e-14
|
||||
2.535364493970111e-06 2.019490280396468e-05 2.336983658291679e-14
|
||||
3.053855508833412e-06 2.434951404943966e-05 2.214775068136617e-14
|
||||
3.678379771828634e-06 2.936162846930739e-05 3.805584891901638e-14
|
||||
4.430621457583877e-06 3.540910828910534e-05 1.427802345533630e-14
|
||||
5.336699231206313e-06 4.270697869633961e-05 2.003273138190368e-14
|
||||
6.428073117284319e-06 5.151527512777095e-05 2.551774430173645e-14
|
||||
7.742636826811277e-06 6.214857192276333e-05 3.705994224138530e-14
|
||||
9.326033468832200e-06 7.498755947811933e-05 7.265095211681475e-14
|
||||
1.123324032978027e-05 9.049311901844221e-05 1.264190454286157e-14
|
||||
1.353047774579808e-05 1.092234447947087e-04 1.053352694614131e-14
|
||||
1.629750834620643e-05 1.318548872942263e-04 2.368465480922291e-14
|
||||
1.963040650040272e-05 1.592073432336066e-04 1.660337987885090e-14
|
||||
2.364489412645407e-05 1.922752053054458e-04 8.646141141307886e-15
|
||||
2.848035868435805e-05 2.322651149462809e-04 2.442896517713713e-14
|
||||
3.430469286314919e-05 2.806420446977329e-04 9.776919033399443e-15
|
||||
4.132012400115334e-05 3.391855851696971e-04 1.271987985520055e-14
|
||||
4.977023564332114e-05 4.100587399374810e-04 2.239769985922260e-14
|
||||
5.994842503189409e-05 4.958920578361200e-04 2.600603141419754e-14
|
||||
7.220809018385471e-05 5.998865777048775e-04 3.305695605996821e-14
|
||||
8.697490026177834e-05 7.259398517100161e-04 1.348707825208008e-14
|
||||
1.047615752789665e-04 8.788002810614415e-04 2.107644168610072e-14
|
||||
1.261856883066021e-04 1.064256179216188e-03 3.010939452255121e-14
|
||||
1.519911082952935e-04 1.289367416181562e-03 4.528098249733624e-14
|
||||
1.830738280295370e-04 1.562749244492149e-03 7.011583917825588e-14
|
||||
2.205130739903046e-04 1.894920022439264e-03 1.127696093174950e-13
|
||||
2.656087782946686e-04 2.298727102221577e-03 1.467479187573012e-13
|
||||
3.199267137797384e-04 2.789868219377111e-03 2.329360329563977e-13
|
||||
3.853528593710532e-04 3.387529396559262e-03 2.906251121896537e-13
|
||||
4.641588833612782e-04 4.115164764506077e-03 3.999178759473060e-13
|
||||
5.590810182512228e-04 5.001448927349123e-03 5.543444903233915e-13
|
||||
6.734150657750828e-04 6.081438699757301e-03 7.247686124008659e-13
|
||||
8.111308307896872e-04 7.397988387264389e-03 9.394231632434480e-13
|
||||
9.770099572992256e-04 9.003471469917696e-03 1.188210506033121e-12
|
||||
1.176811952434999e-03 1.096187182983169e-02 1.453939404386284e-12
|
||||
1.417474162926806e-03 1.335131984243035e-02 1.748927540773990e-12
|
||||
1.707352647470692e-03 1.626716311543043e-02 2.048075825913765e-12
|
||||
2.056512308348653e-03 1.982567889735244e-02 2.340515412122970e-12
|
||||
2.477076355991711e-03 2.416855580506204e-02 2.605854351607331e-12
|
||||
2.983647240283340e-03 2.946829731035233e-02 2.824445163694187e-12
|
||||
3.593813663804629e-03 3.593472933729397e-02 2.981866401807997e-12
|
||||
4.328761281083062e-03 4.382283052883180e-02 3.067362472205469e-12
|
||||
5.214008287999690e-03 5.344214766200744e-02 3.073513956716823e-12
|
||||
6.280291441834260e-03 6.516811202317233e-02 3.006095534695811e-12
|
||||
7.564633275546291e-03 7.945563730982247e-02 2.868424849163193e-12
|
||||
9.111627561154896e-03 9.685545817966755e-02 2.674678867537749e-12
|
||||
1.097498765493057e-02 1.180337637230369e-01 2.440734483972164e-12
|
||||
1.321941148466031e-02 1.437957952077961e-01 2.184363028675561e-12
|
||||
1.592282793341094e-02 1.751142163796972e-01 1.917824774341397e-12
|
||||
1.917910261672489e-02 2.131632321105708e-01 1.656059900213277e-12
|
||||
2.310129700083163e-02 2.593596329389756e-01 1.410306668963206e-12
|
||||
2.782559402207126e-02 3.154121858791141e-01 1.195131021990613e-12
|
||||
3.351602650938848e-02 3.833810840481612e-01 9.871852649538251e-13
|
||||
4.037017258596558e-02 4.657495191763944e-01 8.136332883253271e-13
|
||||
4.862601580065354e-02 5.655098640080871e-01 6.823741984126656e-13
|
||||
5.857020818056673e-02 6.862674605812320e-01 5.705185315457055e-13
|
||||
7.054802310718646e-02 8.323656230237174e-01 4.590853816780889e-13
|
||||
8.497534359086456e-02 1.009036201088274e+00 3.723504950962481e-13
|
||||
1.023531021899027e-01 1.222580938798058e+00 3.740344313966540e-13
|
||||
1.232846739442068e-01 1.480589932164776e+00 2.590030624091089e-13
|
||||
1.484968262254467e-01 1.792204778156467e+00 4.308044222824868e-13
|
||||
1.788649529057435e-01 2.168435558712142e+00 1.711857922602610e-13
|
||||
2.154434690031887e-01 2.622542672548128e+00 2.630630812010949e-13
|
||||
2.595024211399737e-01 3.170496778713019e+00 4.862348792954930e-13
|
||||
3.125715849688241e-01 3.831532827526695e+00 3.222631437243052e-13
|
||||
3.764935806792471e-01 4.628817420866958e+00 9.063217628519465e-14
|
||||
4.534878508128591e-01 5.590252678180098e+00 3.126299632971088e-13
|
||||
5.462277217684348e-01 6.749444523712865e+00 5.271767714437587e-13
|
||||
6.579332246575682e-01 8.146869018854765e+00 7.067258691723872e-13
|
||||
7.924828983539185e-01 9.831277239349690e+00 1.976481716430481e-13
|
||||
9.545484566618347e-01 1.186138747922958e+01 1.213984608946686e-13
|
||||
1.149756995397738e+00 1.430792353920593e+01 1.001843165310050e-13
|
||||
1.384886371393875e+00 1.725606987330165e+01 7.356460075303617e-14
|
||||
1.668100537200059e+00 2.080842884092954e+01 1.207511033175393e-13
|
||||
2.009233002565050e+00 2.508858274495347e+01 1.420167716375784e-13
|
||||
2.420128264794383e+00 3.024538433481086e+01 2.404214126545545e-13
|
||||
2.915053062825182e+00 3.645812474662149e+01 8.020433476813964e-14
|
||||
3.511191734215135e+00 4.394275831754763e+01 7.725490959360697e-14
|
||||
4.229242874389508e+00 5.295940040730246e+01 9.193832425125519e-14
|
||||
5.094138014816386e+00 6.382135855972534e+01 5.965887874370161e-14
|
||||
6.135907273413176e+00 7.690601057644308e+01 7.369357116862908e-14
|
||||
7.390722033525790e+00 9.266790720131583e+01 6.733622484011242e-14
|
||||
8.902150854450392e+00 1.116545543551900e+02 7.236758339264480e-14
|
||||
1.072267222010325e+01 1.345254228973254e+02 7.214733858698264e-14
|
||||
1.291549665014885e+01 1.620748459530638e+02 4.566762659089573e-14
|
||||
1.555676143930475e+01 1.952595988278435e+02 4.016462557967500e-14
|
||||
1.873817422860387e+01 2.352321191121707e+02 4.222275907971552e-14
|
||||
2.257019719633922e+01 2.833805204158014e+02 4.452644207417061e-14
|
||||
2.718588242732946e+01 3.413767890516622e+02 9.381962021977345e-14
|
||||
3.274549162877732e+01 4.112348371110992e+02 2.985855401371043e-14
|
||||
3.944206059437664e+01 4.953804275968574e+02 4.510651797992799e-14
|
||||
4.750810162102803e+01 5.967353994911545e+02 2.755681866935816e-14
|
||||
5.722367659350220e+01 7.188191171458401e+02 2.159989114361577e-14
|
||||
6.892612104349709e+01 8.658706664291410e+02 2.997352502706469e-14
|
||||
8.302175681319753e+01 1.042996040413900e+03 4.590753851046225e-14
|
||||
1.000000000000000e+02 1.256345425056825e+03 2.310603796838004e-14
|
||||
100
figs/energy.fig/simpleq.dat
Normal file
100
figs/energy.fig/simpleq.dat
Normal file
@ -0,0 +1,100 @@
|
||||
1.000000000000000e-06 7.934458317554770e-06 1.253408725811047e-14
|
||||
1.204503540258781e-06 9.563293402409969e-06 1.640998151881320e-14
|
||||
1.450828778495940e-06 1.152722385213290e-05 3.251262837839683e-14
|
||||
1.747528400007683e-06 1.389541646472593e-05 3.019030546809478e-14
|
||||
2.104904144512022e-06 1.675138713852244e-05 2.275714260526642e-14
|
||||
2.535364493970111e-06 2.019600045252957e-05 3.271639597766372e-14
|
||||
3.053855508833412e-06 2.435110335988150e-05 2.142094245826877e-14
|
||||
3.678379771828634e-06 2.936392920320935e-05 1.339250507659264e-14
|
||||
4.430621457583877e-06 3.541243815820425e-05 3.893851454934391e-14
|
||||
5.336699231206313e-06 4.271179685321251e-05 3.095940660023124e-14
|
||||
6.428073117284319e-06 5.152224486652221e-05 5.125396859042871e-14
|
||||
7.742636826811277e-06 6.215865101443218e-05 2.890206750836624e-14
|
||||
9.326033468832200e-06 7.500213022394945e-05 2.241466297924041e-14
|
||||
1.123324032978027e-05 9.051417532865902e-05 2.370776274109386e-14
|
||||
1.353047774579808e-05 1.092538610497785e-04 4.796262972662893e-14
|
||||
1.629750834620643e-05 1.318988043420983e-04 4.229814231373338e-14
|
||||
1.963040650040272e-05 1.592707219208866e-04 3.808954617986591e-14
|
||||
2.364489412645407e-05 1.923666192393963e-04 2.141860559824167e-14
|
||||
2.848035868435805e-05 2.323968842530530e-04 4.584119591708702e-14
|
||||
3.430469286314919e-05 2.808318548521666e-04 2.138418227061501e-14
|
||||
4.132012400115334e-05 3.394587942820992e-04 1.918556578598127e-14
|
||||
4.977023564332114e-05 4.104516606676139e-04 1.694104962972332e-14
|
||||
5.994842503189409e-05 4.964566151029166e-04 3.002291274309623e-14
|
||||
7.220809018385471e-05 6.006969022092982e-04 4.294873137027481e-14
|
||||
8.697490026177834e-05 7.271015873319120e-04 2.062540444418305e-14
|
||||
1.047615752789665e-04 8.804636812878449e-04 3.334031557301778e-14
|
||||
1.261856883066021e-04 1.066634469195621e-03 7.194072311053829e-14
|
||||
1.519911082952935e-04 1.292762434131901e-03 8.278169514315650e-14
|
||||
1.830738280295370e-04 1.567587086789660e-03 1.161190654702787e-13
|
||||
2.205130739903046e-04 1.901800344392313e-03 1.797096379984733e-13
|
||||
2.656087782946686e-04 2.308490918746631e-03 2.637598652434219e-13
|
||||
3.199267137797384e-04 2.803690553578959e-03 3.722231676096834e-13
|
||||
3.853528593710532e-04 3.407044978502708e-03 5.427762733833543e-13
|
||||
4.641588833612782e-04 4.142637205871173e-03 7.734027562664818e-13
|
||||
5.590810182512228e-04 5.039996370506877e-03 1.084741759773931e-12
|
||||
6.734150657750828e-04 6.135331779936552e-03 1.475538242058165e-12
|
||||
8.111308307896872e-04 7.473039279209971e-03 1.968813103343645e-12
|
||||
9.770099572992256e-04 9.107535515599206e-03 2.559305054777023e-12
|
||||
1.176811952434999e-03 1.110548530561432e-02 3.246800230285997e-12
|
||||
1.417474162926806e-03 1.354849819420097e-02 3.999740063734383e-12
|
||||
1.707352647470692e-03 1.653638267729146e-02 4.785597934980074e-12
|
||||
2.056512308348653e-03 2.019106081393928e-02 5.541961698394948e-12
|
||||
2.477076355991711e-03 2.466126270506543e-02 6.209989300668736e-12
|
||||
2.983647240283340e-03 3.012814052292188e-02 6.719913925774575e-12
|
||||
3.593813663804629e-03 3.681196682685592e-02 7.010516326080206e-12
|
||||
4.328761281083062e-03 4.498011366911493e-02 7.042737419751455e-12
|
||||
5.214008287999690e-03 5.495654983134250e-02 6.803473563255481e-12
|
||||
6.280291441834260e-03 6.713314618359296e-02 6.316173694015080e-12
|
||||
7.564633275546291e-03 8.198314659254460e-02 5.630438859203436e-12
|
||||
9.111627561154896e-03 1.000772469953260e-01 4.814460500479356e-12
|
||||
1.097498765493057e-02 1.221028309649795e-01 3.948371699573414e-12
|
||||
1.321941148466031e-02 1.488870387812890e-01 3.104931054226393e-12
|
||||
1.592282793341094e-02 1.814245009403908e-01 2.339516913805968e-12
|
||||
1.917910261672489e-02 2.209107486051246e-01 1.688210571908239e-12
|
||||
2.310129700083163e-02 2.687825259198435e-01 1.167659413279469e-12
|
||||
2.782559402207126e-02 3.267664771683836e-01 7.775556337126751e-13
|
||||
3.351602650938848e-02 3.969379725867567e-01 4.949300609691499e-13
|
||||
4.037017258596558e-02 4.817921803787671e-01 3.047835972157860e-13
|
||||
4.862601580065354e-02 5.843299025667947e-01 1.744034034347572e-13
|
||||
5.857020818056673e-02 7.081611855740870e-01 2.145108372619088e-13
|
||||
7.054802310718646e-02 8.576303130499369e-01 1.004811457230378e-13
|
||||
8.497534359086456e-02 1.037966511958588e+00 4.718419633908083e-14
|
||||
1.023531021899027e-01 1.255465580586508e+00 2.639823583877913e-14
|
||||
1.232846739442068e-01 1.517708710502109e+00 1.889177952517916e-13
|
||||
1.484968262254467e-01 1.833826060755470e+00 1.262402568827356e-13
|
||||
1.788649529057435e-01 2.214814195859386e+00 2.307786324072868e-13
|
||||
2.154434690031887e-01 2.673918372281924e+00 3.831494558709393e-14
|
||||
2.595024211399737e-01 3.227092915163674e+00 6.546666422710970e-14
|
||||
3.125715849688241e-01 3.893555644968086e+00 8.786410093299553e-14
|
||||
3.764935806792471e-01 4.696455586182800e+00 3.094041097523017e-14
|
||||
4.534878508128591e-01 5.663677129915349e+00 1.346721396138190e-14
|
||||
5.462277217684348e-01 6.828808565598630e+00 2.348290345391161e-14
|
||||
6.579332246575682e-01 8.232308608511897e+00 6.075413859670748e-14
|
||||
7.924828983539185e-01 9.922911427699711e+00 3.551771518542288e-14
|
||||
9.545484566618347e-01 1.195931896203401e+01 8.585404990085891e-14
|
||||
1.149756995397738e+00 1.441223928837902e+01 4.176255867225544e-14
|
||||
1.384886371393875e+00 1.736684182166722e+01 1.114486677072019e-13
|
||||
1.668100537200059e+00 2.092571459958015e+01 5.653897977104765e-14
|
||||
2.009233002565050e+00 2.521242633713612e+01 1.048273767790111e-14
|
||||
2.420128264794383e+00 3.037581693424489e+01 8.488597666410238e-15
|
||||
2.915053062825182e+00 3.659516541136894e+01 5.400259352206385e-14
|
||||
3.511191734215135e+00 4.408641471307532e+01 5.485916680303097e-14
|
||||
4.229242874389508e+00 5.310966951429405e+01 5.278885434248808e-14
|
||||
5.094138014816386e+00 6.397822736362556e+01 2.945680129079298e-15
|
||||
6.135907273413176e+00 7.706945673674652e+01 1.960764876087084e-15
|
||||
7.390722033525790e+00 9.283789969933954e+01 3.647567907334253e-15
|
||||
8.902150854450392e+00 1.118310541195708e+02 1.199399938192319e-15
|
||||
1.072267222010325e+01 1.347083834068206e+02 5.355510579254647e-14
|
||||
1.291549665014885e+01 1.622642138164582e+02 9.997141006638315e-15
|
||||
1.555676143930475e+01 1.954553143409147e+02 1.109395412861689e-14
|
||||
1.873817422860387e+01 2.354341167917606e+02 1.106759345282809e-15
|
||||
2.257019719633922e+01 2.835887295111127e+02 2.010906753044690e-14
|
||||
2.718588242732946e+01 3.415911340329474e+02 1.043218765631230e-14
|
||||
3.274549162877732e+01 4.114552381359539e+02 1.315017988355486e-14
|
||||
3.944206059437664e+01 4.956068009543682e+02 1.004394652722235e-14
|
||||
4.750810162102803e+01 5.969676580241880e+02 5.364915392605858e-14
|
||||
5.722367659350220e+01 7.190571706518009e+02 5.378285825138610e-14
|
||||
6.892612104349709e+01 8.661144220395618e+02 5.426311368936924e-14
|
||||
8.302175681319753e+01 1.043245402953268e+03 9.067219514460403e-12
|
||||
1.000000000000000e+02 1.256600297381089e+03 6.252162647544124e-12
|
||||
715
libs/ian.cls
Normal file
715
libs/ian.cls
Normal file
@ -0,0 +1,715 @@
|
||||
%%
|
||||
%% Ian's class file
|
||||
%%
|
||||
|
||||
%% TeX format
|
||||
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
|
||||
|
||||
%% class name
|
||||
\ProvidesClass{ian}[2017/09/29]
|
||||
|
||||
%% boolean to signal that this class is being used
|
||||
\newif\ifianclass
|
||||
\ianclasstrue
|
||||
|
||||
%% options
|
||||
% no section numbering in equations
|
||||
\DeclareOption{section_in_eq}{\sectionsineqtrue}
|
||||
\DeclareOption{section_in_fig}{\sectionsinfigtrue}
|
||||
\DeclareOption{section_in_all}{\sectionsineqtrue\sectionsinfigtrue}
|
||||
\DeclareOption{subsection_in_eq}{\subsectionsineqtrue}
|
||||
\DeclareOption{subsection_in_fig}{\subsectionsinfigtrue}
|
||||
\DeclareOption{subsection_in_all}{\subsectionsineqtrue\subsectionsinfigtrue}
|
||||
\DeclareOption{no_section_in_eq}{\sectionsineqfalse}
|
||||
\DeclareOption{no_section_in_fig}{\sectionsinfigfalse}
|
||||
\DeclareOption{no_section_in_all}{\sectionsineqfalse\sectionsinfigfalse}
|
||||
\DeclareOption{no_subsection_in_eq}{\subsectionsineqfalse}
|
||||
\DeclareOption{no_subsection_in_fig}{\subsectionsinfigfalse}
|
||||
\DeclareOption{no_subsection_in_all}{\subsectionsineqfalse\subsectionsinfigfalse}
|
||||
|
||||
\def\ian@defaultoptions{
|
||||
\ExecuteOptions{section_in_all, no_subsection_in_all}
|
||||
\ProcessOptions
|
||||
|
||||
%% required packages
|
||||
\RequirePackage{color}
|
||||
\RequirePackage{marginnote}
|
||||
\RequirePackage{amssymb}
|
||||
\PassOptionsToPackage{hidelinks}{hyperref}
|
||||
\RequirePackage{hyperref}
|
||||
|
||||
\pagestyle{plain}
|
||||
}
|
||||
|
||||
%% paper dimensions
|
||||
\setlength\paperheight{297mm}
|
||||
\setlength\paperwidth{210mm}
|
||||
|
||||
%% fonts
|
||||
\input{size11.clo}
|
||||
\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
|
||||
\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
|
||||
\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
|
||||
\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
|
||||
\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
|
||||
|
||||
%% text dimensions
|
||||
\hoffset=-50pt
|
||||
\voffset=-72pt
|
||||
\textwidth=460pt
|
||||
\textheight=704pt
|
||||
|
||||
|
||||
%% remove default indentation
|
||||
\parindent=0pt
|
||||
%% indent command
|
||||
\def\indent{\hskip20pt}
|
||||
|
||||
%% something is wrong with \thepage, redefine it
|
||||
\gdef\thepage{\the\c@page}
|
||||
|
||||
%% array lines (to use the array environment)
|
||||
\setlength\arraycolsep{5\p@}
|
||||
\setlength\arrayrulewidth{.4\p@}
|
||||
|
||||
|
||||
%% correct vertical alignment at the end of a document
|
||||
\AtEndDocument{
|
||||
\vfill
|
||||
\eject
|
||||
}
|
||||
|
||||
|
||||
%% hyperlinks
|
||||
% hyperlinkcounter
|
||||
\newcounter{lncount}
|
||||
% hyperref anchor
|
||||
\def\hrefanchor{%
|
||||
\stepcounter{lncount}%
|
||||
\hypertarget{ln.\thelncount}{}%
|
||||
}
|
||||
|
||||
%% define a command and write it to aux file
|
||||
\def\outdef#1#2{%
|
||||
% define command%
|
||||
\expandafter\xdef\csname #1\endcsname{#2}%
|
||||
% hyperlink number%
|
||||
\expandafter\xdef\csname #1@hl\endcsname{\thelncount}%
|
||||
% write command to aux%
|
||||
\immediate\write\@auxout{\noexpand\expandafter\noexpand\gdef\noexpand\csname #1\endcsname{\csname #1\endcsname}}%
|
||||
\immediate\write\@auxout{\noexpand\expandafter\noexpand\gdef\noexpand\csname #1@hl\endcsname{\thelncount}}%
|
||||
}
|
||||
|
||||
%% can call commands even when they are not defined
|
||||
\def\safe#1{%
|
||||
\ifdefined#1%
|
||||
#1%
|
||||
\else%
|
||||
{\color{red}\bf?}%
|
||||
\fi%
|
||||
}
|
||||
|
||||
%% define a label for the latest tag
|
||||
%% label defines a command containing the string stored in \tag
|
||||
\def\deflabel{
|
||||
\def\label##1{\expandafter\outdef{label@##1}{\safe\tag}}
|
||||
|
||||
\def\ref##1{%
|
||||
% check whether the label is defined (hyperlink runs into errors if this check is omitted)
|
||||
\ifcsname label@##1@hl\endcsname%
|
||||
\hyperlink{ln.\csname label@##1@hl\endcsname}{{\color{blue}\safe\csname label@##1\endcsname}}%
|
||||
\else%
|
||||
\ifcsname label@##1\endcsname%
|
||||
{\color{blue}\csname ##1\endcsname}%
|
||||
\else%
|
||||
{\bf ??}%
|
||||
\fi%
|
||||
\fi%
|
||||
}
|
||||
|
||||
% omit link
|
||||
\def\textref##1{%
|
||||
\ifcsname label@##1@hl\endcsname%
|
||||
\safe\csname label@##1\endcsname%
|
||||
\else%
|
||||
\ifcsname label@##1\endcsname%
|
||||
\csname ##1\endcsname%
|
||||
\else%
|
||||
{\bf ??}%
|
||||
\fi%
|
||||
\fi%
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
%% make a custom link at any given location in the document
|
||||
\def\makelink#1#2{%
|
||||
\hrefanchor%
|
||||
\outdef{label@#1}{#2}%
|
||||
}
|
||||
|
||||
|
||||
%% section command
|
||||
% counter
|
||||
\newcounter{sectioncount}
|
||||
% space before section
|
||||
\newlength\secskip
|
||||
\setlength\secskip{40pt}
|
||||
% a prefix to put before the section number, e.g. A for appendices
|
||||
\def\sectionprefix{}
|
||||
% define some lengths
|
||||
\newlength\secnumwidth
|
||||
\newlength\sectitlewidth
|
||||
\def\section#1{
|
||||
% reset counters
|
||||
\stepcounter{sectioncount}
|
||||
\setcounter{subsectioncount}{0}
|
||||
\ifsectionsineq
|
||||
\setcounter{seqcount}0
|
||||
\fi
|
||||
\ifsectionsinfig
|
||||
\setcounter{figcount}0
|
||||
\fi
|
||||
|
||||
% space before section (if not first)
|
||||
\ifnum\thesectioncount>1
|
||||
\vskip\secskip
|
||||
\penalty-1000
|
||||
\fi
|
||||
|
||||
% hyperref anchor
|
||||
\hrefanchor
|
||||
% define tag (for \label)
|
||||
\xdef\tag{\sectionprefix\thesectioncount}
|
||||
|
||||
% get widths
|
||||
\def\@secnum{{\bf\Large\sectionprefix\thesectioncount.\hskip10pt}}
|
||||
\settowidth\secnumwidth{\@secnum}
|
||||
\setlength\sectitlewidth\textwidth
|
||||
\addtolength\sectitlewidth{-\secnumwidth}
|
||||
|
||||
% print name
|
||||
\parbox{\textwidth}{
|
||||
\@secnum
|
||||
\parbox[t]{\sectitlewidth}{\Large\bf #1}}
|
||||
|
||||
% write to table of contents
|
||||
\iftoc
|
||||
% save lncount in aux variable which is written to toc
|
||||
\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@sec.\thesectioncount\endcsname{\thelncount}}
|
||||
\write\tocoutput{\noexpand\tocsection{#1}{\thepage}}
|
||||
\fi
|
||||
|
||||
%space
|
||||
\par\penalty10000
|
||||
\bigskip\penalty10000
|
||||
}
|
||||
|
||||
%% subsection
|
||||
% counter
|
||||
\newcounter{subsectioncount}
|
||||
% space before subsection
|
||||
\newlength\subsecskip
|
||||
\setlength\subsecskip{30pt}
|
||||
\def\subsection#1{
|
||||
% counters
|
||||
\stepcounter{subsectioncount}
|
||||
\setcounter{subsubsectioncount}{0}
|
||||
\ifsubsectionsineq
|
||||
\setcounter{seqcount}0
|
||||
\fi
|
||||
\ifsubsectionsinfig
|
||||
\setcounter{figcount}0
|
||||
\fi
|
||||
|
||||
% space before subsection (if not first)
|
||||
\ifnum\thesubsectioncount>1
|
||||
\vskip\subsecskip
|
||||
\penalty-500
|
||||
\fi
|
||||
|
||||
% hyperref anchor
|
||||
\hrefanchor
|
||||
% define tag (for \label)
|
||||
\xdef\tag{\sectionprefix\thesectioncount.\thesubsectioncount}
|
||||
|
||||
% get widths
|
||||
\def\@secnum{{\bf\large\hskip.5cm\sectionprefix\thesectioncount.\thesubsectioncount.\hskip5pt}}
|
||||
\settowidth\secnumwidth{\@secnum}
|
||||
\setlength\sectitlewidth\textwidth
|
||||
\addtolength\sectitlewidth{-\secnumwidth}
|
||||
% print name
|
||||
\parbox{\textwidth}{
|
||||
\@secnum
|
||||
\parbox[t]{\sectitlewidth}{\large\bf #1}}
|
||||
|
||||
% write to table of contents
|
||||
\iftoc
|
||||
% save lncount in aux variable which is written to toc
|
||||
\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@subsec.\thesectioncount.\thesubsectioncount\endcsname{\thelncount}}
|
||||
\write\tocoutput{\noexpand\tocsubsection{#1}{\thepage}}
|
||||
\fi
|
||||
|
||||
% space
|
||||
\par\penalty10000
|
||||
\medskip\penalty10000
|
||||
}
|
||||
|
||||
%% subsubsection
|
||||
% counter
|
||||
\newcounter{subsubsectioncount}
|
||||
% space before subsubsection
|
||||
\newlength\subsubsecskip
|
||||
\setlength\subsubsecskip{20pt}
|
||||
\def\subsubsection#1{
|
||||
% counters
|
||||
\stepcounter{subsubsectioncount}
|
||||
|
||||
% space before subsubsection (if not first)
|
||||
\ifnum\thesubsubsectioncount>1
|
||||
\vskip\subsubsecskip
|
||||
\penalty-500
|
||||
\fi
|
||||
|
||||
% hyperref anchor
|
||||
\hrefanchor
|
||||
% define tag (for \label)
|
||||
\xdef\tag{\sectionprefix\thesectioncount.\thesubsectioncount.\thesubsubsectioncount}
|
||||
|
||||
% get widths
|
||||
\def\@secnum{{\bf\hskip1.cm\sectionprefix\thesectioncount.\thesubsectioncount.\thesubsubsectioncount.\hskip5pt}}
|
||||
\settowidth\secnumwidth{\@secnum}
|
||||
\setlength\sectitlewidth\textwidth
|
||||
\addtolength\sectitlewidth{-\secnumwidth}
|
||||
% print name
|
||||
\parbox{\textwidth}{
|
||||
\@secnum
|
||||
\parbox[t]{\sectitlewidth}{\large\bf #1}}
|
||||
|
||||
% write to table of contents
|
||||
\iftoc
|
||||
% save lncount in aux variable which is written to toc
|
||||
\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@subsubsec.\thesectioncount.\thesubsectioncount.\thesubsubsectioncount\endcsname{\thelncount}}
|
||||
\write\tocoutput{\noexpand\tocsubsubsection{#1}{\thepage}}
|
||||
\fi
|
||||
|
||||
% space
|
||||
\par\penalty10000
|
||||
\medskip\penalty10000
|
||||
}
|
||||
|
||||
%% itemize
|
||||
\newlength\itemizeskip
|
||||
% left margin for items
|
||||
\setlength\itemizeskip{20pt}
|
||||
\newlength\itemizeseparator
|
||||
% space between the item symbol and the text
|
||||
\setlength\itemizeseparator{5pt}
|
||||
% penalty preceding an itemize
|
||||
\newcount\itemizepenalty
|
||||
\itemizepenalty=0
|
||||
% counter counting the itemize level
|
||||
\newcounter{itemizecount}
|
||||
|
||||
% item symbol
|
||||
\def\itemizept#1{
|
||||
\ifnum#1=1
|
||||
\textbullet
|
||||
\else
|
||||
$\scriptstyle\blacktriangleright$
|
||||
\fi
|
||||
}
|
||||
|
||||
|
||||
\newlength\current@itemizeskip
|
||||
\setlength\current@itemizeskip{0pt}
|
||||
\def\itemize{%
|
||||
\par\expandafter\penalty\the\itemizepenalty\medskip\expandafter\penalty\the\itemizepenalty%
|
||||
\addtocounter{itemizecount}{1}%
|
||||
\addtolength\current@itemizeskip{\itemizeskip}%
|
||||
\leftskip\current@itemizeskip%
|
||||
}
|
||||
\def\enditemize{%
|
||||
\addtocounter{itemizecount}{-1}%
|
||||
\addtolength\current@itemizeskip{-\itemizeskip}%
|
||||
\par\expandafter\penalty\the\itemizepenalty\leftskip\current@itemizeskip%
|
||||
\medskip\expandafter\penalty\the\itemizepenalty%
|
||||
}
|
||||
|
||||
% item, with optional argument to specify the item point
|
||||
% @itemarg is set to true when there is an optional argument
|
||||
\newif\if@itemarg
|
||||
\def\item{%
|
||||
% check whether there is an optional argument (if there is none, add on empty '[]')
|
||||
\@ifnextchar [{\@itemargtrue\@itemx}{\@itemargfalse\@itemx[]}%
|
||||
}
|
||||
\newlength\itempt@total
|
||||
\def\@itemx[#1]{
|
||||
\if@itemarg
|
||||
\settowidth\itempt@total{#1}
|
||||
\else
|
||||
\settowidth\itempt@total{\itemizept\theitemizecount}
|
||||
\fi
|
||||
\addtolength\itempt@total{\itemizeseparator}
|
||||
\par
|
||||
\medskip
|
||||
\if@itemarg
|
||||
\hskip-\itempt@total#1\hskip\itemizeseparator
|
||||
\else
|
||||
\hskip-\itempt@total\itemizept\theitemizecount\hskip\itemizeseparator
|
||||
\fi
|
||||
}
|
||||
|
||||
%% prevent page breaks after itemize
|
||||
\newcount\previtemizepenalty
|
||||
\def\nopagebreakafteritemize{
|
||||
\previtemizepenalty=\itemizepenalty
|
||||
\itemizepenalty=10000
|
||||
}
|
||||
%% back to previous value
|
||||
\def\restorepagebreakafteritemize{
|
||||
\itemizepenalty=\previtemizepenalty
|
||||
}
|
||||
|
||||
%% enumerate
|
||||
\newcounter{enumerate@count}
|
||||
\def\enumerate{
|
||||
\setcounter{enumerate@count}0
|
||||
\let\olditem\item
|
||||
\let\olditemizept\itemizept
|
||||
\def\item{
|
||||
% counter
|
||||
\stepcounter{enumerate@count}
|
||||
% set header
|
||||
\def\itemizept{\theenumerate@count.}
|
||||
% hyperref anchor
|
||||
\hrefanchor
|
||||
% define tag (for \label)
|
||||
\xdef\tag{\theenumerate@count}
|
||||
\olditem
|
||||
}
|
||||
\itemize
|
||||
}
|
||||
\def\endenumerate{
|
||||
\enditemize
|
||||
\let\item\olditem
|
||||
\let\itemizept\olditemizept
|
||||
}
|
||||
|
||||
|
||||
%% equation numbering
|
||||
% counter
|
||||
\newcounter{seqcount}
|
||||
% define possible prefix to equation
|
||||
\def\eqprefix{}
|
||||
% booleans (write section or subsection in equation number)
|
||||
\newif\ifsectionsineq
|
||||
\newif\ifsubsectionsineq
|
||||
\def\seqcount{
|
||||
\stepcounter{seqcount}
|
||||
% the output
|
||||
\edef\seqformat{\eqprefix\theseqcount}
|
||||
% add subsection number
|
||||
\ifsubsectionsineq
|
||||
\let\tmp\seqformat
|
||||
\edef\seqformat{\thesubsectioncount.\tmp}
|
||||
\fi
|
||||
% add section number
|
||||
\ifsectionsineq
|
||||
\let\tmp\seqformat
|
||||
\edef\seqformat{\sectionprefix\thesectioncount.\tmp}
|
||||
\fi
|
||||
% define tag (for \label)
|
||||
\xdef\tag{\seqformat}
|
||||
% write number
|
||||
\marginnote{\hfill(\seqformat)}
|
||||
}
|
||||
%% equation environment compatibility
|
||||
\def\equation{\hrefanchor$$\seqcount}
|
||||
\def\endequation{$$\@ignoretrue}
|
||||
|
||||
|
||||
%% figures
|
||||
% counter
|
||||
\newcounter{figcount}
|
||||
% booleans (write section or subsection in equation number)
|
||||
\newif\ifsectionsinfig
|
||||
\newif\ifsubsectionsinfig
|
||||
% width of figures
|
||||
\newlength\figwidth
|
||||
\setlength\figwidth\textwidth
|
||||
\addtolength\figwidth{-2.5cm}
|
||||
% caption
|
||||
\def\defcaption{
|
||||
\long\def\caption##1{%
|
||||
\stepcounter{figcount}%
|
||||
%
|
||||
% hyperref anchor%
|
||||
\hrefanchor%
|
||||
%
|
||||
% the number of the figure%
|
||||
\edef\figformat{\thefigcount}%
|
||||
% add subsection number%
|
||||
\ifsubsectionsinfig%
|
||||
\let\tmp\figformat%
|
||||
\edef\figformat{\thesubsectioncount.\tmp}%
|
||||
\fi%
|
||||
% add section number%
|
||||
\ifsectionsinfig%
|
||||
\let\tmp\figformat%
|
||||
\edef\figformat{\sectionprefix\thesectioncount.\tmp}%
|
||||
\fi%
|
||||
%
|
||||
% define tag (for \label)%
|
||||
\xdef\tag{\figformat}%
|
||||
%
|
||||
% write%
|
||||
\par\penalty10000\hfil fig \figformat: \parbox[t]{\figwidth}{\small##1}%%
|
||||
%
|
||||
% space%
|
||||
\par\bigskip%
|
||||
}
|
||||
}
|
||||
%% short caption: centered
|
||||
\def\captionshort#1{
|
||||
\stepcounter{figcount}%
|
||||
%
|
||||
% hyperref anchor%
|
||||
\hrefanchor%
|
||||
%
|
||||
% the number of the figure%
|
||||
\edef\figformat{\thefigcount}%
|
||||
% add section number%
|
||||
\ifsectionsinfig%
|
||||
\let\tmp\figformat%
|
||||
\edef\figformat{\sectionprefix\thesectioncount.\tmp}%
|
||||
\fi%
|
||||
%
|
||||
% define tag (for \label)%
|
||||
\xdef\tag{\figformat}%
|
||||
%
|
||||
% write%
|
||||
\par\penalty10000\hfil fig \figformat: {\small#1}%
|
||||
%
|
||||
%space%
|
||||
\par\bigskip%
|
||||
}
|
||||
|
||||
%% environment
|
||||
\def\figure{
|
||||
\par
|
||||
\vfil\penalty100\vfilneg
|
||||
\bigskip
|
||||
}
|
||||
\def\endfigure{
|
||||
\par
|
||||
\bigskip
|
||||
}
|
||||
|
||||
|
||||
%% start appendices
|
||||
\def\appendix{
|
||||
\vfill
|
||||
\pagebreak
|
||||
|
||||
% counter
|
||||
\setcounter{sectioncount}0
|
||||
|
||||
% prefix
|
||||
\def\sectionprefix{A}
|
||||
|
||||
% write
|
||||
{\bf \LARGE Appendices}\par\penalty10000\bigskip\penalty10000
|
||||
|
||||
% add a mention in the table of contents
|
||||
\iftoc
|
||||
\immediate\write\tocoutput{\noexpand\tocappendices}\penalty10000
|
||||
\fi
|
||||
|
||||
%% uncomment for new page for each appendix
|
||||
%\def\seqskip{\vfill\pagebreak}
|
||||
}
|
||||
|
||||
%% start exercises
|
||||
\def\exercises{
|
||||
\vfill
|
||||
\pagebreak
|
||||
|
||||
% counter
|
||||
\setcounter{sectioncount}0
|
||||
\setcounter{seqcount}0
|
||||
|
||||
% prefix
|
||||
\def\sectionprefix{E}
|
||||
|
||||
\hrefanchor
|
||||
|
||||
% write
|
||||
{\bf \LARGE Exercises}\par\penalty10000\bigskip\penalty10000
|
||||
|
||||
% add a mention in the table of contents
|
||||
\iftoc
|
||||
% save lncount in aux variable which is written to toc
|
||||
\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@exercises\endcsname{\thelncount}}
|
||||
\write\tocoutput{\noexpand\tocexercises{\thepage}}\penalty10000
|
||||
\fi
|
||||
|
||||
\def\eqprefix{E}
|
||||
\sectionsineqfalse
|
||||
}
|
||||
|
||||
|
||||
%% bibliography
|
||||
% size of header
|
||||
\newlength\bibheader
|
||||
\def\thebibliography#1{
|
||||
\hrefanchor
|
||||
|
||||
% add a mention in the table of contents
|
||||
\iftoc
|
||||
% save lncount in aux variable which is written to toc
|
||||
\immediate\write\tocoutput{\noexpand\expandafter\noexpand\edef\noexpand\csname toc@references\endcsname{\thelncount}}
|
||||
\write\tocoutput{\noexpand\tocreferences{\thepage}}\penalty10000
|
||||
\fi
|
||||
|
||||
% write
|
||||
{\bf \LARGE References}\par\penalty10000\bigskip\penalty10000
|
||||
% width of header
|
||||
\settowidth\bibheader{[#1]}
|
||||
\leftskip\bibheader
|
||||
}
|
||||
% end environment
|
||||
\def\endthebibliography{
|
||||
\par\leftskip0pt
|
||||
}
|
||||
|
||||
%% bibitem command
|
||||
\def\bibitem[#1]#2{%
|
||||
\hrefanchor%
|
||||
\outdef{label@cite#2}{#1}%
|
||||
\hskip-\bibheader%
|
||||
\makebox[\bibheader]{\cite{#2}\hfill}%
|
||||
}
|
||||
|
||||
%% cite command
|
||||
% @tempswa is set to true when there is an optional argument
|
||||
\newif\@tempswa
|
||||
\def\cite{%
|
||||
% check whether there is an optional argument (if there is none, add on empty '[]')
|
||||
\@ifnextchar [{\@tempswatrue\@citex}{\@tempswafalse\@citex[]}%
|
||||
}
|
||||
% command with optional argument
|
||||
\def\@citex[#1]#2{\leavevmode%
|
||||
% initialize loop
|
||||
\let\@cite@separator\@empty%
|
||||
% format
|
||||
\@cite{%
|
||||
% loop over ',' separated list
|
||||
\@for\@cite@:=#2\do{%
|
||||
% text to add at each iteration of the loop (separator between citations)
|
||||
\@cite@separator\def\@cite@separator{,\ }%
|
||||
% add entry to citelist
|
||||
\@writecitation{\@cite@}%
|
||||
\ref{cite\@cite@}%
|
||||
}%
|
||||
}%
|
||||
% add optional argument text (as an argument to '\@cite')
|
||||
{#1}%
|
||||
}
|
||||
\def\@cite#1#2{%
|
||||
[#1\if@tempswa , #2\fi]%
|
||||
}
|
||||
%% add entry to citelist after checking it has not already been added
|
||||
\def\@writecitation#1{%
|
||||
\ifcsname if#1cited\endcsname%
|
||||
\else%
|
||||
\expandafter\newif\csname if#1cited\endcsname%
|
||||
\immediate\write\@auxout{\string\citation{#1}}%
|
||||
\fi%
|
||||
}
|
||||
|
||||
%% table of contents
|
||||
% boolean
|
||||
\newif\iftoc
|
||||
\def\tableofcontents{
|
||||
{\bf \large Table of contents:}\par\penalty10000\smallskip\penalty10000
|
||||
|
||||
% copy content from file
|
||||
\IfFileExists{\jobname.toc}{\input{\jobname.toc}}{{\tt error: table of contents missing}}
|
||||
|
||||
% open new toc
|
||||
\newwrite\tocoutput
|
||||
\immediate\openout\tocoutput=\jobname.toc
|
||||
|
||||
\toctrue
|
||||
}
|
||||
%% close file
|
||||
\AtEndDocument{
|
||||
% close toc
|
||||
\iftoc
|
||||
\immediate\closeout\tocoutput
|
||||
\fi
|
||||
}
|
||||
|
||||
|
||||
%% fill line with dots
|
||||
\def\leaderfill{\leaders\hbox to 1em {\hss. \hss}\hfill}
|
||||
|
||||
%% same as sectionprefix
|
||||
\def\tocsectionprefix{}
|
||||
|
||||
%% toc formats
|
||||
\newcounter{tocsectioncount}
|
||||
\def\tocsection #1#2{
|
||||
\stepcounter{tocsectioncount}
|
||||
\setcounter{tocsubsectioncount}{0}
|
||||
\setcounter{tocsubsubsectioncount}{0}
|
||||
% write
|
||||
\smallskip\hyperlink{ln.\csname toc@sec.\thetocsectioncount\endcsname}{{\bf \tocsectionprefix\thetocsectioncount}.\hskip5pt {\color{blue}#1}\leaderfill#2}\par
|
||||
}
|
||||
\newcounter{tocsubsectioncount}
|
||||
\def\tocsubsection #1#2{
|
||||
\stepcounter{tocsubsectioncount}
|
||||
\setcounter{tocsubsubsectioncount}{0}
|
||||
% write
|
||||
{\hskip10pt\hyperlink{ln.\csname toc@subsec.\thetocsectioncount.\thetocsubsectioncount\endcsname}{{\bf \tocsectionprefix\thetocsectioncount.\thetocsubsectioncount}.\hskip5pt {\color{blue}\small #1}\leaderfill#2}}\par
|
||||
}
|
||||
\newcounter{tocsubsubsectioncount}
|
||||
\def\tocsubsubsection #1#2{
|
||||
\stepcounter{tocsubsubsectioncount}
|
||||
% write
|
||||
{\hskip20pt\hyperlink{ln.\csname toc@subsubsec.\thetocsectioncount.\thetocsubsectioncount.\thetocsubsubsectioncount\endcsname}{{\bf \tocsectionprefix\thetocsectioncount.\thetocsubsectioncount.\thetocsubsubsectioncount}.\hskip5pt {\color{blue}\small #1}\leaderfill#2}}\par
|
||||
}
|
||||
\def\tocappendices{
|
||||
\medskip
|
||||
\setcounter{tocsectioncount}0
|
||||
{\bf Appendices}\par
|
||||
\smallskip
|
||||
\def\tocsectionprefix{A}
|
||||
}
|
||||
\def\tocreferences#1{
|
||||
\medskip
|
||||
{\hyperlink{ln.\csname toc@references\endcsname}{{\color{blue}\bf References}\leaderfill#1}}\par
|
||||
\smallskip
|
||||
}
|
||||
\def\tocexercises#1{
|
||||
\medskip
|
||||
\setcounter{tocsectioncount}0
|
||||
{\hyperlink{ln.\csname toc@exercises\endcsname}{{\color{blue}\bf Exercises}\leaderfill#1}}\par
|
||||
\smallskip
|
||||
\def\tocsectionprefix{E}
|
||||
}
|
||||
|
||||
|
||||
%% definitions that must be loaded at begin document
|
||||
\let\ian@olddocument\document
|
||||
\def\document{
|
||||
\ian@olddocument
|
||||
|
||||
\deflabel
|
||||
\defcaption
|
||||
}
|
||||
|
||||
%% end
|
||||
\ian@defaultoptions
|
||||
\endinput
|
||||
162
libs/iantheo.sty
Normal file
162
libs/iantheo.sty
Normal file
@ -0,0 +1,162 @@
|
||||
%%
|
||||
%% iantheorem package:
|
||||
%% Ian's customized theorem command
|
||||
%%
|
||||
|
||||
%% boolean to signal that this package was loaded
|
||||
\newif\ifiantheo
|
||||
|
||||
%% TeX format
|
||||
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
|
||||
|
||||
%% package name
|
||||
\ProvidesPackage{iantheo}[2016/11/10]
|
||||
|
||||
%% options
|
||||
\newif\ifsectionintheo
|
||||
\DeclareOption{section_in_theo}{\sectionintheotrue}
|
||||
\DeclareOption{no_section_in_theo}{\sectionintheofalse}
|
||||
\newif\ifsubsectionintheo
|
||||
\DeclareOption{subsection_in_theo}{\subsectionintheotrue}
|
||||
\DeclareOption{no_subsection_in_theo}{\subsectionintheofalse}
|
||||
|
||||
\def\iantheo@defaultoptions{
|
||||
\ExecuteOptions{section_in_theo, no_subsection_in_theo}
|
||||
\ProcessOptions
|
||||
|
||||
%%% reset at every new section
|
||||
\ifsectionintheo
|
||||
\let\iantheo@oldsection\section
|
||||
\gdef\section{\setcounter{theocount}{0}\iantheo@oldsection}
|
||||
\fi
|
||||
|
||||
%% reset at every new subsection
|
||||
\ifsubsectionintheo
|
||||
\let\iantheo@oldsubsection\subsection
|
||||
\gdef\subsection{\setcounter{theocount}{0}\iantheo@oldsubsection}
|
||||
\fi
|
||||
}
|
||||
|
||||
|
||||
%% delimiters
|
||||
\def\delimtitle#1{
|
||||
\par%
|
||||
\leavevmode%
|
||||
\raise.3em\hbox to\hsize{%
|
||||
\lower0.3em\hbox{\vrule height0.3em}%
|
||||
\hrulefill%
|
||||
\ \lower.3em\hbox{#1}\ %
|
||||
\hrulefill%
|
||||
\lower0.3em\hbox{\vrule height0.3em}%
|
||||
}%
|
||||
\par\penalty10000%
|
||||
}
|
||||
|
||||
%% callable by ref
|
||||
\def\delimtitleref#1{
|
||||
\par%
|
||||
%
|
||||
\ifdefined\ianclass%
|
||||
% hyperref anchor%
|
||||
\hrefanchor%
|
||||
% define tag (for \label)%
|
||||
\xdef\tag{#1}%
|
||||
\fi%
|
||||
%
|
||||
\leavevmode%
|
||||
\raise.3em\hbox to\hsize{%
|
||||
\lower0.3em\hbox{\vrule height0.3em}%
|
||||
\hrulefill%
|
||||
\ \lower.3em\hbox{\bf #1}\ %
|
||||
\hrulefill%
|
||||
\lower0.3em\hbox{\vrule height0.3em}%
|
||||
}%
|
||||
\par\penalty10000%
|
||||
}
|
||||
|
||||
%% no title
|
||||
\def\delim{
|
||||
\par%
|
||||
\leavevmode\raise.3em\hbox to\hsize{%
|
||||
\lower0.3em\hbox{\vrule height0.3em}%
|
||||
\hrulefill%
|
||||
\lower0.3em\hbox{\vrule height0.3em}%
|
||||
}%
|
||||
\par\penalty10000%
|
||||
}
|
||||
|
||||
%% end delim
|
||||
\def\enddelim{
|
||||
\par\penalty10000%
|
||||
\leavevmode%
|
||||
\raise.3em\hbox to\hsize{%
|
||||
\vrule height0.3em\hrulefill\vrule height0.3em%
|
||||
}%
|
||||
\par%
|
||||
}
|
||||
|
||||
|
||||
%% theorem
|
||||
% counter
|
||||
\newcounter{theocount}
|
||||
% booleans (write section or subsection in equation number)
|
||||
\def\theo#1{
|
||||
\stepcounter{theocount}
|
||||
\ifdefined\ianclass
|
||||
% hyperref anchor
|
||||
\hrefanchor
|
||||
\fi
|
||||
% the number
|
||||
\def\formattheo{\thetheocount}
|
||||
% add subsection number
|
||||
\ifsubsectionintheo
|
||||
\let\tmp\formattheo
|
||||
\edef\formattheo{\thesubsectioncount.\tmp}
|
||||
\fi
|
||||
% add section number
|
||||
\ifsectionintheo
|
||||
\let\tmp\formattheo
|
||||
\edef\formattheo{\sectionprefix\thesectioncount.\tmp}
|
||||
\fi
|
||||
% define tag (for \label)
|
||||
\xdef\tag{\formattheo}
|
||||
% write
|
||||
\delimtitle{\bf #1 \formattheo}
|
||||
}
|
||||
\let\endtheo\enddelim
|
||||
%% theorem headers with name
|
||||
\def\theoname#1#2{
|
||||
\theo{#1}\hfil({\it #2})\par\penalty10000\medskip%
|
||||
}
|
||||
|
||||
|
||||
%% qed symbol
|
||||
\def\qedsymbol{$\square$}
|
||||
\def\qed{\penalty10000\hfill\penalty10000\qedsymbol}
|
||||
|
||||
|
||||
%% compatibility with article class
|
||||
\ifdefined\ianclasstrue
|
||||
\relax
|
||||
\else
|
||||
\def\thesectioncount{\thesection}
|
||||
\def\thesubsectioncount{\thesubsection}
|
||||
\def\sectionprefix{}
|
||||
\fi
|
||||
|
||||
|
||||
%% prevent page breaks after displayed equations
|
||||
\newcount\prevpostdisplaypenalty
|
||||
\def\nopagebreakaftereq{
|
||||
\prevpostdisplaypenalty=\postdisplaypenalty
|
||||
\postdisplaypenalty=10000
|
||||
}
|
||||
%% back to previous value
|
||||
\def\restorepagebreakaftereq{
|
||||
\postdisplaypenalty=\prevpostdisplaypenalty
|
||||
}
|
||||
|
||||
|
||||
%% end
|
||||
\iantheo@defaultoptions
|
||||
\endinput
|
||||
19
libs/largearray.sty
Normal file
19
libs/largearray.sty
Normal file
@ -0,0 +1,19 @@
|
||||
%%
|
||||
%% largearray package:
|
||||
%% Array spanning the entire line
|
||||
%%
|
||||
|
||||
%% TeX format
|
||||
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
|
||||
|
||||
%% package name
|
||||
\ProvidesPackage{largearray}[2016/11/10]
|
||||
|
||||
\RequirePackage{array}
|
||||
|
||||
%% array spanning the entire line
|
||||
\newlength\largearray@width
|
||||
\setlength\largearray@width\textwidth
|
||||
\addtolength\largearray@width{-10pt}
|
||||
\def\largearray{\begin{array}{@{}>{\displaystyle}l@{}}\hphantom{\hspace{\largearray@width}}\\[-.5cm]}
|
||||
\def\endlargearray{\end{array}}
|
||||
114
libs/point.sty
Normal file
114
libs/point.sty
Normal file
@ -0,0 +1,114 @@
|
||||
%%
|
||||
%% Points package:
|
||||
%% \point commands
|
||||
%%
|
||||
|
||||
%% TeX format
|
||||
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
|
||||
|
||||
%% package name
|
||||
\ProvidesPackage{point}[2017/06/13]
|
||||
|
||||
%% options
|
||||
\newif\ifresetatsection
|
||||
\DeclareOption{reset_at_section}{\resetatsectiontrue}
|
||||
\DeclareOption{no_reset_at_section}{\resetatsectionfalse}
|
||||
\newif\ifresetatsubsection
|
||||
\DeclareOption{reset_at_subsection}{\resetatsubsectiontrue}
|
||||
\DeclareOption{no_reset_at_subsection}{\resetatsubsectionfalse}
|
||||
\newif\ifresetatsubsubsection
|
||||
\DeclareOption{reset_at_subsubsection}{\resetatsubsubsectiontrue}
|
||||
\DeclareOption{no_reset_at_subsubsection}{\resetatsubsubsectionfalse}
|
||||
\newif\ifresetattheo
|
||||
\DeclareOption{reset_at_theo}{\resetattheotrue}
|
||||
\DeclareOption{no_reset_at_theo}{\resetattheofalse}
|
||||
|
||||
\def\point@defaultoptions{
|
||||
\ExecuteOptions{reset_at_section, reset_at_subsection, reset_at_subsubsection, no_reset_at_theo}
|
||||
\ProcessOptions
|
||||
|
||||
%% reset at every new section
|
||||
\ifresetatsection
|
||||
\let\point@oldsection\section
|
||||
\gdef\section{\resetpointcounter\point@oldsection}
|
||||
\fi
|
||||
%% reset at every new subsection
|
||||
\ifresetatsubsection
|
||||
\let\point@oldsubsection\subsection
|
||||
\gdef\subsection{\resetpointcounter\point@oldsubsection}
|
||||
\fi
|
||||
%% reset at every new subsubsection
|
||||
\ifresetatsubsubsection
|
||||
\let\point@oldsubsubsection\subsubsection
|
||||
\gdef\subsubsection{\resetpointcounter\point@oldsubsubsection}
|
||||
\fi
|
||||
|
||||
%% reset at every new theorem
|
||||
\ifresetattheo
|
||||
\ifdefined\iantheotrue
|
||||
\let\point@oldtheo\theo
|
||||
\gdef\theo{\resetpointcounter\point@oldtheo}
|
||||
\fi
|
||||
\fi
|
||||
}
|
||||
|
||||
|
||||
%% point
|
||||
% counter
|
||||
\newcounter{pointcount}
|
||||
\def\point{
|
||||
\stepcounter{pointcount}
|
||||
\setcounter{subpointcount}{0}
|
||||
% hyperref anchor (only if the class is 'ian')
|
||||
\ifdefined\ifianclass
|
||||
\hrefanchor
|
||||
% define tag (for \label)
|
||||
\xdef\tag{\thepointcount}
|
||||
\fi
|
||||
% header
|
||||
\indent{\bf \thepointcount\ - }
|
||||
}
|
||||
|
||||
%% subpoint
|
||||
% counter
|
||||
\newcounter{subpointcount}
|
||||
\def\subpoint{
|
||||
\stepcounter{subpointcount}
|
||||
\setcounter{subsubpointcount}0
|
||||
% hyperref anchor (only if the class is 'ian')
|
||||
\ifdefined\ifianclass
|
||||
\hrefanchor
|
||||
% define tag (for \label)
|
||||
\xdef\tag{\thepointcount-\thesubpointcount}
|
||||
\fi
|
||||
% header
|
||||
\indent\hskip.5cm{\bf \thepointcount-\thesubpointcount\ - }
|
||||
}
|
||||
|
||||
%% subsubpoint
|
||||
% counter
|
||||
\newcounter{subsubpointcount}
|
||||
\def\subsubpoint{
|
||||
\stepcounter{subsubpointcount}
|
||||
% hyperref anchor (only if the class is 'ian')
|
||||
\ifdefined\ifianclass
|
||||
\hrefanchor
|
||||
% define tag (for \label)
|
||||
\xdef\tag{\thepointcount-\thesubpointcount-\thesubsubpointcount}
|
||||
\fi
|
||||
\indent\hskip1cm{\bf \thepointcount-\thesubpointcount-\thesubsubpointcount\ - }
|
||||
}
|
||||
|
||||
|
||||
%% reset point counters
|
||||
\def\resetpointcounter{
|
||||
\setcounter{pointcount}{0}
|
||||
\setcounter{subpointcount}{0}
|
||||
\setcounter{subsubpointcount}{0}
|
||||
}
|
||||
|
||||
|
||||
|
||||
%% end
|
||||
\point@defaultoptions
|
||||
\endinput
|
||||
144
libs/problemset.sty
Normal file
144
libs/problemset.sty
Normal file
@ -0,0 +1,144 @@
|
||||
%%
|
||||
%% problemset package:
|
||||
%% macros for problem sets
|
||||
%%
|
||||
|
||||
%% TeX format
|
||||
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
|
||||
|
||||
%% package name
|
||||
\ProvidesPackage{problemset}[2022/01/25]
|
||||
|
||||
\newif\ifproblemineq
|
||||
\newif\ifquestionineq
|
||||
|
||||
\DeclareOption{problem_in_eq}{\problemineqtrue}
|
||||
\DeclareOption{no_problem_in_eq}{\problemineqfalse}
|
||||
\DeclareOption{question_in_eq}{\questionineqtrue}
|
||||
\DeclareOption{no_question_in_eq}{\questionineqfalse}
|
||||
|
||||
\def\problemset@defaultoptions{
|
||||
\ExecuteOptions{problem_in_eq, no_question_in_eq}
|
||||
\ProcessOptions
|
||||
}
|
||||
|
||||
%% the problem command handles automatic problem numbering, as well as per-problem equation numbering
|
||||
|
||||
% problem counter
|
||||
\newcounter{problemcount}
|
||||
|
||||
% problem@temp is set to true when there is an optional argument
|
||||
\newif\ifproblem@temp
|
||||
\def\problem{%
|
||||
% check whether there is an optional argument (if there is none, add on empty '[]')
|
||||
\@ifnextchar [{\problem@temptrue\@problemx}{\problem@tempfalse\@problemx[]}%
|
||||
}
|
||||
% command with optional argument
|
||||
\def\@problemx[#1]{%
|
||||
% reset question counter
|
||||
\setcounter{questioncount}{0}
|
||||
% if optional argument, set problem num to argument
|
||||
\ifproblem@temp%
|
||||
\edef\problemnum{#1}%
|
||||
% otherwise, count
|
||||
\else%
|
||||
\stepcounter{problemcount}%
|
||||
\edef\problemnum{\theproblemcount}%
|
||||
\fi%
|
||||
% if ian class
|
||||
\ifianclass%
|
||||
% define tag for label
|
||||
\hrefanchor%
|
||||
\xdef\tag{E\problemnum}%
|
||||
%
|
||||
% add header to equation numbers (for ian class)
|
||||
\ifproblemineq%
|
||||
\def\eqprefix{E\problemnum.}%
|
||||
% reset equation number
|
||||
\setcounter{seqcount}{0}%
|
||||
\fi%
|
||||
\fi%
|
||||
% header
|
||||
\problemformat{E\problemnum}%
|
||||
}
|
||||
|
||||
% problem formatting (override to customize)
|
||||
\def\problemformat#1{{\bf #1}. }
|
||||
|
||||
|
||||
%% question is to problem as subsection is to section
|
||||
|
||||
% question counter
|
||||
\newcounter{questioncount}
|
||||
|
||||
% question@temp is set to true when there is an optional argument
|
||||
\newif\ifquestion@temp
|
||||
\def\question{%
|
||||
% check whether there is an optional argument (if there is none, add on empty '[]')
|
||||
\@ifnextchar [{\question@temptrue\@questionx}{\question@tempfalse\@questionx[]}%
|
||||
}
|
||||
% command with optional argument
|
||||
\def\@questionx[#1]{%
|
||||
% if optional argument, set problem num to argument
|
||||
\ifquestion@temp%
|
||||
\edef\questionnum{#1}%
|
||||
% otherwise, count
|
||||
\else%
|
||||
\stepcounter{questioncount}%
|
||||
\edef\questionnum{\alph{questioncount}}%
|
||||
\fi%
|
||||
% header
|
||||
\questionformat{\questionnum}%
|
||||
% if ian class
|
||||
\ifianclass%
|
||||
% define tag for label
|
||||
\hrefanchor%
|
||||
\xdef\tag{\questionnum}%
|
||||
%
|
||||
% add header to equation numbers (for ian class)
|
||||
\ifquestionineq%
|
||||
\def\eqprefix{\questionnum.}%
|
||||
% reset equation number
|
||||
\setcounter{seqcount}{0}%
|
||||
\fi%
|
||||
\fi%
|
||||
}
|
||||
|
||||
% question formatting (override to customize)
|
||||
\def\questionformat#1{{\bf(#1)} }
|
||||
|
||||
\def\solution#1{
|
||||
\makelink{sol:#1}{\thepage}
|
||||
{\bf Solution\-~\ref{ex:#1}}\par\penalty10000\smallskip\penalty10000
|
||||
\def\eqprefix{S\textref{ex:#1}.}
|
||||
\resetpointcounter
|
||||
\setcounter{seqcount}{0}
|
||||
}
|
||||
|
||||
%\newif\ifsolution
|
||||
%% display solutions
|
||||
%\long\def\solution#1{
|
||||
% \ifsolution
|
||||
% \bigskip
|
||||
% \leftskip20pt
|
||||
% \rightskip20pt
|
||||
% {\bf Solution}: #1
|
||||
% \par
|
||||
% \leftskip0pt
|
||||
% \rightskip0pt
|
||||
% \bigskip
|
||||
% \fi
|
||||
%}
|
||||
|
||||
|
||||
% rubric
|
||||
\newif\ifrubric
|
||||
\long\def\rubric#1{
|
||||
\ifrubric
|
||||
({\it #1})
|
||||
\fi
|
||||
}
|
||||
|
||||
%% end
|
||||
\problemset@defaultoptions
|
||||
\endinput
|
||||
Loading…
Reference in New Issue
Block a user