Merge pull request #4 from AndreasFMueller/master

update

20 files changed, 664 insertions, 0 deletions

diff --git a/buch/papers/kugel/figures/flux.pdf b/buch/papers/kugel/figures/flux.pdf
new file mode 100644
index 0000000..6a87288
--- /dev/null
+++ b/buch/papers/kugel/figures/flux.pdf
diff --git a/buch/papers/kugel/images/Makefile b/buch/papers/kugel/figures/povray/Makefile
index 4226dab..4226dab 100644
--- a/buch/papers/kugel/images/Makefile
+++ b/buch/papers/kugel/figures/povray/Makefile
diff --git a/buch/papers/kugel/figures/povray/curvature.jpg b/buch/papers/kugel/figures/povray/curvature.jpg
new file mode 100644
index 0000000..6448966
--- /dev/null
+++ b/buch/papers/kugel/figures/povray/curvature.jpg
diff --git a/buch/papers/kugel/images/curvature.maxima b/buch/papers/kugel/figures/povray/curvature.maxima
index 6313642..6313642 100644
--- a/buch/papers/kugel/images/curvature.maxima
+++ b/buch/papers/kugel/figures/povray/curvature.maxima
diff --git a/buch/papers/kugel/figures/povray/curvature.png b/buch/papers/kugel/figures/povray/curvature.png
new file mode 100644
index 0000000..20268f2
--- /dev/null
+++ b/buch/papers/kugel/figures/povray/curvature.png
diff --git a/buch/papers/kugel/images/curvature.pov b/buch/papers/kugel/figures/povray/curvature.pov
index 3b15d77..3b15d77 100644
--- a/buch/papers/kugel/images/curvature.pov
+++ b/buch/papers/kugel/figures/povray/curvature.pov
diff --git a/buch/papers/kugel/images/curvgraph.m b/buch/papers/kugel/figures/povray/curvgraph.m
index 75effd6..75effd6 100644
--- a/buch/papers/kugel/images/curvgraph.m
+++ b/buch/papers/kugel/figures/povray/curvgraph.m
diff --git a/buch/papers/kugel/images/spherecurve.cpp b/buch/papers/kugel/figures/povray/spherecurve.cpp
index 8ddf5e5..8ddf5e5 100644
--- a/buch/papers/kugel/images/spherecurve.cpp
+++ b/buch/papers/kugel/figures/povray/spherecurve.cpp
diff --git a/buch/papers/kugel/figures/povray/spherecurve.jpg b/buch/papers/kugel/figures/povray/spherecurve.jpg
new file mode 100644
index 0000000..cd2e7c8
--- /dev/null
+++ b/buch/papers/kugel/figures/povray/spherecurve.jpg
diff --git a/buch/papers/kugel/images/spherecurve.m b/buch/papers/kugel/figures/povray/spherecurve.m
index 99d5c9a..99d5c9a 100644
--- a/buch/papers/kugel/images/spherecurve.m
+++ b/buch/papers/kugel/figures/povray/spherecurve.m
diff --git a/buch/papers/kugel/images/spherecurve.maxima b/buch/papers/kugel/figures/povray/spherecurve.maxima
index 1e9077c..1e9077c 100644
--- a/buch/papers/kugel/images/spherecurve.maxima
+++ b/buch/papers/kugel/figures/povray/spherecurve.maxima
diff --git a/buch/papers/kugel/figures/povray/spherecurve.png b/buch/papers/kugel/figures/povray/spherecurve.png
new file mode 100644
index 0000000..ff24371
--- /dev/null
+++ b/buch/papers/kugel/figures/povray/spherecurve.png
diff --git a/buch/papers/kugel/images/spherecurve.pov b/buch/papers/kugel/figures/povray/spherecurve.pov
index b1bf4b8..b1bf4b8 100644
--- a/buch/papers/kugel/images/spherecurve.pov
+++ b/buch/papers/kugel/figures/povray/spherecurve.pov
diff --git a/buch/papers/kugel/figures/tikz/Makefile b/buch/papers/kugel/figures/tikz/Makefile
new file mode 100644
index 0000000..4ec4e5a
--- /dev/null
+++ b/buch/papers/kugel/figures/tikz/Makefile
@@ -0,0 +1,12 @@
+FIGURES := spherical-coordinates.pdf curvature-1d.pdf
+
+all: $(FIGURES)
+
+%.pdf: %.tex
+	pdflatex $<
+
+curvature-1d.pdf: curvature-1d.tex curvature-1d.dat
+	pdflatex curvature-1d.tex
+
+curvature-1d.dat: curvature-1d.py
+	python3 $<
diff --git a/buch/papers/kugel/figures/tikz/curvature-1d.dat b/buch/papers/kugel/figures/tikz/curvature-1d.dat
new file mode 100644
index 0000000..6622398
--- /dev/null
+++ b/buch/papers/kugel/figures/tikz/curvature-1d.dat
@@ -0,0 +1,500 @@
+0.000000000000000000e+00  1.000000000000000000e+00  5.000007286987066095e+02
+2.004008016032064049e-02  1.025056790958151831e+00  4.899813296957295279e+02
+4.008016032064128098e-02  1.050121598724190752e+00  4.799659543969494848e+02
+6.012024048096192147e-02  1.075186379145250948e+00  4.699586248906784931e+02
+8.016032064128256196e-02  1.100243094530689136e+00  4.599633600341078932e+02
+1.002004008016031955e-01  1.125283716879951434e+00  4.499841738393695891e+02
+1.202404809619238429e-01  1.150300231106550664e+00  4.400250738615438877e+02
+1.402805611222444904e-01  1.175284638256853809e+00  4.300900595892592833e+02
+1.603206412825651239e-01  1.200228958722394657e+00  4.201831208385332275e+02
+1.803607214428857575e-01  1.225125235444413541e+00  4.103082361504954747e+02
+2.004008016032063910e-01  1.249965537109345881e+00  4.004693711936409954e+02
+2.204408817635270523e-01  1.274741961333968554e+00  3.906704771712513775e+02
+2.404809619238476859e-01  1.299446637838927776e+00  3.809154892346260795e+02
+2.605210420841683194e-01  1.324071731609375302e+00  3.712083249027585907e+02
+2.805611222444889807e-01  1.348609446041445725e+00  3.615528824890962483e+02
+3.006012024048095865e-01  1.373052026073301457e+00  3.519530395360096122e+02
+3.206412825651302478e-01  1.397391761299501045e+00  3.424126512576057166e+02
+3.406813627254509091e-01  1.421620989067430063e+00  3.329355489915074031e+02
+3.607214428857715149e-01  1.445732097554558448e+00  3.235255386602207750e+02
+3.807615230460921762e-01  1.469717528825280173e+00  3.141863992427096832e+02
+4.008016032064127820e-01  1.493569781866116220e+00  3.049218812567906411e+02
+4.208416833667334433e-01  1.517281415598057848e+00  2.957357052529569614e+02
+4.408817635270541047e-01  1.540845051864837556e+00  2.866315603202378384e+02
+4.609218436873747105e-01  1.564253378395934257e+00  2.776131026046919601e+02
+4.809619238476953718e-01  1.587499151743118286e+00  2.686839538411309150e+02
+5.010020040080159776e-01  1.610575200189357625e+00  2.598476998986618582e+02
+5.210420841683366389e-01  1.633474426628916509e+00  2.511078893406329655e+02
+5.410821643286573002e-01  1.656189811417493107e+00  2.424680319995614752e+02
+5.611222444889779615e-01  1.678714415191247422e+00  2.339315975676150003e+02
+5.811623246492986228e-01  1.701041381653590534e+00  2.255020142032130082e+02
+6.012024048096191731e-01  1.723163940328612753e+00  2.171826671543084046e+02
+6.212424849699398344e-01  1.745075409280051337e+00  2.089768973989005474e+02
+6.412825651302604957e-01  1.766769197794693991e+00  2.008880003033277433e+02
+6.613226452905811570e-01  1.788238809029157217e+00  1.929192242988764008e+02
+6.813627254509018183e-01  1.809477842618958832e+00  1.850737695772391760e+02
+7.014028056112223686e-01  1.830479997248850577e+00  1.773547868053454408e+02
+7.214428857715430299e-01  1.851239073183373218e+00  1.697653758600805816e+02
+7.414829659318636912e-01  1.871748974756613837e+00  1.623085845834024497e+02
+7.615230460921843525e-01  1.892003712820175432e+00  1.549874075583541639e+02
+7.815631262525050138e-01  1.911997407148365635e+00  1.478047849064652723e+02
+8.016032064128255641e-01  1.931724288799645972e+00  1.407636011070246695e+02
+8.216432865731462254e-01  1.951178702433387091e+00  1.338666838386980942e+02
+8.416833667334668867e-01  1.970355108581006931e+00  1.271168028439571600e+02
+8.617234468937875480e-01  1.989248085870571892e+00  1.205166688167746969e+02
+8.817635270541082093e-01  2.007852333203973494e+00  1.140689323140332476e+02
+9.018036072144288706e-01  2.026162671885804123e+00  1.077761826910842018e+02
+9.218436873747494209e-01  2.044174047703075203e+00  1.016409470618853419e+02
+9.418837675350700822e-01  2.061881532954947804e+00  9.566568928413349227e+01
+9.619238476953907435e-01  2.079280328431652780e+00  8.985280896980044929e+01
+9.819639278557114048e-01  2.096365765341811738e+00  8.420464052146976996e+01
+1.002004008016031955e+00  2.113133307187384347e+00  7.872345219486057033e+01
+1.022044088176352616e+00  2.129578551585488810e+00  7.341144518791566043e+01
+1.042084168336673278e+00  2.145697232036356539e+00  6.827075275681968947e+01
+1.062124248496993939e+00  2.161485219636723798e+00  6.330343935930140020e+01
+1.082164328657314600e+00  2.176938524737964453e+00  5.851149982556578522e+01
+1.102204408817635262e+00  2.192053298548298113e+00  5.389685855718687435e+01
+1.122244488977955923e+00  2.206825834678430187e+00  4.946136875428519630e+01
+1.142284569138276584e+00  2.221252570630007028e+00  4.520681167129833966e+01
+1.162324649298597246e+00  2.235330089226285288e+00  4.113489590164444110e+01
+1.182364729458917685e+00  2.249055119984439521e+00  3.724725669156617869e+01
+1.202404809619238346e+00  2.262424540428958686e+00  3.354545528342948302e+01
+1.222444889779559007e+00  2.275435377345608856e+00  3.003097828874255271e+01
+1.242484969939879669e+00  2.288084807975446999e+00  2.670523709114522859e+01
+1.262525050100200330e+00  2.300370161148418191e+00  2.356956727960955078e+01
+1.282565130260520991e+00  2.312288918356074419e+00  2.062522811207871243e+01
+1.302605210420841653e+00  2.323838714762985536e+00  1.787340200976009186e+01
+1.322645290581162314e+00  2.335017340156437360e+00  1.531519408227492640e+01
+1.342685370741482975e+00  2.345822739834032333e+00  1.295163168385587404e+01
+1.362725450901803637e+00  2.356253015428841913e+00  1.078366400077049292e+01
+1.382765531062124298e+00  2.366306425671775404e+00  8.812161670136093861e+00
+1.402805611222444737e+00  2.375981387090854824e+00  7.037916430279492097e+00
+1.422845691382765398e+00  2.385276474647127998e+00  5.461640802781636772e+00
+1.442885771543086060e+00  2.394190422306948562e+00  4.083967806335150996e+00
+1.462925851703406721e+00  2.402722123550405264e+00  2.905450702529595031e+00
+1.482965931863727382e+00  2.410870631815691834e+00  1.926562773666154138e+00
+1.503006012024048044e+00  2.418635160879236246e+00  1.147697132691613664e+00
+1.523046092184368705e+00  2.426015085171442820e+00  5.691665653277303560e-01
+1.543086172344689366e+00  2.433009940027915263e+00  1.912034044591185422e-01
+1.563126252505010028e+00  2.439619421876060734e+00  1.395943683027547552e-02
+1.583166332665330689e+00  2.445843388357002546e+00  3.750584208938356756e-02
+1.603206412825651128e+00  2.451681858382752210e+00  2.618331642032580286e-01
+1.623246492985971789e+00  2.457135012128611962e+00  6.868513152547650602e-01
+1.643286573146292451e+00  2.462203190960818411e+00  1.312389611621266550e+00
+1.663326653306613112e+00  2.466886897299453096e+00  2.138196842519770602e+00
+1.683366733466933773e+00  2.471186794416676769e+00  3.163941370891084848e+00
+1.703406813627254435e+00  2.475103706170361573e+00  4.389211266582178084e+00
+1.723446893787575096e+00  2.478638616673238371e+00  5.813514471774004377e+00
+1.743486973947895757e+00  2.481792669897687542e+00  7.436278998587575018e+00
+1.763527054108216419e+00  2.484567169216326032e+00  9.256853158789395408e+00
+1.783567134268537080e+00  2.486963576878586935e+00  1.127450582550371472e+01
+1.803607214428857741e+00  2.488983513423490557e+00  1.348842672682692978e+01
+1.823647294589178181e+00  2.490628757028852114e+00  1.589772677122579658e+01
+1.843687374749498842e+00  2.491901242797179172e+00  1.850143840458866151e+01
+1.863727454909819503e+00  2.492803061978552392e+00  2.129851599878729118e+01
+1.883767535070140164e+00  2.493336461130795989e+00  2.428783627159159408e+01
+1.903807615230460826e+00  2.493503841217282080e+00  2.746819873777046439e+01
+1.923847695390781487e+00  2.493307756642720641e+00  3.083832619119621654e+01
+1.943887775551102148e+00  2.492750914227336079e+00  3.439686521775931283e+01
+1.963927855711422810e+00  2.491836172119830994e+00  3.814238673888808506e+01
+1.983967935871743471e+00  2.490566538649576334e+00  4.207338658545420174e+01
+2.004008016032063910e+00  2.488945171118494670e+00  4.618828610183413019e+01
+2.024048096192384794e+00  2.486975374533113126e+00  5.048543277988349587e+01
+2.044088176352705233e+00  2.484660600277302400e+00  5.496310092257003532e+01
+2.064128256513026116e+00  2.482004444726231274e+00  5.961949233699898087e+01
+2.084168336673346555e+00  2.479010647802090794e+00  6.445273705655124274e+01
+2.104208416833667439e+00  2.475683091472176578e+00  6.946089409184656915e+01
+2.124248496993987878e+00  2.472025798189923851e+00  7.464195221022733051e+01
+2.144288577154308317e+00  2.468042929279522735e+00  7.999383074345310263e+01
+2.164328657314629201e+00  2.463738783264768806e+00  8.551438042327842481e+01
+2.184368737474949640e+00  2.459117794142811952e+00  9.120138424458035331e+01
+2.204408817635270523e+00  2.454184529603501197e+00  9.705255835568922862e+01
+2.224448897795590963e+00  2.448943689195040463e+00  1.030655529755629374e+02
+2.244488977955911846e+00  2.443400102436689814e+00  1.092379533374396345e+02
+2.264529058116232285e+00  2.437558726879272442e+00  1.155672806585862560e+02
+2.284569138276553169e+00  2.431424646114265897e+00  1.220509931357573947e+02
+2.304609218436873608e+00  2.425003067732275142e+00  1.286864869659601709e+02
+2.324649298597194491e+00  2.418299321231706767e+00  1.354710973921206971e+02
+2.344689378757514930e+00  2.411318855878493483e+00  1.424020997732258422e+02
+2.364729458917835370e+00  2.404067238517710425e+00  1.494767106785168664e+02
+2.384769539078156253e+00  2.396550151337982548e+00  1.566920890052907680e+02
+2.404809619238476692e+00  2.388773389589562868e+00  1.640453371198620403e+02
+2.424849699398797576e+00  2.380742859257013677e+00  1.715335020212285144e+02
+2.444889779559118015e+00  2.372464574687412675e+00  1.791535765269697436e+02
+2.464929859719438898e+00  2.363944656175040571e+00  1.869025004809070936e+02
+2.484969939879759337e+00  2.355189327503528496e+00  1.947771619820341300e+02
+2.505010020040080221e+00  2.346204913446435114e+00  2.027743986342312610e+02
+2.525050100200400660e+00  2.336997837227277053e+00  2.108909988162550349e+02
+2.545090180360721543e+00  2.327574617940013191e+00  2.191237029714987443e+02
+2.565130260521041983e+00  2.317941867931036182e+00  2.274692049170012638e+02
+2.585170340681362422e+00  2.308106290143709938e+00  2.359241531711823257e+02
+2.605210420841683305e+00  2.298074675426524660e+00  2.444851522997685436e+02
+2.625250501002003745e+00  2.287853899805951663e+00  2.531487642793698569e+02
+2.645290581162324628e+00  2.277450921725090449e+00  2.619115098781609845e+02
+2.665330661322645067e+00  2.266872779249217817e+00  2.707698700531099121e+02
+2.685370741482965951e+00  2.256126587239360770e+00  2.797202873631965190e+02
+2.705410821643286390e+00  2.245219534495030533e+00  2.887591673980486462e+02
+2.725450901803607273e+00  2.234158880867263886e+00  2.978828802214276834e+02
+2.745490981963927712e+00  2.222951954343126868e+00  3.070877618289785573e+02
+2.765531062124248596e+00  2.211606148102859937e+00  3.163701156196634088e+02
+2.785571142284569035e+00  2.200128917550841834e+00  3.257262138802831259e+02
+2.805611222444889474e+00  2.188527777321561008e+00  3.351522992824964149e+02
+2.825651302605210358e+00  2.176810298261803389e+00  3.446445863917298311e+02
+2.845691382765530797e+00  2.164984104390269337e+00  3.541992631873747541e+02
+2.865731462925851680e+00  2.153056869835828113e+00  3.638124925936636487e+02
+2.885771543086172120e+00  2.141036315755658670e+00  3.734804140206049965e+02
+2.905811623246493003e+00  2.128930207234495775e+00  3.831991449143642399e+02
+2.925851703406813442e+00  2.116746350166242685e+00  3.929647823164625606e+02
+2.945891783567134325e+00  2.104492588119187158e+00  4.027734044311732191e+02
+2.965931863727454765e+00  2.092176799186097114e+00  4.126210722004783520e+02
+2.985971943887775648e+00  2.079806892820440289e+00  4.225038308859634526e+02
+3.006012024048096087e+00  2.067390806660023728e+00  4.324177116570036219e+02
+3.026052104208416527e+00  2.054936503339299669e+00  4.423587331846135839e+02
+3.046092184368737410e+00  2.042451967291644355e+00  4.523229032403145879e+02
+3.066132264529057849e+00  2.029945201542878497e+00  4.623062202993779124e+02
+3.086172344689378733e+00  2.017424224497317731e+00  4.723046751478044598e+02
+3.106212424849699172e+00  2.004897066717655107e+00  4.823142524923883343e+02
+3.126252505010020055e+00  1.992371767699953278e+00  4.923309325732264483e+02
+3.146292585170340494e+00  1.979856372645053764e+00  5.023506927780170486e+02
+3.166332665330661378e+00  1.967358929227692510e+00  5.123695092575079570e+02
+3.186372745490981817e+00  1.954887484364624450e+00  5.223833585414381560e+02
+3.206412825651302256e+00  1.942450080983050720e+00  5.323882191543301587e+02
+3.226452905811623140e+00  1.930054754790647475e+00  5.423800732304792973e+02
+3.246492985971943579e+00  1.917709531048496396e+00  5.523549081274929904e+02
+3.266533066132264462e+00  1.905422421348207829e+00  5.623087180377352752e+02
+3.286573146292584902e+00  1.893201420394537093e+00  5.722375055970223912e+02
+3.306613226452905785e+00  1.881054502794775818e+00  5.821372834899317468e+02
+3.326653306613226224e+00  1.868989619856223694e+00  5.920040760510720474e+02
+3.346693386773547108e+00  1.857014696393007203e+00  6.018339208616766882e+02
+3.366733466933867547e+00  1.845137627543546266e+00  6.116228703408767160e+02
+3.386773547094188430e+00  1.833366275599931816e+00  6.213669933310161468e+02
+3.406813627254508869e+00  1.821708466850500807e+00  6.310623766763693538e+02
+3.426853707414829309e+00  1.810171988436861001e+00  6.407051267946321786e+02
+3.446893787575150192e+00  1.798764585226647394e+00  6.502913712405503475e+02
+3.466933867735470631e+00  1.787493956703248177e+00  6.598172602610595732e+02
+3.486973947895791515e+00  1.776367753873757227e+00  6.692789683413144530e+02
+3.507014028056111954e+00  1.765393576196397918e+00  6.786726957409805436e+02
+3.527054108216432837e+00  1.754578968528644589e+00  6.879946700201794556e+02
+3.547094188376753277e+00  1.743931418097274477e+00  6.972411475544654422e+02
+3.567134268537074160e+00  1.733458351491558469e+00  7.064084150382354892e+02
+3.587174348697394599e+00  1.723167131680813480e+00  7.154927909759586555e+02
+3.607214428857715482e+00  1.713065055057490182e+00  7.244906271606341761e+02
+3.627254509018035922e+00  1.703159348507010673e+00  7.333983101388791965e+02
+3.647294589178356361e+00  1.693457166505509370e+00  7.422122626620608798e+02
+3.667334669338677244e+00  1.683965588246658651e+00  7.509289451228887629e+02
+3.687374749498997684e+00  1.674691614798728523e+00  7.595448569768896050e+02
+3.707414829659318567e+00  1.665642166293012316e+00  7.680565381481970917e+02
+3.727454909819639006e+00  1.656824079144766593e+00  7.764605704190873894e+02
+3.747494989979959890e+00  1.648244103307762831e+00  7.847535788027066701e+02
+3.767535070140280329e+00  1.639908899563566447e+00  7.929322328984358137e+02
+3.787575150300601212e+00  1.631825036846622945e+00  8.009932482293520479e+02
+3.807615230460921651e+00  1.623998989606231236e+00  8.089333875612445581e+02
+3.827655310621242535e+00  1.616437135206458375e+00  8.167494622026619027e+02
+3.847695390781562974e+00  1.609145751365050003e+00  8.244383332854611126e+02
+3.867735470941883413e+00  1.602131013632347223e+00  8.319969130253510912e+02
+3.887775551102204297e+00  1.595398992911243319e+00  8.394221659619206548e+02
+3.907815631262524736e+00  1.588955653019160641e+00  8.467111101776515625e+02
+3.927855711422845619e+00  1.582806848293030866e+00  8.538608184954326816e+02
+3.947895791583166059e+00  1.576958321238246530e+00  8.608684196540875746e+02
+3.967935871743486942e+00  1.571415700222517753e+00  8.677310994614492756e+02
+3.987975951903807381e+00  1.566184497215570515e+00  8.744461019245148918e+02
+4.008016032064127820e+00  1.561270105575586431e+00  8.810107303562293737e+02
+4.028056112224448704e+00  1.556677797883275982e+00  8.874223484584509833e+02
+4.048096192384769587e+00  1.552412723824457164e+00  8.936783813806663375e+02
+4.068136272545089582e+00  1.548479908121984883e+00  8.997763167540272207e+02
+4.088176352705410466e+00  1.544884248517864656e+00  9.057137057002989877e+02
+4.108216432865731349e+00  1.541630513806363734e+00  9.114881638153049153e+02
+4.128256513026052232e+00  1.538723341918903031e+00  9.170973721264856522e+02
+4.148296593186372228e+00  1.536167238061506124e+00  9.225390780241765469e+02
+4.168336673346693111e+00  1.533966572905543835e+00  9.278110961662381442e+02
+4.188376753507013994e+00  1.532125580832512046e+00  9.329113093556687772e+02
+4.208416833667334878e+00  1.530648358233542172e+00  9.378376693908538755e+02
+4.228456913827654873e+00  1.529538861864323529e+00  9.425881978881050145e+02
+4.248496993987975756e+00  1.528800907256105734e+00  9.471609870761637922e+02
+4.268537074148296639e+00  1.528438167183412855e+00  9.515542005623437944e+02
+4.288577154308616635e+00  1.528454170189090799e+00  9.557660740700115412e+02
+4.308617234468937518e+00  1.528852299167273276e+00  9.597949161471043453e+02
+4.328657314629258401e+00  1.529635790004841844e+00  9.636391088454030296e+02
+4.348697394789579285e+00  1.530807730281920964e+00  9.672971083702858550e+02
+4.368737474949899280e+00  1.532371058031932520e+00  9.707674457007029787e+02
+4.388777555110220163e+00  1.534328560561707189e+00  9.740487271791230341e+02
+4.408817635270541047e+00  1.536682873332125610e+00  9.771396350712136609e+02
+4.428857715430861930e+00  1.539436478899741445e+00  9.800389280950321336e+02
+4.448897795591181925e+00  1.542591705919805545e+00  9.827454419195138371e+02
+4.468937875751502808e+00  1.546150728211101333e+00  9.852580896320574766e+02
+4.488977955911823692e+00  1.550115563882954017e+00  9.875758621750194379e+02
+4.509018036072143687e+00  1.554488074524779329e+00  9.896978287509432448e+02
+4.529058116232464570e+00  1.559269964458483093e+00  9.916231371963593801e+02
+4.549098196392785454e+00  1.564462780054019841e+00  9.933510143240067691e+02
+4.569138276553106337e+00  1.570067909108384452e+00  9.948807662333381359e+02
+4.589178356713426332e+00  1.576086580288286632e+00  9.962117785891847461e+02
+4.609218436873747216e+00  1.582519862636726060e+00  9.973435168684678729e+02
+4.629258517034068099e+00  1.589368665143676473e+00  9.982755265748584179e+02
+4.649298597194388982e+00  1.596633736381040114e+00  9.990074334212996519e+02
+4.669338677354708977e+00  1.604315664202031311e+00  9.995389434803163340e+02
+4.689378757515029861e+00  1.612414875505097545e+00  9.998698433020541643e+02
+4.709418837675350744e+00  1.620931636062481251e+00  1.000000000000000000e+03
+4.729458917835670739e+00  1.629866050413486533e+00  9.999293613043465712e+02
+4.749498997995991623e+00  1.639218061822500072e+00  9.996579555829848687e+02
+4.769539078156312506e+00  1.648987452301774237e+00  9.991858918301107906e+02
+4.789579158316633389e+00  1.659173842698966617e+00  9.985133596224548000e+02
+4.809619238476953385e+00  1.669776692849408217e+00  9.976406290431494881e+02
+4.829659318637274268e+00  1.680795301793028163e+00  9.965680505732656229e+02
+4.849699398797595151e+00  1.692228808055850298e+00  9.952960549510630699e+02
+4.869739478957916035e+00  1.704076189995956891e+00  9.938251529990096742e+02
+4.889779559118236030e+00  1.716336266213768447e+00  9.921559354186391602e+02
+4.909819639278556913e+00  1.729007696026489072e+00  9.902890725533304703e+02
+4.929859719438877796e+00  1.742088980006505361e+00  9.882253141191039276e+02
+4.949899799599197792e+00  1.755578460583548051e+00  9.859654889035417682e+02
+4.969939879759518675e+00  1.769474322710359537e+00  9.835105044329535531e+02
+4.989979959919839558e+00  1.783774594591596818e+00  9.808613466079225418e+02
+5.010020040080160442e+00  1.798477148475690290e+00  9.780190793073752502e+02
+5.030060120240480437e+00  1.813579701509330233e+00  9.749848439613382425e+02
+5.050100200400801320e+00  1.829079816654240354e+00  9.717598590925483677e+02
+5.070140280561122204e+00  1.844974903665872024e+00  9.683454198271051609e+02
+5.090180360721443087e+00  1.861262220133622414e+00  9.647428973743595861e+02
+5.110220440881763082e+00  1.877938872582164631e+00  9.609537384762481906e+02
+5.130260521042083965e+00  1.895001817633443997e+00  9.569794648262927694e+02
+5.150300601202404849e+00  1.912447863228867728e+00  9.528216724585031443e+02
+5.170340681362724844e+00  1.930273669911211520e+00  9.484820311064232783e+02
+5.190380761523045727e+00  1.948475752165717889e+00  9.439622835325791357e+02
+5.210420841683366611e+00  1.967050479819845377e+00  9.392642448286025001e+02
+5.230460921843687494e+00  1.985994079501115728e+00  9.343898016863045086e+02
+5.250501002004007489e+00  2.005302636152468398e+00  9.293409116399966479e+02
+5.270541082164328373e+00  2.024972094604515771e+00  9.241196022803618462e+02
+5.290581162324649256e+00  2.044998261204058920e+00  9.187279704401921663e+02
+5.310621242484970139e+00  2.065376805498225998e+00  9.131681813523182427e+02
+5.330661322645290134e+00  2.086103261973545120e+00  9.074424677800708423e+02
+5.350701402805611018e+00  2.107173031849256084e+00  9.015531291206212927e+02
+5.370741482965931901e+00  2.128581384924137954e+00  8.955025304815651452e+02
+5.390781563126251896e+00  2.150323461476119746e+00  8.892931017311141204e+02
+5.410821643286572780e+00  2.172394274213905074e+00  8.829273365222821894e+02
+5.430861723446893663e+00  2.194788710279818922e+00  8.764077912914567605e+02
+5.450901803607214546e+00  2.217501533303093186e+00  8.697370842317545794e+02
+5.470941883767534542e+00  2.240527385502743662e+00  8.629178942415799156e+02
+5.490981963927855425e+00  2.263860789839213794e+00  8.559529598487991962e+02
+5.511022044088176308e+00  2.287496152213901457e+00  8.488450781109748959e+02
+5.531062124248497192e+00  2.311427763715702355e+00  8.415971034920893317e+02
+5.551102204408817187e+00  2.335649802913659201e+00  8.342119467162179944e+02
+5.571142284569138070e+00  2.360156338194801862e+00  8.266925735986054633e+02
+5.591182364729458953e+00  2.384941330146225447e+00  8.190420038546226351e+02
+5.611222444889778949e+00  2.409998633980471094e+00  8.112633098870738877e+02
+5.631262525050099832e+00  2.435322002003218689e+00  8.033596155523445077e+02
+5.651302605210420715e+00  2.460905086122306518e+00  7.953340949058906517e+02
+5.671342685370741599e+00  2.486741440397069347e+00  7.871899709275636496e+02
+5.691382765531061594e+00  2.512824523626973505e+00  7.789305142272897911e+02
+5.711422845691382477e+00  2.539147701978509364e+00  7.705590417316205958e+02
+5.731462925851703361e+00  2.565704251649277179e+00  7.620789153516853958e+02
+5.751503006012024244e+00  2.592487361568209359e+00  7.534935406330763499e+02
+5.771543086172344239e+00  2.619490136130837588e+00  7.448063653882098833e+02
+5.791583166332665122e+00  2.646705597968513235e+00  7.360208783117147959e+02
+5.811623246492986006e+00  2.674126690750449509e+00  7.271406075794046728e+02
+5.831663326653306001e+00  2.701746282017488454e+00  7.181691194313910955e+02
+5.851703406813626884e+00  2.729557166046437722e+00  7.091100167399115435e+02
+5.871743486973947768e+00  2.757552066743818919e+00  6.999669375624501981e+02
+5.891783567134268651e+00  2.785723640567889792e+00  6.907435536807222434e+02
+5.911823647294588646e+00  2.814064479477745628e+00  6.814435691261201100e+02
+5.931863727454909530e+00  2.842567113908326615e+00  6.720707186922043093e+02
+5.951903807615230413e+00  2.871224015770126758e+00  6.626287664348450335e+02
+5.971943887775551296e+00  2.900027601472412453e+00  6.531215041606080831e+02
+5.991983967935871291e+00  2.928970234968723663e+00  6.435527499039991426e+02
+6.012024048096192175e+00  2.958044230823453802e+00  6.339263463941722421e+02
+6.032064128256513058e+00  2.987241857298241765e+00  6.242461595117250681e+02
+6.052104208416833053e+00  3.016555339456976181e+00  6.145160767361943499e+02
+6.072144288577153937e+00  3.045976862288150677e+00  6.047400055848752345e+02
+6.092184368737474820e+00  3.075498573843291616e+00  5.949218720435990235e+02
+6.112224448897795703e+00  3.105112588390241068e+00  5.850656189900898880e+02
+6.132264529058115698e+00  3.134810989579997376e+00  5.751752046105395948e+02
+6.152304609218436582e+00  3.164585833625852995e+00  5.652546008100322297e+02
+6.172344689378757465e+00  3.194429152493549307e+00  5.553077916174643178e+02
+6.192384769539078349e+00  3.224332957101171182e+00  5.453387715855913029e+02
+6.212424849699398344e+00  3.254289240527490801e+00  5.353515441868502194e+02
+6.232464929859719227e+00  3.284289981227487498e+00  5.253501202055987278e+02
+6.252505010020040110e+00  3.314327146253717160e+00  5.153385161274204620e+02
+6.272545090180360106e+00  3.344392694482282824e+00  5.053207525261383921e+02
+6.292585170340680989e+00  3.374478579842083992e+00  4.953008524491854700e+02
+6.312625250501001872e+00  3.404576754546040807e+00  4.852828398019860288e+02
+6.332665330661322756e+00  3.434679172323020335e+00  4.752707377319885609e+02
+6.352705410821642751e+00  3.464777791649148231e+00  4.652685670130051676e+02
+6.372745490981963634e+00  3.494864578977221026e+00  4.552803444305018843e+02
+6.392785571142284518e+00  3.524931511962900554e+00  4.453100811684944347e+02
+6.412825651302604513e+00  3.554970582686421299e+00  4.353617811986907782e+02
+6.432865731462925396e+00  3.584973800868508143e+00  4.254394396725285787e+02
+6.452905811623246279e+00  3.614933197079194027e+00  4.155470413167602146e+02
+6.472945891783567163e+00  3.644840825938279849e+00  4.056885588332180532e+02
+6.492985971943887158e+00  3.674688769306128311e+00  3.958679513034139177e+02
+6.513026052104208041e+00  3.704469139463525185e+00  3.860891625986033660e+02
+6.533066132264528925e+00  3.734174082279312135e+00  3.763561197959638776e+02
+6.553106212424849808e+00  3.763795780364542765e+00  3.666727316015129077e+02
+6.573146292585169803e+00  3.793326456211875808e+00  3.570428867804062634e+02
+6.593186372745490686e+00  3.822758375318961566e+00  3.474704525952413405e+02
+6.613226452905811570e+00  3.852083849294539952e+00  3.379592732530011290e+02
+6.633266533066131565e+00  3.881295238946041781e+00  3.285131683612518714e+02
+6.653306613226452448e+00  3.910384957347420976e+00  3.191359313942206768e+02
+6.673346693386773332e+00  3.939345472885993349e+00  3.098313281693717158e+02
+6.693386773547094215e+00  3.968169312287071815e+00  3.006030953350844470e+02
+6.713426853707414210e+00  3.996849063615168340e+00  2.914549388700485792e+02
+6.733466933867735094e+00  4.025377379250564047e+00  2.823905325949738199e+02
+6.753507014028055977e+00  4.053746978840048421e+00  2.734135166972172897e+02
+6.773547094188376860e+00  4.081950652220645459e+00  2.645274962689139784e+02
+6.793587174348696855e+00  4.109981262315153927e+00  2.557360398592040838e+02
+6.813627254509017739e+00  4.137831747998339971e+00  2.470426780411323762e+02
+6.833667334669338622e+00  4.165495126932617254e+00  2.384509019938032282e+02
+6.853707414829658617e+00  4.192964498372094617e+00  2.299641621003518992e+02
+6.873747494989979501e+00  4.220233045933865057e+00  2.215858665622992305e+02
+6.893787575150300384e+00  4.247294040335392928e+00  2.133193800308498282e+02
+6.913827655310621267e+00  4.274140842096944226e+00  2.051680222556753677e+02
+6.933867735470941263e+00  4.300766904207941721e+00  1.971350667517327224e+02
+6.953907815631262146e+00  4.327165774756191574e+00  1.892237394846470409e+02
+6.973947895791583029e+00  4.353331099518909397e+00  1.814372175751938983e+02
+6.993987975951903913e+00  4.379256624514525242e+00  1.737786280233937930e+02
+7.014028056112223908e+00  4.404936198514227463e+00  1.662510464527364036e+02
+7.034068136272544791e+00  4.430363775512244473e+00  1.588574958750354824e+02
+7.054108216432865675e+00  4.455533417153866971e+00  1.516009454764152053e+02
+7.074148296593185670e+00  4.480439295120240750e+00  1.444843094249101227e+02
+7.094188376753506553e+00  4.505075693468969966e+00  1.375104457001587832e+02
+7.114228456913827436e+00  4.529437010929587615e+00  1.306821549456662126e+02
+7.134268537074148320e+00  4.553517763152981068e+00  1.240021793440882476e+02
+7.154308617234468315e+00  4.577312584913854288e+00  1.174732015159950436e+02
+7.174348697394789198e+00  4.600816232265364292e+00  1.110978434425529429e+02
+7.194388777555110082e+00  4.624023584645035712e+00  1.048786654125609346e+02
+7.214428857715430965e+00  4.646929646931139857e+00  9.881816499425976019e+01
+7.234468937875750960e+00  4.669529551448691862e+00  9.291877603233054117e+01
+7.254509018036071843e+00  4.691818559924266552e+00  8.718286767048279273e+01
+7.274549098196392727e+00  4.713792065388847874e+00  8.161274340002822214e+01
+7.294589178356712722e+00  4.735445594027945404e+00  7.621064013481766608e+01
+7.314629258517033605e+00  4.756774806978249615e+00  7.097872731291521120e+01
+7.334669338677354489e+00  4.777775502070065627e+00  6.591910602537187458e+01
+7.354709418837675372e+00  4.798443615514884186e+00  6.103380817244479317e+01
+7.374749498997995367e+00  4.818775223537352659e+00  5.632479564760383539e+01
+7.394789579158316251e+00  4.838766543951037669e+00  5.179395954965144000e+01
+7.414829659318637134e+00  4.858413937677311445e+00  4.744311942327492204e+01
+7.434869739478958017e+00  4.877713910206781023e+00  4.327402252833200436e+01
+7.454909819639278012e+00  4.896663113002647449e+00  3.928834313816695811e+01
+7.474949899799598896e+00  4.915258344845452321e+00  3.548768186723586382e+01
+7.494989979959919779e+00  4.933496553118660088e+00  3.187356502831510241e+01
+7.515030060120239774e+00  4.951374835034558330e+00  2.844744401954644530e+01
+7.535070140280560658e+00  4.968890438800001697e+00  2.521069474156775314e+01
+7.555110220440881541e+00  4.986040764721496821e+00  2.216461704496407137e+01
+7.575150300601202424e+00  5.002823366249223191e+00  1.931043420825829671e+01
+7.595190380761522420e+00  5.019235950959545889e+00  1.664929244665321662e+01
+7.615230460921843303e+00  5.035276381475634722e+00  1.418226045172094807e+01
+7.635270541082164186e+00  5.050942676325811398e+00  1.191032896222642634e+01
+7.655310621242485070e+00  5.066233010739295217e+00  9.834410366254722646e+00
+7.675350701402805065e+00  5.081145717379013327e+00  7.955338334803988332e+00
+7.695390781563125948e+00  5.095679287011193104e+00  6.273867486990178044e+00
+7.715430861723446831e+00  5.109832369111450667e+00  4.790673086998884500e+00
+7.735470941883766827e+00  5.123603772407154366e+00  3.506350772904916813e+00
+7.755511022044087710e+00  5.136992465355831428e+00  2.421416317469038848e+00
+7.775551102204408593e+00  5.149997576559419699e+00  1.536305421008269612e+00
+7.795591182364729477e+00  5.162618395114220604e+00  8.513735364222744240e-01
+7.815631262525049472e+00  5.174854370896386335e+00  3.668957264467385126e-01
+7.835671342685370355e+00  5.186705114782850679e+00  8.306655319023606432e-02
+7.855711422845691239e+00  5.198170398807591575e+00  0.000000000000000000e+00
+7.875751503006012122e+00  5.209250156253183661e+00  1.177294256871248418e-01
+7.895791583166332117e+00  5.219944481677590176e+00  4.362075511299656205e-01
+7.915831663326653000e+00  5.230253630876193327e+00  9.553064782610614092e-01
+7.935871743486973884e+00  5.240178020779059587e+00  1.674817741429812656e+00
+7.955911823647293879e+00  5.249718229283516280e+00  2.594452391120483092e+00
+7.975951903807614762e+00  5.258874995022061682e+00  3.713841109991943057e+00
+7.995991983967935646e+00  5.267649217065747180e+00  5.032534361192301020e+00
+8.016032064128255641e+00  5.276041954563106096e+00  6.550002568888864118e+00
+8.036072144288576524e+00  5.284054426314822805e+00  8.265636330941418919e+00
+8.056112224448897408e+00  5.291688010284259391e+00  1.017874666363291603e+01
+8.076152304609218291e+00  5.298944243044088509e+00  1.228856527835901602e+01
+8.096192384769539174e+00  5.305824819159209227e+00  1.459424489016658200e+01
+8.116232464929860058e+00  5.312331590506231827e+00  1.709485955801583756e+01
+8.136272545090179165e+00  5.318466565529778478e+00  1.978940505663001659e+01
+8.156312625250500048e+00  5.324231908435906213e+00  2.267679927978462828e+01
+8.176352705410820931e+00  5.329629938322985261e+00  2.575588267487045968e+01
+8.196392785571141815e+00  5.334663128250363151e+00  2.902541870856099848e+01
+8.216432865731462698e+00  5.339334104245210710e+00  3.248409436339298395e+01
+8.236472945891783581e+00  5.343645644247928317e+00  3.613052066506330817e+01
+8.256513026052104465e+00  5.347600676996553837e+00  3.996323324022881707e+01
+8.276553106212425348e+00  5.351202280850603010e+00  4.398069290458620628e+01
+8.296593186372744455e+00  5.354453682554823679e+00  4.818128628099457700e+01
+8.316633266533065338e+00  5.357358255943372782e+00  5.256332644739540427e+01
+8.336673346693386222e+00  5.359919520584902841e+00  5.712505361426364914e+01
+8.356713426853707105e+00  5.362141140369139691e+00  6.186463583132555044e+01
+8.376753507014027988e+00  5.364026922035497691e+00  6.678016972325357870e+01
+8.396793587174348872e+00  5.365580813644318603e+00  7.186968125404561647e+01
+8.416833667334669755e+00  5.366806902991370976e+00  7.713112651978079271e+01
+8.436873747494988862e+00  5.367709415966225528e+00  8.256239256943308646e+01
+8.456913827655309746e+00  5.368292714855172676e+00  8.816129825341631943e+01
+8.476953907815630629e+00  5.368561296589365206e+00  9.392559509951207986e+01
+8.496993987975951512e+00  5.368519790938893976e+00  9.985296821583851568e+01
+8.517034068136272396e+00  5.368172958653508076e+00  1.059410372204906849e+02
+8.537074148296593279e+00  5.367525689550741497e+00  1.121873571974812194e+02
+8.557114228456914162e+00  5.366583000552199501e+00  1.185894196785977641e+02
+8.577154308617233269e+00  5.365350033668812024e+00  1.251446536507811516e+02
+8.597194388777554153e+00  5.363832053935846389e+00  1.318504265886247424e+02
+8.617234468937875036e+00  5.362034447298508866e+00  1.387040455115703708e+02
+8.637274549098195919e+00  5.359962718449001073e+00  1.457027580653883660e+02
+8.657314629258516803e+00  5.357622488615882084e+00  1.528437536274986712e+02
+8.677354709418837686e+00  5.355019493306628853e+00  1.601241644356925917e+02
+8.697394789579158569e+00  5.352159580004308026e+00  1.675410667398015221e+02
+8.717434869739479453e+00  5.349048705819276606e+00  1.750914819758495753e+02
+8.737474949899798560e+00  5.345692935096859166e+00  1.827723779622187124e+02
+8.757515030060119443e+00  5.342098436981957299e+00  1.905806701173493138e+02
+8.777555110220440326e+00  5.338271482941573609e+00  1.985132226984773354e+02
+8.797595190380761210e+00  5.334218444246249469e+00  2.065668500609244802e+02
+8.817635270541082093e+00  5.329945789411409507e+00  2.147383179374249096e+02
+8.837675350701402976e+00  5.325460081599669770e+00  2.230243447369789749e+02
+8.857715430861723860e+00  5.320767975985125631e+00  2.314216028627118078e+02
+8.877755511022042967e+00  5.315876217080687027e+00  2.399267200482068745e+02
+8.897795591182363850e+00  5.310791636029545515e+00  2.485362807117820694e+02
+8.917835671342684734e+00  5.305521147861844256e+00  2.572468273281535289e+02
+8.937875751503005617e+00  5.300071748717661180e+00  2.660548618169502788e+02
+8.957915831663326500e+00  5.294450513037422645e+00  2.749568469475133838e+02
+8.977955911823647384e+00  5.288664590720861369e+00  2.839492077594163675e+02
+8.997995991983968267e+00  5.282721204255688363e+00  2.930283329981389784e+02
+9.018036072144287374e+00  5.276627645817097978e+00  3.021905765653149274e+02
+9.038076152304608257e+00  5.270391274339290000e+00  3.114322589829767480e+02
+9.058116232464929141e+00  5.264019512560196290e+00  3.207496688711975139e+02
+9.078156312625250024e+00  5.257519844040566603e+00  3.301390644385522819e+02
+9.098196392785570907e+00  5.250899810158627723e+00  3.395966749847884216e+02
+9.118236472945891791e+00  5.244167007081546927e+00  3.491187024151063270e+02
+9.138276553106212674e+00  5.237329082714865081e+00  3.587013227654414891e+02
+9.158316633266533557e+00  5.230393733631166775e+00  3.683406877381355002e+02
+9.178356713426852664e+00  5.223368701979203443e+00  3.780329262473783842e+02
+9.198396793587173548e+00  5.216261772374713779e+00  3.877741459738065259e+02
+9.218436873747494431e+00  5.209080768774191128e+00  3.975604349276194398e+02
+9.238476953907815314e+00  5.201833551332843975e+00  4.073878630196048221e+02
+9.258517034068136198e+00  5.194528013248028486e+00  4.172524836394272256e+02
+9.278557114228457081e+00  5.187172077589415231e+00  4.271503352405529768e+02
+9.298597194388777964e+00  5.179773694117139726e+00  4.370774429311730955e+02
+9.318637274549097071e+00  5.172340836089261096e+00  4.470298200704844476e+02
+9.338677354709417955e+00  5.164881497059755411e+00  4.570034698696940154e+02
+9.358717434869738838e+00  5.157403687668390191e+00  4.669943869970894639e+02
+9.378757515030059722e+00  5.149915432423705752e+00  4.769985591865493006e+02
+9.398797595190380605e+00  5.142424766480450771e+00  4.870119688488334759e+02
+9.418837675350701488e+00  5.134939732412731495e+00  4.970305946850124315e+02
+9.438877755511022372e+00  5.127468376984182008e+00  5.070504133013864703e+02
+9.458917835671341479e+00  5.120018747916452284e+00  5.170674008252445901e+02
+9.478957915831662362e+00  5.112598890657316097e+00  5.270775345208204499e+02
+9.498997995991983245e+00  5.105216845149687543e+00  5.370767944047840956e+02
+9.519038076152304129e+00  5.097880642602845569e+00  5.470611648606347899e+02
+9.539078156312625012e+00  5.090598302267177466e+00  5.570266362513380045e+02
+9.559118236472945895e+00  5.083377828213707872e+00  5.669692065295602106e+02
+9.579158316633266779e+00  5.076227206119739321e+00  5.768848828448577706e+02
+9.599198396793587662e+00  5.069154400061871790e+00  5.867696831471699852e+02
+9.619238476953906769e+00  5.062167349317696186e+00  5.966196377859761242e+02
+9.639278557114227652e+00  5.055273965177453199e+00  6.064307911044755883e+02
+9.659318637274548536e+00  5.048482127766917849e+00  6.161992030281406869e+02
+9.679358717434869419e+00  5.041799682882824207e+00  6.259209506470201632e+02
+9.699398797595190302e+00  5.035234438842048021e+00  6.355921297911449983e+02
+9.719438877755511186e+00  5.028794163345857271e+00  6.452088565984089428e+02
+9.739478957915832069e+00  5.022486580360477681e+00  6.547672690742948589e+02
+9.759519038076151176e+00  5.016319367015202424e+00  6.642635286428171639e+02
+9.779559118236472059e+00  5.010300150519331197e+00  6.736938216880639629e+02
+9.799599198396792943e+00  5.004436505099149279e+00  6.830543610857074555e+02
+9.819639278557113826e+00  4.998735948956176678e+00  6.923413877238837131e+02
+9.839679358717434710e+00  4.993205941247933488e+00  7.015511720128191655e+02
+9.859719438877755593e+00  4.987853879092396525e+00  7.106800153826006863e+02
+9.879759519038076476e+00  4.982687094597387123e+00  7.197242517684906034e+02
+9.899799599198395583e+00  4.977712851916056280e+00  7.286802490831846626e+02
+9.919839679358716467e+00  4.972938344329665306e+00  7.375444106754310951e+02
+9.939879759519037350e+00  4.968370691358828140e+00  7.463131767744092713e+02
+9.959919839679358233e+00  4.964016935904367323e+00  7.549830259193067832e+02
+9.979959919839679117e+00  4.959884041418952449e+00  7.635504763735062852e+02
+1.000000000000000000e+01  4.955978889110630448e+00  7.720120875228209343e+02
diff --git a/buch/papers/kugel/figures/tikz/curvature-1d.pdf b/buch/papers/kugel/figures/tikz/curvature-1d.pdf
new file mode 100644
index 0000000..6425af6
--- /dev/null
+++ b/buch/papers/kugel/figures/tikz/curvature-1d.pdf
diff --git a/buch/papers/kugel/figures/tikz/curvature-1d.py b/buch/papers/kugel/figures/tikz/curvature-1d.py
new file mode 100644
index 0000000..4710fc8
--- /dev/null
+++ b/buch/papers/kugel/figures/tikz/curvature-1d.py
@@ -0,0 +1,32 @@
+import numpy as np
+import matplotlib.pyplot as plt
+
+
+@np.vectorize
+def fn(x):
+    return (x ** 2) * 2 / 100 + (1 + x / 4) + np.sin(x)
+
+@np.vectorize
+def ddfn(x):
+    return 2 * 5 / 100 - np.sin(x)
+
+x = np.linspace(0, 10, 500)
+y = fn(x)
+ddy = ddfn(x)
+
+cmap = ddy - np.min(ddy)
+cmap = cmap * 1000 / np.max(cmap)
+
+plt.plot(x, y)
+plt.plot(x, ddy)
+# plt.plot(x, cmap)
+
+plt.show()
+
+fname = "curvature-1d.dat"
+np.savetxt(fname, np.array([x, y, cmap]).T, delimiter="  ")
+
+# with open(fname, "w") as f:
+#     # f.write("x   y   cmap\n")
+#     for xv, yv, cv in zip(x, y, cmap):
+#         f.write(f"{xv}   {yv}   {cv}\n")
diff --git a/buch/papers/kugel/figures/tikz/curvature-1d.tex b/buch/papers/kugel/figures/tikz/curvature-1d.tex
new file mode 100644
index 0000000..6983fb0
--- /dev/null
+++ b/buch/papers/kugel/figures/tikz/curvature-1d.tex
@@ -0,0 +1,21 @@
+% vim:ts=2 sw=2 et:
+\documentclass[tikz, border=5mm]{standalone}
+\usepackage{pgfplots}
+
+\begin{document}
+\begin{tikzpicture}
+  \begin{axis}[
+      clip = false,
+      width = 8cm, height = 6cm,
+      xtick = \empty, ytick = \empty,
+      colormap name = viridis,
+      axis lines = middle,
+      axis line style = {ultra thick, -latex}
+    ]
+    \addplot+[
+      smooth, mark=none, line width = 3pt, mesh,
+      point meta=explicit,
+    ] file {curvature-1d.dat};
+  \end{axis}
+\end{tikzpicture}
+\end{document}
diff --git a/buch/papers/kugel/figures/tikz/spherical-coordinates.pdf b/buch/papers/kugel/figures/tikz/spherical-coordinates.pdf
new file mode 100644
index 0000000..1bff016
--- /dev/null
+++ b/buch/papers/kugel/figures/tikz/spherical-coordinates.pdf
diff --git a/buch/papers/kugel/figures/tikz/spherical-coordinates.tex b/buch/papers/kugel/figures/tikz/spherical-coordinates.tex
new file mode 100644
index 0000000..3a45385
--- /dev/null
+++ b/buch/papers/kugel/figures/tikz/spherical-coordinates.tex
@@ -0,0 +1,99 @@
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{bm}
+\usepackage{lmodern}
+\usepackage{tikz-3dplot}
+
+\usetikzlibrary{arrows}
+\usetikzlibrary{intersections}
+\usetikzlibrary{math}
+\usetikzlibrary{positioning}
+\usetikzlibrary{arrows.meta}
+\usetikzlibrary{shapes.misc}
+\usetikzlibrary{calc}
+
+\begin{document}
+
+\tdplotsetmaincoords{60}{130}
+\pgfmathsetmacro{\l}{2}
+
+\begin{tikzpicture}[
+    >=latex,
+    tdplot_main_coords,
+    dot/.style = {
+      black, fill = black, circle,
+      outer sep = 0, inner sep = 0,
+      minimum size = .8mm 
+    },
+    round/.style = {
+      draw = orange, thick, circle,
+      minimum size = 1mm,
+      inner sep = 0pt, outer sep = 0pt,
+    },
+    cross/.style = {
+      cross out, draw = magenta, thick,
+      minimum size = 1mm, 
+      inner sep = 0pt, outer sep = 0pt
+    },
+  ]
+
+  % origin
+  \coordinate (O) at (0,0,0);
+
+  % poles
+  \coordinate (NP) at (0,0,\l);
+  \coordinate (SP) at (0,0,-\l);
+  
+  % \draw (SP) node[dot, gray] {};
+  % \draw (NP) node[dot, gray] {};
+
+  % gray unit circle
+  \tdplotdrawarc[gray]{(O)}{\l}{0}{360}{}{};
+  \draw[gray, dashed] (-\l, 0, 0) to (\l, 0, 0);
+  \draw[gray, dashed] (0, -\l, 0) to (0, \l, 0);
+
+  % axis
+  \draw[->] (O) -- ++(1.25*\l,0,0) node[left] {\(\mathbf{\hat{x}}\)};
+  \draw[->] (O) -- ++(0,1.25*\l,0) node[right] {\(\mathbf{\hat{y}}\)};
+  \draw[->] (O) -- ++(0,0,1.25*\l) node[above] {\(\mathbf{\hat{z}}\)};
+
+  % meridians
+  \foreach \phi in {0, 30, 60, ..., 150}{
+    \tdplotsetrotatedcoords{\phi}{90}{0};
+    \tdplotdrawarc[lightgray, densely dotted, tdplot_rotated_coords]{(O)}{\l}{0}{360}{}{};
+  }
+
+  % dot above and its projection
+  \pgfmathsetmacro{\phi}{120}
+  \pgfmathsetmacro{\theta}{40}
+
+  \pgfmathsetmacro{\px}{cos(\phi)*sin(\theta)*\l}
+  \pgfmathsetmacro{\py}{sin(\phi)*sin(\theta)*\l}
+  \pgfmathsetmacro{\pz}{cos(\theta)*\l})
+  
+  % point A
+  \coordinate (A) at (\px,\py,\pz);
+  \coordinate (Ap) at (\px,\py, 0);
+  
+  % lines
+  \draw[red!80!black, ->] (O) -- (A);
+	\draw[red!80!black, densely dashed] (O) -- (Ap) -- (A)
+		node[above right] {\(\mathbf{\hat{r}}\)};
+  
+  % arcs
+  \tdplotdrawarc[blue!80!black, ->]{(O)}{.8\l}{0}{\phi}{}{};
+  \node[below right, blue!80!black] at (.8\l,0,0) {\(\bm{\hat{\varphi}}\)};
+  
+  \tdplotsetrotatedcoords{\phi-90}{-90}{0};
+  \tdplotdrawarc[blue!80!black, ->, tdplot_rotated_coords]{(O)}{.95\l}{0}{\theta}{}{};
+  \node[above right = 1mm, blue!80!black] at (0,0,.8\l) {\(\bm{\hat{\vartheta}}\)};
+
+
+  % dots
+  \draw (O) node[dot] {};
+  \draw (A) node[dot, fill = red!80!black] {};
+
+\end{tikzpicture}
+\end{document}
+% vim:ts=2 sw=2 et: