mirror of
https://github.com/kuhyx/WUT_Computer_Science.git
synced 2026-07-04 17:03:12 +02:00
feat: Adding Results to the raport
This commit is contained in:
parent
245acae5b6
commit
f9c270a61c
BIN
ENUME/projectC/10-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/10-eps-converted-to.pdf
Normal file
Binary file not shown.
1435
ENUME/projectC/10.eps
Normal file
1435
ENUME/projectC/10.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/11-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/11-eps-converted-to.pdf
Normal file
Binary file not shown.
1435
ENUME/projectC/11.eps
Normal file
1435
ENUME/projectC/11.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/110-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/110-eps-converted-to.pdf
Normal file
Binary file not shown.
1307
ENUME/projectC/110.eps
Normal file
1307
ENUME/projectC/110.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/12-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/12-eps-converted-to.pdf
Normal file
Binary file not shown.
1435
ENUME/projectC/12.eps
Normal file
1435
ENUME/projectC/12.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/13-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/13-eps-converted-to.pdf
Normal file
Binary file not shown.
1467
ENUME/projectC/13.eps
Normal file
1467
ENUME/projectC/13.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/14-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/14-eps-converted-to.pdf
Normal file
Binary file not shown.
1435
ENUME/projectC/14.eps
Normal file
1435
ENUME/projectC/14.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/15-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/15-eps-converted-to.pdf
Normal file
Binary file not shown.
1435
ENUME/projectC/15.eps
Normal file
1435
ENUME/projectC/15.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/16-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/16-eps-converted-to.pdf
Normal file
Binary file not shown.
1435
ENUME/projectC/16.eps
Normal file
1435
ENUME/projectC/16.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/17-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/17-eps-converted-to.pdf
Normal file
Binary file not shown.
1435
ENUME/projectC/17.eps
Normal file
1435
ENUME/projectC/17.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/18-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/18-eps-converted-to.pdf
Normal file
Binary file not shown.
1467
ENUME/projectC/18.eps
Normal file
1467
ENUME/projectC/18.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/19-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/19-eps-converted-to.pdf
Normal file
Binary file not shown.
1467
ENUME/projectC/19.eps
Normal file
1467
ENUME/projectC/19.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/20-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/20-eps-converted-to.pdf
Normal file
Binary file not shown.
3996
ENUME/projectC/20.eps
Normal file
3996
ENUME/projectC/20.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/21-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/21-eps-converted-to.pdf
Normal file
Binary file not shown.
4028
ENUME/projectC/21.eps
Normal file
4028
ENUME/projectC/21.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/22-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/22-eps-converted-to.pdf
Normal file
Binary file not shown.
4080
ENUME/projectC/22.eps
Normal file
4080
ENUME/projectC/22.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/23-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/23-eps-converted-to.pdf
Normal file
Binary file not shown.
9786
ENUME/projectC/23.eps
Normal file
9786
ENUME/projectC/23.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/24-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/24-eps-converted-to.pdf
Normal file
Binary file not shown.
9818
ENUME/projectC/24.eps
Normal file
9818
ENUME/projectC/24.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/25-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/25-eps-converted-to.pdf
Normal file
Binary file not shown.
9870
ENUME/projectC/25.eps
Normal file
9870
ENUME/projectC/25.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/26-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/26-eps-converted-to.pdf
Normal file
Binary file not shown.
18527
ENUME/projectC/26.eps
Normal file
18527
ENUME/projectC/26.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/27-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/27-eps-converted-to.pdf
Normal file
Binary file not shown.
12994
ENUME/projectC/27.eps
Normal file
12994
ENUME/projectC/27.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/28-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/28-eps-converted-to.pdf
Normal file
Binary file not shown.
12871
ENUME/projectC/28.eps
Normal file
12871
ENUME/projectC/28.eps
Normal file
File diff suppressed because it is too large
Load Diff
BIN
ENUME/projectC/29-eps-converted-to.pdf
Normal file
BIN
ENUME/projectC/29-eps-converted-to.pdf
Normal file
Binary file not shown.
3024
ENUME/projectC/29.eps
Normal file
3024
ENUME/projectC/29.eps
Normal file
File diff suppressed because it is too large
Load Diff
@ -24,18 +24,20 @@
|
||||
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.1}Linear Least Squares Problem}{3}{subsection.1.2.1}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.2}Gram matrix and QR decomposition}{3}{subsection.1.2.2}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.3}Gram-Schmidt algorithm}{4}{subsection.1.2.3}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {chapter}{\numberline {2}Determine trajectory of the motion}{6}{chapter.2}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {section}{\numberline {1.3}Results}{5}{section.1.3}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {chapter}{\numberline {2}Determine trajectory of the motion}{12}{chapter.2}\protected@file@percent }
|
||||
\@writefile{lof}{\addvspace {10\p@ }}
|
||||
\@writefile{lot}{\addvspace {10\p@ }}
|
||||
\@writefile{toc}{\contentsline {section}{\numberline {2.1}a) Runge-Kutta method of $4^{th}$ order and Adams PC}{6}{section.2.1}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsection}{\numberline {2.1.1}Problem}{6}{subsection.2.1.1}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsection}{\numberline {2.1.2}Theoretical Introdution}{6}{subsection.2.1.2}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsubsection}{Runge-Kutta method of order 4}{7}{section*.2}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsection}{\numberline {2.1.3}Adams PC method}{7}{subsection.2.1.3}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {section}{\numberline {2.2}b) Runge-Kutta method of $4^{th}$ order with variable step size automatically adjusted}{8}{section.2.2}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.1}Problem}{8}{subsection.2.2.1}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.2}Theoretical Introdution}{8}{subsection.2.2.2}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsubsection}{Error estimation using step doubling-approach}{8}{section*.3}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsubsection}{Actual correction of the step size}{10}{section*.4}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {section}{\numberline {2.1}a) Runge-Kutta method of $4^{th}$ order and Adams PC}{12}{section.2.1}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsection}{\numberline {2.1.1}Problem}{12}{subsection.2.1.1}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsection}{\numberline {2.1.2}Theoretical Introdution}{12}{subsection.2.1.2}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsubsection}{Runge-Kutta method of order 4}{13}{section*.2}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsection}{\numberline {2.1.3}Adams PC method}{13}{subsection.2.1.3}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {section}{\numberline {2.2}b) Runge-Kutta method of $4^{th}$ order with variable step size automatically adjusted}{14}{section.2.2}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.1}Problem}{14}{subsection.2.2.1}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.2}Theoretical Introdution}{14}{subsection.2.2.2}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsubsection}{Error estimation using step doubling-approach}{14}{section*.3}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {subsubsection}{Actual correction of the step size}{16}{section*.4}\protected@file@percent }
|
||||
\@writefile{toc}{\contentsline {section}{\numberline {2.3}Results}{17}{section.2.3}\protected@file@percent }
|
||||
\bibcite{texbook}{1}
|
||||
\gdef \@abspage@last{13}
|
||||
\gdef \@abspage@last{23}
|
||||
|
||||
@ -1,5 +1,5 @@
|
||||
# Fdb version 3
|
||||
["pdflatex"] 1641343564 "ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.tex" "ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.pdf" "ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME" 1641343565
|
||||
["pdflatex"] 1641618528 "ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.tex" "ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.pdf" "ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME" 1641618530
|
||||
"/etc/texmf/web2c/texmf.cnf" 1624878795 475 c0e671620eb5563b2130f56340a5fde8 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/jknappen/ec/ecbx1200.tfm" 1136768653 3584 402da0b29eafbad07963b1224b222f18 ""
|
||||
@ -43,6 +43,7 @@
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmtt12.tfm" 1136768653 772 9a936b7f5e2ff0557fce0f62822f0bbf ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmtt8.tfm" 1136768653 768 d7b9a2629a0c353102ad947dc9221d49 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb" 1248133631 32080 340ef9bf63678554ee606688e7b5339d ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx8.pfb" 1248133631 32166 b0c356b15f19587482a9217ce1d8fa67 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb" 1248133631 30251 6afa5cb1d0204815a708a080681d4674 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi12.pfb" 1248133631 36741 fa121aac0049305630cf160b86157ee4 ""
|
||||
"/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi6.pfb" 1248133631 37166 8ab3487cbe3ab49ebce74c29ea2418db ""
|
||||
@ -151,13 +152,34 @@
|
||||
"/usr/share/texmf/web2c/texmf.cnf" 1613593815 38841 799d1dd9682a55ce442e10c99777ecc1 ""
|
||||
"/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1624878842 5160710 ecf427ae8fa19139d8691f526e47bb9b ""
|
||||
"/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1624878876 2570852 ef2a47e64eb64912b01ccaedc81044b8 ""
|
||||
"ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.aux" 1641343565 3137 e1a9f64d6b4f309c2cfc8a653381e1b0 "pdflatex"
|
||||
"ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.out" 1641343565 1090 eb8f27c1fc516a185703a5fa58130694 "pdflatex"
|
||||
"ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.tex" 1641343564 11711 e9f6bfd65c19b6444d6ee3c680488a9e ""
|
||||
"ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.toc" 1641343565 1580 4ae1a23b3059e50d1811bf0e771d41fe "pdflatex"
|
||||
"10.eps" 1641616796 21576 a7b62cd68b60ce2be74a171fa47d968a ""
|
||||
"11.eps" 1641616808 21556 9fdd889b446d9f1b3689499040fee4e0 ""
|
||||
"110.eps" 1641616908 20303 8674b607ab1c7bdf11031e28487ccd1f ""
|
||||
"12.eps" 1641616817 21545 afa30da97aa612348a3c85ce42827bb1 ""
|
||||
"13.eps" 1641616827 21845 f50ffc63f9ac64e6f49f15cfae1690ef ""
|
||||
"14.eps" 1641616835 21538 741e478a766a5530477598448fb0400a ""
|
||||
"15.eps" 1641616850 21551 6ed1183410d902cb38f6c257cbba2690 ""
|
||||
"16.eps" 1641616861 21546 2d967f6843be95a08f25434a4809006d ""
|
||||
"17.eps" 1641616871 21540 923628de65fd188c0ece3cb1d29e8936 ""
|
||||
"18.eps" 1641616885 21834 46dd484d3c827d4a8941ffbf6fcd712e ""
|
||||
"19.eps" 1641616895 21840 2edac5b2d9746bee313fbd51d0d0d118 ""
|
||||
"20.eps" 1641618365 69458 f09abd21bf6788057e1fd465037a9ce6 ""
|
||||
"21.eps" 1641618375 69709 88779893b6d61b3f2661e4248301f89e ""
|
||||
"22.eps" 1641618411 68828 804a00bd26a3098e340b1c2dca6745aa ""
|
||||
"23.eps" 1641618422 175362 181af76a884a1a5ea00c7e5a225b4ca7 ""
|
||||
"24.eps" 1641618431 175671 63db2ea873255bf81ff8dcf92d8f6224 ""
|
||||
"25.eps" 1641618441 171807 65bc7cb686a8e6de2e383b69c8f1f038 ""
|
||||
"26.eps" 1641618450 328265 11d5d1d7b9b94f1321d1925f25320010 ""
|
||||
"27.eps" 1641618459 233952 364a669775f8710500873159ef7773ac ""
|
||||
"28.eps" 1641618469 232710 7e2f17fa445f1427804a976b79eb9722 ""
|
||||
"29.eps" 1641618479 48458 bdfe70272c1b0d4cf9fed298404e3250 ""
|
||||
"ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.aux" 1641618529 3364 6985c589346825eaa323a8ab3e23c6b8 "pdflatex"
|
||||
"ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.out" 1641618529 1198 9d01ac3cecd6cc1a77f1b4119304f8dd "pdflatex"
|
||||
"ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.tex" 1641618521 13748 22a3282aef3c40aa7aaf9edbbff129d5 ""
|
||||
"ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.toc" 1641618529 1725 5290116d1fc4ec404a542bd5a825f98b "pdflatex"
|
||||
(generated)
|
||||
"ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.aux"
|
||||
"ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.pdf"
|
||||
"ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.out"
|
||||
"ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.toc"
|
||||
"ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.log"
|
||||
"ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.aux"
|
||||
|
||||
@ -882,6 +882,127 @@ INPUT /usr/share/texlive/texmf-dist/tex/latex/base/t1cmss.fd
|
||||
INPUT /usr/share/texlive/texmf-dist/tex/latex/base/t1cmss.fd
|
||||
INPUT /usr/share/texlive/texmf-dist/tex/latex/base/t1cmss.fd
|
||||
INPUT /usr/share/texlive/texmf-dist/fonts/tfm/jknappen/ec/ecss0600.tfm
|
||||
INPUT ./10.eps
|
||||
INPUT ./10.eps
|
||||
INPUT 10.eps
|
||||
INPUT ./10.eps
|
||||
INPUT ./10.eps
|
||||
INPUT ./10-eps-converted-to.pdf
|
||||
INPUT ./10-eps-converted-to.pdf
|
||||
INPUT ./10.eps
|
||||
INPUT ./10-eps-converted-to.pdf
|
||||
INPUT ./10-eps-converted-to.pdf
|
||||
INPUT ./10-eps-converted-to.pdf
|
||||
INPUT ./11.eps
|
||||
INPUT ./11.eps
|
||||
INPUT 11.eps
|
||||
INPUT ./11.eps
|
||||
INPUT ./11.eps
|
||||
INPUT ./11-eps-converted-to.pdf
|
||||
INPUT ./11-eps-converted-to.pdf
|
||||
INPUT ./11.eps
|
||||
INPUT ./11-eps-converted-to.pdf
|
||||
INPUT ./11-eps-converted-to.pdf
|
||||
INPUT ./11-eps-converted-to.pdf
|
||||
INPUT ./12.eps
|
||||
INPUT ./12.eps
|
||||
INPUT 12.eps
|
||||
INPUT ./12.eps
|
||||
INPUT ./12.eps
|
||||
INPUT ./12-eps-converted-to.pdf
|
||||
INPUT ./12-eps-converted-to.pdf
|
||||
INPUT ./12.eps
|
||||
INPUT ./12-eps-converted-to.pdf
|
||||
INPUT ./12-eps-converted-to.pdf
|
||||
INPUT ./12-eps-converted-to.pdf
|
||||
INPUT ./13.eps
|
||||
INPUT ./13.eps
|
||||
INPUT 13.eps
|
||||
INPUT ./13.eps
|
||||
INPUT ./13.eps
|
||||
INPUT ./13-eps-converted-to.pdf
|
||||
INPUT ./13-eps-converted-to.pdf
|
||||
INPUT ./13.eps
|
||||
INPUT ./13-eps-converted-to.pdf
|
||||
INPUT ./13-eps-converted-to.pdf
|
||||
INPUT ./13-eps-converted-to.pdf
|
||||
INPUT ./14.eps
|
||||
INPUT ./14.eps
|
||||
INPUT 14.eps
|
||||
INPUT ./14.eps
|
||||
INPUT ./14.eps
|
||||
INPUT ./14-eps-converted-to.pdf
|
||||
INPUT ./14-eps-converted-to.pdf
|
||||
INPUT ./14.eps
|
||||
INPUT ./14-eps-converted-to.pdf
|
||||
INPUT ./14-eps-converted-to.pdf
|
||||
INPUT ./14-eps-converted-to.pdf
|
||||
INPUT ./15.eps
|
||||
INPUT ./15.eps
|
||||
INPUT 15.eps
|
||||
INPUT ./15.eps
|
||||
INPUT ./15.eps
|
||||
INPUT ./15-eps-converted-to.pdf
|
||||
INPUT ./15-eps-converted-to.pdf
|
||||
INPUT ./15.eps
|
||||
INPUT ./15-eps-converted-to.pdf
|
||||
INPUT ./15-eps-converted-to.pdf
|
||||
INPUT ./15-eps-converted-to.pdf
|
||||
INPUT ./16.eps
|
||||
INPUT ./16.eps
|
||||
INPUT 16.eps
|
||||
INPUT ./16.eps
|
||||
INPUT ./16.eps
|
||||
INPUT ./16-eps-converted-to.pdf
|
||||
INPUT ./16-eps-converted-to.pdf
|
||||
INPUT ./16.eps
|
||||
INPUT ./16-eps-converted-to.pdf
|
||||
INPUT ./16-eps-converted-to.pdf
|
||||
INPUT ./16-eps-converted-to.pdf
|
||||
INPUT ./17.eps
|
||||
INPUT ./17.eps
|
||||
INPUT 17.eps
|
||||
INPUT ./17.eps
|
||||
INPUT ./17.eps
|
||||
INPUT ./17-eps-converted-to.pdf
|
||||
INPUT ./17-eps-converted-to.pdf
|
||||
INPUT ./17.eps
|
||||
INPUT ./17-eps-converted-to.pdf
|
||||
INPUT ./17-eps-converted-to.pdf
|
||||
INPUT ./17-eps-converted-to.pdf
|
||||
INPUT ./18.eps
|
||||
INPUT ./18.eps
|
||||
INPUT 18.eps
|
||||
INPUT ./18.eps
|
||||
INPUT ./18.eps
|
||||
INPUT ./18-eps-converted-to.pdf
|
||||
INPUT ./18-eps-converted-to.pdf
|
||||
INPUT ./18.eps
|
||||
INPUT ./18-eps-converted-to.pdf
|
||||
INPUT ./18-eps-converted-to.pdf
|
||||
INPUT ./18-eps-converted-to.pdf
|
||||
INPUT ./19.eps
|
||||
INPUT ./19.eps
|
||||
INPUT 19.eps
|
||||
INPUT ./19.eps
|
||||
INPUT ./19.eps
|
||||
INPUT ./19-eps-converted-to.pdf
|
||||
INPUT ./19-eps-converted-to.pdf
|
||||
INPUT ./19.eps
|
||||
INPUT ./19-eps-converted-to.pdf
|
||||
INPUT ./19-eps-converted-to.pdf
|
||||
INPUT ./19-eps-converted-to.pdf
|
||||
INPUT ./110.eps
|
||||
INPUT ./110.eps
|
||||
INPUT 110.eps
|
||||
INPUT ./110.eps
|
||||
INPUT ./110.eps
|
||||
INPUT ./110-eps-converted-to.pdf
|
||||
INPUT ./110-eps-converted-to.pdf
|
||||
INPUT ./110.eps
|
||||
INPUT ./110-eps-converted-to.pdf
|
||||
INPUT ./110-eps-converted-to.pdf
|
||||
INPUT ./110-eps-converted-to.pdf
|
||||
INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr17.tfm
|
||||
INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi12.tfm
|
||||
INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmsy10.tfm
|
||||
@ -892,12 +1013,123 @@ INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmss17.tfm
|
||||
INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmtt12.tfm
|
||||
INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm
|
||||
INPUT /usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm
|
||||
INPUT ./20.eps
|
||||
INPUT ./20.eps
|
||||
INPUT 20.eps
|
||||
INPUT ./20.eps
|
||||
INPUT ./20.eps
|
||||
INPUT ./20-eps-converted-to.pdf
|
||||
INPUT ./20-eps-converted-to.pdf
|
||||
INPUT ./20.eps
|
||||
INPUT ./20-eps-converted-to.pdf
|
||||
INPUT ./20-eps-converted-to.pdf
|
||||
INPUT ./20-eps-converted-to.pdf
|
||||
INPUT ./21.eps
|
||||
INPUT ./21.eps
|
||||
INPUT 21.eps
|
||||
INPUT ./21.eps
|
||||
INPUT ./21.eps
|
||||
INPUT ./21-eps-converted-to.pdf
|
||||
INPUT ./21-eps-converted-to.pdf
|
||||
INPUT ./21.eps
|
||||
INPUT ./21-eps-converted-to.pdf
|
||||
INPUT ./21-eps-converted-to.pdf
|
||||
INPUT ./21-eps-converted-to.pdf
|
||||
INPUT ./22.eps
|
||||
INPUT ./22.eps
|
||||
INPUT 22.eps
|
||||
INPUT ./22.eps
|
||||
INPUT ./22.eps
|
||||
INPUT ./22-eps-converted-to.pdf
|
||||
INPUT ./22-eps-converted-to.pdf
|
||||
INPUT ./22.eps
|
||||
INPUT ./22-eps-converted-to.pdf
|
||||
INPUT ./22-eps-converted-to.pdf
|
||||
INPUT ./22-eps-converted-to.pdf
|
||||
INPUT ./23.eps
|
||||
INPUT ./23.eps
|
||||
INPUT 23.eps
|
||||
INPUT ./23.eps
|
||||
INPUT ./23.eps
|
||||
INPUT ./23-eps-converted-to.pdf
|
||||
INPUT ./23-eps-converted-to.pdf
|
||||
INPUT ./23.eps
|
||||
INPUT ./23-eps-converted-to.pdf
|
||||
INPUT ./23-eps-converted-to.pdf
|
||||
INPUT ./23-eps-converted-to.pdf
|
||||
INPUT ./24.eps
|
||||
INPUT ./24.eps
|
||||
INPUT 24.eps
|
||||
INPUT ./24.eps
|
||||
INPUT ./24.eps
|
||||
INPUT ./24-eps-converted-to.pdf
|
||||
INPUT ./24-eps-converted-to.pdf
|
||||
INPUT ./24.eps
|
||||
INPUT ./24-eps-converted-to.pdf
|
||||
INPUT ./24-eps-converted-to.pdf
|
||||
INPUT ./24-eps-converted-to.pdf
|
||||
INPUT ./25.eps
|
||||
INPUT ./25.eps
|
||||
INPUT 25.eps
|
||||
INPUT ./25.eps
|
||||
INPUT ./25.eps
|
||||
INPUT ./25-eps-converted-to.pdf
|
||||
INPUT ./25-eps-converted-to.pdf
|
||||
INPUT ./25.eps
|
||||
INPUT ./25-eps-converted-to.pdf
|
||||
INPUT ./25-eps-converted-to.pdf
|
||||
INPUT ./25-eps-converted-to.pdf
|
||||
INPUT ./26.eps
|
||||
INPUT ./26.eps
|
||||
INPUT 26.eps
|
||||
INPUT ./26.eps
|
||||
INPUT ./26.eps
|
||||
INPUT ./26-eps-converted-to.pdf
|
||||
INPUT ./26-eps-converted-to.pdf
|
||||
INPUT ./26.eps
|
||||
INPUT ./26-eps-converted-to.pdf
|
||||
INPUT ./26-eps-converted-to.pdf
|
||||
INPUT ./26-eps-converted-to.pdf
|
||||
INPUT ./27.eps
|
||||
INPUT ./27.eps
|
||||
INPUT 27.eps
|
||||
INPUT ./27.eps
|
||||
INPUT ./27.eps
|
||||
INPUT ./27-eps-converted-to.pdf
|
||||
INPUT ./27-eps-converted-to.pdf
|
||||
INPUT ./27.eps
|
||||
INPUT ./27-eps-converted-to.pdf
|
||||
INPUT ./27-eps-converted-to.pdf
|
||||
INPUT ./27-eps-converted-to.pdf
|
||||
INPUT ./28.eps
|
||||
INPUT ./28.eps
|
||||
INPUT 28.eps
|
||||
INPUT ./28.eps
|
||||
INPUT ./28.eps
|
||||
INPUT ./28-eps-converted-to.pdf
|
||||
INPUT ./28-eps-converted-to.pdf
|
||||
INPUT ./28.eps
|
||||
INPUT ./28-eps-converted-to.pdf
|
||||
INPUT ./28-eps-converted-to.pdf
|
||||
INPUT ./28-eps-converted-to.pdf
|
||||
INPUT ./29.eps
|
||||
INPUT ./29.eps
|
||||
INPUT 29.eps
|
||||
INPUT ./29.eps
|
||||
INPUT ./29.eps
|
||||
INPUT ./29-eps-converted-to.pdf
|
||||
INPUT ./29-eps-converted-to.pdf
|
||||
INPUT ./29.eps
|
||||
INPUT ./29-eps-converted-to.pdf
|
||||
INPUT ./29-eps-converted-to.pdf
|
||||
INPUT ./29-eps-converted-to.pdf
|
||||
INPUT /usr/share/texlive/texmf-dist/fonts/tfm/jknappen/ec/ecti1200.tfm
|
||||
INPUT ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.aux
|
||||
INPUT ./ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.out
|
||||
INPUT ./ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.out
|
||||
INPUT /usr/share/texmf/fonts/enc/dvips/cm-super/cm-super-t1.enc
|
||||
INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb
|
||||
INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx8.pfb
|
||||
INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb
|
||||
INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi12.pfb
|
||||
INPUT /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi6.pfb
|
||||
|
||||
@ -1,4 +1,4 @@
|
||||
This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=pdflatex 2021.6.28) 5 JAN 2022 01:46
|
||||
This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/Debian) (preloaded format=pdflatex 2021.6.28) 8 JAN 2022 06:08
|
||||
entering extended mode
|
||||
restricted \write18 enabled.
|
||||
file:line:error style messages enabled.
|
||||
@ -513,60 +513,365 @@ Chapter 1.
|
||||
LaTeX Font Info: Trying to load font information for T1+cmss on input line 102.
|
||||
(/usr/share/texlive/texmf-dist/tex/latex/base/t1cmss.fd
|
||||
File: t1cmss.fd 2019/12/16 v2.5j Standard LaTeX font definitions
|
||||
) [3] [4] [5]
|
||||
) [3] [4]
|
||||
Package epstopdf Info: Source file: <10.eps>
|
||||
(epstopdf) date: 2022-01-08 05:39:56
|
||||
(epstopdf) size: 21576 bytes
|
||||
(epstopdf) Output file: <10-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 05:45:00
|
||||
(epstopdf) size: 7675 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=10-eps-converted-to.pdf 10.eps>
|
||||
(epstopdf) \includegraphics on input line 159.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<10-eps-converted-to.pdf, id=123, 1442.38875pt x 742.775pt>
|
||||
File: 10-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 10-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 10-eps-converted-to.pdf used on input line 159.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
Package epstopdf Info: Source file: <11.eps>
|
||||
(epstopdf) date: 2022-01-08 05:40:08
|
||||
(epstopdf) size: 21556 bytes
|
||||
(epstopdf) Output file: <11-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 05:45:01
|
||||
(epstopdf) size: 9277 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=11-eps-converted-to.pdf 11.eps>
|
||||
(epstopdf) \includegraphics on input line 163.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<11-eps-converted-to.pdf, id=124, 1442.38875pt x 742.775pt>
|
||||
File: 11-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 11-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 11-eps-converted-to.pdf used on input line 163.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
[5 <./10-eps-converted-to.pdf>]
|
||||
Package epstopdf Info: Source file: <12.eps>
|
||||
(epstopdf) date: 2022-01-08 05:40:17
|
||||
(epstopdf) size: 21545 bytes
|
||||
(epstopdf) Output file: <12-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 05:45:01
|
||||
(epstopdf) size: 9303 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=12-eps-converted-to.pdf 12.eps>
|
||||
(epstopdf) \includegraphics on input line 167.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<12-eps-converted-to.pdf, id=137, 1442.38875pt x 742.775pt>
|
||||
File: 12-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 12-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 12-eps-converted-to.pdf used on input line 167.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
Package epstopdf Info: Source file: <13.eps>
|
||||
(epstopdf) date: 2022-01-08 05:40:27
|
||||
(epstopdf) size: 21845 bytes
|
||||
(epstopdf) Output file: <13-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 05:45:02
|
||||
(epstopdf) size: 9352 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=13-eps-converted-to.pdf 13.eps>
|
||||
(epstopdf) \includegraphics on input line 171.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<13-eps-converted-to.pdf, id=138, 1442.38875pt x 742.775pt>
|
||||
File: 13-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 13-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 13-eps-converted-to.pdf used on input line 171.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
[6 <./11-eps-converted-to.pdf> <./12-eps-converted-to.pdf>]
|
||||
Package epstopdf Info: Source file: <14.eps>
|
||||
(epstopdf) date: 2022-01-08 05:40:35
|
||||
(epstopdf) size: 21538 bytes
|
||||
(epstopdf) Output file: <14-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 05:45:02
|
||||
(epstopdf) size: 9269 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=14-eps-converted-to.pdf 14.eps>
|
||||
(epstopdf) \includegraphics on input line 175.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<14-eps-converted-to.pdf, id=158, 1442.38875pt x 742.775pt>
|
||||
File: 14-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 14-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 14-eps-converted-to.pdf used on input line 175.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
Package epstopdf Info: Source file: <15.eps>
|
||||
(epstopdf) date: 2022-01-08 05:40:50
|
||||
(epstopdf) size: 21551 bytes
|
||||
(epstopdf) Output file: <15-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 05:45:03
|
||||
(epstopdf) size: 9308 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=15-eps-converted-to.pdf 15.eps>
|
||||
(epstopdf) \includegraphics on input line 179.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<15-eps-converted-to.pdf, id=159, 1442.38875pt x 742.775pt>
|
||||
File: 15-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 15-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 15-eps-converted-to.pdf used on input line 179.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
[7 <./13-eps-converted-to.pdf> <./14-eps-converted-to.pdf>]
|
||||
Package epstopdf Info: Source file: <16.eps>
|
||||
(epstopdf) date: 2022-01-08 05:41:01
|
||||
(epstopdf) size: 21546 bytes
|
||||
(epstopdf) Output file: <16-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 05:45:03
|
||||
(epstopdf) size: 9334 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=16-eps-converted-to.pdf 16.eps>
|
||||
(epstopdf) \includegraphics on input line 183.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<16-eps-converted-to.pdf, id=179, 1442.38875pt x 742.775pt>
|
||||
File: 16-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 16-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 16-eps-converted-to.pdf used on input line 183.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
Package epstopdf Info: Source file: <17.eps>
|
||||
(epstopdf) date: 2022-01-08 05:41:11
|
||||
(epstopdf) size: 21540 bytes
|
||||
(epstopdf) Output file: <17-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 05:45:04
|
||||
(epstopdf) size: 9253 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=17-eps-converted-to.pdf 17.eps>
|
||||
(epstopdf) \includegraphics on input line 187.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<17-eps-converted-to.pdf, id=180, 1442.38875pt x 742.775pt>
|
||||
File: 17-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 17-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 17-eps-converted-to.pdf used on input line 187.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
[8 <./15-eps-converted-to.pdf> <./16-eps-converted-to.pdf>]
|
||||
Package epstopdf Info: Source file: <18.eps>
|
||||
(epstopdf) date: 2022-01-08 05:41:25
|
||||
(epstopdf) size: 21834 bytes
|
||||
(epstopdf) Output file: <18-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 05:45:04
|
||||
(epstopdf) size: 9367 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=18-eps-converted-to.pdf 18.eps>
|
||||
(epstopdf) \includegraphics on input line 191.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<18-eps-converted-to.pdf, id=199, 1442.38875pt x 742.775pt>
|
||||
File: 18-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 18-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 18-eps-converted-to.pdf used on input line 191.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
Package epstopdf Info: Source file: <19.eps>
|
||||
(epstopdf) date: 2022-01-08 05:41:35
|
||||
(epstopdf) size: 21840 bytes
|
||||
(epstopdf) Output file: <19-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 05:45:05
|
||||
(epstopdf) size: 9365 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=19-eps-converted-to.pdf 19.eps>
|
||||
(epstopdf) \includegraphics on input line 195.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<19-eps-converted-to.pdf, id=200, 1442.38875pt x 742.775pt>
|
||||
File: 19-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 19-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 19-eps-converted-to.pdf used on input line 195.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
[9 <./17-eps-converted-to.pdf> <./18-eps-converted-to.pdf>]
|
||||
Package epstopdf Info: Source file: <110.eps>
|
||||
(epstopdf) date: 2022-01-08 05:41:48
|
||||
(epstopdf) size: 20303 bytes
|
||||
(epstopdf) Output file: <110-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 05:45:16
|
||||
(epstopdf) size: 9036 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=110-eps-converted-to.pdf 110.eps>
|
||||
(epstopdf) \includegraphics on input line 199.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<110-eps-converted-to.pdf, id=219, 1442.38875pt x 742.775pt>
|
||||
File: 110-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 110-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 110-eps-converted-to.pdf used on input line 199.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
[10 <./19-eps-converted-to.pdf> <./110-eps-converted-to.pdf>] [11]
|
||||
Chapter 2.
|
||||
|
||||
Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding):
|
||||
(hyperref) removing `math shift' on input line 160.
|
||||
(hyperref) removing `math shift' on input line 242.
|
||||
|
||||
|
||||
Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding):
|
||||
(hyperref) removing `superscript' on input line 160.
|
||||
(hyperref) removing `superscript' on input line 242.
|
||||
|
||||
|
||||
Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding):
|
||||
(hyperref) removing `math shift' on input line 160.
|
||||
(hyperref) removing `math shift' on input line 242.
|
||||
|
||||
[6
|
||||
[12
|
||||
|
||||
]
|
||||
|
||||
Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding):
|
||||
(hyperref) removing `math shift' on input line 198.
|
||||
(hyperref) removing `math shift' on input line 280.
|
||||
|
||||
|
||||
Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding):
|
||||
(hyperref) removing `superscript' on input line 198.
|
||||
(hyperref) removing `superscript' on input line 280.
|
||||
|
||||
|
||||
Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding):
|
||||
(hyperref) removing `math shift' on input line 198.
|
||||
(hyperref) removing `math shift' on input line 280.
|
||||
|
||||
[7]
|
||||
Underfull \hbox (badness 10000) in paragraph at lines 211--217
|
||||
[13]
|
||||
Underfull \hbox (badness 10000) in paragraph at lines 293--299
|
||||
|
||||
[]
|
||||
|
||||
[8] [9] [10] [11] [12
|
||||
[14] [15] [16]
|
||||
Package epstopdf Info: Source file: <20.eps>
|
||||
(epstopdf) date: 2022-01-08 06:06:05
|
||||
(epstopdf) size: 69458 bytes
|
||||
(epstopdf) Output file: <20-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 06:08:43
|
||||
(epstopdf) size: 29494 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=20-eps-converted-to.pdf 20.eps>
|
||||
(epstopdf) \includegraphics on input line 355.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<20-eps-converted-to.pdf, id=270, 1442.38875pt x 742.775pt>
|
||||
File: 20-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 20-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 20-eps-converted-to.pdf used on input line 355.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
Package epstopdf Info: Source file: <21.eps>
|
||||
(epstopdf) date: 2022-01-08 06:06:15
|
||||
(epstopdf) size: 69709 bytes
|
||||
(epstopdf) Output file: <21-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 06:08:43
|
||||
(epstopdf) size: 29677 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=21-eps-converted-to.pdf 21.eps>
|
||||
(epstopdf) \includegraphics on input line 359.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<21-eps-converted-to.pdf, id=271, 1442.38875pt x 742.775pt>
|
||||
File: 21-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 21-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 21-eps-converted-to.pdf used on input line 359.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
Package epstopdf Info: Source file: <22.eps>
|
||||
(epstopdf) date: 2022-01-08 06:06:51
|
||||
(epstopdf) size: 68828 bytes
|
||||
(epstopdf) Output file: <22-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 06:08:44
|
||||
(epstopdf) size: 29625 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=22-eps-converted-to.pdf 22.eps>
|
||||
(epstopdf) \includegraphics on input line 363.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<22-eps-converted-to.pdf, id=272, 1442.38875pt x 742.775pt>
|
||||
File: 22-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 22-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 22-eps-converted-to.pdf used on input line 363.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
[17 <./20-eps-converted-to.pdf> <./21-eps-converted-to.pdf>]
|
||||
Package epstopdf Info: Source file: <23.eps>
|
||||
(epstopdf) date: 2022-01-08 06:07:02
|
||||
(epstopdf) size: 175362 bytes
|
||||
(epstopdf) Output file: <23-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 06:08:44
|
||||
(epstopdf) size: 67497 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=23-eps-converted-to.pdf 23.eps>
|
||||
(epstopdf) \includegraphics on input line 367.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<23-eps-converted-to.pdf, id=291, 1442.38875pt x 742.775pt>
|
||||
File: 23-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 23-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 23-eps-converted-to.pdf used on input line 367.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
Package epstopdf Info: Source file: <24.eps>
|
||||
(epstopdf) date: 2022-01-08 06:07:11
|
||||
(epstopdf) size: 175671 bytes
|
||||
(epstopdf) Output file: <24-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 06:08:45
|
||||
(epstopdf) size: 67623 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=24-eps-converted-to.pdf 24.eps>
|
||||
(epstopdf) \includegraphics on input line 371.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<24-eps-converted-to.pdf, id=292, 1442.38875pt x 742.775pt>
|
||||
File: 24-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 24-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 24-eps-converted-to.pdf used on input line 371.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
[18 <./22-eps-converted-to.pdf> <./23-eps-converted-to.pdf>]
|
||||
Package epstopdf Info: Source file: <25.eps>
|
||||
(epstopdf) date: 2022-01-08 06:07:21
|
||||
(epstopdf) size: 171807 bytes
|
||||
(epstopdf) Output file: <25-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 06:08:46
|
||||
(epstopdf) size: 66651 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=25-eps-converted-to.pdf 25.eps>
|
||||
(epstopdf) \includegraphics on input line 375.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<25-eps-converted-to.pdf, id=313, 1442.38875pt x 742.775pt>
|
||||
File: 25-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 25-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 25-eps-converted-to.pdf used on input line 375.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
Package epstopdf Info: Source file: <26.eps>
|
||||
(epstopdf) date: 2022-01-08 06:07:30
|
||||
(epstopdf) size: 328265 bytes
|
||||
(epstopdf) Output file: <26-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 06:08:46
|
||||
(epstopdf) size: 113405 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=26-eps-converted-to.pdf 26.eps>
|
||||
(epstopdf) \includegraphics on input line 379.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<26-eps-converted-to.pdf, id=314, 1442.38875pt x 742.775pt>
|
||||
File: 26-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 26-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 26-eps-converted-to.pdf used on input line 379.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
[19 <./24-eps-converted-to.pdf> <./25-eps-converted-to.pdf>]
|
||||
Package epstopdf Info: Source file: <27.eps>
|
||||
(epstopdf) date: 2022-01-08 06:07:39
|
||||
(epstopdf) size: 233952 bytes
|
||||
(epstopdf) Output file: <27-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 06:08:47
|
||||
(epstopdf) size: 78744 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=27-eps-converted-to.pdf 27.eps>
|
||||
(epstopdf) \includegraphics on input line 383.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<27-eps-converted-to.pdf, id=333, 1442.38875pt x 742.775pt>
|
||||
File: 27-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 27-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 27-eps-converted-to.pdf used on input line 383.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
Package epstopdf Info: Source file: <28.eps>
|
||||
(epstopdf) date: 2022-01-08 06:07:49
|
||||
(epstopdf) size: 232710 bytes
|
||||
(epstopdf) Output file: <28-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 06:08:48
|
||||
(epstopdf) size: 60493 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=28-eps-converted-to.pdf 28.eps>
|
||||
(epstopdf) \includegraphics on input line 387.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<28-eps-converted-to.pdf, id=334, 1442.38875pt x 742.775pt>
|
||||
File: 28-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 28-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 28-eps-converted-to.pdf used on input line 387.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
[20 <./26-eps-converted-to.pdf> <./27-eps-converted-to.pdf>]
|
||||
Package epstopdf Info: Source file: <29.eps>
|
||||
(epstopdf) date: 2022-01-08 06:07:59
|
||||
(epstopdf) size: 48458 bytes
|
||||
(epstopdf) Output file: <29-eps-converted-to.pdf>
|
||||
(epstopdf) date: 2022-01-08 06:08:48
|
||||
(epstopdf) size: 20056 bytes
|
||||
(epstopdf) Command: <repstopdf --outfile=29-eps-converted-to.pdf 29.eps>
|
||||
(epstopdf) \includegraphics on input line 391.
|
||||
Package epstopdf Info: Output file is already uptodate.
|
||||
<29-eps-converted-to.pdf, id=353, 1442.38875pt x 742.775pt>
|
||||
File: 29-eps-converted-to.pdf Graphic file (type pdf)
|
||||
<use 29-eps-converted-to.pdf>
|
||||
Package pdftex.def Info: 29-eps-converted-to.pdf used on input line 391.
|
||||
(pdftex.def) Requested size: 360.5963pt x 185.69328pt.
|
||||
[21 <./28-eps-converted-to.pdf> <./29-eps-converted-to.pdf>] [22
|
||||
|
||||
] (./ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.aux)
|
||||
Package rerunfilecheck Info: File `ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.out' has not changed.
|
||||
(rerunfilecheck) Checksum: EB8F27C1FC516A185703A5FA58130694;1090.
|
||||
(rerunfilecheck) Checksum: 9D01AC3CECD6CC1A77F1B4119304F8DD;1198.
|
||||
)
|
||||
Here is how much of TeX's memory you used:
|
||||
12143 strings out of 479304
|
||||
215350 string characters out of 5869779
|
||||
12283 strings out of 479304
|
||||
218563 string characters out of 5869779
|
||||
533293 words of memory out of 5000000
|
||||
29066 multiletter control sequences out of 15000+600000
|
||||
29173 multiletter control sequences out of 15000+600000
|
||||
426235 words of font info for 93 fonts, out of 8000000 for 9000
|
||||
1141 hyphenation exceptions out of 8191
|
||||
81i,8n,88p,327b,753s stack positions out of 5000i,500n,10000p,200000b,80000s
|
||||
{/usr/share/texmf/fonts/enc/dvips/cm-super/cm-super-t1.enc}</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi12.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi6.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi8.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr17.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr6.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr8.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy8.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm10.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfbx1200.pfb></usr/sh
|
||||
are/texmf/fonts/type1/public/cm-super/sfbx1440.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfbx1728.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfbx2488.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfrm1200.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfrm1440.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfrm2074.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfss0600.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfti1200.pfb>
|
||||
Output written on ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.pdf (13 pages, 261703 bytes).
|
||||
81i,8n,88p,327b,808s stack positions out of 5000i,500n,10000p,200000b,80000s
|
||||
{/usr/share/texmf/fonts/enc/dvips/cm-super/cm-super-t1.enc}</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx8.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi12.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi6.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi8.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr17.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr6.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr8.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy8.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm10
|
||||
.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfbx1200.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfbx1440.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfbx1728.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfbx2488.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfrm1200.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfrm1440.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfrm2074.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfss0600.pfb></usr/share/texmf/fonts/type1/public/cm-super/sfti1200.pfb>
|
||||
Output written on ENUME_KRZYSZTOF_RUDNICKI_307585_ENUME.pdf (23 pages, 866112 bytes).
|
||||
PDF statistics:
|
||||
234 PDF objects out of 1000 (max. 8388607)
|
||||
196 compressed objects within 2 object streams
|
||||
34 named destinations out of 1000 (max. 500000)
|
||||
113 words of extra memory for PDF output out of 10000 (max. 10000000)
|
||||
463 PDF objects out of 1000 (max. 8388607)
|
||||
349 compressed objects within 4 object streams
|
||||
46 named destinations out of 1000 (max. 500000)
|
||||
234 words of extra memory for PDF output out of 10000 (max. 10000000)
|
||||
|
||||
|
||||
@ -4,11 +4,13 @@
|
||||
\BOOKMARK [2][-]{subsection.1.2.1}{Linear Least Squares Problem}{section.1.2}% 4
|
||||
\BOOKMARK [2][-]{subsection.1.2.2}{Gram matrix and QR decomposition}{section.1.2}% 5
|
||||
\BOOKMARK [2][-]{subsection.1.2.3}{Gram-Schmidt algorithm}{section.1.2}% 6
|
||||
\BOOKMARK [0][-]{chapter.2}{Determine trajectory of the motion}{}% 7
|
||||
\BOOKMARK [1][-]{section.2.1}{a\) Runge-Kutta method of 4th order and Adams PC}{chapter.2}% 8
|
||||
\BOOKMARK [2][-]{subsection.2.1.1}{Problem}{section.2.1}% 9
|
||||
\BOOKMARK [2][-]{subsection.2.1.2}{Theoretical Introdution}{section.2.1}% 10
|
||||
\BOOKMARK [2][-]{subsection.2.1.3}{Adams PC method}{section.2.1}% 11
|
||||
\BOOKMARK [1][-]{section.2.2}{b\) Runge-Kutta method of 4th order with variable step size automatically adjusted}{chapter.2}% 12
|
||||
\BOOKMARK [2][-]{subsection.2.2.1}{Problem}{section.2.2}% 13
|
||||
\BOOKMARK [2][-]{subsection.2.2.2}{Theoretical Introdution}{section.2.2}% 14
|
||||
\BOOKMARK [1][-]{section.1.3}{Results}{chapter.1}% 7
|
||||
\BOOKMARK [0][-]{chapter.2}{Determine trajectory of the motion}{}% 8
|
||||
\BOOKMARK [1][-]{section.2.1}{a\) Runge-Kutta method of 4th order and Adams PC}{chapter.2}% 9
|
||||
\BOOKMARK [2][-]{subsection.2.1.1}{Problem}{section.2.1}% 10
|
||||
\BOOKMARK [2][-]{subsection.2.1.2}{Theoretical Introdution}{section.2.1}% 11
|
||||
\BOOKMARK [2][-]{subsection.2.1.3}{Adams PC method}{section.2.1}% 12
|
||||
\BOOKMARK [1][-]{section.2.2}{b\) Runge-Kutta method of 4th order with variable step size automatically adjusted}{chapter.2}% 13
|
||||
\BOOKMARK [2][-]{subsection.2.2.1}{Problem}{section.2.2}% 14
|
||||
\BOOKMARK [2][-]{subsection.2.2.2}{Theoretical Introdution}{section.2.2}% 15
|
||||
\BOOKMARK [1][-]{section.2.3}{Results}{chapter.2}% 16
|
||||
|
||||
Binary file not shown.
Binary file not shown.
@ -151,6 +151,88 @@ Then we get a very well conditioned set of normal equations:
|
||||
\[ \vdots \]
|
||||
\[ a_n\langle \psi_n, \psi_n \rangle = \langle f, \psi_n \rangle \]
|
||||
|
||||
\section{Results}
|
||||
|
||||
I decided to simulate polynomials up to $\mathbf{10^{th}}$ degree.
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{10.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{11.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{12.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{13.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{14.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{15.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{16.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{17.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{18.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{19.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{110.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\begin{tabular}{| c | c | c |}
|
||||
\hline
|
||||
|
||||
Degree & Error & Condition number of Gram's Matrix \\
|
||||
\hline
|
||||
0& 13.2040& 1\\
|
||||
\hline
|
||||
1& 9.1281& 10\\
|
||||
\hline
|
||||
2& 8.8257& 408.7796\\
|
||||
\hline
|
||||
3& 4.2365& 8.5584e+03\\
|
||||
\hline
|
||||
4& 1.5418& 3.1798e+05\\
|
||||
\hline
|
||||
5& 1.5413& 7.4675e+06\\
|
||||
\hline
|
||||
6& 1.1689& 2.8316e+08\\
|
||||
\hline
|
||||
7& 0.9345& 7.6462e+09\\
|
||||
\hline
|
||||
8& 0.8883& 3.3055e+11\\
|
||||
\hline
|
||||
9& 0.8334& 1.5167e+13\\
|
||||
\hline
|
||||
10& 6.3645e-13& 9.2930e+14\\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\end{center}
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
@ -267,6 +349,48 @@ For RK methods we have following parameters:
|
||||
\[ \epsilon_i = |(y_i)_n^{(2)}| \epsilon_r + \epsilon_a \]
|
||||
\[ \alpha = \min_{1 \leq i \leq m} (\frac{\epsilon_i}{|\delta_n(h)_i}|)^{\frac{1}{p+1}} \]
|
||||
|
||||
\section{Results}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{20.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{21.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{22.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{23.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{24.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{25.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{26.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{27.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{28.eps}
|
||||
\end{center}
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.25]{29.eps}
|
||||
\end{center}
|
||||
|
||||
|
||||
\begin{thebibliography}{9}
|
||||
\bibitem{texbook}
|
||||
|
||||
@ -4,14 +4,16 @@
|
||||
\contentsline {subsection}{\numberline {1.2.1}Linear Least Squares Problem}{3}{subsection.1.2.1}%
|
||||
\contentsline {subsection}{\numberline {1.2.2}Gram matrix and QR decomposition}{3}{subsection.1.2.2}%
|
||||
\contentsline {subsection}{\numberline {1.2.3}Gram-Schmidt algorithm}{4}{subsection.1.2.3}%
|
||||
\contentsline {chapter}{\numberline {2}Determine trajectory of the motion}{6}{chapter.2}%
|
||||
\contentsline {section}{\numberline {2.1}a) Runge-Kutta method of $4^{th}$ order and Adams PC}{6}{section.2.1}%
|
||||
\contentsline {subsection}{\numberline {2.1.1}Problem}{6}{subsection.2.1.1}%
|
||||
\contentsline {subsection}{\numberline {2.1.2}Theoretical Introdution}{6}{subsection.2.1.2}%
|
||||
\contentsline {subsubsection}{Runge-Kutta method of order 4}{7}{section*.2}%
|
||||
\contentsline {subsection}{\numberline {2.1.3}Adams PC method}{7}{subsection.2.1.3}%
|
||||
\contentsline {section}{\numberline {2.2}b) Runge-Kutta method of $4^{th}$ order with variable step size automatically adjusted}{8}{section.2.2}%
|
||||
\contentsline {subsection}{\numberline {2.2.1}Problem}{8}{subsection.2.2.1}%
|
||||
\contentsline {subsection}{\numberline {2.2.2}Theoretical Introdution}{8}{subsection.2.2.2}%
|
||||
\contentsline {subsubsection}{Error estimation using step doubling-approach}{8}{section*.3}%
|
||||
\contentsline {subsubsection}{Actual correction of the step size}{10}{section*.4}%
|
||||
\contentsline {section}{\numberline {1.3}Results}{5}{section.1.3}%
|
||||
\contentsline {chapter}{\numberline {2}Determine trajectory of the motion}{12}{chapter.2}%
|
||||
\contentsline {section}{\numberline {2.1}a) Runge-Kutta method of $4^{th}$ order and Adams PC}{12}{section.2.1}%
|
||||
\contentsline {subsection}{\numberline {2.1.1}Problem}{12}{subsection.2.1.1}%
|
||||
\contentsline {subsection}{\numberline {2.1.2}Theoretical Introdution}{12}{subsection.2.1.2}%
|
||||
\contentsline {subsubsection}{Runge-Kutta method of order 4}{13}{section*.2}%
|
||||
\contentsline {subsection}{\numberline {2.1.3}Adams PC method}{13}{subsection.2.1.3}%
|
||||
\contentsline {section}{\numberline {2.2}b) Runge-Kutta method of $4^{th}$ order with variable step size automatically adjusted}{14}{section.2.2}%
|
||||
\contentsline {subsection}{\numberline {2.2.1}Problem}{14}{subsection.2.2.1}%
|
||||
\contentsline {subsection}{\numberline {2.2.2}Theoretical Introdution}{14}{subsection.2.2.2}%
|
||||
\contentsline {subsubsection}{Error estimation using step doubling-approach}{14}{section*.3}%
|
||||
\contentsline {subsubsection}{Actual correction of the step size}{16}{section*.4}%
|
||||
\contentsline {section}{\numberline {2.3}Results}{17}{section.2.3}%
|
||||
|
||||
@ -5,8 +5,8 @@ function task1(polynomialDegree)
|
||||
[LSPSolutions, error, conditionNumber] = approximate(dataPoints, currentPolynomialDegree);
|
||||
displayInfo(currentPolynomialDegree, error, conditionNumber);
|
||||
plotGraph(currentPolynomialDegree, dataPoints, LSPSolutions)
|
||||
|
||||
end
|
||||
|
||||
end
|
||||
|
||||
function displayInfo(currentPolynomialDegree, error, conditionNumber)
|
||||
|
||||
@ -1,116 +0,0 @@
|
||||
|
||||
function task2()
|
||||
[ordinaryDifferentialEquations, initialValues, interval, algorithms] = initialize();
|
||||
solveAndPrintODEs(algorithms, ordinaryDifferentialEquations, initialValues, interval);
|
||||
[result, sizes, errors] = solveAndPlotODEAutomatic(ordinaryDifferentialEquations, initialValues, interval);
|
||||
plotStatistics(result, sizes, errors);
|
||||
plotComparisonToMatlabFunction(ordinaryDifferentialEquations, interval, initialValues);
|
||||
end
|
||||
|
||||
function [ordinaryDifferentialEquations, initialValues, interval, algorithms] = initialize()
|
||||
ordinaryDifferentialEquations = {
|
||||
@(x) x(2) + x(1) * (0.5 - x(1)^2 - x(2)^2);
|
||||
@(x) -x(1) + x(2) * (0.5 - x(1)^2 - x(2)^2)
|
||||
};
|
||||
initialValues = [8; 9];
|
||||
interval = [0; 15];
|
||||
|
||||
algorithms = {
|
||||
'RK4 algorithm', @RK4, [0.01, 0.011];
|
||||
'Adams PC algorithm', @AdamsPCMethod, [0.002, 0.01305]
|
||||
};
|
||||
end
|
||||
|
||||
function solveAndPrintODEs(algorithms, ordinaryDifferentialEquations, initialValues, interval)
|
||||
for algorithm = 1 : 2
|
||||
[algorithmName, algorithmFunction, stepSizes] = algorithms{algorithm, :};
|
||||
stepResults = solveForEachStep(stepSizes, ordinaryDifferentialEquations, initialValues, interval, algorithmFunction);
|
||||
plotAgainstTime(ordinaryDifferentialEquations, algorithmName, stepResults);
|
||||
plotAgainst(algorithmName, stepResults);
|
||||
|
||||
end
|
||||
end
|
||||
|
||||
function stepResults = solveForEachStep(stepSizes, ordinaryDifferentialEquations, initialValues, interval, algorithmFunction)
|
||||
stepResults = cell(size(stepSizes, 2), 3);
|
||||
stepNames = {'Optimal Step Size', 'Slightly Larger Step Size'};
|
||||
for stepNumber = 1:size(stepSizes, 2)
|
||||
result = algorithmFunction(ordinaryDifferentialEquations, initialValues, interval, stepSizes(stepNumber));
|
||||
stepResults(stepNumber, :) = {stepSizes(stepNumber), stepNames{stepNumber}, result};
|
||||
end
|
||||
end
|
||||
|
||||
function beginPlot()
|
||||
figure;
|
||||
grid on;
|
||||
hold on;
|
||||
end
|
||||
|
||||
function plotAgainstTime(ordinaryDifferentialEquations, algorithmName, stepResults)
|
||||
for equationNumber = 1:size(ordinaryDifferentialEquations, 1)
|
||||
beginPlot();
|
||||
|
||||
title([algorithmName, ', x_', num2str(equationNumber), ' ODE']);
|
||||
|
||||
for stepresult = stepResults'
|
||||
plot(stepresult{3}(1, :), stepresult{3}(equationNumber + 1, :));
|
||||
end
|
||||
|
||||
hold off;
|
||||
legend(stepResults{:, 2});
|
||||
end
|
||||
end
|
||||
|
||||
function plotAgainst(algorithmName, stepResults)
|
||||
beginPlot();
|
||||
title([algorithmName, ' trajectory plot (x_2 compared to x_1)']);
|
||||
for stepresult = stepResults'
|
||||
plot(stepresult{3}(2, :), stepresult{3}(3, :));
|
||||
end
|
||||
hold off;
|
||||
legend(stepResults{:, 2});
|
||||
% %print(['report/', func2str(algfunc), 'traj'], '-dpdf');
|
||||
end
|
||||
|
||||
function [result, sizes, errors] = solveAndPlotODEAutomatic(ordinaryDifferentialEquations, initialValues, interval)
|
||||
[result, sizes, errors] = solveRKAutomatic(ordinaryDifferentialEquations, initialValues, interval);
|
||||
plotTrajectory(result);
|
||||
end
|
||||
|
||||
function [result, sizes, errors] = solveRKAutomatic(ordinaryDifferentialEquations, initialValues, interval)
|
||||
initialStepSize = 1e-5;
|
||||
relativeEpsilon = 1e-9;
|
||||
absoluteEpsilon = 1e-9;
|
||||
[result, sizes, errors] = RK4Automatic(ordinaryDifferentialEquations, initialValues, interval, initialStepSize, relativeEpsilon, absoluteEpsilon);
|
||||
end
|
||||
|
||||
function plotTrajectory(result)
|
||||
figure;
|
||||
plot(result(2, :), result(3, :));
|
||||
grid on;
|
||||
title('RK4 auto-step trajectory plot (x_2 against x_1)');
|
||||
end
|
||||
|
||||
function plotStatistics(result, sizes, errors)
|
||||
stats = {
|
||||
"RK4 auto-step step size", "rk4sizes", sizes;
|
||||
"RK4 auto-step approximation error", "rk4errors", errors
|
||||
};
|
||||
for stat = stats'
|
||||
figure;
|
||||
plot(result(1, 2:(end - 1)), stat{3});
|
||||
grid on;
|
||||
title(stat{1});
|
||||
end
|
||||
end
|
||||
|
||||
function plotComparisonToMatlabFunction(ordinaryDifferentialEquations, interval, initialValues)
|
||||
% compare results with ODE45
|
||||
odefun = @(t, x) [ ordinaryDifferentialEquations{1}(x); ordinaryDifferentialEquations{2}(x) ];
|
||||
odeoptions = odeset('RelTol', 10e-10, 'AbsTol', 10e-10);
|
||||
[~, x] = ode45(odefun, interval, initialValues, odeoptions);
|
||||
figure;
|
||||
plot(x(:, 1), x(:, 2));
|
||||
grid on;
|
||||
title('ODE45 trajectory plot (x_2 against x_1)');
|
||||
end
|
||||
@ -17,7 +17,7 @@ function [ordinaryDifferentialEquations, initialValues, interval, algorithms] =
|
||||
|
||||
algorithms = {
|
||||
'RK4 algorithm', @RK4, [0.01, 0.011];
|
||||
'Adams PC algorithm', @AdamsPCMethod, [0.002, 0.01305]
|
||||
'Adams PC algorithm', @AdamsPCMethod, [0.002, 0.013]
|
||||
};
|
||||
end
|
||||
|
||||
|
||||
Loading…
Reference in New Issue
Block a user