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Merge branch '4th-semester'

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2 parents 0243396 + c5dbf60 commit 6dc8b428b4d55ce7779fad226c5c621b90150deb @fphilipe committed Oct 22, 2011
Showing with 3,234 additions and 370 deletions.
  1. +4 −4 .includes/extra_packages.tex
  2. +3 −0 .includes/macro_setup.tex
  3. +13 −0 Numerische Mathematik/content/anhang.tex
  4. +378 −363 Numerische Mathematik/content/inhalt.tex
  5. +3 −3 Numerische Mathematik/content/titelseite.tex
  6. +55 −0 Physik II/Physik II.tex
  7. +215 −0 Physik II/content/anhang.tex
  8. +1,033 −0 Physik II/content/schwingungen_und_wellen.tex
  9. +39 −0 Physik II/content/titelseite.tex
  10. +45 −0 Physik II/graphics/EMK.tex
  11. +53 −0 Physik II/graphics/bildladung.tex
  12. +59 −0 Physik II/graphics/doppelspalt.tex
  13. +14 −0 Physik II/graphics/intensitaet.tex
  14. +24 −0 Physik II/graphics/linse.tex
  15. +18 −0 Physik II/graphics/linse2.tex
  16. +63 −0 Physik II/graphics/reflexion.tex
  17. +34 −0 Thermodynamik II (LTNT)/Thermodynamik II (LTNT).tex
  18. +92 −0 Thermodynamik II (LTNT)/content/1_mechanismen_der_waermeuebertragung.tex
  19. +90 −0 Thermodynamik II (LTNT)/content/2_die_waermeleitungsgleichung.tex
  20. +272 −0 Thermodynamik II (LTNT)/content/3_stationaere_eindimensionale_waermeleitung.tex
  21. +87 −0 Thermodynamik II (LTNT)/content/4_instationaere_waermeleitung.tex
  22. +85 −0 Thermodynamik II (LTNT)/content/5_grundlagen_der_konvektion.tex
  23. +273 −0 Thermodynamik II (LTNT)/content/6_erzwungene_konvektion.tex
  24. +124 −0 Thermodynamik II (LTNT)/content/7_erzwungene_konvektion_in_kanaelen.tex
  25. +58 −0 Thermodynamik II (LTNT)/content/8_natuerliche_konvektion.tex
  26. +10 −0 Thermodynamik II (LTNT)/content/outline.tex
  27. +39 −0 Thermodynamik II (LTNT)/content/titelseite.tex
  28. +5 −0 Thermodynamik II (LTNT)/graphics/6eck.tex
  29. +9 −0 Thermodynamik II (LTNT)/graphics/6eck_.tex
  30. +5 −0 Thermodynamik II (LTNT)/graphics/d_hoehe.tex
  31. +11 −0 Thermodynamik II (LTNT)/graphics/platte.tex
  32. +9 −0 Thermodynamik II (LTNT)/graphics/quadrat.tex
  33. +9 −0 Thermodynamik II (LTNT)/graphics/quadrat_.tex
  34. +3 −0 Thermodynamik II (LTNT)/graphics/v_pfeil.tex
@@ -6,7 +6,7 @@
\usepackage[sc]{mathpazo}
\usepackage[thmmarks]{ntheorem}
\usepackage[nice]{nicefrac}
-\usepackage[load={prefixed,prefix,abbr,named,synchem,addn},per=frac,fraction=frac]{siunitx}
+\usepackage[load-configurations=version-1,load={prefixed,prefix,abbr,named,synchem,addn},per=frac,fraction=frac]{siunitx}
\usepackage{tikz}
\usepackage[T1]{fontenc}
\usepackage{microtype}
@@ -23,9 +23,9 @@
}
% Macro for units
\newcommand{\sunit}[1]{\ensuremath{ \quad \left[ \si{#1} \right] } }
-\newcommand{\nicesunit}[1]{\ensuremath{ \quad \left[ \si[fraction=nicefrac]{#1} \right] } }
+\newcommand{\nicesunit}[1]{\ensuremath{ \quad \left[ \si[fraction-function=\nicefrac]{#1} \right] } }
\newcommand{\unit}[1]{\ensuremath{ \left[ \si{#1} \right] } }
-\newcommand{\niceunit}[1]{\ensuremath{ \left[ \si[fraction=nicefrac]{#1} \right] } }
+\newcommand{\niceunit}[1]{\ensuremath{ \left[ \si[fraction-function=\nicefrac]{#1} \right] } }
%% [OPT] Multi-rowed cells in tabulars
%\usepackage{multirow}
@@ -109,4 +109,4 @@
\usepackage[setpagesize=false]{hyperref}
-\usepackage{multirow}
+\usepackage{multirow}
@@ -1,5 +1,7 @@
%% Custom commands =============================================================
+\synctex=1
+
%% Depends on this
\usepackage{ifthen}
\usepackage{rotating}
@@ -30,6 +32,7 @@
\DeclareMathOperator{\grad}{\nabla\!}
\DeclareMathOperator{\rot}{\nabla\times}
\DeclareMathOperator{\Div}{\nabla\cdot}
+\DeclareMathOperator{\sinc}{sinc}
% complex and real operators
\renewcommand{\Im}{\mathrm{Im}}
@@ -48,6 +48,19 @@ \section{Quasi-Newton-Verfahren}
end
\end{lstlisting}
+\section{Singulärwertzerlegung (SVD)}
+ \begin{lstlisting}[style=list]
+B = [4 2 0; 3 5 7; -2 -1 0; 1 0 -1];
+c = [10 13 -5 1.8]';
+[u,s,v] = svd(B);
+k = rank(B);
+y = zeros(k,1);
+for i = 1:k
+ y(i) = u(:,i)' * c / s(i,i);
+end
+xstar = v(:,1:k) * y
+ \end{lstlisting}[style=list]
+
\section{Fourier-Transform}
\begin{lstlisting}[style=list]
% Plotten der diskreten Funktionswerte
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