diff --git a/docs/seven-wonders.pdf b/docs/seven-wonders.pdf index e4082a3..119e236 100644 Binary files a/docs/seven-wonders.pdf and b/docs/seven-wonders.pdf differ diff --git a/images/cablemix.jpg b/images/cablemix.jpg index d7abe80..6d0605b 100644 Binary files a/images/cablemix.jpg and b/images/cablemix.jpg differ diff --git a/images/cablepressure.jpg b/images/cablepressure.jpg index f2594e8..61a524c 100644 Binary files a/images/cablepressure.jpg and b/images/cablepressure.jpg differ diff --git a/images/cableshear.jpg b/images/cableshear.jpg index d508029..a87401e 100644 Binary files a/images/cableshear.jpg and b/images/cableshear.jpg differ diff --git a/images/cabletension.jpg b/images/cabletension.jpg index 4118e9b..535d421 100644 Binary files a/images/cabletension.jpg and b/images/cabletension.jpg differ diff --git a/images/drawings.odp b/images/drawings.odp index 5caeaa0..bf7ea99 100644 Binary files a/images/drawings.odp and b/images/drawings.odp differ diff --git a/seven-wonders.pdf b/seven-wonders.pdf index e4082a3..119e236 100644 Binary files a/seven-wonders.pdf and b/seven-wonders.pdf differ diff --git a/seven-wonders.tex b/seven-wonders.tex index 22dc8cf..77ff67d 100644 --- a/seven-wonders.tex +++ b/seven-wonders.tex @@ -2,7 +2,7 @@ \pdfinclusioncopyfonts=1 %% Author: PGL Porta Mana %% Created: 2015-05-01T20:53:34+0200 -%% Last-Updated: 2024-10-31T11:50:37+0100 +%% Last-Updated: 2024-10-31T12:19:57+0100 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newif\ifanon \anonfalse @@ -5483,9 +5483,13 @@ \section{Formulation and generalities} \begin{equation} \label{eq:cons_matter} - \underbracket[0pt]{\yN(\ytf) =\yN(\yti) + \int_{\yti}^{\ytf}\!\!\yJ(t)\,\di t \int_{\yti}^{\ytf}\!\!\ya(t)\,\di t}_{\mathclap{\text{\color{grey}integral form}}} + \underbracket[0pt]{\yN(\ytf) = + \yN(\yti) + + \int_{\yti}^{\ytf}\!\!\yJ(t)\,\di t + + \int_{\yti}^{\ytf}\!\!\ya(t)\,\di t}_{\mathclap{\text{\color{grey}integral form}}} \qquad\quad - \underbracket[0pt]{\frac{\di\yN(t)}{\di t} = \yJ(t) \ya(t)}_{\mathclap{\text{\color{grey}differential form}}} + \underbracket[0pt]{\frac{\di\yN(t)}{\di t} = \yJ(t) + + \ya(t)}_{\mathclap{\text{\color{grey}differential form}}} \end{equation} The supply $\ya$ is usually called \textbf{activity}, and $\ya(t)\equiv 0$ in case of conservation. \end{definition} @@ -6436,7 +6440,7 @@ \subsection{Statics again: cable cars} \begin{definition}{{Momentum flux allowed in cables and ropes}} A cable, rope, or similar object can (approximately) only transmit \autoref{sec:tension}{\emph{tensile} momentum flux}, aligned along its axis. \end{definition} -Pictorially this means that only the momentum flux represented in the left picture below (tension) is physically possible: +Pictorially this means that only the momentum flux represented in the left picture below -- tension -- is physically possible: \begin{center} \includegraphics[align=c,width=0.33\linewidth]{images/cabletension.jpg}% \hfill