clear example of sigma algebra generated by r.v
A random variable that induces a $\sigma$-algebra the same as the one in the sample space
I have several very similar images except some have some extra graphics that enlarge them slightly. This causes some pictures to be offset and not aligned visually when it's clear they should be.  How can I align several tikzpictures along the the same origin they were created and center vertically and horizontally properly?   First, I want to align the 3 large boxes regardless of the what the small boxes are doing Second, I want to be able to center them all without adding additional spaces the \begin{center} seems to do Third, I want to be able to reproduce the exact same results but everything in landscape mode without using the landscape package if possible. (as you can see, the problem is that TeX is putting one rectangle at a time which is not what I want) The methods should be easy and quick. I have many rectangles stacked and some need to be grouped arbitrarily. What these means is I want the methods to sort of be "smart" in that they can figure out themselves so I don't have to go change a lot of stuff each time I have to change the grouping. Basically I would like the first rectangle on the page to define the alignment location and the others on the same page to use it unless I tell them not to.   I've tried creating a custom bounding box as shown in  but it didn't do anything unless I make it too large which then causes other problems. (I can end up doing the alignment but it seems more complex than necessary)  \documentclass[10pt]{book} \usepackage{tikz}  \begin{document} \begin{tikzpicture}     \draw[line width=30pt] (0,0) -- (7,0); \end{tikzpicture}  \begin{tikzpicture}     \draw[line width=30pt] (0,0) -- (7,0);     \draw[line width=20pt] (-0.4, 0) -- (-0.1, 0); \end{tikzpicture}  \begin{tikzpicture}     \draw[line width=30pt] (0,0) -- (7,0);     \draw[line width=20pt] (-0.4, 0) -- (-0.1, 0);     \draw[line width=20pt] (-0.8, 0) -- (-0.5, 0); \end{tikzpicture}    \begin{center}% \begin{tikzpicture}%     \draw[line width=30pt] (0,0) -- (7,0); \end{tikzpicture}% \end{center}%  \begin{center}% \begin{tikzpicture}%     \draw[line width=30pt] (0,0) -- (7,0);     \draw[line width=20pt] (-0.4, 0) -- (-0.1, 0); \end{tikzpicture}% \end{center}%  \begin{center}% \begin{tikzpicture}%     \draw[line width=30pt] (0,0) -- (7,0);     \draw[line width=20pt] (-0.4, 0) -- (-0.1, 0);     \draw[line width=20pt] (-0.8, 0) -- (-0.5, 0); \end{tikzpicture}% \end{center}%     \begin{tikzpicture}%     \draw[line width=30pt] (0,0) -- (0,7); \end{tikzpicture}%   \begin{tikzpicture}%     \draw[line width=30pt] (0,0) -- (0,7);     \draw[line width=20pt] (0,-0.4) -- (0,-0.1); \end{tikzpicture}%  \begin{tikzpicture}%     \draw[line width=30pt] (0,0) -- (0,7);     \draw[line width=20pt] (0,-0.4) -- (0,-0.1);     \draw[line width=20pt] (0,-0.8) -- (0,-0.5); \end{tikzpicture}%    \begin{center}% \begin{tikzpicture}%     \draw[line width=30pt] (0,0) -- (0,7); \end{tikzpicture}% \end{center}   \begin{center}% \begin{tikzpicture}%     \draw[line width=30pt] (0,0) -- (0,7);     \draw[line width=20pt] (0,-0.4) -- (0,-0.1); \end{tikzpicture}% \end{center}%   \begin{center}% \begin{tikzpicture}%     \draw[line width=30pt] (0,0) -- (0,7);     \draw[line width=20pt] (0,-0.4) -- (0,-0.1);     \draw[line width=20pt] (0,-0.8) -- (0,-0.5); \end{tikzpicture}% \end{center}%   \end{document} How do I make my rim brakes stop squealing? My rear rim brakes are squeaking loudly. I don't know what the problem is, but I am sure it has nothing to do with rain because it happens all the time even if it is dry.  Anybody have an idea what could be problem and how to solve it? It makes the rear brakes kind of useless, because if I use them I will scare the people or drivers around me. Filling HTML  dropdown list in JSP with values fetched from database in Servlet "Give him a box that everyone knows what it contains."  Is this correct English? It sounds wrong to me. Python csv.reader: How do I return to the top of the file? When I'm moving through a file with a csv.reader, how do I return to the top of the file.   If I were doing it with a normal file I could just do something like "file.seek(0)".  Is there anything like that for the csv module?  Thanks ahead of time ;) tikz: Ignore one path in bounding box calculation How to set spawnpoint? OverlapBox() dimensions are huge but are fine when tested in isolation How do I redirect to another webpage? Let thing of a bird standing still in a box on top of a weighing machine that shows a mass $m_0$. Now, imagine that the bird is flying, still in the same box and the same weighing machine shows a mass $m_1$. As the bird when flying, is applying a force towards the weighing machine, could we deduce that $m_0 = m_1$? I'm asking this question because saying that these masses are equal makes me as uncomfortable as saying that they are not equal and can't figure the right answer. So does $m_0 = m_1$ and why? Activating 'missing' standard GRASS utilities in QGIS Processing toolbox What a pluperfect a##hole Exit strategies for "chameleon questions" How to remove items from a list while iterating? Inline image alignment issue for app and mobile web dpkg: error processing package mysql-server (--configure) How is every subset of the set of reals with the finite complement topology compact? While we know that every finite set is compact, how to prove that every infinite subset of $\mathbf{R}$, the set of all real numbers, is also compact in the finite-complement topology (also called the co-finite topology)?   What is the situation in the case of an arbitrary infinite set $X$ with the finite-complement topology? Do not hide VLQ flag option from users who already flagged and may wish to retract Can helium disappear from Earth? Installing node with apt-get or downloading the Linux Binaries (.tar.gz) What is the difference between installing node.js with 'sudo apt-get install nodejs' or downloading the Linux Binaries (.tar.gz) and following  instructions?  Is the outcome the same?