Can anybody help me to produce this? I couldn't find anything similar on the forum.  No need for a grid.     Thank you,  Mironas
I'm using TikZ to plotting some functions for a document. For example, I want to plot 1/(x+1). So I did something like this:  \begin{tikzpicture}[&gt;=stealth,x=3mm,y=3mm] \draw (0,5) node[above]{\fimg $y=f(x+1)=\dfrac{1}{x+1}$}; \clip (-5,-5) rectangle (5,5); \ejes[1]{-4}{4}{-4}{4} \draw[samples=100] plot(\x,{1/(\x+1)}); \end{tikzpicture}   where \ejes[style]{xmin}{xmax}{ymin}{ymax} is command, that I have defined before to draw the axes (join with \fimg). My expected output for the code below was just the function, but I get this:    So, TikZ automagically put the vertical asymptote at x=-1. That isn't a bad thing, but now I want to have some control over it. For example I want dotted lines for vertical asymptotes. How can I do that?
Reference label with included file and relaxed clearpage I am running into a rather weird error that apparently originates from the combination of \include, \let\clearpage\relax and a referenced label after a page break.  In this particular example, the label mylabel defined in the listing cannot be referenced anymore when the reference and the label are close enough to a page break.  The MWE consists of two files, the main-file and an included file. I am using the \let\clearpage\relax command to . The error does not occur if the file is \input instead of \included.  \documentclass[11pt,twoside]{book} %  \usepackage[utf8]{inputenc} % Enoding \usepackage[english]{babel} % Language \usepackage{listings} \usepackage{forloop}  \begin{document} \begingroup \let\clearpage\relax  \include{includedfile} % changing include for input would work  \endgroup \end{document}   Included file:   \newcounter{ct} \forloop{ct}{1}{\value{ct} &lt; 40}% {%     .\\ }  Listing \ref{mylabel}.  \begin{lstlisting}[caption=somecaption, label=mylabel] some code; \end{lstlisting}   Running this example will have an output where the label cannot be referenced (even after multiple runs):    Now, one solution is to use \input as mentioned earlier but I am rather interested in why this happens. Does the \clearpage command fulfil an important function for references to work? And can the error be avoided without removing \let\clearpage\relax while using \include?  EDIT: I just found  with the same issue (though it does not have a definite answer). What does "Suit yourself" mean? How do I start a process from C#? Is there an AES identity key? The following questions are of pure theoretical nature. I don't have an application in mind.   Is there a key that makes AES the identity function? Is there a key that makes AES the identity function for certain inputs? Is it known whether such keys might exist? Are such keys known for other ciphers?   For example, I want to encrypt "Hello StackExchg" with AES with said key and the ciphertext should be again "Hello StackExchg".  When I encrypt "Hello StackExchg" with the perfect cipher one-time-pad, there is a possibility that the resulting ciphertext is again "Hello StackExchg". This possibility must exist (though it is unrealistically small), otherwise, the ciphertext would not be perfectly random but depending on the plaintext. 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I assume this is because they are all hosted on stackoverflow.blog/wp-content/uploads/ rather than zgab33vy595fw5zq-zippykid.netdna-ssl.com/wp-content/uploads/, and they got destroyed in the removal of Blog Overflow. I looked around at a few other blog posts, and this post seems to be the only one having an issue. It is well know that $SO(n)$ is connected and $O(n)$ has two connected components: $O^+(n)=\{A\in O(n):\det A=+1\}$ and $O^-(n)=\{A\in O(n):\det A=-1\}$.   In what book can I find this property? How do I code a table to look like this? I'm not the best at LaTeX and can't seem to wrap my head around \multirow. I checked other examples prior to posting but they used \multicolumn and it just confused me even more. 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