Can we partition $[0,1]$ into two nowhere null sets?
Construct a Borel set on R such that it intersect every open interval with non-zero non-"full" measure
How to read an already existing NgSpice raw file This has taken me a couple of days to solve. I have a set of NgSpice raw files that I would like to exploit so as to visualize the voltage distributions in different circuits. What is the python command to use or python package to import in order for me to achieve this. Note: I am a bit familiar with the PySpice python package, but from what I have read and understood it works when you use it to create your netlist and run it, by using the already stored variables in its memory. In my case however, raw files are already generated... Hope I was clear enough. Prove that $A^TD-C^TB=I$ How can I compile different .tex file on click on typeset in TeXShop? (MacTeX 2011) My problem is that I want to have different .tex files for the preamble, the presentation aroundings (my target is a beamer PDF file) and the content of the presentation.  Mostly I'll be working on the content file. I even think about partitioning this content .tex file into several chapter files for a better overview. My problem with this solution is that I have to open the presentation.tex file to typeset the whole beamer PDF for looking at the results of my previous changes on the content files. (My presentation.tex file includes the preamble and the content.)  Is there any way to get TeXShop to always typeset one particular file (my presentation.tex) although I'm currently working on a different one (e.g. the content.tex)?  A shortcut? A command in the .tex file? An option in TeXShop? Anything? I have been playing on hardmode for a while and have beaten the three  a couple of times. But I have yet to find a . It's getting really frustrating.  Does anyone have any methods to finding a Plantera Bulb? How do I disable tabs for  tag I am using &lt;a&gt; tags for links on a web page. How do I disable the Tab key from selecting either of them? Elsarticle - Abstract two columns wide I am currently trying to create an article in elsarticle style, twocolumn. The title and text end up in two columns, the abstract however is made two columns wide. Any ideas what I am doing wrong? Obviously I want my abstract to also be only in the first column.  \documentclass[a4paper,10pt,twocolumn,preprint]{elsarticle}  \usepackage{lipsum}  \journal{TexExchange}   \begin{document}     \begin{frontmatter}       \title{Two-column abstract}       \begin{abstract}         \lipsum[1]      \end{abstract}       \begin{keyword}        abstract      \end{keyword}    \end{frontmatter}   \section{Outline}    \lipsum[2-3]  \end{document} I am trying to understand   How can a set contain itself? Can you show example of set which is not a set of all sets and it contains itself. How do I change the `enumerate` list format to use letters instead of the default Arabic numerals? what exactly is mathematical rigor? I am a programmer moving up to computer science and even in my past life as a mechanical engineer I used sufficient maths to get by but I have always wondered what exactly is this thing called rigor.  Please make me understand it. Mountain Bike on Paved Roads I'm an occasional biker. I bought a mountain bike (nothing fancy) with the idea that I might use it off-road or on mountain trails (of which there are many here in Calgary). However, since I've bought it I've done nothing but bike in the city on streets and paved bike trails.  Is there anything worth doing to my bike to convert it to something more suited to urban biking? In particular, the tires have me wondering; they have large rubber off-roading lugs that surely aren't doing me any favors on pavement. I'm not looking to spend a tons of money on a retrofit, but will do so if its worthwhile. 2.8 mesh select mode hotkey changed The hotkey for mesh select mode (vertex, edge, face) while in edit mode Ctrl + Tab has been reassigned in 2.8. Is there another hotkey assigned for this? Delaunay triangulation to generate abstract networks and nodes How does deleting work? What can cause a post to be deleted, and what does that actually mean? What are the criteria for deletion? What circumstances can cause a question or answer to be deleted, and what does that actually mean?    How can a post be deleted? When can't I delete my own post? Can I still see my post even after it's deleted? Can I see a list of my deleted posts? How can I undelete one of my posts? What does deletion mean for a post? How do votes to delete work? What are the criteria for deletion? What else should I know about deleted posts? If I flag my question with a request to delete it, what will happen?       For more information, see the articles about  and  in the . Does someone know how to set a command block with a command inside using the setblock command?  I have created this code /setblock &lt;x&gt; &lt;y&gt; &lt;z&gt; command_block {TileEntityData:{Command:"testfor @p[_=1]"}} but it doesn't works.  Do someone know how to do that? I just can't seem to figure this one out.  I want to use the command line to connect to a MySQL database residing on another server.  I went ahead and created the username and password for the user.  I have also granted all privileges on that user for that database.  When using the command: mysql -h &lt;hostname&gt; -u &lt;username&gt; -p, I get the following error:  ERROR 1045 (28000): Access denied for user '&lt;username&gt;'@'&lt;local_machine_hostname&gt;' (using password: YES)   The problem is that it keeps appending the current machine's hostname into the username.  Obviously, that user@&lt;local_machine_hostname&gt; is not correct.  It doesn't matter what I type.  For instance, if I type:  mysql -h &lt;hostname&gt; -u '&lt;username&gt;'@'&lt;hostname&gt;' -p   It does the same, only in the error output, it says:  Access denied for user '&lt;username&gt;@&lt;hostname&gt;'@'&lt;local_machine_hostname&gt;'   Is there a setting in a configuration file which is allowing this to happen?  It's really quite annoying.  I need to set up a tikiwiki server, and it cannot connect because during the step where you set up mysql, it keeps appending the local machine's hostname to the mysql login name. How to align multiple subfigures in a grid? I have three images and I want to align them in the way that one image is above the other two. Here's an example:    How can I achieve this? For my other figures I use the subcaption package, but I am not able to align the pictures that way with it.    Thanks for all your replys! The answer that is working for me is the one supposed by karlkoeller:  \documentclass{article} \usepackage{graphicx} \usepackage{subcaption}  \begin{document}  \begin{figure} \centering \begin{subfigure}[b]{.45\linewidth} \includegraphics[width=\linewidth]{example-image-a} \caption{A mouse}\label{fig:mouse} \end{subfigure}  \begin{subfigure}[b]{.45\linewidth} \includegraphics[width=\linewidth]{example-image-b} \caption{A gull}\label{fig:gull} \end{subfigure} \begin{subfigure}[b]{.45\linewidth} \includegraphics[width=\linewidth]{example-image-c} \caption{A tiger}\label{fig:tiger} \end{subfigure} \caption{Picture of animals} \label{fig:animals} \end{figure}  \end{document} The email for getting notifications can be changed by clicking the "preferences" tab in your profile. After entering a new email address, the "Save email settings" button becomes clickable:    Clicking the button turns it grey:    So all looks well. But if you don't confirm the email by clicking on the link sent to your email inbox, the next time you go back to the preferences, you will see your old email address with no indication that it changed.  You can subscribe to the weekly newsletter from the "edit" tab of your profile. If you click the option and save, the next time you visit the edit page before confirming your email you get this message:    Once you confirm the email, the resend link disappears so you know the subscription is set up:    Ideally, the two systems would be unified so that all email subscriptions happen the same way. But short of that, it would be very helpful to indicate that an email address is unconfirmed for notification emails just like newsletters. Give an example of a convergent series $$\sum_{n=1}^{\infty}a_n$$ such that the series $$\sum_{n=1}^{\infty}a_{3n}$$ is divergent..  I cannot find find any kind of series... I am also be very thankful if you find a divergent series (changing the term convergent)... A worker carries two bags. Each of the bags initially contains N nails. Whenever the worker needs a nail, he takes it from a bag picked at random. At some point the worker picks an empty bag. Find the probability that the other bag contains exactly m nails.  My reasoning:  The desired probability: $C_2^1 \cdot P(|A| = 0\ and\ |B| = m)$, where A, B - sets of nails in each bag. Then we can "divide" this probability (I suppose that I deal with independent events):  $P(|A| = 0\ and\ |B| = m) = P(|A| = 0) \cdot P(|B| = m);$  $P(|A| = 0) = (\frac{1}{2})^N$, where $|A| = |B| = N$ (initial condition).  $P(|B| = m) = (\frac{1}{2})^{N - m}$  Result: $C_2^1 \cdot P(|A| = 0\ and\ |B| = m)$ = $C_2^1 \cdot (\frac{1}{2})^{2N - m}$  Am I wrong or it is correct? What size canvas should logos be designed on? When designing a logo is there a minimum size canvas that should be used to keep quality when it is enlarged or when reduced?  Obviously the dimensions of a canvas depend on the shape of the logo, but is there a sugested size?