Isomorphism and group product
Does $G\times K\cong H\times K$ imply $G\cong H$?
How to saveHTML of DOMDocument without HTML wrapper? How to fill a rectangular hole with an even amount of vertices on either side? I tried crating faces but it left missing edges. In the end I was left with all the right lines but there was no vertex in the center.    Here's a follow up image in case you're wondering what I mean. Notice how there's no vertex in the center. Tiny lifeforms on planetoid that live at accelerated time rate A book I once owned and read back in late-80's or early-90's that I have not been able to identify title &amp; author for:  It was a SF story concerning tiny native lifeforms, living on either a planetoid or possibly a dead/neutron star, that evolve at a seemingly accelerated time rate. Most of their story is told in the few days of observation (from orbit) by a human expedition to the planet, during which time-frame the race below progresses from stone-age tech level to being more advanced than the human observers, and eventually flying up to meet the humans in small advanced craft powered by micro-singularities... one of which accidentally 'disintegrates' the tip of a human scientist's nose in the process. Directory-tree listing in Python How to use "grep" command to find text including subdirectories Named Credentials - Merge Fields not Resolving What is the command to add newline linebreak in \sum \prod? I am sure this question or similar has been asked but I cannot find it by searching so adding it to make it more accessible: what is the command/environment to add newline linebreak in \sum \prod so the expression is on two rows instead of one line hard to read?    MWE  \documentclass{article} \usepackage{amsmath,amsfonts}  \begin{document}  $$\sum^{N_{cut}}_{i=1,\newline e_1\in C_i,e_2\not\in C_i} \prod_{j\in C_i} p_j-\sum^{N_{cut}}_{i=1,e_2\in C_i,e_1\not\in C_i} \prod_{j\in C_i} p_j\geq 0$$  \end{document} How to use a string column with pgfplotstable to label datapoints in a pgfplot? I have a comma-separated list of data points. They should be plotted as a scatter plot, and should be labeled using data from the .csv file. Having specified the first column of my file as string type, I still keep running into errors saying Could not parse input [...] as a floating point number, sorry.  Given a CSV file of the following format, how can I read Name and Z as labels?  Name,X,Y,Z ODIN,250,45,2001   Here is my MWE:  \documentclass{article}  \usepackage{tikz,pgfplots,pgfplotstable}     \pgfplotsset{compat=1.5.1}  \begin{document}  \pgfplotstabletypeset[columns/Name/.style={string type}]{table.csv};  \begin{tikzpicture}     \begin{axis}[     visualization depends on=\thisrow{Name} \as \labela,     visualization depends on=\thisrow{Z} \as \labelb,     every node near coord/.append style={font={\tiny}},     nodes near coords=\labela/\labelb,     nodes near coords align={horizontal},]      \addplot[only marks] table [x=X,y=Y,col sep=comma] {table.csv};      \end{axis} \end{tikzpicture}  \end{document}   Note that if the data in column Name is just floats it should work fine. Disable drag and drop option for multiple file uploader These are the screenshots of multiple file uploader from the same SharePoint 2010 site. Some users are seeing the first and some are seeing the second one. Is it possible to disable the second view(drag and drop) by editing upload.aspx in the layouts folder?      Thank you Differentiable functions satisfying $f'(f(x))=f(f'(x))$ I am trying to install Wordpress on Lubuntu. I followed the instructions . Including PHP Apache and MySQL setups. Apache and MySQL appear to be running fine.  However, when I go to http://localhost/blog/, I get the following error:     Neither /etc/wordpress/config-localhost.php nor /etc/wordpress/config-localhost.php could be found.   Ensure one of them exists, is readable by the webserver and contains the right password/username. Shortcut for toggling between different windows of same app? Changing Unsubscribe reason through SSJS I noticed that you can unsubscribe a user , is it possible to use SSJS to change the unsubscribe reason?  I notice that doing it through ? why is that?  Thanks Writing in bash while it is working When you are performing time consuming operations in bash like installing new software, is it possible to write text that will appear at the prompt when the operation has finished.  E.g   Imagine running:  apt-get install eclipse-platform   Then it will use quite a while to finish while you see the installation log, meanwhile I want to create new folders (workspaces) which Eclipse later will use.  Is this possible without opening a new terminal (or tab)? Is there any field of characteristic two that is not $\mathbb{Z}/2\mathbb{Z}$ Is there any field of characteristic two that is not $\mathbb{Z}/2\mathbb{Z}$?  That is, if a field is of characteristic 2, then does this field have to be $\{0,1\}$? Tag links in tag excerpts not shown properly If a tag excerpt contains a link to another tag with the [tag:foobar] syntax, this link is not properly shown in every context. For an example see . The link is shown as [tag:school-libraries] but it should be  or at least "school-libraries". I currently have a 75% credit utilization, which I know is not favorable on about 35,000 revolving credit.  I am getting my year end bonus and plan on using that to completely pay off all of my credit cards leaving me with a 0% credit utilization.  Currently my credit score is 668, mostly due to my utilization, I pay everything on time, but just have too much debt, which is why i'm paying it all off.  My question is how much will paying off all my revolving credit and having a 0% utilization on 35,000 credit availability positively effect my credit score? Can we please move the  "Start a bounty" link to be in the same location as all of the other action buttons? It makes no sense to me for this to be buried after the comments - It's an action on the Question. It can be very difficult to locate, especially when your question gets .  I don't think this should be that difficult to implement - it's just moving the location of a design element. Can we please get this button moved? Looking for a basic PostGIS viewer to use as basis for own application I'm looking for a rather basic PostGIS viewer. It should be possible to pan, zoom and retrieve coordinate information on mouse click. No need to support coordinate transformations. It should introduce as little further dependencies as possible. Preferably written in C++. Does the shebang determine the shell which runs the script?