Writing a SOP or Writing an sop?
Do you use "a" or "an" before acronyms / initialisms?
When can we find holomorphic bijections between annuli? When I add a mirror modifier it sometimes doesn't mirror correctly, giving me an overlapping mesh. How can I fix this? I have a MySQL table with utf8 general ci collation. In the table, I can see two entries:  abad abád  I am using a query that looks like this:  SELECT *  FROM `words` WHERE `word` = 'abád'   The query result gives both words:  abad abád  Is there a way to indicate that I only want MySQL to find the accented word? I want the query to only return    abád    I have also tried this query:  SELECT *  FROM `words` WHERE BINARY `word` = 'abád'   It gives me no results. Thank you for the help. Let $f : U \to V$ and $g : V \to W$ be linear transformations on the vector spaces $U$, $V$, and $W$. Supposedly,  $$ \dim(\ker(g \circ f)) = \dim(\ker(f)) + \dim(\ker(g) \cap \operatorname{im}(f)). $$  How might I go about proving that?    (Attempt:) The $\dim(\ker(g)\cap\operatorname{im}(f))$ term suggests to me that I should define a vector space $V' = \ker(g) + \operatorname{im}(f)$ to invoke the theorem that  $$ \dim(V') = \dim(\ker(g)) + \dim(\operatorname{im}(f)) - \dim(\ker(g) \cap \operatorname{im}(f)), $$  but I don't really see where to go from there. Call to a member function prepare() on a non-object PHP Help Prove that if $n \in \mathbb{N}$, then $\sum_{d|n}{(d(n))^3}=(\sum_{d|n}{d(n)})^2$ where $d(n)$ is the divisor function. Is there any way to get real-time compilation for LaTeX? I would really love to have a software or tool which provided real time compilation of my LaTeX document (to be able to see the final pdf or dvi document as I type the latex code), especially for when I am drawing pictures using tikZ. So far, I know of two things, but none of them work for me. They are:   : This is only for tikZ, which would be perfect for me, but unfortunately as far as I know it only works with Ubuntu and Debian, and I use Mac OS X (so I have never actually tried it, though I did dig a lot to see whether I would be able to install on my mac and from what I see it is really what I want - I am even considering installing Ubuntu just to use it!). : This is a minor mode for Emacs. It was extremely hard to get it to work on the mac (see my quest ), and it is not all that fast. The speed is not all that big of a deal for me, but the fact that it does not work with tikZ pictures is (the nodes all collapse in one point so that the words are all one on the top of the other).   So my question is: is there a software ideally like KtikZ or another type of editor which provides real-time compilation and that I can use on my mac? I guess if you know of a Windows/Linux option I would also like to know, and the same for a way to set up a script to get the document compiled every 5 seconds or so (I am sure I have seen this written somewhere, but I don't know whether I can do it with a mac or whether it is editor/pdf viewer dependent), but what I really want is a software/tool which would work with a mac.  To be clear, I am not after something like LyX, that is, I am not after a WYSIWYG-type thing, but rather something where I can type real LaTeX and see my code, but have at the same time another window showing me the pdf (or dvi) file compiled. How to "shuffle" an array? What does !function ($) { $(function(){ }) }(window.jQuery) do? Solve $x^2+5x+6 \equiv 187 \mod 187$ Solution $$x^2+5x+6 \equiv 187 \mod 187$$ $$ (x+\frac{5}{2})^2 \equiv \frac{1}{4}$$ $$ 4(x+\frac{5}{2})^2 \equiv 1$$ $$ y:= x+\frac{5}{2} $$ $$ 4y^2 \equiv 1 \mod 11 \wedge 4y^2 \equiv 1 \mod 17  $$ $$ ( 2y \equiv 1 \mod 11 \vee 2y \equiv 10 \mod 11 ) \wedge ( 2y \equiv 1 \mod 17  \vee 2y \equiv 13 \mod 17)  $$ $$ ( y \equiv 6 \mod 11 \vee y \equiv 5 \mod 11 ) \wedge ( y \equiv 9 \mod 17  \vee y \equiv 15 \mod 17)  $$ Combining that from CRT I got: $$ y \in \left\{49, 60,83,94 \right\} $$ and for example: $$ x+\frac{5}{2}  \equiv 94 \mod 187$$ $$ 2x  \equiv 183 \mod 187$$ some calculus and get... $$x \equiv 185 $$ And the same thing for each other case. Question Is there any faster (or smarter) way to solve equations like that? Temporarily deleted answer missing from asker's inbox I  and . This answer does not appear in my inbox. I never saw a notification, and as of now the latest notification from CS is  {"SiteUrl":"cs.stackexchange.com","FaviconUrl":"https://cs.stackexchange.com/favicon.ico","CreationDate":"17 hours ago","Url":"https://cs.stackexchange.com/questions/641/language-of-the-graph-of-an-affine-function/667#667","Title":"Language of the graph of an affine function","Summary":"Hint:\n\n$53 \\cdot 100000010000000000 + 4 = 5300000530000000004$.\n\nSketch:\n\n\n  ! Assume $a$ has $n$...","Type":"answers","Count":3,"IsNew":false}   This answer was posted, deleted and undeleted while I wasn't online. I suppose the deletion removed the entry from my inbox. Then the undeletion should have recreated an entry but didn't. Keep items in inventory on death in Minecraft Probability of rolling 3 mutually exclusive dice Unary operator expected #!/bin/bash  SUBJECT="WARNING CPU USAGE HIGH" TO=gmail id MESSAGE=/tmp/messages echo "#######################" &gt; $MESSAGE echo "CPU statistics as follows.." &gt;&gt; $MESSAGE mpstat &gt;&gt; $MESSAGE echo "#######################" &gt;&gt; $MESSAGE CPU_USAGE=$(top -b -n1 | awk '/^Cpu/ {print $2}' | cut -d. -f1) [ $CPU_USAGE -gt 85 ] &amp;&amp; mail -s "$SUBJECT" "$TO" &lt; $MESSAGE`   ./cpu.sh: line 11: [: -gt: unary operator expected What might be the reason Unsure whether to use "enquire" or "inquire" High-end compact camera with swivel screen and running on AA batteries I'm looking for a new compact camera that:   has a  is small enough to be mountable on a  and, runs on AA batteries. good flexibility   Requirement (3) stems from the fact that I may be hiking in the wild for weeks on an end, with no opportunity to change a Lithium-Ion battery. If another solution permits me to take thousands rather than hundreds photographs on full charge, I may consider that as well.  Additionally, it would be nice (but not essential) to have:   the ability to handle high dynamic range a viewfinder physical buttons — I live in a cold climate, and don't like to use touch-screens   The upper price range for compact models is still good for me, and I don't mind a pricerange of €400–€800 (but I don't mind cheaper either, if still of good quality).  I've been the happy user of several models in the , but now my PowerShot A650 IS has died. Starting from , it seems requirement (3) kills of many cameras: the , (might also fail (2)), the , the , the ... Although enough models meet requirements (1), (2), and (4), as well as the (non-essential) additional features I listed, it seems in the past 5 years, cameras have moved away from using AA batteries. What camera models still exist that meet my requirements?    Last photograph taken with my Canon PowerShot A650 IS, taking on Christmas Day 2012 in the Caldera de Taburiente, La Palma, Canary Islands, Spain. I can easily find files with given string in name:  me@comp:/usr/local/hydra/hydra-7.4.2$ find -D stat -name "*hack*" ./hack881663129.txt ./hack881663129_7.txt ./hack881663129_5.txt ./hack881663129_4.txt ./hack881663129_4_7.txt ./hack881663129_6.txt ./hack881663129_1_6.txt ./hack881663129_8.txt   How can I also print file details, like size, date of creation etc.? I'm batch processing a folder of image to a uniform width with GraphicsMagick (though I assume the same would apply to ImageMagick):  $ gm convert -resize 1000x in.jpg out.jpg   But when I inspect some of the images, I get 999px instead of 1000px.  $ gm identify -verbose out.jpg  ==&gt; Image: out.jpg ==&gt; Format: JPEG (Joint Photographic Experts Group JFIF format ==&gt;   Geometry: 999x591   Is there a way to enforce the right width? I assume it's doing some estimation to preserve aspect ratios. pyvenv vs venv vs python-virtualenv vs virtualenv and python 3 malikarumi@Tetouan2:~$ pip install virtualenv     Collecting virtualenv     Downloading virtualenv-12.0.7-py2.py3-none-any.whl (1.8MB)     100% |################################| 1.8MB 330kB/s   malikarumi@Tetouan2:~$ pip freeze     (a lot of stuff, but not virtualenv)  malikarumi@Tetouan2:~$ virtualenv testvenv1     The program 'virtualenv' is currently not installed. You can install it by typing:     sudo apt-get install python-virtualenv   What is going on here? is python-virtualenv == pyvenv? Isn't that still broken? Does original virtualenv still work with python? if venv (too many name variations!!!) is part of the standard library, , why am I being told to install it?  And when I did try to install it, I got:  malikarumi@Tetouan2:~$ sudo apt-get install python-virtualenv     Reading package lists... Done     Building dependency tree            Reading state information... Done     The following extra packages will be installed:     python-colorama python-distlib python-html5lib python-pip python-setuptools   At which point I aborted, because installing python3-pip just before that had given me   Setting up python3-setuptools (3.3-1ubuntu1) ... Setting up python3-pip (1.5.4-1) ...   And I wasn't sure if the extra packages would overwrite them or go onto python 2.7.  I read that python 3 is supposed to be the default going forward. Since both 2.7 and 3.4 are there, and have separate commands, how do I not only make sure Python 3 is my default, but that anything I install goes there and is used by it instead of 2.7?   BTW, I tried sudo apt-get python3-virtualenv and got: E: Unable to locate package python3-virtualenv Is it possible to search every field of every table for a particular value in Oracle?  There are hundreds of tables with thousands of rows in some tables so I know this could take a very long time to query. But the only thing I know is that a value for the field I would like to query against is 1/22/2008P09RR8. &lt;  I've tried using this statement below to find an appropriate column based on what I think it should be named but it returned no results.  SELECT * from dba_objects  WHERE object_name like '%DTN%'   There is absolutely no documentation on this database and I have no idea where this field is being pulled from.  Any thoughts?