Cardinality of a finite $\sigma$-algebra
Number of elements in a finite $\sigma$-algebra
Cat5e cable has a rated current of 0.577A (). I am wondering if this is voltage dependent? I am almost certain it is not, but if it is, something might blow up. Say I need to get 2A at 5V across the cable. I boost it to 24V / 0.5A, send it across the wire, and step it down to back to 5V and a bit under 2A. Would that work? If the cable is proper Cat5e could I do this trick with up to 100V as long as I don't exceed 0.577A?   I am worried if the cable heats up at near maximum rated current, for instance, the safe voltage could drop as the insulation softens up or something. I will certainly test this, but I wonder if there is some rule that I don't know about. I try to press the F6 key and in the YouTube tutorials those who make the video pressing them all go well, but not me :( How do I install HP P1102W printer driver Looking for an appropriate English name to replace my Chinese name Background: I am Chinese, and after living abroad from China for several years, I realize that I need an English name anyway. I’ve seen too many confused faces looking at my Chinese name. My Chinese Name: I am male, my Chinese first name is (IPA): /ʃəʊ/-/dəʊ/, and my family name is: /dʒi/. (Check ipa-reader.xyz if not clear.) Any advice about what could be a good idea of a first name, if the last name sounds like &quot;G&quot;? Something about myself: I'm a introvert, nerdy person. I don't like social, small talk, public area. I enjoy programming, writing, arguing. Physically I am short, slim, with a huge glasses. How does Azkaban's management work? I was under the impression that only Dementors are guarding the prison of Azkaban and are only there to keep the inmates on their cells, though after reading again the following passage it put me into thoughts:     'One night, when (the Dementors) opened my door to bring food, I   slipped past them as a dog. It's so much harder for them to sense   animal emotions that they were confused ... I was thin enough to slip   through the bars. I swam as a dog back to the mainland. I journeyed   north and slipped into the Hogwarts grounds as a dog. I've been living   in the Forest ever since.'       Prisoner of Azkaban; chapter 'The Servant of Lord Voldemort'   So Sirius says that he escaped from his cell when the Dementors brought him food.... I say what??? Dementors dont obey anyone, not even the commands of the Ministry of Magic.  So the actual question is, How is the Azkaban prison managed? e.g. who cooks the food? the inmates have blankets, who is washing these blankets etc etc How can I convert an integer into its verbal representation? Is there a library or a class/function that I can use to convert an integer to it's verbal representation?  Example input:     4,567,788`   Example output:     Four million, Five hundred sixty-seven thousand, seven hundred eighty-eight Find the representing matrix with the respect to the standard basis Let $\Bbb R^2$ be a finite-dimensional vector space and $T:\mathbb{R}^2\to \mathbb{R}^2$ a linear operator. Let $[T]_B =  \begin {bmatrix}0 &amp; 0 \\-1 &amp; 1 \end{bmatrix} $ be a matrix representation of $T$ in the basis $B= (1,1),(-1,0)$.   How can I find the matrix $[T]_E$ where $E$ is the standard basis $(1,0),(0,1)$ if the transformation isn't given in the question?  Thanks,  Alan Free way to clone HDD to SSD? Is there a free way to clone a full Windows 7 installation from HDD to SSD? (The free part is important, I know I can pay for Acronis True Image.)      SSDs are usually much smaller than HDDs which complicates matters. For instance, I have about 50GB data, my new SSD is 80GB but I still can't use Windows clone/restore system if my HDD is something like 300GB.  Therefore, I'm looking for a third party tool that will be able to:   Create a clone of my C: partition Store it onto an external USB drive Boot from some rescue / restore CD Load the image onto the new SSD   Acronis True Image seems like a tool that should support this but it's a paid-for software and the trial version cannot create clones. Acronis Migrate Easy is a fully functional tria for 15 days but need both the HDD and SSD connected at the same time which is a bit of a problem for me as a laptop user.  P.S. I almost got there combining Windows image backup combined with Acronis True Image restore CD (which can load .vhd's) but was not able to boot as some boot information were probably lost and could not be repaired using the Win7 installation DVD. I want to assign the result of an expression (i.e., the output from a command) to a variable and then manipulate it – for example, concatenate it with a string, then echo it.  Here's what I've got: #!/bin/bash cd ~/Desktop; thefile= ls -t -U | grep -m 1 &quot;Screen Shot&quot;; echo &quot;Most recent screenshot is: &quot;$thefile;  But that outputs: Screen Shot 2011-07-03 at 1.55.43 PM.png Most recent screenshot is:   So, it looks like that isn't getting assigned to $thefile, and is being printed as it's executed. What am I missing? Preserving signatures of decorated functions Unable to upgrade Windows 10 edition from Home to Pro I have a Lenovo laptop which upgraded from Windows 8.1 Home to Windows 10 Home.  I have a (legitimate) Windows 10 Pro key which I ran through the "Change Product Key" wizard.  After a reboot I get an error which states "We couldn't upgrade your edition" and asks me to try again or seek help from my system administrator (me!) or Microsoft.  There is nothing in the event logs except Info entries in the Setup log stating it failed to change the installed state to Pro Edition with a hex error code (I don't have access to the laptop right now, I will update later with the full log details)  Googling the hex error code led me to a Windows 7 KB Article regarding Windows Update failure due to locked files. The article stepped through using MSCONFIG to perform a clean boot which I did, but still got the error.  Any pointers on how to upgrade this laptop? Or will I have to get the sledgehammer out and do a clean install? I am writing a cover letter and CV using moderncv. Everything works fine so far, but the text in the cover letter is not justified. I think it is good that it is not hyphenated, but it would look much nicer if the text was justified.  Here is a minimal example:  \documentclass{moderncv} \moderncvstyle{classic}  \usepackage{lipsum} % just for dummy text  \firstname{John} \familyname{Doe}  \begin{document} \recipient{Prof.\ Dr.\ Foo Bar}{} \opening{Dear Professor Dr.\ Bar,} \closing{Yours sincerely,} \enclosure[Attached]{curriculum vit\ae}  \makelettertitle \lipsum[1] \makeletterclosing  \clearpage  \makecvtitle  \section{Education} \cventry{2009--present}{PhD Student}{here}{and}{there}{} \end{document} How to bond two different internet connections I have two internet connection, each with 4mbps bandwidth. I want to join/merge both of them to get 8mbps speed, both routers have WLAN and LAN capability.    How to Double my speed using two routers? Can I bond two connections in Windows and double my internet connection speed? Any download manager that accepts two internet connection to download? How does Java's PreparedStatement work? What does $\mathbb{R} \setminus S$ mean? What does $\mathbb{R}\setminus S$ mean? I am not getting it what it actually means. I have found it manywhere in real-analysis like in the definition of boundary points of a set. Can anyone tell me what it means really? How does accepting an answer work? What does it mean to accept an answer? How do I accept an answer, and what are the rules? Can I accept my own self-answer? What are the reputation benefits? Which answer should I accept? Should I upvote the accepted answer? What should I do if none of the answers are suitable?      For more information, see "" in the . What Hogwarts classes are taught to two houses at once? We had a rule check tonight that we couldn't answer. On the Pathfinder wiki I could only find info on natural 20s and 1s in regards to attack rolls and saves in combat.  Do they also apply to skill checks? I'd like to modify the names used to typeset some of my document elements. For example, the caption of figure floats should change from "Figure" to "Fig.", and my \tableofcontents sectioning heading shouldn't read "Contents", but "Table of Contents". How can I do that?  \documentclass{article} % \usepackage[english]{babel} \begin{document} \tableofcontents \section{foo} \begin{figure}[h] \centering \rule{1cm}{1cm}% placeholder for graphic \caption{A figure} \end{figure} \end{document} How do I start skype in the system tray?