I'm having troubles with proving that P(N) is equivalent to R, or with other words, that de cardinality is the same. Can someone help me please? Thank you!
I have learnt that the cardinality of the power set of the natural numbers is equal to the cardinality of the real numbers. What is the function that gives the one-to-one correspondence between these two sets?  I have also learnt that there exists no set whose cardinality is strictly between the natural numbers and the real numbers. Is there a proof of this or at least some intuitiveness behind it?
I'm attempting to install Ubuntu 14.04.1 (the only version I have handy) onto my old Compaq Presario R3000 (this Ubuntu was recommended for this computer). The installation has stalled at about 60% and hasn't moved in an hour.  The message at the bottom says: Configuring bcmwl-kernal-source (i386).  I have no experience with Ubuntu (or with Linux, for that matter), coming from a strictly-Windows background). Can anyone offer some advice? Word for obscuring bad or immoral acts with verbiage I have been in many scenarios where people try to obscure/reduce the intensity of a seemingly bad or immoral act using grammar. E.g. Assuming Thomas killed a dog, you could hear something like:     There's essentially nothing wrong about palliating the miserable life   of a despondent being. If there was any issue here, I'd say it's not   consulting a veterinary doctor first but I've come to understand that some people are just straightforward.   How does one react to the above mumbo jumbo? I think there are similar situations also found in law courts. What can this be referred to as? Grammatification, obscure tactics? Careers should allow me to add external (authored but not owned) GitHub projects under "other" ContourPlot and Colorfunction I just renewed my antivirus (Kaspersky's) yesterday. After that, I logged onto Chemistry.SE (which I frequent often) but then I was greeted with this  Which was definitely not how it looked like earlier that morning. I wasn't able to  Open the reputation and badges tab Vote on questions, answers and comments (even answers to MY questions) Comment on questions or answers. 'Favorite' a question Attach tags to a question Post questions  etc., etc. But when I logged on to the Physics and Biology SEs (which I also frequent), the page format hadn't changed, but I still faced the same problems as above. Does anyone know how to fix this? P.S- I'm not a computer/formatting whiz, so you'd have to try avoiding the jargon when helping me out, sorry.... (Also I use Chrome...in case that's important.) Also @Oded recommended checking out the browser developer tools and having a look at the CSS, but as I said, I'm no Software/formatting whiz...so I'm still lost....  On @Shadow Wizard 's advice I've taken a screen shot of the 'error' notification (I had to scroll down to get all 10 'errors' on screen, hence the need for separate screen-shots) No Dropbox top panel icon since update to 18.04 Does the regularization of a divergent infinite sum yield a unique value?  I.e. do different regularization schemes acting on the same infinite sum produce the same exact value independent of the regulator?  What, exactly, do these values mean?  Or what are they?  My understanding is that they are not "convergent" values.  (Sorry in advance for being a physicist. Basically, I acidentally spawned too many ArmorStands due to a wrong code writing , resulting in the game crashing, and wanted to know how to delete those armorstands from the World save folder. They hava names and I belive they also have a scoreboard set, if that helps.   I have already tried to open the world but it crashes, I tried to open a server (Since it worked the last time I tried it) and killing it all from the console but, different from the last time, it crashed before killing them and now I just tried MCedit but it crashes as well. When I start a sentence with words like "someone" or "somebody", I don't know how to choose the right pronoun at the end of the sentence.  Examples:      If anybody asks you about the money, tell (Him - Her - It - Them) that it is in my bank account.     I felt that somebody was in the garden but I did not see (Him - Her - It - Them).     Speaker 1: A friend of mine helped me a lot.      Speaker 2: You should thank (Him - Her - It - Them).     Congratulations on your new baby! What's (His - Her - Its - Their) name?    Those are the cases or situations that I can think of. If you have any other different situations, please let me know. How to use siunitx and tabularx together? I'm using the tabular features of siunitx (for what it is worth: v1.3 since I'm on TexLive 2009) to align numbers in tables, eg.  \begin{tabular}{ p{1.5cm} S S S } bla &amp; 1.23 &amp; 4.5 &amp; 67.89 \tabularnewline \end{tabular}   and that works perfectly fine.  Now I would like to have this table span a specific width, or rather to have several tables to have the same width. For this I would normally use tabularx  \begin{tabularx}{\textwidth}{ p{1.5cm} X X X } bla &amp; 1.23 &amp; 4.5 &amp; 67.89 \tabularnewline \end{tabular}   Now, is there a way to combine the two? To have the number formatting and alignment features of siunitx inside an automatically resizing table? Plotting complex numbers as an Argand Diagram db_update Query Issue I am using ubercart guest checkout module. I am able to submit  the order as guest etc works fine.   After Reviewing the order and submitting it throws me this error   Recoverable fatal error: Argument 2 passed to db_query() must be an array, string given, called in /var/www/html/dev.demo.net/sites/all/modules/ubercart_guest_checkout/uc_guest_checkout.module on line 263 and defined in db_query() (line 2342 of /var/www/html/dev.demo.net/includes/database/database.inc).   This is the query which is causing that issue    db_query('UPDATE {users} SET name = "%s", mail = "%s" WHERE uid = %d', $name, $mail, $account-&gt;uid);   I tried to change this query like this  db_update('users') -&gt;fields(array(     'name' =&gt; $name,     'mail' =&gt; $mail )) -&gt;condition('uid',$account-&gt;uid,'=')        -&gt;execute();   still no luck, it throws me same above specified error.    How can i resolve the query of above one in order to avoid the error. Any suggestions w.r.t query will be nice.Thanks in advance. I have a Python program that uses the "threading" module. Once every second, my program starts a new thread that fetches some data from the web, and stores this data to my hard drive. I would like to use sqlite3 to store these results, but I can't get it to work. The issue seems to be about the following line:  conn = sqlite3.connect("mydatabase.db")    If I put this line of code inside each thread, I get an OperationalError telling me that the database file is locked. I guess this means that another thread has mydatabase.db open through a sqlite3 connection and has locked it. If I put this line of code in the main program and pass the connection object (conn) to each thread, I get a ProgrammingError, saying that SQLite objects created in a thread can only be used in that same thread.   Previously I was storing all my results in CSV files, and did not have any of these file-locking issues. Hopefully this will be possible with sqlite. Any ideas? Marketing Cloud contact builder shows 9 times more contacts Windows 7 sleeping during operations I've got Windows 7 set up on my media box.  It's set to sleep after 30 mins of inactivity, but it doesn't seem to work as advertised. In the last two weeks it's gone to sleep during a file copy operation and again while encoding an MP4 file.  Is there any way to get Windows to realise that it's actually busy? Lightsabers are not made of light, nor have they anything to do with lasers (even if there are people who mistakenly refer to them as "laser swords").   Blaster bolts are also not lasers. They travel significantly slower than light, they travel even slower than ordinary bullets fired by gunpowder. (called slug throwers on the Star Wars universe)  Was there any use of lasers ever presented in the Star Wars universe, either as we use them today, or as weapons?  By laser I mean something which behaves like laser does, even if it's not called by that name in a movie or book. If something is called a laser (in the script or by fans) but clearly doesn't work like a laser (for example, it travels slowly, and in visible blocks) it doesn't count. Can't format my usb drive. I have already tried with mkdosfs and gparted I have a MicroSD card in a USB adapter (which plugs into a USB port on my machine, and acts like a USB flash drive). I was using Unetbootin to make this a bootable USB flash drive with Kubuntu. But I needed to cancel while it was working. So I killed the Unetbootin process from the console.  Since then, I can't format the MicroSD or delete the folder that Kubuntu made. I have also tried mkdosfs, with no success. I can't mount the drive anymore either? What can I do to make this drive usable again?  Trying to create a new partition table in GParted, as described in Eliah Kagan's answer, does not work. It fails with the error message "imposible crear tabla de particiones" ("unable to create a partition table"). More homework help.  Given the function $f:A \to B$.  Let $C$ be a subset of $A$ and let $D$ be a subset of $B$.  Prove that:  $C$ is a subset of $f^{-1}[f(C)]$  So I have to show that every element of $C$ is in the set $f^{-1}[f(C)]$  I know that $f(C)$ is the image of $C$ in $B$ and that $f^{-1}[f(C)]$ is the pre-image of $f(C)$ into $A$.  Where I'm stuck is how to use all of this information to show/prove that $C$ is indeed a subset.    Do I start with an arbitrary element (hey, let's call it $x$) of $C$? and then show that $f^{-1}[f(x)]$ is $x$?  I could use a little direction here...  Thanks. What is Chromatic Aberration? What is Chromatic Aberration? Is it a physical part of the lens, or just an optical illusion? How do you make clothes move along with model how do you make clothes move along with your model? Do you rig the model first and then parent it to the body of the character then click cloth simulation? I am a little bit confused with the process. Thanks for the help.