Why does the size of the datafile on disk not decrease after deleting records from a table?
Truncated 200GB table but disk space not released
I am trying to encrypt an entire USB drive with Truecrypt 7.1a. But as long as there is a partition it will only encrypt that. This will make it appear like the USB is full instead of completely empty, which isnt what Im aiming for.   I've tried with DISKPART, USB Partition Tool, and the built-in storage manager. When I delete all partitions, Windows still assigns the drive a letter and assumes that it has a partition covering the whole space.  I know that it is possible as I have done it with another USB, but I just don't remember how I did it.  Ideas? Limit of $x\left(\left(1 + \frac{1}{x}\right)^x - e\right)$ when $x\to\infty$ I am stuck on how to calculate the following limit: $$\lim_{x\to\infty}x\left(\left(1 + \frac{1}{x}\right)^x - e\right).$$  Definitely, it has to be through l'Hôpital's rule. We know that $\lim_{x\to\infty} (1+(1/x))^x = e$. So, I wrote the above expression as $$\lim_{x\to\infty}\frac{\left(1 + \frac{1}{x}\right)^x - e}{1/x}.$$Both numerator and denominator tend to zero as x tends to infinity. I applied l'Hôpital's rule twice, but I got the limit equal to infinity which is clearly wrong. In the book, it says that the limit should be $-e/2$.  Any help please? Also, in case someone managed to solve it, please tell me which numerator and denominator did you apply your l'Hôpital's rule to in both cases? Thanks a lot  Also, guys can you tell me how to write equations in this forum? Thanks. Winter Bash 2014 Secret Hats Problem  I have various footnotes, which are hyperlinked from the text to the bottom of their respective pages. When I click on the hyperlinks (in the main text), they always take me to the first page of my document. I also have footnotebackref which puts a hyperlink at the footnote to take the reader back to the main body of text and these links for fine.   Edited MWE  After a lot of deletion, I have managed to reduce the document to the following lines. One might say that I have found the problem, since the removal of \usepackage[hang, flushmargin]{footmisc} stops the problem, but I would still like to have non-indented footnotes.  \documentclass{article}  \usepackage[usenames,dvipsnames]{color} \usepackage[colorlinks=true]{hyperref}  \usepackage[hang, flushmargin]{footmisc}         %Problem line. \usepackage{footnotebackref}  \begin{document} \tableofcontents             \newpage                 \section{Section} This is some text\footnote{This is a footnote.}. \end{document} Basic desktop actions are not available on Ubuntu 20.04 Lebesgue measurable but not Borel measurable Number theory lemma - $x^2 \equiv 1 \pmod p$ implies $x\equiv\pm 1\pmod p$ How to concatenate two MP4 files using FFmpeg? $\sum_{n=-\infty}^{\infty}\frac{1}{(n+\alpha)^2}=\frac{\pi^2}{(\sin \pi \alpha)^2}$? Colorize symbols with lstdefinelanguage in latex Hide back faces in 3D View? How do you hide back faces so that you only see faces when its normal is facing the camera? When exporting it for use in a game, the face is rendered in only the direction of its normal, so this would be useful to have something similar. Some questions about Hilbert matrix This Exercise $12$ page $27$ from Hoffman and Kunze's book Linear Algebra.     The result o Example $16$ suggests that perhaps the matrix      $$A = \begin{bmatrix} 1 &amp; \frac{1}{2} &amp; \ldots &amp; \frac{1}{n}\\  \frac{1}{2} &amp; \frac{1}{3} &amp; \ldots &amp; \frac{1}{n+1}\\ \vdots &amp; \vdots &amp;  &amp; \vdots \\ \frac{1}{n} &amp;\frac{1}{n+1} &amp;\ldots &amp;\frac{1}{2n-1} \end{bmatrix}$$      is invertible and $A^{-1}$ has integer entries. Can you prove that?   I will copy their words before that example:      Some people find it less awkward to carry along two sequences of   matrices, one describing the reduction of $A$ to the identity and the   other recording the effect of the same sequence of operations starting   from the identity.   In this , Adrián Barquero says:      If your linear algebra textbook is Kenneth Hoffmann and Ray Kunze's   Linear Algebra book then I was in the same situation you're right now   a few years ago, but I was adviced at the moment that this particular   exercise wasn't as easy as one might expect at first.      The matrix you have is called the Hilbert matrix and the question you   have was already asked a couple of times in math overflow  and   . They have excellent answers so I will just point you to them.   My question: Is it possible answer the question made by the authors without using high techniques?  I am not allowed to use determinants here.  PS: Those answers in MO don't answer the question above. I apologise if this question is unappropriated or if I was unable to understand their answers. Headers of \chapters* take the headers of their previous \chapter When using book.cls and using \chapter* after a \chapter, the header used in \chapter* is wrong. An example is pasted below.   Is there any known workaround for that? I have tried quite some tricks without success.   \documentclass[]{book}  \begin{document}  \chapter{First Chapter} aslkjdf  \chapter*{Unnumbered Chapter} The GNU General Public License is a free, copyleft license for software and other kinds of works.  The licenses for most software and other practical works are designed to take away your freedom to share and change the works. By contrast, the GNU General Public License is intended to guarantee your freedom to share and change all versions of a program--to make sure it remains free software for all its users. We, the Free Software Foundation, use the GNU General Public License for most of our software; it applies also to any other work released this way by its authors. You can apply it to your programs, too.  When we speak of free software, we are referring to freedom, not price. Our General Public Licenses are designed to make sure that you have the freedom to distribute copies of free software (and charge for them if you wish), that you receive source code or can get it if you want it, that you can change the software or use pieces of it in new free programs, and that you know you can do these things.  To protect your rights, we need to prevent others from denying you these rights or asking you to surrender the rights. Therefore, you have certain responsibilities if you distribute copies of the software, or if you modify it: responsibilities to respect the freedom of others.  For example, if you distribute copies of such a program, whether gratis or for a fee, you must pass on to the recipients the same freedoms that you received. You must make sure that they, too, receive or can get the source code. And you must show them these terms so they know their rights.  Developers that use the GNU GPL protect your rights with two steps: (1) assert copyright on the software, and (2) offer you this License giving you legal permission to copy, distribute and/or modify it.  For the developers' and authors' protection, the GPL clearly explains that there is no warranty for this free software. For both users' and authors' sake, the GPL requires that modified versions be marked as changed, so that their problems will not be attributed erroneously to authors of previous versions.  Some devices are designed to deny users access to install or run modified versions of the software inside them, although the manufacturer can do so. This is fundamentally incompatible with the aim of protecting users' freedom to change the software. The systematic pattern of such abuse occurs in the area of products for individuals to use, which is precisely where it is most unacceptable. Therefore, we have designed this version of the GPL to prohibit the practice for those products. If such problems arise substantially in other domains, we stand ready to extend this provision to those domains in future versions of the GPL, as needed to protect the freedom of users.  Finally, every program is threatened constantly by software patents. States should not allow patents to restrict development and use of software on general-purpose computers, but in those that do, we wish to avoid the special danger that patents applied to a free program could make it effectively proprietary. To prevent this, the GPL assures that patents cannot be used to render the program non-free.  The precise terms and conditions for copying, distribution and modification follow.  \end{document} I get these weird characters when I try to print out a vector element! Can a familiar attune and wear or use a magic item? Is it possible for a familiar to attune to and then wear or wield a magic item? When is $(p - 1)! + 1$ a power of $p$? A friend asked me this question:     If $p$ is a prime, prove that $(p - 1)! + 1$ is a power of $p$ if and only if $p = 2, 3$ or $5$.   Clearly one direction is obvious, namely that $p=2,3,5$ implies $(p - 1)! + 1$ is a power of $p$.  The other direction is not clear to me. Since by Wilson's theorem $p$ divides $(p - 1)! + 1$ so we need to show that if there are no other prime factors then $p=2,3,5$. Can someone give me a hint for establishing this?  Thanks How to justify $\phi(n) \ge \sqrt{n}$ If $\phi(n)$ is the Euler-totient function, how can I show that $\phi(n) \ge \sqrt{n}$? Number of moves necessary to solve Rubik's cube by pure chance Suppose, random moves are made to solve Rubik's cube. A move consists of a $90$-degree-rotation of some side. The starting position is also random.   What is $E(X)$, where $X$ is the number of moves until the cube is solved ? How many moves must be made, that the probability that the cube is solved, exceeds $99$% ? I have a simple 2-column layout with a footer that clears both the right and left div in my markup.  My problem is that I can't get the footer to stay at the bottom of the page in all browsers.  It works if the content pushes the footer down, but that's not always the case. When I run  mkdir ../../bin/Release_Linux/Resources   Im getting an error  $ mkdir ../../bin/Release_Linux/Resources mkdir: cannot create directory ‘../../bin/Release_Linux/Resources’: No such file or directory   Or just   mkdir Release_Linux/Resources mkdir: cannot create directory ‘Release_Linux/Resources’: No such file or directory