My ~/Library folder has gotten very large. Inside this ~/Library folder is a folder name Caches. This folder 5.5 GB. Can this Caches folder be trashed.
Is it safe to delete the file Caches, in the Library of the Mac OS X Hard Drive?  It's a pretty big file, 3.56 GB, Caches reminds me of logs i don't need or browser cookies.   Is it safe to delete the folder "Caches"?
Real Numbers Raised to Imaginary Powers? What is a real number to the power of an imaginary or complex number? e.g. 3i. I have searched through sites about imaginary numbers, but none seem to say anything about imaginary indices. Examples and explanations would be appreciated. What purpose does downvoting questions serve? I'm curious why PCBs have one square pad in row for 0.1" headers. What is purpose of putting one square pad? What it indicates? Can you push more amps through square pad than round? Delete questions/answers in iOS app There is currently no way to delete questions or answers in the iOS app, even with the required Trusted User privilege. We can edit and vote, but not delete.  Can this option please be added to the app? How do I back up AWS S3 and EBS to a non-Amazon provider? We've centered most of our operations on AWS, and love the ease of use there. However, every once in a while, the paranoid side of my brain wonders ?  Within the Amazon ecosystem, we have a pretty good backup plan: We keep most static data in S3. EBS volumes are snapshotted nightly. However, true paranoia would mean backing up to a provider outside the Amazon ecosystem. How do you handle doing this? I'm especially interested in backing up EBS snapshots and S3 contents. Bonus points for backing up RDS. Awesome symbols and characters in a bash prompt I just ran across a screenshot of someone's terminal:    Is there a list of all of the characters which can be used in a Bash prompt, or can someone get me the character for the star and the right arrow? Does $f(x)$ is continuous and $f = 0$ a.e. imply $f=0$ everywhere? I wanna prove that   "if $f: \mathbb{R}^n \to \mathbb{R}$ is continuous and satisfies $f=0$ almost everywhere (in the sense of Lebesgue measure), then, $f=0$ everywhere."  I am confident that the statement is true, but stuck with the proof. Also, is the statement true if the domain $\mathbb{R}^n$ is restricted to $\Omega \subseteq \mathbb{R}^n$ that contains a neighborhood of the origin "$0$"? Quantum teleportation - the alternative to destroying atoms Can't you just disassemble, not destroy our atoms and transport them to another teleporter via networking or telecoms?  This is my thinking of how to keep the same person, not an exact copy of him/her, alive when teleporting.  Please answer to tell me if it's possible or not. Vertically center contents of table cell Consider the following example:  \documentclass{article}  \usepackage{pstricks-add} \usepackage{booktabs}   \psset{   unit = 0.7,   dimen = middle,   ticks = none,   labels = none }  \newcommand*\pind[2]{%  \psset{linecolor = red}   \psline(#1,0)(#1,#2)   \psline(!#1 0.2 sub #2)(!#1 0.2 add #2) } \newcommand*\enkeltobservationer{%   \begin{pspicture}(-0.5,-0.2)(5.9,6.3)     \psaxes{-&gt;}(0,0)(-0.2,-0.2)(5.4,5.5)[\small{$x$},0][\small{$h(x)$},90]     \pind{0.5}{3}     \pind{1.0}{5}     \pind{1.5}{3}     \pind{2.0}{3}     \pind{2.5}{4}     \pind{3.0}{2}     \pind{3.5}{5}     \pind{4.0}{1}     \pind{4.5}{4}     \pind{5.0}{2}   \end{pspicture}% } \newcommand*\soejle[2]{%  \psset{fillcolor = red}   \psframe[fillstyle = solid](!#1 0.5 sub 0)(#1,#2) } \newcommand*\intervaller{%   \begin{pspicture}(-0.5,-0.2)(5.9,6.3)     \psaxes{-&gt;}(0,0)(-0.2,-0.2)(5.4,5.5)[\small{$x$},0][\small{$h(x)$},90]     \soejle{0.5}{3}     \soejle{1.0}{5}     \soejle{1.5}{3}     \soejle{2.0}{3}     \soejle{2.5}{4}     \soejle{3.0}{2}     \soejle{3.5}{5}     \soejle{4.0}{1}     \soejle{4.5}{4}     \soejle{5.0}{2}   \end{pspicture}% }   \begin{document}  \begin{table}  \centering   \begin{tabular}{l c c c}     \toprule      Begreb               &amp;      Forkortelse          &amp;      Enkeltobservationer  &amp;      Intervaller            \\      \midrule      Hyppighed            &amp;      $h(x)$               &amp;      \enkeltobservationer &amp;      \intervaller           \\     \bottomrule    \end{tabular} \end{table}  \end{document}     I would like to vertically center Hyppighed and $h(x)$ relative to the figures; how do I do that? Why doesn't this perpetual motion machine using the buoyant force work? List of interesting math videos / documentaries This is an offshoot of the question on . I have listed a few videos/documentaries I have seen. I would appreciate if people could add on to this list.  $1.$ Story of maths      $2.$ Dangerous Knowledge    $3.$   $4.$   $5.$ I have a manuscript that is under review in a major journal which is a main result out of a few recent years of my research. When applying for faculty positions, I would like to send the draft as a part of my writing sample. But since the material is not yet published, I am not sure if it is a good idea.  What are the foreseeable disadvantages of sending an article in review to the faculty search committee?  My area is neuroscience / biomedical engineering.  Update: The paper got into a high-profile journal, and I got a job at a different place which did not require a writing sample. biblatex and autonum don't work together biblatex and autonum don't seem to work together in the newest version. Consider the following MWE:  \documentclass{article} \usepackage[utf8]{inputenc} \usepackage[backend=biber]{biblatex} \usepackage{autonum}  \begin{document}  \end{document}   I get the following error messages:  0 File ended while scanning use of \ettl@for@do1 0 pdflatex: \pdfmatch: repetition-operator operand invalid pdfTeX warning: pdflatex: \pdfmatch: repetition-operator operand invalid)Runaway argument?{{\blx@bibdata@i {\blx@tempb }}\blx@bibfiles \eappto \blx@tempa {\blx@xml@comme   After commenting out either biblatex or autonum, the errors disappear. Adding Image to a Polygon Plotting complex numbers as an Argand Diagram How to evaluate $\int_{0}^{+\infty}\exp(-ax^2-\frac b{x^2})\,dx$ for $a,b>0$ Can't install wine from winehq.org on Ubuntu (actually Lubuntu) 18.04 LTS I have followed all the instructions on .  In particular, I have run the following commands: sudo dpkg --add-architecture i386  wget -nc https://dl.winehq.org/wine-builds/winehq.key sudo apt-key add winehq.key sudo apt-add-repository 'deb https://dl.winehq.org/wine-builds/ubuntu/ bionic main'   The first three of the above seemed to work fine.  However, the last command gives me the following error: Some packages could not be installed. This may mean that you have requested an impossible situation or if you are using the unstable distribution that some required packages have not yet been created or been moved out of Incoming. The following information may help to resolve the situation:  The following packages have unmet dependencies:  winehq-stable : Depends: wine-stable (= 5.0.0~bionic) E: Unable to correct problems, you have held broken packages.  I'm running Lubuntu 18.04.3 on a USB live stick.  (However, if I remember correctly, a couple days ago I got the exact same error on a normal hard disk Lubuntu 18.04.3 installation.) I've read that a lot of people get similar errors.  Unfortunately I haven't found any solutions online that worked. Any help would be much appreciated.  Thanks! EDIT:  Thanks for the comments and suggestions everyone.  I'll try them out later today. In the mean time, here's something I don't understand.  Ubuntu 18.04 has been around for almost two years now.  In all that time, surely somebody has successfully installed wine, right?  What did they do to get it working? How do I correct an HSA distribution when I was refunded by a health provider? Are the leftovers from making stock good for anything? Having made stock and strained it, can the meat and vegetables boiled up in the stock be used for anything, or should they go in the bin? How does the Deposit-User work? On SU there's the  which is suspended for quite some time. And I also know that it is used for spammers, but how does it work? Does the account of the spammer get 'linked' to Deposit? Do the answers get moved there?