Fix a real number $1\leq p&lt;\infty$.   Is it true that if functions $f\in L^p(\mathbb{R})$ and $f_1,f_2,\ldots\in L^p(\mathbb{R})$ are such that $\|f_n-f\|_p\rightarrow 0$ as $n\rightarrow \infty$, then $f_n(y)\rightarrow f(y)$ as $n\rightarrow\infty$ for almost every $y\in\mathbb{R}$?  It really shouldn't be true, but what would be a counterexample?
If I know $\| f_n - f \|_{L^p(\mathbb{R})} \to 0$ as $n \to \infty$, do I know that $\lim_{n \to \infty}f_n(x) = f(x)$ for almost every $x$?
When I wake the laptop from the sleep I need to get the VPN state as I left it (turned on). Can't find the setting of autoconnect in VPN settings... Need some easy way to ask the system to autoconnect the VPN when the internet is available.  Edit based on comments:  Ubuntu 18.04 has no option to Always connect to VPN when using using this connection. I have several files that I ftp each hour.  The receiving system needs to have some sort of identifier that they came from the same batch, so I would like to append a timestamp to the filename.  That alone is fairly easy, but since I want each file to have the same timestamp (so it can serve as the batch identifier), I cannot figure out how to do this.  So, I have:  file1.txt file2.txt file3.txt   And I want to have:  file1_20141110184303.txt file2_20141110184303.txt file3_20141110184303.txt   Any use of the date +%Y%m%d%H%M%S after the first use will obviously result in a different values in seconds, so I would like to have the first timestamp appended to the remaining files. How do I prevent widow/orphan lines? Solve $\lim_{x\to 0} \frac{\sin x-x}{x^3}$ I'm trying to solve this limit     $$\lim_{x\to 0} \frac{\sin x-x}{x^3}$$   Solving using L'hopital rule, we have:  $$\lim_{x\to 0} \frac{\sin x-x}{x^3}= \lim_{x\to 0} \frac{\cos x-1}{3x^2}=\lim_{x\to 0} \frac{-\sin x}{6x}=\lim_{x\to 0} \frac{-\cos x}{6}=-\frac{1}{6}.$$  Am I right?  I'm trying to solve this using change of variables, I need help.  Thanks  EDIT  I didn't understand the answer and the commentaries, I'm looking for an answer using change of variables. Multiple citations: citation order different to bibliography order I wish to cite several sources at once and sort my in-text citations in a different manner to how they appear in my bibliography. I want my citations to be sorted by year and my bibliography to be sorted by author. I am using BibLaTeX with Biber. I used  to achieve this with TeX Live 2015 but since upgrading to 2016 (as well as upgrading all my packages) this does not work.  Below is a minimal working example (with a second bibliography for illustrative purposes). I wish for the citations to be sorted ascending by year (2001, 2002, 2003) and the bibliographies to be sorted alphabetically (a, b, c) and descending by year (2003, 2002, 2001) respectively, but below is an image of the result; the bibliographies stay true to the desired sorting but the citations in-text are sorted descending by year.  If I remove the last \newrefcontext then everything (citations and bibliographies) is sorted alphabetically, and if I remove both \newrefcontexts then everything is sorted ascending by year (which was the option specified when originally calling BibLaTeX). It seems that the citations follow the last sorting referenced; ynt as per BibLaTeX options when both \newrefcontexts are removed or else whatever sorting is specified in the last \newrefcontext.  I am compiling in order pdflatex, biber, pdflatex, pdflatex and am on MacTeX.  It seems this would have worked as desired in TeX Live 2015 so is this a bug or has something changed which requires the citation sorting to be set in some other way?  \documentclass{article}  \usepackage[            backend=biber,            style=authoryear,            sorting=ynt,            sortcites,            ]{biblatex}  \usepackage{filecontents} \begin{filecontents}{lib.bib} @article{test1,   author = {b},   title = {b},   year=2003, } @article{test2,   author = {c},   title = {c},   year=2001, } @article{test3,   author = {a},   title = {a},   year=2002, } \end{filecontents}  \addbibresource{lib.bib}  \begin{document}      Hello World! \parencite{test1,test2,test3}      \newrefcontext[sorting=nyt]     \printbibliography      \newrefcontext[sorting=ydnt]     \printbibliography  \end{document}     Edit  I have a workaround but it's super crap: Typeset the document with global sorting=ynt, copy the pdf to another file, then typeset the document with global sorting=nyt; using a PDF editing tool (Apple's Preview suffices) cut the pages containing the bibliography with the desired sorting from one PDF and paste into the other. As I said super crap. I'm not sure if I'd even do this as I'd feel dirty, but it's a workaround nonetheless.  If a solution does not exist or this is a bug without a patch, then what would be similar but much better would be some kind of package (which probably doesn't exist) which only changes certain pages at a time within the PDF (while still actually 'compiling' the whole document so that all the citations are done). It might look something like:  % document preamble % ...  \usepackage{onlychange} \onlychangerange{10,12}  % Bibliography found on pages 10--12 % On next compilation will typeset all pages except 10--12  % ...   It's a long shot but maybe someone knows of such a package or this rambling has inspired an actual solution. What is the best way to convert seconds into (Hour:Minutes:Seconds:Milliseconds) time? No processing tools in QGIS 3.2 Suppress Fancy header and footer on first page only. I was caught cheating on an exam, how can I minimize the damage? I got caught cheating in a two-hour engineering exam consisting of 100 multiple choice questions which was done online through the  e-learning software. I feel like my life is almost over.  Having not studied well and having no time to study, I decided to cheat. I know there are no excuses for cheating. Before the exam I dug up research about moodle exams, and it turned out you can take the exam anywhere you want to as long as you have the quiz password. Taking advantage of this, I went up to my engineering library and asked a close friend who was taking the exam to send me the quiz password before he starts.  What I had prepared:   Calculator (was not allowed during the quiz). Printed material (consisted of more than 200 pages). Google search engine (on a laptop ready to help). Whatsapp (to ask questions for a friend who took the quiz last year).   As I sat down, I did the first 50 questions, suddenly the quiz froze and moodle told me:      you are not allowed to take the exam from this location.   While I was leaving, one instructor responsible for the course (there are 5) came and found me. She accused me of cheating, took my mobile and made come with her to a huge office where two instructors searched all my mobile (took the name of my friend who gave me the password), and started talking to me, asking for all details of this crime. They took and confiscated my phone and looked at everything: Whatsapp conversations, all my emails, and images. The instructor took the mobile from my hand without asking me and kept it with her. It seems that the instructors are going to report me as well as my friend who sent me the password for the exam.  The university's Student Code Conduct said that cheating will result in one of the following: a Dean's Warning, Suspension, or Expulsion. If any of that happens, my future is over. A dean's warning will cancel my financial aid. A suspension would be for at least two years, and coming back would require a lot of work. An expulsion will be definite.  I've learned the lesson about cheating, now how can I fix this? How can I prevent the five instructors from reporting me? It's obvious that I should speak to them, but what should I say? What can I do? My future is almost over, but many of you are teachers and instructors here, what can I do to fix this?    EDIT: Wow, it has been almost 3 years. I would like to update on how I dealt with the situation.   Lesson: It was obvious to never ever cheat under any circumstances, and it was not whether you'd get caught or not.    Consequences: I received a Dean's warning but the financial aid wasn't revoked. However, I couldn't stay in the department as engineering was not for me and I was even ashamed to stay in the university.  What happened next: I transferred to an ABET-accredited Computer Science institution and I graduated with distinction in 2.5 years. It was extremely stressful as I had taken 6 major courses (18 credits) in one semester, but I had to do it.  Future plans: I'm going for an MSc in Computer Science in St Andrews next year. Issue when promoting a second server as domain on R2 2008 I'm in an odd situation here.  I've upgraded my network to a 2008 domain from a 2003 with out any issue, this works fine and all the FSMO are in one DC,  I was about to install a second domain on a 2008R2 and this error is coming up again and again.  I The problem is I keep getting an area telling me that I need to run adprep /domainPrep /forestPrep, but when I run it on the first DC, it tells me this has already been run and updated and it is aborted. Does anyone have any ideas on why I can't add a Server 2008 machine as a domain controller? I’m currently in the process of reconsidering how I do bibliography management. It seems to be most sensible to use biblatex with biber. I’d like to know what tools are available on which I can build a solution that works for me. I’m interested in everything from full-blown bibliography management suites to pretty-printers for .bib files; both as traditional programs and online services.  Tools in question should fulfill the following criteria:   Unicode support. Support for the additional entry types and fields that biblatex supports. Support for biber’s improved cross-referencing. I would like to use pgfplots to create a figure where I plot curves that have a recursive formula. I tried a very simple case that uses the declare function command to see whether this is possible, and I can't compile (TeX capacity exceeded). Is it even possible to do this?  \documentclass{standalone}  \usepackage{pgfplots}  \begin{document}  \begin{tikzpicture}[   declare function={test(\p)=ifthenelse(\p&gt;1, test(\p-1), 0.5);}, ]     \begin{axis}[]     % use TeX as calculator:     \addplot [mark=none] {x};     \addplot [mark=none] {test(0)};     \end{axis} \end{tikzpicture}  \end{document} Editing default custom object home screen I would like to add a custom button (URL to Flow) to my default home page for my custom object. Currently, I have a default "New" button to create a new record (see attached screen shot). I'm wanting to add my Flow custom button to this page. Is there a way to do this?  Cheers, Sean. Well, I'm trying to find the Thevenin equivalent of this circuit:    As you can see, the only current source is a dependent source. However, the control variable is in a wire where, if nothing is connected between A and B, is \$i_\Delta = 0\$ A, and that makes the source 0 A. However, if I connect an impedance \$Z\$ to the circuit, I will have current, and a Thevenin equivalent. I don't know how to solve this problem. I've bee searching here for a while, and I found this:   . I can see how is solved that case. However, I still don't know how to apply that method to my circuit.  Any help about finding the Thevenin equivalent is appreciated n.n How to find (and delete) duplicate files I have a largish music collection and there are some duplicates in there. Is there any way to find duplicate files. At a minimum by doing a hash and seeing if two files have the same hash.  Bonus points for also finding files with the same name apart from the extension - I think I have some songs with both mp3 and ogg format versions.  I'm happy using the command line if that is the easiest way. Is there a way to make an Oracle query behave like it contains a MySQL limit clause? In MySQL, I can do this: select *  from sometable order by name limit 20,10  to get the 21st to the 30th rows (skip the first 20, give the next 10). The rows are selected after the order by, so it really starts on the 20th name alphabetically. In Oracle, the only thing people mention is the rownum pseudo-column, but it is evaluated before order by, which means this: select *  from sometable where rownum &lt;= 10 order by name  will return a random set of ten rows ordered by name, which is not usually what I want. It also doesn't allow for specifying an offset. How can I get around giving my mobile phone number to Google? When I want to register an account with Gmail now, it says "Google will send a text message containing a verification code to your mobile phone."  I don't want to give Google my mobile phone number!!  How do I get around this? Is propagation of uncertainties linear? Can I ever play Undertale again normally? The ending I got is :      the genocide   When I reset my file, my past choices still take effect. I want to start a clean run.  I don't want to buy the game again, what do I do? It is written everywhere that gravity is curvature of spacetime caused by the mass of the objects or something to the same effect. This raises a question with me: why isn't spacetime curved due to other forces or aspects of bodies?  Why isn't it that there are curvatures related to the charge of a body or the spin of particles or any other characteristics?