Which is correct?       Dear Jay, I was contacted by Sue on behalf of herself, John, and you.     or       Dear Jay, I was contacted by Sue on behalf of herself, John, and yourself.
If you are talking on behalf of you and someone else what is the correct usage?  On behalf of my wife and me On behalf of my wife and I On behalf of me and my wife On behalf of myself and my wife On behalf of my wife and myself ...  My understanding is that after that phrase you would carry on talking in first person.
"He was telling me that he is going..." vs. "He told me that he is going..." proper usage of didn't had or didnt have On webmail every user gets error "ERROR: Message not sent. Server replied: 354" while sending mails.   But mails are sent properly and reaches properly.  Can you tell me where is problem, and why it is occurred?  UPDATE: I found in some resources that this is not an error but standard information message. On the other side, it's annoying. Can you tell me if it is a true, and if it is how can I avoid it? Gauge fields and strings: Loop equations How do you reindex an array in PHP but with indexes starting from 1? I have the following array, which I would like to reindex so the keys are reversed (ideally starting at 1):  Current array (edit: the array actually looks like this):  Array (  [2] =&gt; Object     (         [title] =&gt; Section         [linked] =&gt; 1     )  [1] =&gt; Object     (         [title] =&gt; Sub-Section         [linked] =&gt; 1     )  [0] =&gt; Object     (         [title] =&gt; Sub-Sub-Section         [linked] =&gt;      )  )   How it should be:  Array (  [1] =&gt; Object     (         [title] =&gt; Section         [linked] =&gt; 1     )  [2] =&gt; Object     (         [title] =&gt; Sub-Section         [linked] =&gt; 1     )  [3] =&gt; Object     (         [title] =&gt; Sub-Sub-Section         [linked] =&gt;      )  ) Prove that every number ending in a $3$ has a multiple which consists only of ones. I have a really strange situation here. My PC works fine, at least in most cases, but there's one thing that I can't deal with. When I try to copy a file from my pendrive, everything is ok -- I got 16-19M/s , it works pretty well. But when I try to copy something to the same pendrive, my PC freezes. The mouse pointer stops moving for a sec or two, then it moves a little bit and it stops again. When something is playing, for example, in Amarok, the sound acts like a machine gun. The speed jumps from 500K/s to 15M/s, average 8M/s. This occurs only when I'm copying something to a pendrive. When the process of copying is done, everything backs to normal.   I tried everything -- other pendrive, a different USB port on front panel or those ports from back, I even changed the USB pins on motherboard (front panel), but no matter where I put my USB stick, it's always the same. I tried different filesystem -- fat32, ext4. I have no problem with the device on Windows, on my laptop. It has to be my PC or something in my system. I have no idea what to look for. I'm using Debian testing with standalone Openbox. My PC is kind of old -- Pentium D 3GHz, 1GiB of RAM, 1,5TB WD Green disk. If you have something that would help me to solve this issue, I'd be glad to hear that.  I don't know what else info I should provide, but if you need something, just ask, I'll update this post as soon as possible.  I tried to reproduce this problem on ubuntu 13.04 live cd. I mounted my encrypted partition + encrypted swap and connected my pendrive to a usb port. Next I tried to start some apps, and now I have ~820MiB in RAM and about 400MiB in SWAP. There's no problem with copying, no freezing at all, everything is as it should be. So, it looks like it's a fault of the system, but where exactly? What would cause such a weird behavior? Now that Apple has removed the ability to access the iOS App Store in iTunes 12.7 on Mac/Windows , I can't find any way to download an IPA file from the App Store. As a note, I'm not worried about installing the IPA files (see ), I just need the IPA files as a developer looking for some basic information on the apps. I'd like to solve this without resorting to jailbreaking as my devices are already updated to iOS 10.3.3.  Here are things that I've tried that didn't work:   Extract from backup: The apps seem no longer to be backed up. Save to Mac from iPhone management software: I believe this has been blocked by Apple works as far back as iOS 8.3. Figuring out how the file is downloaded via proxy connection: At least for me, this looks too complicated to do because you have to authenticate with your Apple ID and I'm sure that by now, Apple even requires the phone to be authenticated in some way. Not sure if it would even be possible in the same way that you see all those Android APK download services out there.   At least for now, it looks to me like maybe the only way is to hold onto an older version of iTunes for as long as that works. Show that if $n>2$, then $(n!)^2>n^n$. Show that if $n&gt;2$, then $(n!)^2&gt;n^n$.     My work: I tried to apply induction. So, at the induction step, I need to prove, $n^n&gt;(n+1)^{n-1}$ Here, I tried to use induction again without any luck. I also took log of both sides, but I did not get anything. Please help! In plain English, how does casting spells and using creature abilities work with the stack and priority? I'm a relatively new player to Magic: the Gathering. I was reading  to try to understand exactly when it's okay to cast instants (e.g. ) and use some abilities (e.g.  should be tappable sometime during other peoples' turns), but I don't seem to be making much progress: as I come to understand some things, others make less sense.  My confusion is boundless  For instance: to cast  one needs priority. Spells go on the stack, and priority gets passed at some points (I have no idea when), and effects on the stack are resolved when both players have passed priority. But when is that? I can't find any mention of when the other player gets the priority to cast an instant, except on their own turn. Furthermore,  states that during the Main Phase:     505.4. Second, the active player gets priority. Players may cast spells and activate abilities. The active player may play a land.   So players (plural) may cast spells, but only the active player has priority, so only the active player can cast an instant. The turn rules, and the rules on , never mention any point at which the other player gets priority, so when can they possibly Cancel?  In addition, you can only cast a spell when the stack is empty, so the entire stack must be able to be resolved in your turn at some point.  I need an explanation!  I could go on a bit more. There is also  which can be overloaded to "Counter each spell you don't control", which seems like it could only possibly work with an understanding of the stack.  Could someone explain, in simple English:   When can Instants be cast? When can tap abilities be used? What do Instants and abilities have to do with the Stack and Priority? Installing grounded light fixture on box with no ground conductor I'm installing a brand new motion activated security light to an existing box on my garage. After removing the old light, I notice it only has white/black wiring while the new light fixture has of course white/black/green (ground) wires to attach. What do I do if no ground wire is available with the old box? How do I convert materials from Blender Internal to Cycles? I know this may be a tough or confusing question, but I have numerous existing materials I created and reuse for a project, which were all prepared for Blender Internal.  Now, I want to start the transition to Cycles, but I've hit a roadblock. How can I transition my materials without completely starting over? Or should I just forget it and start with fresh materials? Why would I need a firewall if my server is well configured? Elysia cron module does not execute cron job automatically I have installed the elysia cron module and setup the cron job. My module has a cron function test_cron() which inserts some data into a table.  This function lists in the elysia cron status page. I have setup the the default scheduled rule to */1 * * * * to run the cron after every minute.  When I click on the run infront of the test_cron() the cron runs and some data inserts into the database.  But this the manual method, I want to execute the cron after every minute therefore I defined the scheduled time for the test_cron(),  but it does not executed automatically after every minute.  What should I do? Is there any other configuration which I should do to run the cron automatically? Show $\operatorname{rank}(A) + \operatorname{rank}(B) \ge \operatorname{rank}(A+B)$ How to use grep/awk/unix to match all lines from one file in another file, even if they are duplicates I'm trying to retrieve the the matching lines from a file, however the file that has the "index" or list of matches to retrieve also has duplicate entries and I want to print out the duplicates as well.  Example:  File 1 (index file or list of strings to match)  abc tgf abc ggg aaa fff   File 2 (what I want to retrieve for each of the matches in file 1)  Fred   1   3   abc Amy    2   4   ggg Dan    5   6   tgf Mike   9   1   fff Steve  2   1   aaa   My desired result would be (order is not important, just that I match every line):  Fred   1   3   abc Dan    5   6   tgf Fred   1   3   abc Amy    2   4   ggg Steve  2   1   aaa Mike   9   1   fff   I'm familiar and have tried grep as follows, but it does not print the duplicate entries.  grep -Fwf file1.txt file2.txt  Fred   1   3   abc Amy    2   4   ggg Dan    5   6   tgf Mike   9   1   fff Steve  2   1   aaa Since the equation of mechanics are of second order in time, we know that for $N$ degrees of freedom we have to specify $2N$ initial conditions. One of them is the initial time $t_0$ and the rest of them, $2N-1$ are initial positions and velocity. Any function of these initial condition is a constant of motion, by definition. Also, there should be exactly $2N-1$ algebraically independent constants of motion.  On the other hand, Noether's procedure gives us integrals of motion as a result of variational symmetries of the action. These integrals of motion are also conserved but they are not always $2N-1$ in number. In consequence, we classify the system by their integrability.  So, what is the difference between the  and ? Why do non- have less integrals of motion when they should always have $2N-1$ constants of motion? The Wikipedia article on  mentions two methods of sampling "small" polynomials namely uniform sampling and discrete Gaussian sampling. Uniform sampling is clearly the simplest, involving simply uniformly selecting the coefficients from the set of small coefficients, thereby guaranteeing they will be small. However, the articles mention that security proofs rely on discrete Gaussian sampling.  However, I have a bit of difficulty wrapping my head around    Why discrete Gaussian sampling would be better than uniform, security-wise?   I mean, usually uniform is preferable - it maximizes the entropy/information in each sample, making the outcome more unpredictable. I could understand it if the Gaussian sampling technique would somehow serve to avoid (at least with high probability) "weak" parts of the space of outcomes but I have found no information/justification that this is the case.  Another reason I can see why discrete Gaussian might be better is that there is, after all, a chance (albeit a small one) one would select a non-small coefficient, so the space of outcomes is actually larger. However, given that this probability of hitting this extra space is (by design) quite small but also that one would likely immediately reject such a sample (because the algorithm calls for a small polynomial), this seems to be irrelevant.  It is not because I am against discrete Gaussian sampling I just want to understand why it is more secure. Also, I want to understand if it really IS more secure or it is simply easier to prove security in that model. I would actually consider that very interesting if it is the case because it raises the question of why is it easier to prove the security under conditions that are intuitively worse (i.e. discrete Gaussian vs the intuitively better uniform case)? If it is so intuitively clear that uniform sampling is better, surely it must be possible to transform that intuition into a security proof of RWE also under uniform sampling. Otherwise, I would fear the intuition must with high likelihood be wrong or at least dubious. Layers with same coordinate system should align/overlap in ArcMap but do not? Take an FF body and a crop body, with similar MP rating - and the FF body will give a sharper image of the same object. At least, that seems to be the case - as here:    I assume a low ISO was used in both images.  Why does the FF body, with the same lens and almost the same MP, give an image that is so much sharper?   My best guess is that the diffraction / airy still play a role, and the larger pixels reduce effective overlap - thus increasing contrast/sharpness by displaying less of the neighboring diffraction, as below?