What is the origin of using '-wise' as a suffix?
When is it correct to use the "-wise" suffix?
What is the preferred way to find focused control in WinForms app? If $A$ is compact, is then $f(A)$ compact? Ring and Subring with different Identities Multiplying two dimensional data by a constant How can I play the same world between PS4 and Mobile? $-1$ is a quadratic residue modulo $p$ if and only if $p\equiv 1\pmod{4}$ I came across this problem and I believe Lagrange's theorem is the key to its solution.  The question is:     Let $p$ be an odd prime. Prove that there is some integer $x$ such that $x^2 \equiv −1 \pmod p$ if and only if $p \equiv 1 \pmod 4$.   I appreciate any help.  Thanks. Show that every prime $p&gt;3$ is either of the form $6n+1$ or of the form $6n+5$, where $n=0,1,2, \dots$ is it possible to raise the tip while raising the back and lowering the center of the tongue when making /R/ sound? Following , this is how we correctly make the r sound:   Let the throat vibrate since it is voiced. Round the lip a little. Raise the tip of the tongue towards the hard bump behind the upper front teeth,  but do not let the tip of tongue touch the bump. This also makes the center of the tongue go down. The back part of the tongue is raised because you pull it into a tight ball Fold and raise the sides of the tongue so they touch the upper side-teeth.   If we follow the above requirement, our tongue should have an s shape when we pronounce the r sound as depicted in the following sketch:    Is it possible to raise the tip while raising the back and lowering the center of the tongue when making an r sound?   How do native speakers make an r?  P.S. My tongue is very short anyway! Divergence of $\frac{ \hat {\bf r}}{r^2} \equiv \frac{{\bf r}}{r^3}$, what is the 'paradox'? I just started in Griffith's Introduction to electrodynamics and I stumbled upon the divergence of $\frac{ \hat r}{r^2} \equiv \frac{{\bf r}}{r^3}$, now from the book, Griffiths says:  Now what is the paradox, exactly? Ignoring any physical intuition behind this (point charge at the origin) how are we supposed to believe that the source of $\vec v$ is concentrated at the origin mathematically? Or are we forced to believe that because there was a contradiction with the divergence theorem? Also how would the situation differ if $\vec v$ was the same vector function but not for a point charge? Or is it impossible? So I know umask can restrict privileged users, using this format umask ugo.  I understand that the read = 4, write = 2, and exec = 1. However, when I type umask, it returns 4 digits which is 0022 or 0073. I have no understanding of how does this work now because there is an extra digit. What is that extra digit and what does 0022 mean? How to set selected Dialog values to TextViews in Fragment Why not group search results by thread? I like the new search, but the listing can become quite verbose. That is generally excellent because Stack Exchange is searching in more places. But now that you  to the original question, it becomes quite difficult to remember "that's not the question(s) I want &hellip; that's not the question(s) I want" when the questions' answers appear dozens of times scattered throughout the listings.  Why not group same-question entries together in the search results?  I realize that each individual post wont be sorted strictly "by relevance", but the most relevant question threads will be listed first&hellip; making it easier to skip over those entries once you decide that's not the question you're looking for.  Consider what we have now &mdash;  Apple SE > Search "Exchange contacts"   A: Exchange contacts do not appear in iCloud A: Exchange contacts do not appear in iCloud Q: iPhone Contact Sync A: How to use Gmail contacts on an iPod Touch A: Exchange contacts do not appear in iCloud A: Exchange contacts do not appear in iCloud A: How to use Gmail contacts on an iPod Touch A: Exchange contacts do not appear in iCloud A: Exchange contacts do not appear in iCloud A: iPhone Contacts Sync Q: Best way to transfer iphone contacts away from Exchange server Q: Can I use Google's new CardDAV-based contacts sync to sync between my Exchange contacts and … A: How to delete contacts from iPhone? A: Can I use Google's new CardDAV-based contacts sync to sync between my Exchange contacts and … : etc, etc. :   Once I realize I don't want that iCloud question&hellip; or that iPod Touch question&hellip; or that sync question &mdash; or a dozen others &mdash; it becomes extremely cumbersome to remember and search the listings for questions I didn't eliminate yet.  I'm not suggesting rolling up the results back to the original question&hellip; just grouping these posts together (I like seeing each answer-match with the text excerpt underneath). But once I eliminate the question entirely, it would be nice to scroll past those entries to continue my search&hellip; without all the noise of those entries reappearing over and over again in the search results. "GPT detected. Please create a BIOS-Boot partition" while using boot-repair Since I updated Windows to 8.1 my Grub menu disappeared. I ran Ubuntu using Live USB, I used Boot-Repair but something went wrong. If I click on Reccomended repair I get this error:     GPT detected. Please create a BIOS-Boot partition (>1MB, unformatted filesystem, bios_grub flag). This can be performed via tools such as Gparted. Then try again. Alternatively, you can retry after activating the [Separate /boot/efi partition:] option.   So I tried to set my sda9 (I think that it's the Ubuntu system partition, since it's ext4) with the bios_grub flag and then to run Boot-Repair again. It didn't work.  I don't know what to do. My Grub was working fine (using UEFI) before I updated Windows.  I removed the bios_grub flag. Then I used fsck and it didn't find any error. So I tried again with Boot-Repair but it always gives me the "GPT detected" error. My boot is on UEFI mode, Secure Boot is "off".  When I boot my PC with SecureBoot OFF, I can reach the GRUB menu. But it's empty (the only voice is "System Setup").  I mounted my Ubuntu system disk:  sudo mount /dev/sda9 /mnt   and the other things:  sudo mount --bind /dev /mnt/dev sudo mount --bind /proc /mnt/proc sudo mount --bind /sys /mnt/sys   I logged on the system with chroot:  sudo chroot /mnt   I re-installed grub:  grub-install /dev/sda update-grub2   But it still doesn't work. Is there a way to show that $\sqrt{p_{n}} &lt; n$?  In , I show that $f_{2}(x)=\frac{x}{ln(x)} - \sqrt{x}$ is ascending, for $\forall x\geq e^{2}$. As a result, $\forall n \geq 3$ $$\frac{p_{n}}{ln(p_{n})} - \sqrt{p_{n}}\leq \frac{p_{n+1}}{ln(p_{n+1})} - \sqrt{p_{n+1}}$$ Also (and as a result), $\forall n \geq 3$ $$ \frac{p_{n}}{ln(p_{n})} - \sqrt{p_{n}} &gt; 0$$ Or $$ \frac{\pi (p_{n})}{p_{n}/ln(p_{n})} &lt; \frac{\pi (p_{n})}{\sqrt{p_{n}}}$$  According to  $$\displaystyle\smash{\lim_{n \to \infty }}\frac{\pi (p_{n})}{p_{n}/ln(p_{n})}=1$$ Or, $\forall \varepsilon &gt;0$, $\exists N(\varepsilon )$: $\forall n&gt;N(\varepsilon )$ $$1- \varepsilon &lt; \frac{\pi (p_{n})}{p_{n}/ln(p_{n})} &lt; 1+ \varepsilon$$ Or $$1- \varepsilon &lt; \frac{\pi (p_{n})}{p_{n}/ln(p_{n})} &lt; \frac{\pi (p_{n})}{\sqrt{p_{n}}}$$ As a result $\forall \varepsilon &gt;0$, $\exists N(\varepsilon )$: $\forall n&gt;N(\varepsilon )$ $$(1 - \varepsilon ) \cdot  \sqrt{p_{n}} &lt; \pi (p_{n}) = n$$  But this is not enough.  Interestingly,  is true iff function $f_{4}(x)=\pi (x) - \sqrt{x}$ is strictly ascending ($x &lt; y \Rightarrow f(x) &lt; f(y)$) for prime arguments.  If $f_{4}(p_{n}) &lt; f_{4}(p_{n+1})$ then $$\pi (p_{n}) - \sqrt{p_{n}} &lt; \pi (p_{n+1}) - \sqrt{p_{n+1}}$$ Or $$\sqrt{p_{n+1}} - \sqrt{p_{n}} &lt; \pi (p_{n+1}) - \pi (p_{n}) =1$$  And vice-versa, if $$\sqrt{p_{n+1}} - \sqrt{p_{n}} &lt; 1$$ Then $$-\sqrt{p_{n}} &lt; -\sqrt{p_{n+1}} + 1$$ Or $$\pi (p_{n})-\sqrt{p_{n}} &lt; \pi (p_{n}) + 1 -\sqrt{p_{n+1}} = \pi (p_{n+1}) -\sqrt{p_{n+1}}$$  So, if Andrica's conjecture is true then $\forall n \geq 3$ $$\pi (p_{n})-\sqrt{p_{n}} &gt; 0$$ Or $$\sqrt{p_{n}} &lt; \pi (p_{n})= n$$ Why does a helium filled balloon move forward in a car when the car is accelerating? Are data members allocated in the same memory space as their objects in C++? How do I get back my suspend option in Gnome Shell? With the new version of Gnome Shell in Ubuntu 12.10 they turned  around by just displaying the shutdown option which becomes suspend on pressing Alt.  How do I get back my beloved suspend option? Need help recalling name of sci-if story about earth evolving into electronic life forms Read a story once about earth being abandoned for long periods of time. Upon the return of man to earth all life forms, flora and fauna, have evolved into intricate electronic forms of themselves.   Would like to find that story and it's name. Ubuntu16.04 boots into initramfs Ubuntu doesn't boot up and it goes into initramfs. I am writing from a live CD trial session. what should I do?  I understand that the boot flow is broken and that when the files from root are going to be loaded into the ram, it does not find the files in the root directory. Please correct me if I'm wrong.  The following is the output from ashell as I input the "exit" command:  (initramfs) exit /dev/mapper/ubuntu--vg-root contains a file system with errors, check forced. Inodes that were part of a corrupted orphan linked list found.  /dev/mapper/ubuntu-vg-root: UNEXPECTED INCONSISTENCY; Run fsck MANUALLY.     (i.e., without -a or -p options)  fsck exited with status code 4. The root file system on /dev/mapper/ubuntu--vg-root requires manual fsck I need to grant select permission for all tables owned by a specific user to another user.  Can I do this with a single command along the lines of:  Grant Select on OwningUser.* to ReceivingUser   Or do I have to generate the sql for each table with something along the lines of:   Select 'GRANT SELECT ON OwningUser.'||Table_Name||'TO ReceivingUser'   From All_Tables Where Owner='OWNINGUSER'