Is $(e^\pi-\pi^e)$ positive or negative? why?
Comparing $\pi^e$ and $e^\pi$ without calculating them
How do you start Windows 10 in safe mode? Reference for general-topology Laptop w/o battery US bound flight? Can I mention professors' names in the statement of purpose? For PhD applications, I have mentioned that I am interested in some research areas. Besides, I am thinking about mentioning some professors' names, so that it shows I have read their websites and I am not just sending out generic statements applicable to many schools.  But is it good to mention some professors' names in the statement of purpose, if I don't know them personally? In what cases is it good, and in what cases it isn't?  For example, is it good to only mention    those whose research directions are aligned with my research interests, or/and those whose books or notes I have heard of, or better, might have read some parts of, or/and those who are already established and famous (such as having certain titles), or/and those that are directing the PhD graduate programs, or/and those that are heads of the departments?    What will other professors who are not mentioned think? How will you do, if it were you? Best way to migrate a huge SQL Server database with low downtime over network Problem definition  Our database server needs to be transferred to an other datacenter. It runs on Microsoft SQL Server 2012 Enterprise (64-bit) and contains two databases of about 2TB and 1TB.  Having little to no downtime for this would be ideal.  Workload  Those databases are used for a .NET website and are constantly getting updated.   Having it not available over the weekend would be acceptable though. The currently in use DB would remain the only one in use until the switch over to the new one.  That switch would ideally be made just by changing DNS entries to point to the new DB server while making sure the DB is not being updated.  Also, time taken by this operation does not really matter as long as the switch from one server to the other (downtime) is kept low.  Approaches considered   Backup and restore  This has been done in the past but involved a high downtime even though it was done through an internal network, so more efficiently than through Internet Log shipping  As far as I understand, this approach would minimize downtime by configuring a master/slave and transferring  an exact copy of the master DB to its slave being read only. As mentioned above, no access to the slave would be necessary and we just need a way to have a replica of the master DB without data corruption.   It also seems to be quite efficient in terms of resources utilization and wouldn't impact to much the master performance.   I might be wrong about this approach so feel free to correct me. Database mirroring  I'm not too aware of that approach but it seems like a valid option. No need to have real time sync and performance of the master is quite important so asynchronous would be the way to go if this approach were to be chosen. Other options?  That server runs directly on bare metal hardware so lower level solutions are unfortunately not an option. Maybe there is a better way to get this done?   Constraints  As described, those databases are quite big to the point they are hard to maintain but that's an other problem.  The versions of SQL Server will be the same (Microsoft SQL Server 2012 Enterprise 64-bit).  It will have to be transferred over network between two datacenters so most probably over Internet. Having disks sent from one site to the other for an initial sync is unfortunately not an option. Having some sort of security for the transfer would be ideal but we will do the best of this situation.  That should give a quite good overview of our needs for this task and hopefully some of you had to face that situation before. How do I do a search in File Explorer that includes subfolders of zip archives? In File Explorer, I can enter search terms in the upper-right search box to search the current folder and all subfolders. I can also navigate the folder tree of zip archives like any other folders. However, if I want my searches to include files in a zip archive I have to navigate to the specific folder in the zip archive where the file is located. My searches never include files in zip archives if I'm not in the archive, and when I am in the archive my searches don't include files within the archive's subfolders.  Is there a way for my searches to include zip archive subfolders? Notation: Why write the differential first? When I log in with LightDM on my laptop running Debian Unstable, it recently started to hang for around 2 minutes until journalctl shows the message kernel: random: crng init done. When I press random keys on my keyboard while it hangs, it logs in faster (around 10 seconds). Before I didn't have this issue, is there any way I can fix it?  Edit: using linux-image-4.15.0-3-amd64 instead of linux-image-4.16.0-1-amd64 works, but I don't want to use an older kernel. When I take the pth root, the bottom of the p comes very close to the \sqrt symbol.  In the New Century Schoolbook font (which I am using), the p actually intersects the \sqrt symbol, which looks even more terrible.  Is there a clean way to fix this?  \documentclass{article} \usepackage{fouriernc} % use the New Century Schoolbook font \begin{document} When I write $a^{(1/p)}$ as $\sqrt[p]{a}$, the bottom of the $p$ touches the top of the root symbol, which looks ugly. Even when the root symbol is larger, such as with $\sqrt[p]{\frac{1}{n}}$, it still looks bad (since the tail of the p almost hits that line). \end{document} I am new to Ubuntu, but I believe I have Ubuntu 11.10 installed correctly.  I am trying to install Acroread using AdbeRdr9.4.6-1_i386linux_enu.deb that I downloaded from the Adobe web site.  How do I do this? Why do people have darker skin in sunnier climates? I don't understand why darker skin is advantageous in hotter climates. Wouldn't it absorb more of the heat? I have heard that it reduces the incidence of cancer, but I would think absorbing more radiation would increase the risk? How do I run a 'sudo' command inside a script? To do a patch manually I must type this command   sudo ./playback_delete_data_patch.sh 09_delete_old_data_p.sql     There is a space just before the 09:   sudo ./playback_delete_data_patch.sh [space] 09_delete_old_data_p.sql   How can I run this inside a script?  There are also several other commands but this one is giving trouble. What is wrong with "Where should this car be parked?"? Singularities in the punctured unit disc and square integrability I'm having trouble with the following problem:  Let $f$ be holomorphic on the punctured unit disc, $D$. If $\int_D|f(z)|dA(z)&lt;\infty$, then $z=0$ is either a removable singularity or a simple pole of $f$.  A similar problem is to prove or disprove that if $\int_D|f(z)|^2dA(z)&lt;\infty$, then $f$ has a removable singularity at $0$.  I've tried using the Mean Value Property for $f$ and taking the limit as $z\to0$, but I didn't get anywhere. Disabled submit button on form vs allow submit then show errors? ON an American street, but IN a British one. Do the twain ever meet? How to check if a row exists in MySQL? (i.e. check if an email exists in MySQL) I am trying to import an FBX file from Unity into Blender. Does anybody know how to do that? Is there a way to consistently increase the vertical spacing between equation lines in a gather (or gather*) environment from amsmath?  Specifically, I want to produce something like  \begin{gather*} a = b \\[2ex] c = d \\[2ex] e = f \end{gather*}   without having to write [2ex] at the end of each equation line.  I can think of some hacks that redefine \\ to automatically add the spacing, but is there some cleaner/better way to achieve this? I have this gigantic ugly string: J0000000: Transaction A0001401 started on 8/22/2008 9:49:29 AM J0000010: Project name: E:\foo.pf J0000011: Job name: MBiek Direct Mail Test J0000020: Document 1 - Completed successfully  I'm trying to extract pieces from it using regex. In this case, I want to grab everything after Project Name up to the part where it says J0000011: (the 11 is going to be a different number every time). Here's the regex I've been playing with: Project name:\s+(.*)\s+J[0-9]{7}:  The problem is that it doesn't stop until it hits the J0000020: at the end. How do I make the regex stop at the first occurrence of J[0-9]{7}?