Show that the sum of zeros and poles of elliptic function is lattice point
Show that $\int_{\partial P}z\frac {f'(z)} {f(z)} dz $ is on the lattice $\Lambda$
Recommendation for mobile prepaid SIM card for smartphone + home calls in Germany What SIM card would you recommend for a smartphone user for travel in Germany?  It would be probably the only or the most important connection to the Internet, so large amounts of data and relatively fast transfer is an issue.  I need to stay in touch with friends and family, so the calls to other EU countries should be as cheap as possible.   For to the first criteria, I found the T-Mobile offer interesting. The internet costs 10 Euros/month and after reaching the transfer limit it stays relatively fast. According to tests (Galileo from Pro7, AFAIR) it has also the best coverage. However, calls to other countries are very expensive.  For to second criteria, Lebara and Mobilka are interesting. The calls are very cheap, but there are problems with signal strength in many locations, where T-Mobile has no problem. The voice quality, at least in Lebara, is also limited. They both have mobile internet with unlimited transfer, but after reaching the high speed limit, the transfer is reduced to 64 kbps, which is too slow.  I've found out that O2 has foreign calls at moderate prices, but I haven't yet checked for details. There are so many other options, making it is hard to compare them all without spending the whole weekend on it. So, if someone has found a better option than having 2 SIM cards and constantly switching them, this answer would be greatly appreciated. Are The Lazarus Effect and Dune in the same universe? There are similar aspects between Dune, and the technology in The Lazarus Effect.   Noticeable similarities:   Lasguns - this weapon exists in both of the books, and has similar architecture in both books.   Merman and Ixians - are both technologically sophisticated in similar ways. Rely on mechanical technology as opposed to organics or similar.   Is this merely Herbert sticking to his original style? How can I circumvent regional restrictions in Google's Play Store? I'm travelling to country X. I want to install an application which isn't available in my country, but is available in country X; but I prefer to download and install it in advance, while the data connection is still cheap.  Unfortunately, the Play Stores does not allow me to install this app. Is there any way to circumvent this limitation? Extract float/double value How do I extract a double value from a string using regex.  import re  pattr = re.compile(???)     x = pattr.match("4.5") What kind of node is this?    Image from this Understanding how references and labels work I'm trying to understand why I cannot effectively reference figures or equations that I have defined with labels.  For example:  \begin{figure}   \label{fig:area_Treasuries}   \caption{Treasuries as a portion of total financial flows.}   \centering   \includegraphics[width=0.75\textwidth]{graphs/Area_Treasuries.png} \end{figure}  \paragraph{} Figure~\ref{fig:area_Treasuries} presents Treasuries (both flowing into and out of the United States) as a share of total financial flows.  From 1985 to 2010, Treasuries account for, on average, 53.2\% of total financial flows.   With the above code, I get this warning:      LaTeX Warning: Reference `fig:area_Treasuries' on page 37 undefined on   input line 477.   The result is "Figure ?? presents Treasuries..."  Why is this happening?  Related, I don't understand why I can't reference, say, an equation before (I mean physically above in the text) the actual equation.  Isn't this what compiling multiple times and cross references is supposed to take care of? Z-axis issue with the floating review info panel, permits various elements to flow over it Uncertainty modeling for samples I have instances of data that are composed of 6 attributes. Each attribute takes values between 1-10. Any instance has a utility calculated by some utility function:  Example: {1,1,2,5,5,2} , utility = 0.89  In some readings for these attribute values, undefined values may appear in the instance, I mark them as question mark '?'  Example: {1,1,?,5,?,2}  These question marks represents uncertainty in the instance.  How can I model this uncertainty in a statistical or mathematical way ?   Thanks Unable to install rJava in R 3.0 in Ubuntu 13.04 Computing $ \int_0^\infty \frac{\log x}{\exp x} \ dx $ Intuition on the Kullback–Leibler (KL) Divergence I have learned about the intuition behind the KL Divergence as how much a model distribution function differs from the theoretical/true distribution of the data. The source I am reading goes on to say that the intuitive understanding of 'distance' between these two distributions is helpful, but should not be taken literally because for two distributions $P$ and $Q$, the KL Divergence is not symmetric in $P$ and $Q$.   I am not sure how to understand the last statement, or is this where the intuition of 'distance' breaks down?   I would appreciate a simple, but insightful example. Port error while changing chrome extension from manifest v1 to v2 Consequence of the Hahn-Banach Theorem From wikipedia's page on the Hahn-Banach Theorem:  If $V$ is a normed vector space with linear subspace $U$ (not necessarily closed) and if $z$ is an element of $V$ not in the closure of $U$, then there exists a continuous linear map $ψ : V → K$ with $ψ(x) = 0$ for all $x$ in $U$, $ψ(z) = 1$, and $||ψ|| = dist(z, U)^{−1}.$  How is this a consequence of the Hahn-Banach Theorem? How many non-negative integer solutions does the equation $3x + y + z = 24$ have? Limit Ordinal Question how to prove this result.     $\alpha$ is limit ordinal if and only if $\beta&lt;\alpha$ implies $\beta+1&lt;\alpha$ for any $\beta$.   I am getting confused because of the definition of limit ordinal. it says     $\alpha=\sup\{\beta: \beta&lt;\alpha\}=\bigcup\alpha$    for sup I am ok but for $\alpha=\bigcup\alpha$ how ?? Where can I find Dogmeat after dismissing him to Sanctuary Hills? I recently dismissed Dogmeat in favor of Codsworth, and I'm fairly sure I sent him to Sanctuary Hills. However, I've had a fairly detailed look around the place and I haven't found him yet. Does anyone know where he is? I am creating a custom form on a Salesforce Marketing Cloud Landing Page. This page will have information such as Email address, first name and last name pre-filled from an email, however there will be some cases where emails can be entered by the customer. What is the best way to validate email addresses on form submit? E.g. a regex to look at overall structure or is there a better way? 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. Add Item to Finder Sidebar Browse local copies of websites when possible (Firefox with slow internet connection) I am on a slow internet connection. I would like to use Firefox to load local copies of websites when it exists and is relatively recent (say one week).   An example usage would be browsing a lot of Wikipedia webpages, coming back to the same ones on a regular basis.  I would like to avoid having to manually specify to save single pages on each website I visit (which is what I guess I would need to do with a plugin like ). And I would also like to avoid having to switch between "work offline" or "work online".   Any suggestions?