Scientific short stay work (Schengen) visa in France but enter Italy first?
Should my first trip be to the country which issued my Schengen Visa?
I have an equation like this:     \begin{align}       P(A \cup B) = \sum_{\omega \in A \cup B} P(\omega) = \sum_{\omega \in A} P(\omega) + \sum_{\omega \in B} P(\omega)       = P(A) + P(B)     \end{align}   For some reason, LaTeX is automatically labeling the equation. How do I turn that off? Secondly how do I write something in LaTeX on this site. I tried enclosing in '$' but it doesn't work. learn how to [verb] vs. learn to [verb] "learn to [verb]" "learn how to [verb]"   Is [1] merely a less formal version of [2]? If not, does [1] communicate something subtly different? Consider the following:  In [2], the object of learning is explicitly "how to [verb]" (for instance, "I will learn how to speak French").  Is the object of learning in [1] "to [verb]" or is it something implicit and abstract that allows the subject "to [verb]"? For instance, in "I will learn to speak French", the object of learning would be the prerequisite elements for speaking French: "French phonemes, grammar, syntax, etc.". How to do version numbers? My company is building a product. It's going to be versioned by SVN. It's a webapp so basically there will never be a version out which doesn't have some features in them and thus could always be labeled as beta. But since it's going to be a corporate product I really don't want the "unstable watchout" on there. So how would you go about versioning? Is 1.0 stable? Should the build date be in the version number? Tell me what you guys think! Is it possible to include one CSS file in another? Is it possible to include one CSS file in another? Proving that $x_n\to L$ implies $|x_n|\to |L|$, and what about the converse? Problem 3. Show that for a sequence $(x_n)$ the following are true:   (i) $\lim x_n=0$ if and only if $\lim |x_n|=0$.   (ii) $\lim x_n=L$ implies $\lim |x_n|=|L|$. Is the converse true? Prove or give a counterexample.    (i) is already done, easy.  I'm halfway done with (ii), I split it into three cases:  $L = 0$, $L &gt; 0$ and $L &lt; 0$.  For $L = 0$ I just refer to part (i).  For $L &gt; 0$, we know that $|x_n - L| &lt; \epsilon$   if lim $|x_n|$ = $|L|$, then we must have  $||x_n| -|L|| &lt; \epsilon$  but by the reverse triangle equality, $||x_n| - |L|| &lt; |x_n - L|$ so clearly $||x_n|-|L|| &lt; \epsilon$, thus  lim $x_n = L$ $\implies$ lim $|x_n| = |L|$ for $L &gt; 0$  for some reason I'm confused as to part three, $L&lt;0$. I'm having trouble seeing the difference between $L&gt;0$ and $L&lt;0$, and i'm starting to think that splitting it up like that isn't necessary at all. I am working on a prototype, one function of which is to detect whether an object is "in range" by a few cm. Right now I'm just using an Arduino and a cheap  that operates at 13.56 MHz:    I've successfully gotten it to detect the tag, but only at a distance of about 3-4 cm when the tag is oriented parallel to the antenna.  According to my  , the HF band allows read ranges of between 10 cm and 1 m for passive tags, depending on factors like antenna size, tag size and orientation, and transceiver power.  I realize this inexpensive reader is not up to task as-is, but I'm interested in building something that achieves read ranges of 15-20 cm.  Some criteria:   No need to read multiple tags; only whether one tag is in range or not. No need to write to the tag. Cannot use an active tag.   I'm not experienced with RFID reader construction (yet) but am interested in knowing what I should pursue.  Here are some things I've considered:   Ditch the embedded antenna on the cheap RFID reader and construct my own, larger antenna. I'd need to see if the onboard  is up to the task of providing additional power. Look for a different IC around which to build a reader from scratch. Find a ready-made solution instead of trying to build one (more cost-effective?). Use something other than RFID for simple proximity detection.   I am experienced with microcontrollers and basic electronics, and have made audio and lighting projects, but this is a first with RFID. Since I don't need to read multiple tags, which RFID is suitable for, I've considered maybe some sort of magnet and hall-effect sensor, but the range does not seem adequate. I considered using an ultrasonic proximity detector, but the application calls for detecting the tagged object while ignoring untagged ones (ultrasonic would produce false positives on untagged objects). I've considered some sort of reflective surface placed on the object, and detecting reflected light, but the object orientation is not reliable enough to maintain alignment.  So, in a nutshell, What modifications can I make to my existing reader, or what alternate technology should I pursue to achieve 15-20 cm detection of a passively tagged object?  I plan on connecting whatever proximity detector is used to a microcontroller using SPI. iCloud Drive is stuck uploading items and no longer syncs I got the macOS Sierra update when it went into public beta, and I've been trying to use the automatic .  I've enabled the feature, however since September 7 no files have been uploaded. By this point, the bottom of my Finder windows say:     15.78 GB available on iCloud, uploading 156,106 items (543.2 MB of 543.2 MB)   However the files are never actually uploaded. I keep my screenshots folder on my desktop and I take a lot of screenshots, so I can see that September 7 was the last date any file was actually uploaded.  What should I do? Is there a way I can disable and re-enable the feature without risking loss of data? Are there any solutions to this problem? What should I try? So far I've tried rebooting, and tried software update to macOS 10.12.2 public beta. I came across the :    Which states:     $\pi$ Pi      Pi is an infinite, nonrepeating $($sic$)$ decimal - meaning that   every possible number combination exists somewhere in pi.  Converted   into ASCII text, somewhere in that infinite string of digits is the   name of every person you will ever love, the date, time and manner    of your death, and the answers to all the great questions of    the universe.   Is this true? Does it make any sense ? Removing text between two specific strings Short story (+radio play?) in which astronauts outside their ship slowly drift apart in space Looking for a short story in which the crew of a spaceship for some reason find themselves outside the ship, drifting apart in outer space. They can communicate via their radios but are individually drifting apart.  One by one, they lose communication as they drift further away from each other.  Might have also been adapted into a radio play? How to make number input area initially empty instead of 0 or 0.00? How are these AES MixColumn multiplication tables calculated? I'm using the mul2, mul3, mul9, mul11, mul13 and mul14 tables for the MixColumn and InvMixColumn steps in AES-128. However, I got these off some Github repository, and now I'm looking for an actual source explaining how these were calculated and so on.  I cannot find anything proper on Google, can anyone help me out? Consistency of an order statistic in exponential distribution I have two questions.   1) If $X_1,X_2,X_3,...,X_n$ constitute a random sample of size $n$ from an exponential distribution, show that $\bar X$ is a consistent estimator of the parameter $\lambda$.    This is my attempt: Mean of exponential distribution is $\lambda^{-1}$. Thus by central Limit theorem $E(\bar X)=\lambda^{-1}$. Using mean square consistency, if  $\lim_{n\to \infty} E[(\bar X -\lambda )^2]=0$ then $\bar X $ is consistent for $\lambda$. Since $$ E[(\bar X -\lambda )^2]= E[(\bar X)^2]+E(\lambda)^2-2\lambda E(\bar X) , $$  I get $$ \lim_{n\to \infty} E[(\bar X -\lambda )^2] =    \lim_{n\to \infty} {2 \over \lambda ^2 }+\lambda^2-2 . $$ Clearly this is not equal to $0$. How can I show this is consistent? I tried using Chebechev inequality as well. But even using that I couldn't.    2) Is $X_{(n)}$ a consistent estimator for $\lambda$? If $P[|X_{(n)}-\lambda|&lt;\epsilon]$ approaches $1$ as $n$ goes to infinity for all $\epsilon &gt; 0$ then $X_n$ is a consistent estimator for $\lambda$.    The probability density function of $X_{(n)}$ is $f_n(x) = n \lambda e^{-\lambda x}(1-e^{-\lambda x})^{n-1}$,  for $X&gt;0$.  Thus \begin{align*} P[|X_{(n)}-\lambda|&lt;\epsilon]  &amp;= P[\lambda -\epsilon&lt;X_{n}&lt;\lambda+\epsilon] \\  &amp;=P[0&lt;X_{n}&lt;\lambda+\epsilon] \\  &amp;=\int_0^{\lambda+\epsilon} n \lambda e^{-\lambda x}(1-e^{-\lambda x})^{n-1}\\  &amp;= (1-e^{- \lambda X_{(n)} }), \end{align*} where $X{(n)}$ takes values in $[0 , \lambda+ \epsilon]$.  Thus, can I say $\lim_{n\to \infty}[1-e^{-\lambda(\lambda+\epsilon)}]^n=1$? What is the difference between object keys with quotes and without quotes? Use abbreviations for 1000+ score in linked posts I don't really enjoy the ragged view of linked posts:    This feature request is to use a format that suggested in ; something that matches the user-profile tags page in terms of the tally:    That is, use abbreviations for 1000+ (k for 1,000+, m for 1,000,000+, ...). If $x^n + a_{n-1}x^{n-1} + ... + a_0 = 0$ has a rational root, then such root is an integer Let $n &gt; 0$ and let $a_{n-1}, ..., a_0$ be integers. Prove that, if $x^n + a_{n-1}x^{n-1} + ... + a_0 = 0$ has a rational root, then such root is an integer.   I understand that posting questions without showing your work is frowned upon, but I don't know where to start with this one.. thanks in advance. Why is the Finder app always open? First time Mac user. I am confused by the fact that the finder application is always open. For example, when switching apps with Cmd+Tab, it is always there, even when there are no windows opened for the app. Cmd-tabbing to Finder with no windows/tabs opened for it has no effect (it seems to me it would more intuitive to open a new tab when this action is chosen).   Furthermore, there is no 'Close app' option when I right click the Finder icon in the dock. Am I misunderstanding something about the Finder app? Is it required for proper functioning of Mac OS? From what I see, Finder is just a file browser, which by no means should be forced to be open 100% of the time. Dirac delta function and volume charge density I just got introduced to the Dirac delta function and one of the questions was to express volume charge density $\rho({\bf r})$ of a point charge $q$ at origin. I saw that the answer is related to Dirac delta function as: $$\rho({\bf r}) = q \delta^3({\bf r})$$ where $\delta^3({\bf r})$ is the 3-dimensional Dirac Delta function. Why is it so? How to find out if my system is i386 or x86_64 before installing Ubuntu? I am using Windows as of now and want to install Ubuntu. I want to find out if my system is i386 or x86_64? How do I do that? Ok... so this is embarrassing.  I typed in "boobs" on EncyclopediaDramatica's search because, well, it's a really funny page.  But now I've got a problem... EVERY TIME I click a search field in Chrome now, it shows "boobs" as the first suggestion in the drop down!  This is not really socially acceptable as this laptop goes with me everywhere and Chrome is my primary browser.  Is there a way I can isolate and remove just that one entry?