Usually, we do not use the definite article, the, before names of countries but we use the before "United States of America".   Is there a specific reason for using the article before the country "United States of America"?
The Punjab is a rich state.   Is it correct to use the before Punjab?
`time echo` got no output Is it possible to make the -init method private in Objective-C? I need to hide (make private) the -init method of my class in Objective-C.  How can I do that? Does Thanos's choice make any sense? So we know from Infinity War that Thanos was collecting all the Infinity Stones to basically solve the problems brought about by overpopulation on many planets.  But does it make any sense? He could've just easily increased the resources or changed the area or taken appropriate measure to handle that situation. As far as I know, collecting all the Infinity Stones gives the user limitless power and control over the universe in the MCU.  Is Thanos just a mass murderer or is there something I'm missing? Limit of $\left(1-\frac{1}{n^2}\right)^n$ Proof of $\int_{[0,\infty)}pt^{p-1}\mu(\{x:|f(x)|\geq t\})d\mu(t)=\int_{[0,\infty)}\mu(\{x:|f(x)|^p\geq s\})d\mu(s)$ Let $({\Bbb R},{\mathcal A},\mu)$ be the measure space where ${\mu}$ is the Lebesgue measure.  Assume that $\int_{\Bbb R}|f|^pd\mu&lt;\infty$ ($p\geq1$). There is an exercise for proving that       $$\int_{[0,\infty)}pt^{p-1}\mu(\{x:|f(x)|\geq t\})d\mu(t)=\int_{[0,\infty)}\mu(\{x:|f(x)|^p\geq s\})d\mu(s).$$   If one formally let $s=t^p$, then $ds=pt^{p-1}dt$ and one would immediately get the equality above. However, how can I justify it rigorously in the sense of Lebesgue integration?    [Edited] What puzzles me is that I have the "change of variable" theorem for Riemann integration, but all the integrations here are in the Lebesgue sense. Unless one has shown that the integrands are also Riemann integrable, how can I directly use "change of variable"? Word or Phrase for "Easily Swayed" What word or phrase best communicates the idea that a human (or other sentient being) is easily swayed, particularly between moral good and evil? Words I have found that are close are:   Impressionable - Easily influenced because of a lack of critical ability.   Implies that the subject lacks critical skills, and misses the concept of good and evil.  Gullible - Easily persuaded to believe something   Misses the concept of good and evil    I created a typical angels and demons scenario to demonstrate the polar extremes of the the spectrum. In this scenario, I lack the word to describe the humans, who can be influenced towards either end of the spectrum if impressed upon by an external entity.     The angels are devoted to good, and are immovable in their ideals. The demons are wicked, and will feign morality only to manipulate others. Both prey upon the humans, who are ____________.   I think that the key here is the spectrum of good an evil. Here are examples of other spectra and their associated words, for comparison.   Easily pushed from calm to angry: Temperamental Easily moved from determined to hopeless: Weak-willed Easily influenced by propaganda: UK visa refusal For PLAB 2 I had applied for a visit visa (business) to appear for my PLAB 2 exam on 21 June 2019. I had to attend practice classes from an academy in Manchester for which I had attached the invitation letter; my duration was 15 days to prepare my exam in a better way. I had mentioned the cost of my trip to be £1500 and my brother sponsoring me for £3000 (my entire trip).   My rejection letter stated that I was going with my mother, when I had nowhere in my form or cover letter mentioned that I am going with my mother, because I was going alone. I had shown that my brother is my financial sponsor as I didnt have enough funds in my account. I had attested all the documents of my brother but somewhere in my form I made a mistake where I wrote the total money I have is £3000, but I had only £1200 in my account. I thought we had to write the total amount, so I put my brother's sponsor money, which was supposed to be £3000; he hadn't transferred it into my account, it was in his account only.  I made one more mistake in the form where they asked how much is the cost of travel to you personally. I wrote £1500 but I think I had to write nil there.   I don't know how to proceed now. Should I transfer £3000 into my account from my brother's account and get a bank statement proving the source of income? I don't have enough money in my account despite bring employed since Nov 2018 with a salary of £700 per month, as I had to make some big transactions such as booking my PLAB 2 exam (£830£), etc.  I have already booked the exam for £830 and I don't have much time left. Could new users be prompted to edit instead of commenting? It's very common to ask for additional information on a question.  This is perhaps most common with new users who are a little unfamiliar with the need to put all relevant information in their question to start with.  To be blunt, I'm a little tired of explaining to new users that an edit is better than a comment, particularly where we ask "please add the output of..." I note that some users have taken to explicitly asking OPs to edit their question and adding an edit link in their comment.  But still this is missed.  More recently, adding a comment to a new user's question displays a little note saying:     ... is a new contributor. Be nice, and check out our Code of Conduct.   Could there be a similarly formatted note to new contributors commenting on their own question or answer:     If you need to add more information please  your [question][answer] instead of adding a comment. Finding the distribution of $\|X-\mu \|_\Sigma^2$ with $X \sim N(\mu,\Sigma)$ Let $\Sigma$ be positive definite and symmetric and let $\| x \|_\Sigma := \sqrt{x^t\Sigma^{-1}x}$ be the Mahalanobis norm. Let further $X \sim N(\mu,\Sigma)$ be a $p-$variat normally distributed random vector. Find the distribution of $\| X-\mu \|_\Sigma^2$.   I do not kow how I could do that. Could you help me? Control Android with broken screen from PC My rooted Galaxy Nexus has a broken screen. How can I use my PC (ie, via ADB) to control the phone?  androidscreencast would be the ideal solution, but its keyboard/mouse control feature does not work in Jelly Bean. Perhaps someone knows why and we can patch the code? (see: )  Installing a VNC server is another, but for the love of me I can't get it to work. Eg, using Droid VNC Server, I install the apk, and am supposed to execute /data/data/org.onaips.vnc/files/androidvncserver but there is no files directory inside org.onaips.vnc (instructions from here: ). VMLite is another VNC server that can be started with a special Windows utility (and doesn't need root!) but it's not OSS so I can't get the apk in order to install (Google Play is not pushing apps to my phone prob because I disabled some service--let me know if I can force Google Play to update itself from ADB or install the app). fastdroid-vnc is a binary (not apk) and it runs fine via shell, but something is broken and it shows nothing.  What are my options? Let's make this a community wiki, to help anyone who's broken their screen! How can I disable javascript popups/alerts in Chrome? Sorry if it's been asked. I've already found several solutions that aren't working. Not sure what I'm doing wrong.   I don't want to disable all javascript, only Javascript alert boxes. The ones that pop up and force you to click OK or X to close them.  I've found user scripts that claim to do this (example:  ). I've put chrome on the dev channel, start chrome with the --enable-user-scripts switch, the script shows up as installed.  But I still get the alert boxes.  An example alert box that isn't getting disabled is at  - put in any garbage word into the word validator on the right sidebar. You get a popup telling you it's not a word. My computer no longer boots Windows or the installed operating system. Instead, I may get this error:  PXE-E61: Media test failure, check cable -or- Check cable connection!  PXE-M0F: Exiting PXE ROM.   and/or one of the following messages or similar:  Operating System not found  No boot device available- No bootable devices--strike F1 to retry boot, F2 for setup utility  No bootable device -- insert boot disk and press any key  No Boot Device Found. Press any key to reboot the machine  Default Boot Device Missing or Boot Failed  Reboot and Select proper Boot device or Insert Boot Media in selected Boot device   What does this mean and what can I do?     This question comes up often and the answers are usually the same. This post is meant to provide a definitive, canonical answer for this problem. Feel free to edit the answer to add additional details. Is it true that the order of $ab$ is always equal to the order of $ba$? t-test for partially paired and partially unpaired data An investigator wishes to produce a combined analysis of several datasets.  In some datasets there are paired observations for treatment A and B.  In others there are unpaired A and/or B data.  I am looking for a reference for an adaptation of the t-test, or for a likelihood ratio test, for such partially paired data.  I am willing to (for now) to assume normality with equal variance and that the population means for A are the same for each study (and likewise for B). What's the correct way to do division using a backslash? If I write $a/bc + d$, will that be equal to $(a/(bc))+d$?   Basically, if I place a slash, will I divide by what's directly behind the slash $(b)$, the term that's behind the slash $(bc)$, or everything after the slash $(bc+d)$? Jordan form, number of blocks. Will Windows 10's reset delete my Linux partitions? Short Story About Contact With An Alien Race That Extruded An Elixir I want to learn Linux Kernel and I've downloaded the latest kernel version. Now I want to configure Linux with make menuconfig and I'm receiving an error:     Arch/x86/Makefile:184  Compiler lacks asm-goto support...   Can somebody help me? Generic Parse Method without Boxing I am trying to write a generic Parse method that converts and returns a strongly typed value from a NamedValueCollection.  I tried two methods but both of these methods are going through boxing and unboxing to get the value.  Does anyone know a way to avoid the boxing?  If you saw this in production would you not like it, how bad is it for performance?  Usuage:  var id = Request.QueryString.Parse&lt;int&gt;("id");   Attempt #1:  public static T Parse&lt;T&gt;(this NameValueCollection col, string key) {     string value = col[key];      if (string.IsNullOrEmpty(value))         return default(T);      if (typeof(T) == typeof(int))     {         //return int.Parse(value); // cannot convert int to T         //return (T)int.Parse(value); // cannot convert int to T         return (T)(object)int.Parse(value); // works but boxes     }     if (typeof(T) == typeof(long))     {         return (T)(object)long.Parse(value); // works but boxes     }     ...      return default(T); }   Attempt #2 (using reflection):  public static T Parse&lt;T&gt;(this NameValueCollection col, string key) {     string value = col[key];      if (string.IsNullOrEmpty(value))         return default(T);      try     {         var parseMethod = typeof(T).GetMethod("Parse", new Type[] { typeof(string) });          if (parseMethod == null)             return default(T);          // still boxing because invoke returns an object         var parsedVal = parseMethod.Invoke(null, new object[] { value });         return (T)parsedVal;     }     // No Proper Parse Method found     catch(AmbiguousMatchException)      {     }      return default(T); }