What about the supposed aiming modifications when firing a weapon?  According to my research, when firing a weapon you are supposed to aim a little to the right when firing northwards and to the left when southwards. This is supposed due to the rotation of the earth. If that is so, it means that the moment the bullet leaves the gun it no longer moves according to the rotation of the earth.  By logic and common sense, the same behavior must be expected when planes leave Earth. Does Earth rotation effect planes?
Why do airplanes experience negligible Coriolis force while bullets experience the Coriolis force in long range shooting, even though the mass of airplane is much bigger than a bullet?
iOS: Your passcode is required to enable Touch ID Occasionally, when unlocking my iPhone or iPad, I get the following message:     Your passcode is required to enable Touch ID   Now this is not after a number of failed attempts or turning the device off. The device was used within the last 12 hours. Two of the devices are less than 2 months old, and one is a year old. Everything is up to date. It appears to be happening more-or-less at random.  Does anybody know why this message might appear? Can a countable set contain uncountably many infinite subsets such that the intersection of any two such distinct subsets is finite? 32-Bit UEFI Boot Support Once it is compiled, is there a difference between:  delegate { x = 0; }   and  () =&gt; { x = 0 }   ? "This edit would have to be a suggested edit" / edit button grayed out A couple of times recently when I attempted to edit a post while reviewing it from the "First Posts" queue, I received the following message when I tried to submit the form:  This edit would have to be a suggested edit. (x)   This is a rather cryptic message, considering that edits made from a review are suggested edits, subject to the same peer review process. There was no indication of how the edit would have to be submitted differently, much less why. I searched both help and meta for more information about this message, but came up empty.  The first time it happened, after I cancelled out I saw that someone else had just edited the post, so I thought maybe that's why I couldn't submit an edit from the review (and wondered why, if that's the case, the error message didn't just say that instead of telling me something that doesn't make any sense - that the edit I'm trying to suggest can't be submitted because it would have to be a suggested edit). However, the second time I received this message (last night, for this question: ), there was no other edit. So, I clicked the No action needed button and tried to edit the post outside the review process, only to discover that the edit link was grayed out.   I see several explanations of possible causes for graying out the edit link here: . However, there was no tooltip when I hovered over the disabled link, and the edit queue was in the single digits.  A few minutes later, I noticed that the edit link was no longer grayed out, so I edited the post and my edit was accepted.   My best hypothesis based on my experience with the error so far and the explanations I've read here at meta is that someone submitted a suggested edit while I was reviewing the post, which (a) caused me to get the cryptic error message and (b) caused the edit link to be grayed out when I accessed the post the normal way. Then a few minutes later, the suggested edit was rejected, opening up the question for new edit suggestions.  Rather than speculating about it and trying to determine the answer scientifically, it would be helpful if someone could give me the answer (as Seinfeld fans might put it, "Why don't you just tell me why I can't edit the post?"). It would be even more helpful if the error message itself provided the explanation, or if the message were defined somewhere in the help pages. But, at the very least, hopefully there will soon be an answer on meta to enlighten people who scratch their chins over this in the future. :) I have a financial transaction that looks something like this (pseudo):  begin     select record for update     update record(same record as selected)     insert another record into another table commit   If I call SELECT ... FOR UPDATE within the transaction, will the lock be released for the specific rows only when the transaction is committed ? Send Blob file via Apex Rest Callout I'm trying to send a Blob Apex REST callout and it is keep failing. I tried all the examples in the web but didn't work. What is the standard and correct way to send Blob data via REST callouts?  //Parameters String strBody = 'flowIdentifier=1&amp;flowFilename=test.jpg&amp;flowTotalSize=14893&amp;flowCurrentChunkSize=14893&amp;flowChunkSize=14893&amp;flowChunkNumber=1&amp;flowTotalChunks=1';  bodyBlob = //Blob data  HttpRequest request = new HttpRequest(); request.setEndpoint(END_POINT); request.setMethod('POST'); request.setHeader('content-type', 'multipart/form-data'); request.setBodyAsBlob(bodyBlob); request.setBody(strBody);  try{ Http http = new Http(); HttpResponse response = http.send(request); System.debug(response.getBody()); } catch(Exception e) {      System.debug('ERROR:'+e);     } I do as follows  $(1+x)^n= \binom{n}{0}+\binom{n}{1}x+\binom{n}{2}x^2+...+\binom{n}{n}x^n$   differentiating in both sides  $n(1+x)^{n-1}= \binom{n}{1}+2\binom{n}{2}x+3\binom{n}{3}x^2...+n\binom{n}{n}x^{n-1}$  then, for $x=1$  $n \cdot2^{n-1} = \sum_{k=1}^{n}k\binom{n}{k}$  From here, I don't know how to proceed, I have tried to multiply both sides for $(1+x)$ to make $n \cdot2^{n}$ but then the summatory changes, I don't know how to prove the equality. Is everything in .NET an object? Determining if trees within forest gaps are clustered using R? Find the limit if it exists of $S_{n+1} = \frac{1}{2}(S_n +\frac{A}{S_n})$ Suppose that $S_0$ and A are positive numbers, let $$S_{n+1} = \frac{1}{2}\left(S_n +\frac{A}{S_n}\right)$$ with $n \geq 0 $.      (a)Show that $S_{n+1} \geq \sqrt{A} $ if $n \geq 0$       (b)Show that $S_{n+1} \leq S_n $ , if $n \geq 1$      (c) Show that $s= \lim\limits_{n \rightarrow \infty} S_n$ exists      (d) find s   (a) Show that $S_{n+1} \geq \sqrt{A} $ if $n \geq 0$  Given $$P_n:  S_{n+1} = \frac{1}{2}\left(S_n +\frac{A}{S_n}\right) \geq \sqrt{A}$$  $$P_0: S_{1} = \frac{1}{2}\left(S_0 +\frac{A}{S_0}\right) \geq \sqrt{A}  $$  We assume that $P_n$ is true  $$P_{n+1}: S_{n+2}= \frac{1}{2}\left(S_{n+1} +\frac{A}{S_{n+1}}\right)$$ by assumption $$S_{n+2}= \frac{1}{2}\left(S_{n+1}\left(1 +\frac{A}{(S_{n+1})^2}\right)\right) \geq \frac{1}{2}\left(\sqrt{A}\left(1 +\frac{A}{(\sqrt{A})^2}\right)\right)$$ $$ S_{n+2}= \frac{1}{2}\left(S_{n+1} +\frac{A}{S_{n+1}}\right) \geq \sqrt{A}  $$  It follows that $S_{n+1} \geq \sqrt{A} $    (b) Show that $S_{n+1} \leq S_n $ , if $n \geq 1$  $$S_{n+1} \leq S_n$$ $$\frac{1}{2}\left(S_n +\frac{A}{S_n}\right) \leq S_n $$ Dividing by $S_n$ $$\frac{1}{2}\left(1 +\frac{A}{S_n^2}\right) \leq 1 $$ $$\frac{A}{2S_n^2} \leq \frac{1}{2}$$ $$A \leq S_n^2$$ $$S_n \geq \sqrt{A}$$ As  $S_{n+1} \leq S_n$ yields a true statement, it follows $S_{n+1} \leq S_n$ is true.    (c) Show that $s= \lim\limits_{n \rightarrow \infty} S_n$ exists  Since $S_{n+1} \leq S_n$, the sequence is non-increasing,   using the non-increasing theorem stating that      if $\{S_n\}$ is non-increasing then $$\lim\limits_{n \rightarrow &gt; \infty} S_n = \inf\{S_n\} $$     (d) find s    Is the argumentation in (a) and (b) appropriate? Also, I have to admit I m getting less confident in my argumentation (c) and (d). How to proceed in (c) and (d)?  Much appreciated for your input or help. During my upcoming holiday to the USA I'm thinking about buying a new guitar as the exchange rate is extremely favorable. Excuse my naivety but I have never flown with a guitar before. What is a recommended way to go about this? Could I take it as carry on luggage or would it have to be checked? If checked luggage what kind of precautions should I take to keep it safe? Are there any problems with flying US budget carriers? If I do buy the guitar I'm expecting to have to make two flights with it, one domestic flight with Virgin America and an international flight with Air NZ. What are turret connectors? While working on a project recently, I noticed that Digi-key has a product category . I've never seen connectors like this before, and they don't look like any kind of contact I've seen before. What does the mating connector look like? I can't envision any mating contact that makes any sense for these.  On top of that, they look like they have to be individually machined, which can't be a cost-effective process. How best to include other scripts? The way you would normally include a script is with "source"  eg:  main.sh:  #!/bin/bash  source incl.sh  echo "The main script"   incl.sh:  echo "The included script"   The output of executing "./main.sh" is:  The included script The main script   ... Now, if you attempt to execute that shell script from another location, it can't find the include unless it's in your path.  What's a good way to ensure that your script can find the include script, especially if for instance, the script needs to be portable? I am curious how people picture geometrically how the covariant derivative acts with regards to vector fields. I understand that it is merely an object which has been defined for some use and obeys certain conditions but how would you picture such a thing geometrically? In other words, when someone asks you what the covariant derivative is, how do you explain it in absence of a formal definition? Abelian quotient group I'm stuck on the following practice problem.   Any hints would be appreciated.  Suppose $N$ is a normal subgroup of  $G$ such that every subgroup of $N$ is normal in $G$ and $C_{G}(N) \subset N$. Prove that $G/N$ is abelian.  I'm not sure how to use the fact that $C_{G}(N) \subset N$.  Thanks Get total duration of video files in a directory I have a list of .ts files:   out1.ts ... out749.ts   out8159.ts  out8818.ts   How can I get the total duration (running time) of all these files? I have a quaternion, coming from a system with the following:(intertial sensor)  Right handed. Forward direction: Y axis Right direction: X axis Up direction: Z axis   I need to convert this into a coordinate system that is: (Unreal engine)  left-handed. Forward direction: X axis Right direction: Y axis Up direction: Z axis   I have tried negating the axis, and angle, I have tried switching values, i cannot get this to work. All help greatly appreciated! I am working in C#, with Microsoft.Xna.Quaternion. Why is inductance (L) proportional with turns-square (N²)? We start from the   $$ \mathbf{\nabla} \times \mathbf{B} = \mu \mathbf{J} + \overbrace{\mu \epsilon \dfrac{\partial \mathbf{E}}{\partial t}}^0. $$  We take surface integration of both sides, for the surface (\$s\$) inside the mean path (\$c\$) of the core.  $$ \int_s \left( \mathbf{\nabla} \times \mathbf{B} \right) \cdot d\mathbf{s} = \mu \int_s \mathbf{J} \cdot d\mathbf{s} $$  We use the  to rewrite the left hand side; where \$c\$ is in the same direction with the magnetic flux \$\Phi\$.  $$ \oint_c \mathbf{B} \cdot d \mathbf{\ell} = \mu N I $$  (The integral on the left hand side results \$NI\$, because there are \$N\$ different wires on the winding.)  The magnetic field density inside these kind of cores are considered to be uniform. So, we can write  $$ B \ell_c \overset\sim= \mu NI \implies B = \dfrac{\mu NI}{\ell_c}; $$  where \$\ell_c\$ is the mean path lenght of the core.  We can find magnetic flux from the magnetic flux density we have found by using the cross sectional area of the core \$A_c\$.  $$ \Phi = BA_c = \dfrac{\mu NIA_c}{\ell_c} $$  By definition, inductance is the amount of magnetic flux generated per applied current, that is  $$ L \overset\triangle= \dfrac{\Phi}{I}. $$  So, we find inductance of the system as  $$ \boxed{ L = \dfrac{\Phi}{I} = \dfrac{\dfrac{\mu NIA_c}{\ell_c}}{I} = \dfrac{\mu NA_c}{\ell_c} }. $$  But, all other sources () give inductance of an inductor like this as  $$ L = \dfrac{\mu N^2A_c}{\ell_c}. $$  What is the mistake I did in my derivation? Please explain in detail. Just a curiosity. I just saw a video where pi was being calculated by the series  $$1-(1/3)+(1/5)-(1/7)+...$$  My question is how can $\pi$ be irrational if we can calculate it using rational numbers?