Can you give me a hint to how to approach the problem.How one can show that $2^{35}-1$ is a multiple of 31 and 127?
For all $a, m, n \in \mathbb{Z}^+$,   $$\gcd(a^n - 1, a^m - 1) = a^{\gcd(n, m)} - 1$$
I am using ArcMap 10.2 and I'm looking for a way to add  a table containing certain fields from select elements from a featureclass to my map. Ive tried the add table option from the attribute table, but it doesn't quite give what I want (the table must be editable to look a certain way).   Are there any options out there for 10.2 like arcpy.mapping.tableview or will upgrading to 10.3 so I can get access to the "graphic table element" function be best? I plan to attach my 2014 and 2015 annual leave letters to prove I was on leave, and a letter from my sales manager who was in charge of the business during my vacation.  I intend to explain all my sources of income in additional letter because the ECO calculations of my income were different from mine.   How else can I improve my new application? When installing software in debian systems we can put something like this:   sudo apt-get install -y chromium-browser  that way the installation occurs automatically, whitout asking to confirm installation [Y/n]. Can i do the same with pacman? Listing layers from .mxd file using ArcPy for ArcGIS Pro? Flight ticket reimbursement after Travel Warning I've got a round-trip flight with Royal Air Maroc from Strasbourg, France (SXB) to Ouagadougou, Burkina Faso (OUA) on Monday, Nov 10. Return is on Dec 1. The recent turmoils in Ouagadougou have led the US Department of State for Travels to issue a , which is why I'd like to refrain from the trip.  Any chance I can get a reimbursement for my tickets? In Germany (where I live), an official travel warning can help you get a refund when you book a trip with a tour operator/travel agency, but in this case I booked the flight directly with a non-German airline, so German law surely doesn't apply here.  EDIT: Sorry for failing to state this earlier, but I had already called the airline as suggested in the answers. They had told me it's not possible to get a refund with my standard fare. However, I understand that sometimes you really have to bargain to get a refund, so I wanted to learn about similar experiences and possibly about some hard (legal) facts that I could bring forward. I read about the new fancy progress bar which was added to apt 1.0 in  and how to enable it . However on running sudo apt-get update, I did not see the fancy progress bars. On reading the second link again, the solution explicitly requires you to use sudo apt update.  Hence my question is the difference between apt and apt-get. I thought they were one and the same. Was Hogwarts named such because of a connection to warthogs? Was Hogwarts named 'Hogwarts' because of a connection to warthogs?  Or was it named for hogs and warts separately, or something else entirely? download.01.org certificate verification failed - CRLfile missing? So I had intel-Linux-graphics-installer on my computer  but lately when I   sudo apt-get update   I get the following error  Err https://download.01.org trusty/main amd64 Packages                          server certificate verification failed.  CAfile: /etc/ssl/certs/ca-certificates.crt CRLfile: none   Tried reinstalling intel-linux-graphics-installer but nothing happend. And various solutions found here on askubuntu.com on certificates problems but didnt end up anywhere.  Any ideas on how to get that CRLfile? Also is this problem on my side or on the servers side? I'm working with Beamer and I would like to create boxes with round corners. I use \ovalbox, but I would like to control the thickness of the line. How can I do this? I also tried \thinlines, but I still not understand the sintax since I didn't find a minimal example. Word for Party *Steward*? Is there a word that describes a person who is usually not too drunk and takes care of the rest of the folks at a party?  Typically, they're the ones who drag the sloshed ones back to beds, clean up the house and generally maintain a bit of sanity. I want to be able to tell if the mains voltage is on or off with an Arduino.   How could I do this safely with minimal components (or components from Radio Shack)? Duplicate notifications I receive every push notification from the iOS app twice on iPhone. The second comes immediately after the first. This happens every single time.   I also have the app installed on an iPad and signed in to the same account - could this be a possible cause?   App Version: 1.4.0 Device: iPhone7,2 OS Version: Version 9.1 (Build 13B143) No route matches "/users/sign_out" devise rails 3 It would be nice to allow users to mark a change in an answer (or question) as minor (e.g. for a simple spelling or grammar correction). A change marked as minor wouldn't push the question on top of the list of questions on the home page or in the feeds. It wouldn't trigger any notification. This could be implemented with a "Minor change" checkbox when editing an entry (a la Confluence). What do you think? I just installed Ubuntu and it is great.  However, I installed in beside the Windows Vista OS.  I now want to remove Windows in an effort to improve performance.  What is the easiest way to do this? I'm trying to show that for $b&gt;1$, $x&gt;0$ and $x$ irrational, that $$\sup \{b^p:p\in Q,\;0&lt;p&lt;x\} = \inf\{b^q:q\in Q,\;x&lt;q\}$$ I know this follows immediately if we define $b^x=\exp(x\log(b))$ and use the fact that the exponential function is strictly increasing and continuous over $\mathbb R$, but I'm not allowed to do that. In fact, I only have that $b^{m/n}=(b^{1/n})^m$, where $b^{1/n}$ means the positive $n^{th}$ root of $b$; $b^x$ is not yet defined for irrational $x$.  I know that the supremum and infimum both exist because if $b&gt;1$ and $p&lt;q$, then $b^p&lt;b^q$. Also, by assuming that the inf $&lt;$ sup, I got a contradiction. The part I'm stuck on is deriving a contradiction from assuming that sup $&lt;$ inf. Does anybody have any ideas?  Thank you. How to Select Columns in Editors (Atom,Notepad++, Kate, VIM, Sublime, Textpad,etc) and IDEs (NetBeans, IntelliJ IDEA, Eclipse, Visual Studio, etc) "whatever" as pure determiner? My dictionaries and references define, and I've always thought of, one of the functions of the word whatever as a "relative determiner."  In a sentence like, "I will help you in whatever way is possible,"  inserting the relative pronoun "that" between "way" and  "is", or replacing "whatever" with "the" - a pure, non-relative determiner - (I reckon) renders it ungrammatical:     *I will help you in whatever way that is possible.   *I will help you in the way is possible.   However, I do often encounter utterances like the first one above, such as:     My hope and intent is to contribute in whatever way that I can.   I wish to be of service to the local communities in whatever way that is possible.   where "that" is used, and thus "whatever" can be replaced by "the" without  making the sentences ungrammatical (if they are grammatical to begin with):     My hope and intent is to contribute in the way that I can.   I wish to be of service to the local communities in the way that is possible.   Is this usage of "that" with "whatever" wrong, though colloquial? I'm having a lot of trouble figuring this one out.  Determine if  $\sum_{i=2}^{\infty} \frac{(-1)^n}{n+(-1)^n}$ converges or diverges  Both ratio and root test are inconclusive and I'm at a loss. Can anyone help me? I am trying to find all directories in a folder recursively while exclude all git submodules  by excluding all path containing .git file. How could I do it?     Explanation:  .git file exists at the root of every submodules folder. This submodule folder could be included anywhere.    Test Case  $ mkdir Test $ cd Test $ mkdir a $ mkdir b $ mkdir c $ cd a $ mkdir .git $ cd .. $ cd b $ touch .git $ cd .. $ cd c $ mkdir c1 $ mkdir c2 $ cd.. $ find . -type d \( \( ! -name . -exec [ -e {}/.git ] \; -prune \) -o \( \( \  -name .git\  -o -name .vscode\  -o -name node_modules\  -o -name Image\  -o -name Rendered\  -o -name iNotebook\  -o -name GeneratedTest\  -o -name GeneratedOutput\   \) -prune \) -o -print \) | sort    Expected Results  . ./a ./c ./c/c1 ./c/c2