Divisibility of $a^x - 1$
How to prove $\,x^a-1 \mid x^b-1 \iff a\mid b$
Set same icon for all my Forms Is there any way to set the same icon to all my forms without having to change one by one? Something like when you setup GlobalAssemblyInfo for all your projects inside your solution. Explosive AR(MA) processes are stationary? Let's say I have  on the board. He is a 2/2 that says:  Whenever another creature enters the battlefield under your control, creatures you control get +1/+1 until end of turn.  I play a . It says:  Put three 1/1 red Human creature tokens with haste onto the battlefield. Sacrifice those tokens at the beginning of the next end step.  The sacrifice portion is not important to this question. What is important is how these two cards interact with each other. Playing this card in my first main phase, assuming no counters or other shenanigans by my opponent, I will have my Commander and 3 tokens on the battlefield. What will happen in terms of the power/toughness of my tokens and Commander? Option A The tokens will be 1/1 each. They don't see each other come in at all. The Commander is 3/3, as one &quot;enter the battlefield&quot; trigger happens. Option B The tokens will be 1/1. They don't see each other come in at all, because they weren't on the battlefield to see any of the triggers. The Commander is 5/5, as he saw three &quot;enter the battlefield&quot; triggers occur. Option C The tokens will all be different, with one being 3/3 as he saw the other two come in, one being 2/2 as he saw only the last one come in, and 1/1 as the last one saw none come in. Option D The tokens will all be 4/4, as three creatures entered the battlefield this turn. I am obviously hoping for this option. It may be supported by a ruling on Goldnight Commander that says, emphasis mine:  The creature that entered the battlefield will also get +1/+1 until end of turn if it's still on the battlefield when the ability resolves.  The key being the ability resolving. So my thought is thus:  Thatcher Revolt goes on the stack. Thatcher Revolt resolves, and three separate &quot;enter the battlefield&quot; triggers go on the stack as the three humans enter the battlefield as 1/1. The last (it is a stack) &quot;etb&quot; trigger resolves. This puts an ability from Goldnight Commander on the stack. This resolves and the humans are now all 2/2. The next &quot;etb&quot; trigger resolves. This puts a new ability from Commander on the stack, and resolves with the humans being 3/3. The first &quot;etb&quot; trigger finally resolves, puts a Command ability on the stack, which resolves putting the humans at their final state of 4/4.  Option E The tokens will all be 2/2.  Thatcher Revolt goes on the stack. Thatcher Revolt resolves, and one single &quot;enter the battlefield&quot; trigger goes on the stack. The &quot;etb&quot; trigger resolves. This puts an ability from Goldnight Commander on the stack. This resolves and the humans are now all 2/2.  I would really like to have a complete understanding both of the result and how this result is calculated by the game engine. Low output volume Square and square root and negative numbers Are they equal?      -5 = $\sqrt{(-5)^2}$ Is it possible to download using the Windows command line? Without using any non-standard (Windows included) utilities, is it possible to download using the Windows command line?  The preferred version is Windows XP, but it's also interesting to know for newer versions.  To further clarify my question:   It has to be using HTTP The file needs to be saved Standard clean Windows install, no extra tools   So basically, since everybody is screaming , I want simple Wget functionality, without using Wget. Make CMD-Delete a keyboard shortcut in Apple Mail to move a message to the archive? Commutator of a group What's the difference between $(stuff) and `stuff`? dynamically change UIKeyboards return key Storage order vs Result order Why do I have to click twice to submit a question when Stack Exchange's automated question review has no advice to show? This is terrible . I understand that the motivation behind "Review your question" is quality control, but if there is nothing for me to review, why can't the question be submitted in a single click?  Instead the page jumps back, to draw my attention to possibly this:    But it doesn't stand out in the UI, and if you didn't read that the button said "Review your question", it's hard to see why the page just jarringly jumped back instead of posting the question.  Is it really important for me to know that the automated system didn't find any way to improve my question?  Does Stack&nbsp;Exchange have metrics to see how often the question passes the quality check in the first go?  To add a minor point, as a veteran Stack&nbsp;Exchange user, the system doesn't have any reviews most of the time (in fact, the only time it had one is today while posting this question where it reminded me that one of feature-request, bug, .. tags were required). Reset Windows 10 from USB How to boot WUBI installed Ubuntu within Windows 8? I have Windows 8 Release Customer Preview on my laptop. I tried to install Ubuntu on it with Ubuntu Windows installer (I have always used this to install, although that was on Windows 7), it installs and asks to reboot, then immediately Windows 8 boots up.  I do not have the option to choose what OS to boot. How can I boot to Ubuntu? VM is not exactly what I would like to use, but it is an option, however a last resort. Any help? How can I have a "Dear %firstname%" template in my Gmail? It seems to be a very easy thing but I am struggling to see how. I need a "Dear %firstname%,  [cursor here] Kind Regards etc" template in my Gmail account, so every time I click reply, it is already there. How can I do that? Size and density of neutron stars Most of the books which I looked at give approximately 10 km as the radius of a neutron star. Just yesterday I looked at a book by Dave Goldberg titled The Universe In the Rearview Mirror (2013) which says that they're "only about 5 km in radius" [p.225]. Is this true, [i.e., is there some recent evidence for this], or did he make a mistake here? Avoiding unused variables warnings when using assert() in a Release build Collapsible fieldsets error for previous dates I am new to the glmnet package, and I am still unsure of how to interpret the results. Could anyone please help me read the following trace plot?  The graph was obtaining by running the following:  library(glmnet) return &lt;- matrix(ret.ff.zoo[which(index(ret.ff.zoo)==beta.df$date[2]), ]) data   &lt;- matrix(unlist(beta.df[which(beta.df$date==beta.df$date[2]), ][ ,-1]),                   ncol=num.factors) model  &lt;- cv.glmnet(data, return, standardize=TRUE)  op &lt;- par(mfrow=c(1, 2)) plot(model$glmnet.fit, "norm",   label=TRUE) plot(model$glmnet.fit, "lambda", label=TRUE) par(op) restore table from .frm and .ibd file? I have previously saved a copy of /var/lib/mysql/ddms directory ("ddms" is the schema name). Now I installed a new MySQL on a freshly installed Ubuntu 10.04.3 LTS by running apt-get install mysql-server, I believe version 5.1 was installed. After I copy the ddms directory under /var/lib/mysql, some of its tables work fine, these are the tables with an associated set of three files: a .frm file, a .MYD file and a .MYI file.  However, there are two tables with a different set of files: a .frm file and a .ibd file. These two tables didn't show up in the table list in phpMyAdmin. When I look at the error log, it says:  [ERROR] Cannot find or open table ddms/dictionary_item from the internal data dictionary of InnoDB though the .frm file for the table exists. Maybe you have deleted and recreated InnoDB data files but have forgotten to delete the corresponding .frm files of InnoDB tables, or you have moved .frm files to another database? or, the table contains indexes that this version of the engine doesn't support.   Please help with restoring these two tables. Thanks.