$\mathbb{F}$ is a field. What can we learn if $f(x)$ is irreducible while $f(g(x))$ is reducible for $f,g\in\mathbb{F}[x]$? It seems likely to be a duplicate, but I've not been able find previous questions on this problem, so I'm here... Any reference is welcome. Possible outcome, maybe close (as much as I can conjure up):  Then the degree of any irreducible factor of $f(g(x))$ is divisible by $\deg{g}$.
Let $f(x)$ a irreducible polynomial of degree $n$ over a field $F$. Let $g(x)$ be a polynomial in $F[x]$. Prove that every irreducible factor of the composition $f(g(x))$ has a degree which is divisible by $n$.  I don't know even how to begin. I really need help. Thanks
How to access object properties containing special characters? Change pivot or local origin of an object How can I change the local origin of an object, without changing the object location in the world space.  This is the object located at position (0,0,0) in the world space    This is the same object located at position (0,1,0) in the world space, but with its local origin offset so that the object is in the same place    Is there a way to do this in a single step? Is there an editor or IDE (or a script) for substituting the TeX-Commands $ and $$ for opening and closing math regions into the corresponding LaTeX-Commands \(,\) and \[,\]? I'm sure there is a tool - and I'm searching for. I think, this will result in better readable code. A simple search and replace wont do that - but with regular expressions, that should not be problem. I simply do not want to invent the wheel a second time. Given that , I wonder if every intelligent biological species is capable of producing beings that are Force-Sensitive?   Or are there some species characteristics that can make it 100% impossible for them ever to produce a Force-sensitive individual.  NOTE: Let's exclude - if they exist in EU - things like random new-species-creating mutations - e.g. the individual should be 100% the same species, able to interbreed. What does !function ($) { $(function(){ }) }(window.jQuery) do? 'Possible duplicate' comment not appearing for questions with deleted comments containing the link I posted a comment to a duplicate question on . But I decided to delete it. Afterwards I voted as duplicate and thought a comment would be generated like     possible duplicate of ...   But it didn't. My guess is that the duplicate-comment won't be generated if a comment exists with that link, even if deleted. What is this story about 20 y.o. inexperienced "kids" fighting against a stronger foe in space? Years ago (mid 90's) I saw a show on network TV, and I'm trying to figure out what the name of it was. The parts of the plot I remember are:   The crew consisted of 20-year-olds (half were women). They were on some mission when they lose their commander. They must then try to get back home, while being tracked down by a foe in a faster, more powerful ship. One of the main characters turns traitor. He's locked up in the brig pending a decision on his fate. He hangs himself, and his body is incinerated by the crew. One of the main characters plays a video game that basically looks like a visor over his face. While playing the game, he's given an idea on how to outwit their foe by using the laser cannon on their ship to create a holographic projection of a larger ship. In the end, they are about to be destroyed by a torpedo launched from the enemy ship.  The torpedo is destroyed by a laser beam from a friendly capital ship that arrives at the last moment.  I remember there being some sort of romance sub-plot to the show as well between two crew members.    Other non-plot details:   This was live action, not animated. I remember the special effects being quite high-end.   The guns on the ships were manipulated by a person sitting in a gunnery chair. This chair projected a holographic view of the fight in front of him/her. From there the gunner used a joystick and a keypad to control the weapons on the ship.  All the crew wore simple Star-Trek style uniforms throughout the entire program, so no jumpsuits or helmets.    I don't know if this was a movie or a TV show, because I never actually saw the beginning of it. I think I saw at least 45 minutes worth, so it could be either as far as I know.   That's all I remember, other than I think the name of the show was fairly generic (something like "Star Command"). I loved the show as a kid even though I only saw it once. I would like to watch it again and see how lame it really was. Is there an official Marvel Cinematic Universe viewing order? I'm planning on re-watching the currently-released 5 Marvel films prior to seeing The Avengers.  Have Marvel released any sort of official viewing order?  Captain America: The First Avenger seems like the hardest one for me to place in order with the rest.  It takes place prior to the other films, but has the greatest number of references to the other films.  So should it be watched first, or last?  The rest of them are relatively clear, as they're chronological in the order they're released, with the possible exception of The Incredible Hulk and Iron Man 2 happening at the same time. Getting incorrect slope values from an ASTER DEM in QGIS? I have a DEM layer from ASTER satellite and I want to get the slope information from it.  I use terrain analysis > slope, but the output is so wrong. Why is that?  Here is the DEM:     And here is the "Slope" that is totally wrong. It should stretch the values from 0 - 89.9097 but it does not. Slave duplicate counter Is it possible to create a counter that is a "slave" to another (master) counter, but also an exact duplicate?  The \@addtoreset{&lt;slave&gt;}{&lt;master&gt;} resets &lt;slave&gt; whenever &lt;master&gt; is incremented (similar functionality is offered by ), but I don't know about anything incrementing one counter (&lt;slave&gt;) automatically whenever another counter (&lt;master&gt;) is incremented.  The idea is to have a macro (say) \dupcntr{&lt;slave&gt;}{&lt;master&gt;} as an analogue to \@addtoreset. The application for this might be where one is interested in renaming a counter used/provided by a package into something more meaningful for the user (say, &lt;slave&gt;), without having to reference &lt;master&gt;. Or, if the original counter contains @ that needs to be escaped every time it's used, it is sometimes more convenient to have a "more user friendly" counter.  I know one way around is to use a macro that returns the value of &lt;master&gt;, but is it possible to perform the same manipulation with a macro than one could with the counter? Manipulation here refers to the printing of the counter (via \the&lt;slave&gt;) and perhaps it's representation (like \arabic, \alph, ...). Complete local ring which is not complete valuation ring Complete valuation ring is obviously complete local, because valuation ring is always local ring. I would like to know the example of  Complete local ring which is not complete valuation ring  Any examples? I could find example of local ring which is not valuation ring, but the example ring is not complete. Thank you for your help. What does “a couple” mean to you, and what does “a few” mean to you? Do ground seeds contain oil? Where did dedicated.abac.net. come from in my rDNS and PTR records? So I followed this guide to the letter:   I did so for 3 domains.  When I "test" the records and enter: host 64.150.176.81 on my linux machine, it shows me 81.172.150.64.in-addr.arpa domain name pointer 64-150-172-81.dedicated.abac.net.  when it should be showing me 81.176.150.64.in-addr.arpa domain name pointer 64-150-172-81.example.com.  Has anybody encountered a similar problem?  I am hosting with codero, not abac.net btw. We've all wanted to express certain questions, rhetorical or not, with annoyance, excitement, surprise, frustration and so on. What better way than with both a question mark (?) and an exclamation mark (!), right? I've seen two ways of punctuating such questions:  Where is this place?!    Who do you think you are!?  (Things like ?!?, !?!, ?????!!!!!, ??!?!!?!?!!??, etc are irrelevant here.) Which is the proper way to order the two symbols? Or does each of the above two have a distinct and grammatically correct meaning? Or is the interrobang (‽) the clear winner here? ;) How many non-negative integer solutions does the equation $3x + y + z = 24$ have? I would very much like that the the appendix sections of the Table of Contents doesn't have a section numbers, dots, and page numbers. If I do the following  \documentclass{article} \usepackage{tocloft} \addtocontents{toc}{\cftpagenumbersoff{section}} \renewcommand{\cftdot}{} \begin{document} \tableofcontents \newpage \section{Appendix} \section*{Another Letter} \addcontentsline{toc}{section}{Another Letter} \end{document}   then the section "Another Letter" is left aligned, so it doesn't look like the  others.  Question  Is it possible to have "Another Letter" styled the same way as normal TOC entries, but just without section number, dots, and page number? Proof by induction that $ 169 \mid 3^{3n+3}-26n-27$ $ 169$ | $3^{3n+3}-26n-27$ ?  Fulfilled for $n=0$. Induction to $n+1$: An integer $x$ exists so that  $ 169x= 3^{3n+6}-26n-27-26$ $ 169x= 27*3^{3n+3}-26n-27-26$ $ 169x= 26*3^{3n+3}+3^{3n+3}-26n-27-26$  An integer $m$ exists so that   $ 169x= 26*3^{3n+3}+169m-26$ ($ 13x= 2*(3^{3n+3}-1)+13m$)  Now I'm stuck although it looks simple. Thanks for any input in advance. How do you correctly use a meat thermometer? How to move Ubuntu to an SSD