I've been editing out tags from question titles for the past several hours, and I noticed that a lot of questions have that pattern, especially from new users. I don't know who and when decided that it's the way to go, but that is clearly:   Less readable; Obstructs readers' ability to quickly identify key words.   There should be automatic detection of that silly nonsense and notification, maybe even automatic decapitalizing if every or most (~>70%) words in the question title begins with a capital letter.
On  we try really hard to fix spelling, grammar, and capitalization mistakes in question titles in order to avoid the . But occasionally someone enters a question with an all-lowercase title ().  It would be useful if the system could nudge the user toward capitalizing titles property by showing a hint when the user appears to be capitalizing incorrectly. For instance:    As  and  note in comments, the feature should also try to detect and advise against Title Case and ALL CAPS.
The diophantine equation $x^2+y^2=3z^2$ I tried to solve this question but without success:     Find all the integer solutions of the equation: $x^2+y^2=3z^2$   I know that if the sum of two squares is divided by $3$ then the two numbers are divided by $3$, hence if $(x,y,z)$ is a solution then $x=3a,y=3b$. I have $3a^2+3b^2=z^2$ and that implies $$ \left(\frac{a}{z}\right)^2+\left(\frac{b}{z}\right)^2=\frac{1}{3} $$ so I need to find the rational solutions of the equation $u^2+v^2=\frac{1}{3}$ and I think that there are no solutions for that because $\frac{1}{3}$ doesn't have a rational root, but I dont know how to explain it.  Thanks How to solve 'I found no database files--while read file something.aux' Hi I am trying to include references into my paper but it keeps showing the following when I compile. I am using texstudio. Message: I'm skipping whatever remains of this command The style file: plain.bst I found no database files---while reading file term paper.aux Warning--I didn't find a database entry for "Astrov"  My code is like this:   \documentclass[letter,scriptaddress,twocolumn, prl,showkeys]{revtex4}  \usepackage{amssymb, amsmath, amstext, amscd, verbatim, mathtools, graphicx, float, caption, subcaption} \usepackage[utf8]{inputenc} \usepackage{natbib} \begin{document} This is my reference\cite[1]{Astrov}. \bibliography{term paper} \bibliographystyle{plain} \end{document}   They are all in the same directory. I am really panicing about this at the moment and apologize if similar questions have been asked before. Thanks in advance for your help! Suppose $n$ divides $3^n + 4^n$. Show that $7$ divides $n$. Suppose $n \geq 2$ and $n$ is a divisor of $3^n + 4^n$. Prove that $7$ is a divisor of $n$.  My work so far:  I had a hypothesis that if $n| 3^n + 4^n$, then $n = 7^k$ for some $k\in\mathbb{N}$. But this is not necessarily so. Take $n = 7⋅379$, where $3^7 + 4^7 = 7^2⋅379$. Then, $3^7+4^7$ divides $3^n + 4^n$, and since $n$ divides $3^7+4^7$, we must have $n|3^n+4^n$. Over the years I've written some libraries. These libraries sometimes depend on each other.  As a result, the "tex" directory is structured as follows:  tex ├── library |   ├── library1.sty |   ├── library2.sty |   └── library3.sty ├── project1 |   ├── master.tex |   ├── chapter1.tex |   └── chapter2.tex ├── project2 |   └── article.tex └── project3     └── paper.tex   The libraries depend on each other. As a result, in every library that depends on another library, this is part of the header:  %library2.sty \ProvidesPackage{library2} \RequirePackage{../library/library1}   In other words, the library is imported from the "root of every project". This is not a good design choice. What if someone copies the libraries in the folder of the root of a project, or what if the folder "library" is renamed...  It is however reasonable the "active directory" still remains in the project root.  What can be done to resolve such library dependencies? List of all active modules used in a site Formerly List of all badges with full descriptions.  What are badge name's requirements? Why didn't I get badge name ? Which badges can I earn multiple times?    Jump to:                    Note: Some badges are awarded based on score. The term score means the total number of upvotes minus the total number of downvotes.  Any badge with a *** next to it is one of 20 badges that count towards the  displayed on a moderator candidate in an election. The candidate score is a total of 40 points: the first 20 are awarded based on the user's rep divided by 1000 and rounded down; the second 20 represents the total number of unique badges earned of the 20 that count. Note that if the same badge is earned multiple times, it will only count once towards the candidate score.  Any badge with a &quot;(retired)&quot; next to it is no longer awarded, but is retained by users who previously earned them. See  for more info on what it means for a badge to be retired.       Visit the  of the  on any site to see a complete list of badges that you can filter by earned, unearned, or type. unblock slime presta valve My Son's bike has slime inner tubes.  The bike has been sitting in the garage since last summer and the front tyres valve now seems blocked.  Its has what feels like 15-20 psi in it but I can not get the valve to let any air out or take any more in.  I have no idea at this point how to get it to unblock the valve so I can use it again.  For that matter I don't know how I could get the tire off as it has a reasonable (not ridable) amount of air in it without slashing the tyres (nice kings 2.2 which are pretty new).  I have tried putting the pump on it and putting a bit of air into it to try and clear the blockage but that didn't do anything.  Any ideas please? Prove every element of $G$ has finite order. Let $G$ be a group such that the intersection of all its subgroups which are different from $\{e\}$, is a subgroup different from $\{e\}$. Prove that every element of  $G$  has finite order.  Assume that $a$ has infinite order in $G$. Then let $y\neq e$ belong to the intersection of all subgroups of $G$ different from $\{e\}$. Then $y=a^n$ and $y$ will also belong to subgroup generted by $a^2$ hence  $y=a^{2m}$ for some integers $m$. This contradicts that $a$ has infinte order.  Is this correct? What "exactly" happens when someone turns to the Dark Side? When I saw the original Star Wars saga as a kid, the concept of the Dark Side imprinted in me was quite simple. You did a bad thing, so you're a bad person so you go to the Dark Side and keep doing bad things.  Now, obviously this doesn't hold true in reality. In my mind it is perfectly reasonable for Luke to kill the Emperor and Vader and then just flee the Death Star and rejoin the Alliance. After all they are at war, those are enemy officers that have captured him and are taunting him by threatening with death of all loved ones and the whole operation was intended to kill the Emperor anyway.   The same would hold true for Anakin. He could have killed Mace Windu to save the Chancellor and Padme but that doesn't mean he's going to then go mad and kill all Jedis including children. It doesn't add up from a merely psychological point of view. He had a set of objectives and that made him want to keep the Chancellor alive (quite valid by the way, Mace Windu is quite clumsy on that) but just after killing him he goes into "Yes master I'll do whatever you say" which from a normal point of view will NEVER ever make sense.  In both cases it seems like the assumption is once you use the Dark Side you completely turn to the Dark Side and become a different person that you were before. That would be coherent with Anakin "dying" and Vader being born.  Is that the way the Dark Side works? Is there any canon information about what happens when someone turns to the Dark Side? Specifically to whether they become a different person or how he or she actually changes?  Note: Vader is angry after he finds out Padme is dead, even though he's already turned.  Example of what I mean. In Buffy they explain how people that turn into Vampires lose their soul and it's taken over by a demon, and thus they are, in all effects, a different person with their memories. Unable to install Cisco Packet Tracer 7.3 on Ubuntu 20.04 I want to see all URLs that for packages that would be downloaded for apt install &lt;pkg&gt; without actually installing the package.  Normally, the URLs can be extracted from the screen output after installing the package (as above).  An example of a URL I want to list:    Is it only possible to get such list of URLs beforehand by looking through all the apt's package source lists? I'm looking for an example of $2$ non isomorphic groups $G_1,G_2$  that are finitely generated and presented that have the same finite quotients (up to isomorphism) .  Thanks In episode 10 of Full Metal Alchemist: Brotherhood, during the events in the Research Lab 5, Edward Elric is severely hurt. Later in the hospital, he writes down everything he had come to know, and he discusses with Alphonse, Hughes, and Armstrong about what to do with the information to continue the investigation.  At this point, King Bradley arrives with lemon into the room. He finds out what they are doing but acts very calm and chilled out and allows them to continue investigation while being careful.  Why did he not get Hughes and Armstrong killed at that point? Or at least tell them to not investigate at all? What are best practices for blocking UI when application is busy Prove that if prime $p$ divide $a_{2k}-2$, then $p$ divide also $a_{2k+1}-1$. I've lost my portal home, and I am invincible. How can I leave the nether? Invocable method Apex class is not visible in Process builder How do you make Ubuntu accept files sent over bluetooth Removing a list of characters in string Within a custom command, I'm doing the following to write to a file:  \newcommand\mycommand[1]{   \newwrite\file   \immediate\openout\file=foobar.tex   \immediate\write\file{     foo     bar     #1     blarg   }   \immediate\closeout\file }   Of course when I invoke it as \mycommand{baz}, I get the following contents in foobar.tex:  foo bar baz blarg   with all new lines turned into spaces by LaTeX. My question is, is there a way to output these lines into the file "as expected", i.e. with real new lines at the end of each line instead of a space? I'm thinking some \catcode wizardry should do the trick, but I'm not sure which character I need to redefine and to what category code.  Update  The solution in  works perfectly. The only problem is when #1 contains embedded newlines. I can of course send it to mycommand with its own slew of ^^J, I was wondering if there is a way to avoid this.