How to extract a component of integer vector / music interval?
How to find solutions of linear Diophantine ax + by = c?
Converting a Java Keystore into PEM Format I am trying to convert from a Java keystore file into a PEM file using keytool and openssl applicactions. But I could not find a good way to do the conversion. Any ideas?   Instead of converting the keystore directly into PEM I tried to create a PKCS12 file first and then convert into relevant PEM file and Keystore. But I could not establish a connection using them. (Note that I just need a PEM file and a Keystore file to implement a secured connection. There is no restriction like "Start from a java keystore file". :) So starting from other formats is acceptable with my case)  But a direct conversion method from jks to pem is preferable. Can anyone tell me how to get my caption on side of my figure, and at the same time aligned with the top of my figure? Print box drawing characters with pdfLaTeX I need to print some unicode characters (of box drawing family) in my document. I found this  that is very similar to mine but is valid only for XeLaTeX. There is a valid way to do this with pdfLaTeX or I have to use XeLaTeX instead? Proving that the Intersection of any Collection of Compact Sets is Compact I was trying to do this problem this way:  Let $\mathcal{B}=\{B_i\}$ be a collection of compact sets. By Heine-Borel, each of the $B_i$'s are closed and bounded. We already know that the intersection of a collection of closed sets is once again closed, so $\cap \mathcal{B}$ is closed.  If I can prove $\cap\mathcal{B}$ is bounded as well, I can use Heine-Borel to say it is compact. So I was not sure how to show it was bounded, but a friend showed me his way of doing it. He did it the following way:  Let $b,a\in\mathbb{R}$ be an upper and lower bound for $B_1$, respectively. Since $\cap\mathcal{B}\subset B_1, a$ is a lower bound for $\cap \mathcal{B}$ and $b$ is an upper bound for $\cap\mathcal{B}$. Therefore, $\cap\mathcal{B}$ is bounded and then by Heine-Borel, it is compact.  My question is on the paragraph right above. I don't understand why what he did means that $a$ and $b$ are lower and upper bounds for $\cap\mathcal{B}.$ Can anyone explain why this is? Thanks. Which one is correct: '3 hour journey' or a '3-hour journey'? Which one of the following is correct (bold part)?      It took us quite a long time to get here. It was 3 hour journey.   or     It took us quite a long time to get here. It was a 3-hour journey. How do I list the default installed packages? This is a  about DNS glue records.   What exactly (but briefly) is a DNS glue record?  Why are they needed and how do they work? Presentation of SL$(n,\mathbb{Z}_p)$ Fibonacci sequence emerging from integer partitioning How do you change from icon to list view in 20.4 Exclamation(!) turned in to question mark(?) in title field I just submitted a question () with an exclamation (!) at the end of the title (with one space between the word and the exclamation) but it turned in to question mark (?).   I removed the space between the word and the exclamation, then it shows normal.   Is this an intended feature? I have a collection of files and directories with strange names, they contain spaces and the special characters \, *, ), ( and ?. All of them cause problems when I try to use them in the command line or scripts, e.g.:    $ cd space dir bash: cd: space: No such file or directory  $ cat space file cat: space: No such file or directory cat: file: No such file or directory  $ cat ( bash: syntax error near unexpected token `newline'  $ echo content &gt;\ &gt; ^C  $ ls ? (  )  *  ?  \   How do I enter file or directory names that contain special characters in the terminal? How does the coin limit work? How to edit `postgresql.conf` with pgAdmin 3? Unexpected Results From Clicking The Unanswered Button Confidence interval interpretation in linear regression when errors are not normally distributed Can I become leader of the Thieves' Guild without finishing the main chain and is there any benefits from being the leader anyway? I completed the quest where you get the Skeleton Key and I don't really want to continue the chain until I've done a lot of the other stuff in the game, since the key is so useful. Brynjolf said before that I would become leader of the guild after everything was over.  Can I become the leader anyway without finishing the Nightingales quest chain? Are there any bonuses for being the leader? As the title suggests, I'd like to prove that the sum $$ \sum_{n=2}^\infty (\ln n)^{- \ln n} $$ is finite.  The root and ratio test both fail here, but  suggests that there is a comparison that can be used to show convergence.  The only thought I have is that it may help to write the terms as $e^{-\ln(n)\ln(\ln(n))}$, but this has not led me to any particular insight.  Any ideas are appreciated. Maximize the product of the partitions of an integer Invert "if" statement to reduce nesting When I ran  on my code, for example:      if (some condition)     {         Some code...                 }   ReSharper gave me the above warning (Invert "if" statement to reduce nesting), and suggested the following correction:     if (!some condition) return;    Some code...   I would like to understand why that's better. I always thought that using "return" in the middle of a method problematic, somewhat like "goto".