"A Function Can't Be Odd&Even" They said, Right?
Can there be a function that's even and odd at the same time?
I have always recommended pressing ALT+F2 and typing for example gksu nautilus or gksudo nautilus both are equivalent; to run graphical programs with root privileges.  However, I have just installed raring on a test system and this no longer works.  gksu and gksudo are not installed as part of a default raring install; though they are in the repositories. In 12.04 at least gksudo was just a symbolic link to gksu  The reasons I have always done this are because while it is often safe to use sudo under some circumstances it can cause problems with graphical applications because gksu has you running the program as root while with sudo you are running as yourself but with elevated privileges.  This can mean you inadvertently change the owner of critical system files.  This can cause problems.  This reasoning is explained better here:         Why was command removed from a fresh install and what should we be using instead? Solve $x^{5} \equiv 2$ mod $221\ $ [Taking modular $k$'th roots if unique] How do I convert a Word file's references to .bib format How do I convert a Word file's references to .bib format? Is any tool available  to convert it to .bib format? What to put in "affiliation" field when submitting paper without affiliation? Recently my paper is reviewed (by a professor from independent third party) and accepted by a journal. But, my employer allows me to publish this paper only without its name there.  Publishing house is expecting affiliation for each author, i.e. I can not leave affiliation as blank.   What should I write as the affiliation? During The Great Battle of the Last Alliance, there were an estimated 100,000 elves that fought with the armies of Isildur. This was one of the first scenes in the first LOTR movie. However, in the trilogy, it appears that only a small number of elves show up to Helms Deep and overall left the majority of the fighting to the humans. Why did the elves not participate during the rest of the war? Where do the Python unit tests go? If you're writing a library, or an app, where do the unit test files go?    It's nice to separate the test files from the main app code, but it's awkward to put them into a "tests" subdirectory inside of the app root directory, because it makes it harder to import the modules that you'll be testing.    Is there a best practice here? In terminal emulation applications, pressing CTRL + Left / Right arrows jumps from one word to the previous or next one. Is it possible to have the same functionality in a Linux console, whether it is in text or in framebuffer modes?  In my configuration, the CTRL + arrow keys are transformed into escaped character sequences and not interpreted. Strategy for "Which is better" questions In questions that are asking:    "Which is better option A or option B?"  It seems that several close reasons immediately come to mind:   Primarily Opinion Based.  In many cases the choice between A and B is simply a personal preference, a "6 vs. half dozen", either approach will work just as well and answers to this type of question will be almost entirely opinion based. Too Broad.  In some cases A is better and in others B is better, to go through every possible use case would lead to too many possible answers or one answer that reads like a short text book. Off-topic, Minimal Understanding, include attempted solutions.  This is perhaps the the most important one. If the OP needs to know "Which is better", they should probably have tried both and decided which is better, based on a practical trial.   Yet another option would be to downvote and/or comment with a "Try it and find out".  So...  Are there cases when these questions are permissible?   Could we add some more specific guidance in the help center?  Or should we continue to handle these case by case and just downvote/close appropriately when they pop up?  Strongly related, but hopefully not a duplicate of:   "Which is faster" isn't the only case where these pop up. I have just migrated from Windows environment. I have installed Python 3.2 in a separate directory. How can I get the python installation path in Ubuntu shell?  Is there any way I can let the shell know/choose at runtime which python version is to be used for further code execution?  Are there any environment variables and search path kind of things in Ubuntu Linux as well? The formula for a one sample t-test, as given by  is  $t = \dfrac{\bar{x} - \mu_0}{s\big/\sqrt{n}}$  However, in this equation, if the sample standard deviation, $s$, is zero, $t$ will be undefined. Is there any reasonable way to get a $t$ value in this case? How do I change my update server in Ubuntu 18.04? The first thing I did after installing 16.04 LTS was to change my update server to Main Server. I can not find a similar option in Ubuntu 18.04.  How do I change it? I believe there are several ways to prove that $\sum\limits^{\infty}_{n=1}\left(1-\frac{1}{\sqrt{n}}\right)^n$ converges. Can you, please, post yours so that we can learn from you?  HERE IS ONE   Let $n\in\Bbb{N}$ be fixed such that $a_n=\left(1-\frac{1}{\sqrt{n}}\right)^n.$ Then, \begin{align} a_n&amp;=\left(1-\frac{1}{\sqrt{n}}\right)^n \\&amp;=\exp\ln\left(1-\frac{1}{\sqrt{n}}\right)^n\\&amp;=\exp \left[n\ln\left(1-\frac{1}{\sqrt{n}}\right)\right] \\&amp;=\exp\left[ -n\sum^{\infty}_{k=1}\frac{1}{k}\left(\frac{1}{\sqrt{n}}\right)^k\right]\\&amp;=\exp\left[ -n\left(\frac{1}{\sqrt{n}}+\frac{1}{2n}+\sum^{\infty}_{k=3}\frac{1}{k}\left(\frac{1}{\sqrt{n}}\right)^k\right)\right]\\&amp;=\exp \left[-\sqrt{n}-\frac{1}{2}-\sum^{\infty}_{k=3}\frac{n}{k}\left(\frac{1}{\sqrt{n}}\right)^k\right]\\&amp;\equiv\exp \left(-\sqrt{n}\right)\exp \left(-\frac{1}{2}\right)\end{align} Choose $b_n=\exp \left(-\sqrt{n}\right)$, so that  \begin{align} \dfrac{a_n}{b_n}\to\exp \left(-\frac{1}{2}\right).\end{align} Since $b_n \to 0$, there exists $N$ such that for all $n\geq N,$ \begin{align} \exp \left(-\sqrt{n}\right)&lt;\dfrac{1}{n^2}.\end{align} Hence, \begin{align}\sum^{\infty}_{n=N}b_n= \sum^{\infty}_{n=N}\exp \left(-\sqrt{n}\right)\leq \sum^{\infty}_{n=N}\dfrac{1}{n^2}&lt;\infty,\end{align} and so, $\sum^{\infty}_{n=1}b_n&lt;\infty\implies \sum^{\infty}_{n=1}a_n&lt;\infty$ by Limit comparison test. Is the universe fundamentally deterministic? Can you cast a spell at a higher level, even if it doesn't have an "At higher levels" entry? I'm having trouble with \includegraphics I'm using MacTeX Firstly and fore-mostly I am a complete new comer to the world of LaTeX and so please do bear with me. I will try to be as accurate as I can but if you need any more info please let me know.  All I want is to figure out how to import a graphic into LaTeX (MacTeX).  I am using the following in my code:  \documentclass[10pt,a4paper,draft]{report} \usepackage{graphicx}   Then in my document section I'm using   \begin{figure} \includegraphics[width = 50mm]{Name.jpg} \caption{Label} \end{figure}   Once I compile the document, the area for the picture has been allocated but there is no image, I have tried .png and .pdf files also.  I know that this is a very simple question and I hope there is a simple solution but I cannot find anything on the net about this (which may mean I'm being dim).  Also I'm using Latexian but I have tried 4 different editors and it doesn't work in any. Can I publish without affiliation? What is an ultra-wide lens? What is the point at which a lens is considered "ultra-wide angle" vs just wide angle? Where to ask question about hardware? I need a cell that contains an image to also contain a hyperlink.  Following formula is the only one I found but doesn't work (error analyzing formula)  =HYPERLINK("URL", image("URL"))   Following formula I tried shows a blank cell but the link works  =hyperlink("URL"; Image("URL")) Sum of Infinite Series $1 + 1/2 + 1/4 + 1/16 + \cdots$ Everyone knows about the classic  $$ \sum_{i=1}^{\infty} \dfrac{1}{2^i} = 1 $$ However, is there any way to find $$ \sum_{i=0}^{\infty} \dfrac{1}{2^{2^i}} = \dfrac12 + \dfrac14 + \dfrac{1}{16} + \dfrac{1}{256} + \cdots $$