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How do you make your own agar.io skins? I have noticed recently that people have their own skins. Not like the ones where you type in a specific nickname and it gives you a skin but where the people make their own. How do you do it? Shell script zips a folder, but exclude parameters not working IF its run from cron.daily how can i automatically record every terminal session? $\sum_{1}^{n}\left ( a_{i}b_{i} \right )\geq \prod_{1}^{n}\left ( a_{i}^{b_{i}} \right )$ Let $a,b,c,x,y,z&gt;0$ and $x+ y+ z= 1$. Show that $$ax+ by+ cz\geq  a^{x}.b^{y}.c^{z}$$ I have found the generalization of this inequality: For 2 sets of numbers $\left \{ a_{i} \right \}, \left \{ b_{i} \right \}&gt; 0$ and $\sum_{1}^{n}b_{i}= 1$, we have: $$\sum_{1}^{n}\left ( a_{i}b_{i} \right )\geq  \prod_{1}^{n}\left ( a_{i}^{b_{i}} \right )$$ First solution Simply compare the logs: as the natural logarithm is a concave function, one has $$\ln\bigl(a^x b^y c^z)=x\ln a+y\ln b+z\ln c\le \ln(ax+by+cz)$$ for all non-negative $x,y,z$ such that $x+y+z=1$. How about another solution? I really hope to see that. Thanks! sudo credential caching on by default Just installed a minimal ubuntu 12.04, then installed xfce4 and xinit from the command line after first boot.  Totally vanilla installation afaik.  I'm noticing that sudo caches the password until I issue sudo -k to clear it.  This is unexpected behavior in my mind.  I've run xfce4 before and don't recall credential caching being on, nor have I experienced it in the many previous ubuntu installs I've had over the years.  Is this a new feature of Ubuntu?  Is this something that's the result of the minimal install?  Is this an xfce default that's been added recently? I have a question:     Suppose $f$ is continuous and even on $[-a,a]$, $a&gt;0$ then prove that   $$\int\limits_{-a}^a \frac{f(x)}{1+e^{x}} \mathrm dx = \int\limits_0^a f(x) \mathrm dx$$   How can I do this? Don't know how to start. How to create posters using LaTeX Minimal $ab$ for Rational Number $a/b$ in an Interval Given rational numbers $L$ and $U$, $0&lt;L&lt;U&lt;1$, find rational number $M=a/b$ such that $L \le M&lt;U$ and $(a\times b)$ is as small as possible---$a$ and $b$ are integers. For example,    If $L=66/101$ and $U=19/29$ then $M=17/26$. If $L=66/101$ and $U=19/28$ then $M=2/3$.   Right now I'm using a naive search that is exponential in complexity. Is there a better method?  If it is of any help, it can be assumed the prime factorization of numerator and denominator of $U$ and $L$ are known. Do the laws of physics evolve? German language: use of comma in numbers How to combine paths in Java? Is there a Java equivalent for  in C#/.NET? Or any code to accomplish this?  This static method combines one or more strings into a path. I want to merge two shape files in which one is of point geometry type and other is polygon type in order to get a single layer containing both points and polygon in a single map. Geomagnetic reversal? I have always been told that the geomagnetic field acts "as if" there were a bar magnet inside the Earth. I now this is not true, but I feel that knowing what is actually going on would help me understand the answer to the question that I'm about to ask:  Why does geomagnetic reversal happen? Is it something gradual or relatively fast?  (What is the origin of the geomagnetic field? Can we answer my questions starting from this mechanism? Can I attack a specific player? I was in a clan and someone kicked me from it.   I think I'm stronger than him. Is there any way I can attack him? The only method I see to attack is random players. Can I attack a specific player? I'm using code that I found on the .  The only problem is it uses external DLL calls that don't work in mono.  I was wondering if anyone knew of a way to accomplish the same thing as that code, but will run in both Windows using .net, and Linux using mono?  Edit:  Clarifying what I'm trying to do: I'm making a .  The program sits in the system tray and when the user presses the hot-key, it will pop up all the gadgets.  So the program doesn't have focus, so typically it won't catch any keystrokes, so I'm using the low-level keyboard hook and I hook the two keys that the user defines as the hot-keys.  But I'm using a Windows DLL call for that, which doesn't work in Linux using mono.  So I'm wondering if there's a way to do the same thing, but will run in Linux using mono? Postfix SMTP banner show multiple hostnames Why is ATP the most prevalent form of chemical energy storage and utilization in most cells? Mouse rotated 90 degrees Is the op-amp inverting or non-inverting? I am studying the function and characteristic of an op-amp to build a line-following robot with the schematics below. However, in many tutorials, the way to differentiate an inverting and non-inverting op-amp is by looking at the connection to ground via the inverting or non-inverting terminal.  However, in the schematics, the op-amp is considered to have connections to ground, thus in this case, how do I differentiate it then?  I may have understood the whole concept wrongly. Pls help!    EDIT: Please ignore the switch as it may have been drawn wrongly by the supplier. What graduation gown should a PhD-holder wear when later receiving a Master's in another field?