Prestige level reset to 0 in Modern Warfare 3?
Call of Duty MW3 Prestige token lost
By definition $\aleph_1 = 2 ^{\aleph_0}$. And since $2 &lt; \aleph_0$, then $2^{\aleph_0} = {\aleph_1} \le \aleph_0 ^ {\aleph_0}$. However, I do not know what exactly $\aleph_0 ^ {\aleph_0}$ is or how I could compute it. In case, if I get a multiple-entry Schengen visa in one of the embassies in Ukraine, Kyiv - should my first trip be to the country which issued the visa?  Any there any requirements of this sort? Does this condition vary depending on embassy which issued the visa?  What are the possible consequences on not visiting that country first? Does it somehow depend on country where the embassy is (i.e. non-Schengen and not EU members)? Windows shortcut (.lnk) parser in Java? I'm currently using Win32ShellFolderManager2 and ShellFolder.getLinkLocation to resolve windows shortcuts in Java. Unfortunately, if the Java program is running as a service under Vista, getLinkLocation, this does not work. Specifically, I get an exception stating "Could not get shell folder ID list".  Searching the web does turn up mentions of this error message, but always in connection with JFileChooser. I'm not using JFileChooser, I just need to resolve a .lnk file to its destination.  Does anyone know of a 3rd-party parser for .lnk files written in Java I could use?  I've since found unofficial documentation for the .lnk format , but I'd rather not have to do the work if anyone has done it before, since the format is rather scary. I'm kind of stuck in Terraria. I have full silver armor and 12 hearts (gold/silver gear).  I have just killed the Eye of Cthulhu.  I was thinking about gathering gold armor, but gold is damn scarce. I have tried searching for floating islands (at 406 altitude) but if I go to far I get attacked by Harpies, and I can't build a sky bridge and fight them at the same time.  My meteorite landed in corruption and it's impossible to collect it (I get swarmed by meteor heads with no way to run).  So what is the most natural progression? Should I try and find gold (where?), try to kill the Eater of Worlds, try to mine meteorite or try to fight off imps and collect some hellstone? How is Russell’s Paradox equal to the universal set? Using a transistor as a switch I am attaching a motor to an ATmega32 chip. I want to build an H-bridge but before doing that, I want to control the motor using the chip. I bought few NPN Transistors from RadioShack. I have 5V running though the breadboard. I attached Vcc to the Collector, Base to the Pin, and Emitter to the motor. And other wire of motor is hooked up to Ground. Unfortunately, the power coming out of the transistor is too low, the motor is barely moving (As opposed to when I hook up my motor straight to 5V). What is wrong? Do I need a different transistor or is my setup wrong? If it is the transistor, can you please recommend the right one, I am not too good at those. Write to FIFO only if it exists Can I pass arguments to an alias command? I want to know if I can pass an argument with an alias command.  for example:  alias d="dmesg|grep -iw usb|tail -5"    Now d will print the last 5 lines. If I want to use d to print a different number of lines, I have to make change in the alias command declaration of d again.  Is there any way I can modify the declaration of an alias so that I don't have to retype the declaration to change the number of lines. Like incorporating passing the number of lines as an argument while declaring alias for d? Or is there some other method to solve this? How can I draw annotated braces over and under math expressions? What LaTeX markup would one have to write to produce a result similar to the image below?    Please excuse my Paint-and-mouse drawing skills. :-) Saving Arduino sensor data to a text file How can I save data retrieved from a sensor to a text file on the computer? I was using this:    To try and create numbered examples in my document.  However, when I load it and put the example exe in that link in one of the separate Tex files (Introduction.tex) I include in main.tex, I get:  ./Chapters/Introduction.tex:14: TeX capacity exceeded, sorry [parameter stack s ize=10000]. \gb@ifnextchar #1#2#3-&gt;                        \let \reserved@d =#1\def \reserved@a {#2}\def \reserv... l.14 ... and political news \cite{washington_post}                                                   .  More importantly, when ...   Which is not even referring to the exe example I inserted but a couple of blocks of tex above it.  For info, here is my full code before my document begins:  \documentclass{report} % [fontsize=11pt,border=5pt] % standalone for the tree \usepackage{forest} % This overrides warnings like http://tex.stackexchange.com/questions/52576/difference-between-bookmark-levels-greater-than-one-what-does-this-mean \usepackage{bookmark} \usepackage{amsmath} \usepackage{subcaption} \usepackage{standalone} \usepackage[round]{natbib} \usepackage[T1]{fontenc} \usepackage{lmodern} \usepackage[utf8]{inputenc} % This is for hyperlinks \usepackage{hyperref} \hypersetup{     colorlinks=true,     linkcolor=blue,     filecolor=magenta,           urlcolor=cyan, }  \urlstyle{same} % Not sure why I need to use this % \usepackage{graphicx} % \graphicspath{ {images/} } % \usepackage[pdftex]{graphicx} % fontsize=11pt,twoside]{scrartcl} % This is for numbered examples \usepackage{gb4e}   Would appreciate some help as I feel like my Latex is very messy here. I would like to add texts with halo, in the composer (not in the map). Do you know a way to do it?  I'm using QGIS 2.0.1 Uniform Circular Motion Why does the object not go inward, into the circle if the acceleration is inward? I think its because the velocity to outward? So they sort of cancel each other out? But if the speed is kept constant and the acceleration is inward, won't the object eventially move inward?   Also, what keeps the direction of acceleration always point inward? Notation of the second derivative - Where does the d go? In school I was taught that we use $\frac{du}{dx}$ as a notation for the first derivative of a function $u(x)$. I was also told that we could use the $d$ just like any variable. After some time we were given the notation for the second derivative and it was explained as follows: $$ \frac{d(\frac{du}{dx})}{dx} = \frac{d^2 u}{dx^2} $$ What I do not get here is, if we can use the $d$ as any variable, I would get the following result: $$ \frac{d(\frac{du}{dx})}{dx} =\frac{ddu}{dx\,dx} = \frac{d^2 u}{d^2 x^2} $$ Apparently it is not the same as the notation we were given. A $d$ is missing. I have done some research on this and found some vague comments about &quot;There are reasons for that, but you do not need to know...&quot; or &quot;That is mainly a  notation issue, but you do not need to know further.&quot; So what I am asking for is: Is this really just a notation thing? If so, does this mean we can actually NOT use d like a variable? If not, where does the $d$ go? I found  related question, but it does not really answer my specific question. So I would not see it as a duplicate, but correct me if my search has not been sufficient and there indeed is a similar question out there already. Prove: $$x^\alpha-\alpha x \le 1- \alpha  \\ \forall x\ge 0 \ ,  \ 0&lt;\alpha &lt;1$$   It does resamble Lagrange's MVT, in order to get to the RHS, say $\alpha\in[0,1]\Rightarrow \frac{1-\alpha-0^\alpha-\alpha 0}{1-0}=1-\alpha$.  But I'm not sure what to do about the LHS. I always get a negative value in the LHS and we know that the RHS will always be postive but that doesn't really help with proving it...  Edit: maybe define a function: $g(x) = x^\alpha-\alpha x - 1+ \alpha$ Derive it: $g'(x) = \alpha x^{\alpha-1}-\alpha $ but then I get to $x^{\alpha-1}=0$    Also, I had two questions when trying to figure this out:   Can we use deriviation of both sides of an inequality to prove it ? Can we use limit of both sides of an inequaltiy to prove it ?   Thanks. Sum with parameter convergence I need another LP-E5 type battery for my Canon 450D. Should I buy an original Canon battery or one of the many generic brands available? There are loads of cheapos on , for example.  I should add that the new battery will be added to my existing Canon battery in a battery grip.  Does anyone have any experience (good or bad) of using generic batteries? How do I get the path and name of the file that is currently executing? I have scripts calling other script files but I need to get the filepath of the file that is currently running within the process.   For example, let's say I have three files. Using :   script_1.py calls script_2.py.  In turn, script_2.py calls script_3.py.    How can I get the file name and path of script_3.py, from code within script_3.py, without having to pass that information as arguments from script_2.py?  (Executing os.getcwd() returns the original starting script's filepath not the current file's.) HTML encoding strikes again (but with a twist) - Chat messages inbox notifications aren&#39;t looking good Why didn't Iron Man make Vibranium armor in Iron Man 2? In the movie Iron Man 2, Tony Stark figured out how to synthesize Vibranium. Why didn't he use it to make a new Iron Man armor?