Is an object like $$\int^0_0 x^{-1} dx$$ defined?    Context: when considering functions such as  $$f(x)=\int^{x^2}_xt^{-1}dt$$  would it therefore be necessary to give a piecewise definition of $f$ if we wished to include $0$ in the domain?    A little bit of random speculation, but if the object is supposedly defined to be $0$, then we would be allowed to write something like  $$\int^0_0\sqrt{\text{banana}}\quad d(\text{apple})=0$$  ???
$\displaystyle\int_0^0\frac 1x\:dx$ This integral is defined ? If it define, what is the value ?  Please,step by step
What finite groups always have a square root for each element? Is there any way other than instanceof operator for object type comparison in java? I remember reading in some Java book about any operator other than 'instanceof' for comparing the type hierarchy between two objects.  instanceof is the most used and common. I am not able to recall clearly whether there is indeed another way of doing that or not. Is convex surface normal in cast iron skillet? What is DOCTYPE? How does a zener diode and a resistor regulate voltage? Safety of installing Ubuntu alongside Windows Is it really safe to choose the "Install Ubuntu alongside Windows" option from the Ubuntu installation program?  I never used that option, instead I used other tools such as partition magic or windows 7's disk tool to resize my partitions.  Since I'm going to install Ubuntu across a lot windows (XP, Vista and 7) machines. It would not be nice to damage those Windows partitions.  What is your experience? Can I use this feature without concerns? Uninstall apps locked by phone vendor How can I move all the window controls to the right (or left)? Downloaded Ubuntu tweak and set window controls to the right side. Only some programs follow the rule. Pidgin as an example has window controls on the right. But Chrome, Thunderbird, Geany, still have controls on the left.  How can I move ALL window controls(close/min/max) to the right (or left)? I have the following title page in LaTeX: \documentclass{article}  \title{Appendix A: User Manual}  \author{ John Smith\\University XYZ\\Albert Square\\Walford\\NC1 8AE }  \begin{document} \maketitle \end{document}  What is the proper way to add a new page, say, for the contents page and start editing that new page? Induction proof: $S$ contains powers of 2 and predecessors implies $S={\bf N}$ Let $S$ be a subset of $\mathbb{N}$ such that $$2^k\in S\quad\forall\ k\in\mathbb N$$ and, $$k\in S\Rightarrow k-1\in S\quad\forall\ k\ge2,k\in\mathbb N$$  Show by induction that $S=\mathbb N$. is a typical example for , though it is said that long time no see has been accepted by the mainstream English speakers.  Recently, there is a  movement in the , and a few new Chinglish words have been invented to demonstrate the characteristics of the Mainland.  The most outstanding examples (in my opinion) are:   shitizen - a citizen without citizen rights freedamn - the freedom for shitizens (no freedom) democrazy - the democracy for shitizens (no democracy) smilence - the speeches under the freedamn of speech () z-turn - to make effort in vain ( (Pinyin))   Here are my questions. Has there ever been any neologism movement in the history of English? What are the criteria to adopt new words into English? Having problems with listings and UTF-8. Can it be fixed? has the following ability:     Whenever a creature you control with a +1/+1 counter on it dies, return that card to the battlefield under your control at the beginning of the next end step.   I had a number of creatures on the battlefield, including Marchesa herself, with one or more +1/+1 counters on them when  was played, destroying each creature on the board.  When Marchesa and several other creatures would be killed simultaneously,   Does Marchesa's ability trigger for herself? Does Marchesa's ability trigger for the other creatures under my control with +1/+1 counters?   In attempting to resolve the issue, we tried to look things up, leading to , which cites Rule 603.6d as proving that Marchesa's ability should trigger both for herself and for each other creature with +1/+1 counters.  Unfortunately, none of us could actually understand Rule 603.6d, aside from this example:     Two creatures are on the battlefield along with an artifact that has the ability Whenever a creature dies, you gain 1 life. Someone plays a spell that destroys all artifacts, creatures, and enchantments. The artifacts ability triggers twice, even though the artifact goes to its owners graveyard at the same time as the creatures.   The example certainly seems analogous to me, but without understanding the actual rule, rather than just the example, we weren't too sure.  A complete answer has to not only answer the question, but back up that answer with citation and explanation of the official rules on the matter. $.ajax call working fine in IE8 and Doesn't work in firefox and chrome browsers Shapefile layer no longer editable (toggle edit option greyed out) in QGIS? I showed up here to write a perfectly normal rant about misaligned pixels, and there's a big fat checkbox cluttering up the "Ask" page:    WHAT THE EEEEK IS THIS NEW ABOMINATION? Can a purely biological account of man show a superiority over other animals other than that of belonging to a later stage of evolution or of greater possibilities of action, a superiority “in his very being”? I'm looking for the name of a series of space opera novels I read some time ago, probably between 2003 and 2010.    It may have been published quite a few years before I read it, I don't think it was new at the time. I borrowed the novels from the local library, but I can't find them in its catalogue. I think the covers were fairly dark and plain, though there may have been some artwork on them. There was a totalitarian empire that controlled most planets, possibly ruled by a queen. There was no mention of Earth, the solar system or other real planets, the setting was completely fictional. There were people with psychic/psionic powers, referred to as something like "psi". These people were second-class citizens or slaves. Spaceships were used to travel between worlds. I'm not sure what kind of FTL technology they had, if any. Beyond the edge of the empire was some kind of "dark space", where there was no light. There were some horror themes: When travelling in dark space in one of the novels, a ships crew experienced strange thoughts and hallucinations. I remember finding this quite scary at the time.   Does anyone know which series this could be?  This isn't a duplicate of , since the two questions are about different parts of the same series (the first and second episodes). Setting proxy for apt from terminal Possible Duplicate:          I have tried changing my proxy settings in a terminal as:  export HTTP_PROXY=http://10.1.3.1:8080   and  export http_proxy=http://10.1.3.1:8080   but when I try to install a new package or update apt-get, apt-get starts displaying messages from which it seems it is trying to connect to a previously set proxy:  sudo apt-get update   0% [Connecting to 10.1.2.2 (10.1.2.2)] [Connecting to 10.1.2.2 (10.1.2.2)   I have tried setting the proxy via bashrc file but that din work either. As far as I remember 10.1.2.2 was set using GNOME GUI but I don't have access to the GUI right now so I am trying to set it from terminal. Blender 2.78 with Windows 10 lags when interacting with the UI Update  This has been confirmed resolved in a later version 376.33 and possibly the update prior.     Okay, I recently did a computer update. I used to run Blender 2.77 on a Dell desktop (5 GB RAM, 2.7 GHZ, Windows 8, build in graphics card). Since that computer wasn't fast enough for my preference, I saved up and got a new gaming laptop - the Asus ROG GL552 (Windows 10, 16 GB DDR4 RAM, Nvidia GeForce GTX 960M with 4 GB DDR5 RAM, 2.6-3.5 Ghz, and quad-core intel processor). That laptop has been known to have outdated drivers, so when I got it, I updated it to up to date Windows 10 drivers.  As soon as I started Blender, I immediately noticed its speed. Even doing simple things, like clicking buttons, or rotating the view with the middle mouse button, took too long to register in the program. I tried changing some User Preference System settings, but that didn't really help much. And the hardware seems to be fine - the render is lightning fast (renders the startup scene in under .1 second; it's just laggy when loading the uv screen), so I don't know why it's like this, or what to do. Also, I ran Blender 2.77 on this computer, and it was also slow (although it was fine on my previous computer).  It could be an issue with drivers perhaps (or maybe OpenGL?), but I ran Unreal Engine 4, and had none of the same issues - the speed was pretty decent on that; so I'm not sure why Blender would be so slow. Any help is appreciated - thanks guys!