[BIBLIOGRAPHY][RUSSIAN] How can I change the references style?
Is there an (easy) way to create or personalize .bst files?
What is the sum of non-real roots of the polynomial equation? Why is current a scalar quantity? I have been attempting to use identities to get to the answer but I am unable to get anywhere. Here is the equation I am trying to prove tautological without using truth tables:  $[(p\rightarrow q) \land (q \rightarrow r)] \rightarrow (p \rightarrow r )$  And here is my attempt at using identities to work my way up. (a link to a page with a table of logical equivalence identities: )  $\lnot [(p \rightarrow q) \land (q \rightarrow r)] \lor (p \rightarrow r)$  $\lnot [(\lnot p \lor q) \land (q \rightarrow r)] \lor (p \rightarrow r)$  $[\lnot (\lnot p \lor q) \land \lnot (q \rightarrow r)] \lor (p \rightarrow r)$  $[(p\land \lnot q) \land (q \land \lnot r)] \lor (p \rightarrow r)$  I don't know where to go from there. I recently got the book "selected problems in real analysis", and I'm stuck solving the very first problem  $(u_n)$ is a binary sequence iff it only contains $0$ and $1$ in the sequence  Let $A$ be the set of all binary sequences  I have to prove that $A$ and ${2}^{\mathbb{N}}$ have the same cardinality, that is to say there exists a 1-1 function from one set to another  I've thought about maybe considering integers as base-2 numbers  Thanks for your help Can I choose to delay my turn in combat? In D&amp;D 4e there was an option to Delay your initiative:     Perform your actions as desired and adjust your initiative to your new   position in the order.   Does this rule to change initiative order still exist in 5th edition? I cannot find it in the PHB. Prove that $1^2+2^2+\cdots+n^2=\frac{n(n+1)(2n+1)}{6}$ for $n \in \mathbb{N}$. Problem: Prove that $1^2+2^2+\cdots+n^2=\frac{n(n+1)(2n+1)}{6}$ for $n \in \mathbb{N}$.  My work: So I think I have to do a proof by induction and I just wanted some help editing my proof.  My attempt:  Let $P(n)=1^2+2^2+\cdots+n^2=\frac{n(n+1)(2n+1)}{6}$ for $n \in \mathbb{N}$.  Then $$P(1)=1^2=\frac{1(1+1)(2+1)}{6}$$ $$1=\frac{6}{6}.$$ So $P(1)$ is true.  Next suppose that $P(k)=1^2+2^2+\cdots+k^2=\frac{k(k+1)(2k+1)}{6}$ for $k \in \mathbb{N}$. Then adding $(k+1)^2$ to both sides of $P(k)$ we obtain the following: $$1^2+2^2+\cdots+k^2+(k+1)^2=\frac{k(k+1)(2k+1)}{6}+(k+1)^2$$ $$=\frac{2k^3+3k^2+k+6(k^2+2k+1)}{6}$$ $$=\frac{2k^3+9k^2+13k+6}{6}$$ $$=\frac{(k^2+3k+2)(2k+3)}{6}$$ $$=\frac{(k+1)(k+2)(2k+3)}{6}$$ $$=\frac{(k+1)((k+1)+1)(2(k+1)+1)}{6}$$ $$=P(k+1).$$ Thus $P(k)$ is true for $k \in \mathbb{N}$. Hence by mathematical induction, $1^2+2^2+\cdots+n^2=\frac{n(n+1)(2n+1)}{6}$ is true for $n \in \mathbb{N}$. Turning live() into on() in jQuery Usage of :- (colon dash) in bash Can you create diagrams of chemical structures in LaTeX?   Example(s) of "chemical structure diagrams": Temporarily deleted answer missing from asker's inbox I  and . This answer does not appear in my inbox. I never saw a notification, and as of now the latest notification from CS is  {"SiteUrl":"cs.stackexchange.com","FaviconUrl":"https://cs.stackexchange.com/favicon.ico","CreationDate":"17 hours ago","Url":"https://cs.stackexchange.com/questions/641/language-of-the-graph-of-an-affine-function/667#667","Title":"Language of the graph of an affine function","Summary":"Hint:\n\n$53 \\cdot 100000010000000000 + 4 = 5300000530000000004$.\n\nSketch:\n\n\n  ! Assume $a$ has $n$...","Type":"answers","Count":3,"IsNew":false}   This answer was posted, deleted and undeleted while I wasn't online. I suppose the deletion removed the entry from my inbox. Then the undeletion should have recreated an entry but didn't. Same gravatar is displayed for different users in the stackexchange.com , under the Top Network Askers in the right side bar.   The red circled image's source (&lt;img src=) are from   https://www.gravatar.com/avatar/?s=18&amp;d=identicon&amp;r=PG&amp;s=30                                ^   Seems the gravatar id is missing here in the image source.  For an example from the list, the user  gravatar id should be    https://www.gravatar.com/avatar/66c66c4d97a7bc3859a85253f003e1fb?s=18&amp;d=identicon&amp;r=PG&amp;s=30   but it is mapped with   https://www.gravatar.com/avatar/?s=18&amp;d=identicon&amp;r=PG&amp;s=30   which caused the display issue. I would like to know how to write the Exec command of a .desktop file to open a new terminal and execute a shell script in it. The shell script is working and accessible by all users. When launching the script from the terminal everything works, but it doesn't when trying to launch the script from a .desktop file.  Here are some combinations I have already tried:  Exec=gnome-terminal -x sh -c 'echo hello' Exec=sh -c 'gnome-terminal echo hello' Exec=sh -c 'echo hello' Exec=echo hello   The .desktop terminal option is set to true. How to shuffle all songs in iOS 8.4 music app In the old version of the music app you could shuffle all songs when songs were selected:      This feature seems to be absent in iOS 8.4 and the new music app:      What are the options for shuffling all my songs in the new version of the music app under iOS 8.4? I have already read        and many others   But I still have the following problem:   On one hand I've been told that if pure rotation takes place then the object goes on forever. This must imply no frictional force in any form acting on the body. On the second hand I've been told that during pure rotation(no external forces like wind) on a plane surface friction acts opposite to velocity of center of mass (accompanied by change of normal) and slows it down.     Both seem logical enough: The point of contact doesn't slip therefore no friction is required; So no retarding force and it must go on. Things don't go on forever; Friction must be present to slow it down.    So, which hand is correct? Or is there a third hand altogether? How to control your iPad with your Mac remotely? I would like to know, is there a way to control your iPad with your Mac remotely (be able to see and manipulate iPad's desktop on your Mac)? I know that with the TeamViewer or other programs you can control your Mac with your iPad but not vice versa. Why didn't Spock die in The Search for Spock? Was Voldemort a Better Wizard Than Dumbledore? Pursuant to , I have a somewhat related question. The majority of Harry Potter readers automatically assume that Dumbledore must be a better wizard than Voldemort, because Dumbledore is &quot;good&quot; and Voldemort is &quot;evil.&quot; However, would Tom Riddle's prematurely developed skills demonstrate that Voldemort was inherently a better wizard than Dumbledore? In chapter 17, The Heir of Slytherin, Harry challenges Tom Riddle when he claims to be the greatest sorcerer in the world, retorting that Albus Dumbledore is the greatest sorcerer in the world. Harry reminds Tom Riddle that Voldemort is frightened of Dumbledore. Conversely, in Half-Blood Prince, Dumbledore himself states that Voldemort knows perhaps more magic than any other wizard alive. Yet, as Harry is J.K. Rowling's most direct voice, do we conclude that Dumbledore was, in fact, the superior wizard? Who was the better¹ wizard: Voldemort or Dumbledore? ¹Better meaning on a technically skilled level. I have a simple cylinder which is mirrored on both the X and Y axis.  When I scale it along the X axis, the two halves of the cylinder overlap, rather than scale as it would before the mirror modifier was applied:    I haven't used Blender in a while and I know this is a simple fix. How are questions in the 'hot' tab on a site selected? I know questions on the "hot" tab of a site homepage are based on some sort of views/velocity criteria, but does anyone know the actual algorithm used?  Background: I was considering a feature-request about the "hot" tab, but I don't have enough information to speak about it intelligently. Use Yaml for MongoMapper Config