Difference between checking the value of an object's property and checking if a property is in an object
How do I check if an object has a specific property in JavaScript?
dropping ticklabel on pgfplot axis The basic concept of Quotient Group is often a confusing thing for me,I mean can any one tell the intuitive concept and the necessity of the Quotient group, I thought that it would be nice to ask as any basic undergraduate can learn the intuition seeing the question. My Question is :   Why is the name Quotient Group kept,normally in the case of division, let us take the example of $\large \frac{16}{4}$ the Quotient of the Division is '$4$' which means that there are four '$4$'s in $16$, I mean we can find only $4$ elements with value $4$     So how can we apply the same logic in the case of Quotient Groups,like consider the Group $A$ and normal subgroup $B$ of $A$, So if $A/B$ refers to "Quotient group", then does it mean:           Are we finding how many copies of $B$ are present in $A$??, like in the case of normal division, or is it something different ??       I understood the Notion of Cosets and Quotient Groups,b ut I want a different Perspective to add Color to the concept. Can anyone tell me the necessity and background for the invention of Quotient Groups?  Note: I tried my level best in formatting and typing with proper protocol,if in case, any errors still persist, I beg everyone to explain the reason of their downvote (if any), so that I can rectify myself, Thank you. How to use "grep" command to find text including subdirectories Example sentence:     I love when your dog just lets you sit there to pet them. You don’t necessarily know if they are enjoying it, but they love you enough to just sit there with you for a bit.   Is this correct? We assume the words "you" and "your" refer to the speaker of the sentence, and not to the listener, as second-person usually does. But it also refers to dog owners in general. I have always been curious about this. "Learn More" link on tags broken in latest Chrome stable Note: This is identical to , but that bug was declined because Chrome 30 was in dev. Chrome 30 has now been released, and still has this issue.   The "Learn More" link for tags is broken in the latest release of Google Chrome.    If I right-click and open in new tab, I get the tag's page, but just clicking doesn't work.  I'm using Chrome 30.0.15599.69, the latest stable release: Can't find wifi drivers for 0bda:f179 Realtek Semiconductor Corp I'm trying to install wifi drivers for a particular mini wifi card i bought. The output of lsusb is:  0bda:f179 Realtek Semiconductor Corp   I've searched everywhere for drivers, but could not find anything. Any help?  Thanks I'm running into trouble trying to mount a large iso:  dev@dev-OptiPlex-745:~$ sudo mount -o loop /home/dev/Hämtningar/matlab2011a_64.iso /cdrom mount: warning: /cdrom seems to be mounted read-only. dev@dev-OptiPlex-745:~$    Can you tell me how I should do it? Intuition behind why order of a subgroup divides order of a group. What is special about square numbers here? Animations with movie15 and swf files I am trying to use movie15 to embed vector animations in my presentation. The trouble is that embedded SWF files refuse to display on Acrobat Reader X sometimes with a "This Media requires an additional player" message. Eg. this  doesn't work. Animated GIFs won't display either, with no error message.   Maybe this is an Acrobat issue but I tried the flashmovie package with the same SWF files and that does work (but only with the embedded player option so no controls are visible). But flashmovie is supposedly unstable with beamer so I was wondering if someone had run into the same problem with movie15.  I am using Windows 7, Acrobat 10.1.2 and MiKTeX. I've recently read the Yahoo manifesto . They recommend to put the JavaScript inclusion at the bottom of the HTML code when we can.  But where exactly and when?  Should we put it before closing &lt;/html&gt; or after ? And above all, when should we still put it in the &lt;head&gt; section? Switch statement fall-through...should it be allowed? Before:  After:   The pros:  Speeds up the tag synonym voting process. Easier to locate (as opposed to navigating to each individual tag wiki page). Encourages users to vote on more than one at a time.  The cons:  Serial up/downvoting. But this really isn't even an issue because, (1) only experienced users can vote on tag synonyms, and (2) more than one vote is required to approve a tag synonym, so the occasional serial up/downvoter won't significantly impact the overall process. Undergraduate prerequisites for a Ph.d. in combinatorics I am a double major in mathematics and electrical engineering. Towards the end of my mathematics major, I began to develop an interest in combinatorics (specifically graph theory), and am seriously considering a Ph.D. in the subject.   Having developed the interest late, my senior thesis will be in a different topic (complex ODEs), but I would have completed one course in combinatorics/graph theory (an upper-level undergraduate course using a grad-level text - I expect a strong reference from the professor teaching this course).   The courses I have completed are basically both the undergraduate and graduate-level algebra sequence,  analysis in R and R^n (without a formal introduction to Lebesgue measure), discrete math (for EECS), applied probability, one course in numerical methods, PDEs, applied complex variables, and a "mathematical methods for sciences" course (focusing on special functions, variational calculus, and integral transforms).   I won't have the standard math major courses(i.e,  topology, measure theory, and number theory.) I plan to focus more on applications than theory in my combinatorics Ph.D.   Would additional coursework be necessary for a Ph.D. in combinatorics (specifically graph theory)? (I could potentially delay my degree by a year and spend time as a non-degree student at another university, or complete a non-thesis track master's degree before applying for a masters/Ph.d.). Any advice would be appreciated. I would like to know how to make this effect of merged circle selection. Here are images to illustrate:     Basically I'm looking for this effect:    How the merge effect of the circles can be achieved ? I didn't found any explanation concerning this effect. I know that to project those texture I can develop a decal system but I don't know how to create the merging effect.  If possible, I'm looking for purely shaders solution. How to change material's color in blender game engine? Like the subject: short sci-fi story about Earth blockaded by other human colonies.  The best humans have colonized some stellar systems. But they begin to treat humans of earth like inferiors. A war began, colonies won the war and blockaded the earth, but despite this the earth won. Who is the author? How should "do my homework" questions be closed? (Missing "demonstrate minimal understanding") Just recently,  question was posted. Here's the body of the question:     Write a function called highlight() that prompts the user for a string. Your code should ensure that the string is all lower case. Next, prompt the user for a smaller 'substring' of one or more characters. Then replace every occurrence of the substring in the first string with an upper case. Finally, report to the user how many changes were made (i.e., how many occurrences of the substring there were).      What would a script for this be?   This is basically a "do my homework for me" style question. In the past, I would have voted to close this question for lacking minimal understanding and moved on. However, it looks like this close reason was removed, and I'm having difficulty figuring out which alternative to use (if at all).  Here were some of the close reasons I was considering, and ultimately decided against since they didn't seem to precisely match:   Duplicate of    I sort of doubt there exists a precise duplicate of this question -- the question is a fairly specific request for some code. I could maybe link to a duplicate question that answers a part of the original (for example, checking if the string is lowercase), but it wouldn't answer every aspect of the problem. Problem that can't be reproduced/typographical error    This sort of matches, since it asks the user to produce a SSCCEE, but doesn't really match since there isn't even a problem to begin with (and closing a question because I couldn't "reproduce" a non-existent problem feels a bit silly to me) Unclear what you're asking    It's pretty obvious what the user is asking -- I could produce a 5 line script in about 20 seconds that precisely matches his spec. Too broad    The text for "Too broad" states that "There are either too many possible answers, or good answers would be too long for this format". This doesn't apply to this question -- once again, the answer I could give would be fairly short and would closely resemble solutions other people would give.   So, what should I do here? Am I misunderstanding how the close reasons should now be used? Should I use the "other" close reason and explain that the OP should have put in more effort? Should I simply downvote, perhaps leave a comment, and move on? Or is the new policy to embrace these kinds of questions and just post an answer? Please excuse the selfishness of the following question:     Let $G$ be a group and $H \le G$ such that $|G:H|=2$. Show that $H$ is normal.   Proof:  Because $|G:H|=2$, $G = H \cup aH$ for some $a \in G \setminus H$.   Let $x\in G$. Then $x \in H$ or $x \in aH$.  Suppose $x \in H$. Then $xhx^{-1} \in H$ because $H$ is a group.  Suppose $x \in aH$. Then $ahH(ah)^{-1} = ahHh^{-1}a^{-1} = a(hHh^{-1})a^{-1}$ ***1  ***1: Can I say now that $x \in H$, based on the that $hHh^{-1} \in H$ and that $aa^{-1} = e$ ?  Thank you for the time you spent reading my doubts. Understand the meaning of `$_` Could you explain the following sentences from Bash manual about $_, especially the parts in bold,  maybe with some examples?      At shell startup, set to the absolute pathname used to   invoke the shell or shell script being executed as passed in the environment   or argument list.      Subsequently, expands to the last argument to the previous   command, after expansion.      Also set to the full pathname used to invoke each   command executed and placed in the environment exported to that command.     When checking mail, this parameter holds the name of the mail file.