Limit of the $n^{2}\left( \ln\left( 1+\frac{1}{n}\right) -\frac{1}{n+1}\right)$

How can one compute the following limit $$ \lim_{n\rightarrow+\infty}n^{2}\left(  \ln\left(  1+\frac{1}{n}\right) -\frac{1}{n+1}\right) \quad ? $$ I wrote   $$ \lim_{n\rightarrow+\infty}n^{2}\left(  \ln\left(  1+\frac{1}{n}\right) -\frac{1}{n+1}\right)  =\lim_{x\rightarrow0}\frac{\ln\left(  1+x\right) -x}{x^{2}}\overset{l^{\prime}H}{=}\lim_{x\rightarrow0}\frac{\dfrac{1}{1+x}% -1}{2x}\overset{l^{\prime}H}{=}\lim_{x\rightarrow0}\frac{-1}{2\left( 1+x\right)  ^{2}}=-\frac{1}{2}. $$ But how can be a limit of a positive sequence be negative?


Scammed $3,000, bank closed my account due to insufficient funds

I was scammed thinking I was working for a Company that they lied about.  They said that they were going to send me a $3,000 check to cover Office Supplies so that I could get set up for training the following week.  They also had me buy ebay cards from CVS that totalled $3,000.  I tried to explain what happened at the bank but they said it is out of their hands and I owe the $3,000 back and they closed my account.  What can I do now that I am out $3,000 because I got scammed.  I only had $1,000 in my bank account and I don't have any money left?  Should I try to talk with my bank about payments?  I've reported to the Police online and I don't know what else to do.  I have no money now....is there any advice or legal actions I can do?


Why doesn't set or export have a man page?

I tried to look up info on export and set using man and was surprised to see there is nothing. Is this true, or is this something distribution specific? Why is the page missing?


App crash because of NullPointerException

First of all thanks for reading my question.  Right now i am implementing the web services to my android app using OKHTTP. App is running fast if i am using Fast internet. In slow internet I got data slowly thats also fine. But issue is if i switch one activity to another activity without waiting for data in response of data call. At that time it is not able to find the current control and throw the exception NullPointer. what to do in this type of situation to manage the NullPointer Error.  It find the previous activity ui control in Current activity to set data.  FATAL EXCEPTION: OkHttp Dispatcher                                                Process: in.cess, PID: 16535                                                java.lang.NullPointerException: Attempt to invoke virtual method 'void android.support.v4.app.FragmentActivity.runOnUiThread(java.lang.Runnable)' on a null object reference                                                    at in.cess.fragment.WorkRequestCompletedFragment.onResponse(WorkRequestCompletedFragment.java:221)                                                    at com.squareup.okhttp.Call$AsyncCall.execute(Call.java:177)                                                    at com.squareup.okhttp.internal.NamedRunnable.run(NamedRunnable.java:33)                                                    at java.util.concurrent.ThreadPoolExecutor.runWorker(ThreadPoolExecutor.java:1113)                                                    at java.util.concurrent.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:588)                                                    at java.lang.Thread.run(Thread.java:818)   Activity Code for response.  this.getActivity().runOnUiThread(new Runnable() {                     @Override                     public void run() {                         mAdapter = new CallAdapter(getActivity(),movieList,                                 new CallAdapter.OnItemClickListener() {                                     @Override                                     public void onFeedClicked(CallDeatails jobDetails) {                                         Intent i = new Intent(getActivity(), SalesCallDetailsActivity.class);                                         i.setFlags(Intent.FLAG_ACTIVITY_NEW_TASK);                                         i.putExtra(Const.INTENT_DATA,jobDetails);                                         i.putExtra(Const.INTENT_TODAY,"true");                                         getActivity().startActivity(i);                                      }                                 });                         RecyclerView.LayoutManager mLayoutManager = new LinearLayoutManager(getActivity().getApplicationContext());                         recyclerView.setLayoutManager(mLayoutManager);                         recyclerView.setItemAnimator(new DefaultItemAnimator());                         recyclerView.setAdapter(mAdapter);                          txt_total_call.setText("Total Call : "+String.valueOf(movieList.size()));                     }                 });


Your answer is in another castle: when is an answer not an answer?

I think we can all agree, this sucks:  If you've been around a little while, you've probably encountered hundreds of answers like this in various forums, some of them even marked as "The Answer" by well-meaning1 forum admins looking to close a thread. We could try to enumerate the commonly-observed problems with it...  Link is probably broken If link isn't broken, it's spam If link isn't spam, it's to some broadly-related resource that the answerer found by pressing "I'm feeling lucky" when googling the question's title.  ...but the real issue here is that we don't know! Even if the link was originally pointing directly to the most awesomeest answer ever for exactly the question being asked, there's nothing in the answer itself to even hint at what direction we're being pointed in. Strip the markup, and this is what you're left with:  i think you should take The tutorial HERE! This will help you a lot  Is there even one tiny speck of information there? No. Even the title of the page being linked to would have provided something to go on, but that was entirely too much work. So let me be clear: this sort of response is not an answer. If you see this, flag it. Moderators, if you see it flagged, delete it. There's really only one valid exception to this rule, and that's when the question is:  Suggest me some tutorials where i can learn quick.  Don't get me wrong, it's still a bad answer - but when the question is kinda asking for bad answers this is to be expected. Close or flag the question and move on - this is much more efficient than hanging around to babysit it by deleting every crap answer that inevitably shows up. If you're still reading, you're probably getting really bored by now. "Gee, Shog - answers that contain ZERO information are terrible, horrible, very-bad things? What shocking revelations will you share next?" Yeah. It's really simple... Except, . See, the problem is that once you step away from black-and-white "answers / doesn't answer" decision-making, things get... Interesting. And all those other answers with links in them See, this is an answer:  And so is this:  Yes, they're both very short, and yes, they contain links. But strip the markup, and you still get at least a little bit of useful information. Does that mean these answers should forever hang around the site? No, not necessarily - if it turns out they're just not that useful, they should probably still be removed - or at very least, down-voted so that they rank below other answers. Just remember: if the text of the post contains an honest attempt at answering the question, then it is an answer - so don't flag it otherwise, and if you do, don't complain if your flag gets declined. Answers & Apples If you're still confused, forget about answers. Think about apples instead:  Answers are just like that, but less tasty in pies.  1 By which I mean to say, "criminally lazy"


Showing that $ U(2^n) $ is not a cyclic group for $ n \geq 3 $

Could anyone please explain to me why $ U(2^n) $ is not a cyclic group for $ n \geq 3 $? I need help on this because I have an algebra exam tomorrow. Thanks!


how to add a radius to an enemy using A* so it can only detect the player inside it

this might be a simple question but I don't know how to code very well and A* is confusing to me.


using iOS I sometimes like to call 2 functions at random a button press for example, I would use; So sometimes, the user would get  (1) the other time (2) etc.  if (arc4random() % 2 == 0) {  // Do one thing (1)          } else {         // Do something else(2)          }     }   How would I do this within Eclipse/java? In otherwords, what is the same statement but in a Java language?


I'm making a poker game and I have a class which contains a std::map to assign a value for every card on the poker deck referring to its name. I tried to put it as a component of another class as static member, since I have to assign a value every time a card is created, but for some reason when I try to access to it I get compiler error undefined symbol or duplicated symbol.  My partial solution have been declaring the class container as a global variable outside a class scope, but I know it's a bad practice , and if not there is anyway my doubt.  extern Baraja baraja;   For some reason when I declare this as static member or static const member, happens that I cannot access to the values of the std::map or I get compiler error undefined symbol or duplicated symbol so as I have searched in web documentations and cannot find a reason or solution I have this question.  How to correctly create, initialize and access to a static member of a class?


Let $Y_{n} > 0$ for all $ n\in \mathbb{N} $, with $\sum{Y_{n}}= +\infty$.  If $\displaystyle\lim\limits_{n\rightarrow \infty}\frac{X_{n}}{Y_{n}}= a$ then $\displaystyle\lim\limits_{n\rightarrow\infty}\frac{X_{1}+X_{2}+X_{3}+\dots+X_{n}}{Y_{1}+Y_{2}+Y_{3}+\dots+Y_{n}}= a$  I need a idea for solution.  can i supose that $\lim\limits_{n\rightarrow\infty}Y_{n}$ exist ?


Action reaction forces in an accelerating elevator

If an elevator with one man in it, is accelerating as it moves upwards, the reaction force the floor exerts on the man will be more than the weight of the man. Why is that though? Shouldn't the weight and the reaction force be the same, as action reaction forces are always equal?


I just  on an off-topic post on  with 3 different links. Two of them were magic links. I referred a User to [so], mentioning (and linking) the guidelines (on-topic help). And when I looked at the links, they were almost indistinguishable from the normal text:        And here the same, with all three links marked:        For reference, :visited links have this hex-code: #18529a And normal links have: #4e82c2


Prove that function from $S^n \times S^m \to 2S^{m+n+1}$ is immersion

I would like to prove that the map $f: S^n \times S^m \to 2S^{m+n+1}: ((x_1,..,x_{n+1}), (y_1,...,y_{m+1})) \to (x_1,...,x_{n+1},y_1,...,y_{m+1})$  is an imersion. Here $2S^{m+n+1}$ is the $m+n+1$ dimensional sphere with radius $\sqrt2$.   I know that I have to prove that the map $(f_\star)_p : T_p(S^n \times S^m) \to T_{f(p)}(2S^{m+n+1}) : [\gamma] \to [f \circ \gamma]$ is injective but I fail to do this. My initial idea was the following:   Assume that $(f_\star)_p([\gamma_1]) = (f_\star)_p([\gamma_2])$. It holds that $[f \circ \gamma_1] = [f \circ \gamma_2]$ and thus $f \circ \gamma_1  \sim f \circ \gamma_2$. So there is a chart $(U,\phi: U \to \mathbb{R}^p)$ with $ U \subset \mathbb{R}^{n+m+2}$ open such that $(\phi \circ (f \circ \gamma_1))'(0) = (\phi \circ (f \circ \gamma_2))'(0)$. It is easy to see that $f:S^n \times S^m \to f(S^n \times S^m)$ is a homeomorphism and thus $\phi \circ f$ is a chart for $S^n \times S^m$. Thereby $\gamma_1 \sim \gamma_2$ and thus $[\gamma_1] = [\gamma_2]$.   I don't think that this is true because we do not know if $\phi \circ f$ is globally good defined. Can someone help me?   Thanks!


Python regular expression to find pattern that is outside specific HTML tags

I am trying to write a regular expression to get all occurrences of the pattern !\d+ that are not between specific HTML tags.  Example input (available on ):  bla bla !1234 abcd
 every occurrence here should be ignored !12345 but it is not
 here should be captured !54321 but
 here it should be again ignored !76453
 and here again captured !123456   I tried this RE:  (?:<(?P<tag>code|pre)>.*?<\/(?P=tag)>)?(?!<(code|pre)>)*!(\d+)   The logic is this:   (?:<(?P<tag>code|pre)>.*?</(?P=tag)>)?: capture all text between the relevant tags in the first part of the RE, so that if the pattern appears between the tags, it will be consumed by this RE (?!<(code|pre)>)*: Make sure there are no other opening tags between the first part of the RE and the required pattern !(\d+): Match the pattern and grab the number   This does not seem to work, and I don't quite understand why. Numbers between tags are still matched. Why is that?  Thanks.


Am I able to change my GPA once I submit a graduate school application?

I am wondering if I apply to graduate school in US in fall and lets say the due date to submit the application is December 1 and fall quarter grades are posted two weeks after that. Now I am wondering am I be able to update my GPA after positing the fall quarter grades,which is after submitting the application?


Why change in the reputation for the default theme?

I have earned 111 Reputation with 10 Badges, When i try to take the code for Stackoverflow's Flair, I can see only 66 Reputation in the theme : default and the other theme has the correct values, May i know the Reason for it ?


404 Not Found [IP: 91.189.95.83 80] why ??? please help

Err:7 http://ppa.launchpad.net/damien-moore/codeblocks-stable/ubuntu bionic Release   404  Not Found [IP: 91.189.95.83 80] Get:8 http://us.archive.ubuntu.com/ubuntu bionic-updates InRelease [88.7 kB] Err:9 http://ppa.launchpad.net/mc3man/xerus-media/ubuntu bionic Release   404  Not Found [IP: 91.189.95.83 80]


What happened to Jarvis at the end of Avengers: Age of Ultron

Towards the end of Avengers: Age of Ultron JARVIS uploads himself into a lifeless Virbranium android. This process creates Vision. Then before the final battle we see Tony Stark uploading a program called FRIDAY into his suit. During the battle we hear a feminine voice in The Iron Man suit instead of JARVIS'. So did JARVIS cease to exist after uploading himself into Vision? If so did JARVIS know that this would happen, or was it because of the Mindstone?


What is the background in algebraic geometry and representation theory needed for geometric complexity theory?

I'm a mathematics student in my junior year and I'm interested in computational complexity and specially geometric complexity theory. I'm going to learn algebraic geometry and representation theory but I want to consider the parts that are related to geometric complexity theory so I wonder What are the topics that should be mastered by someone who wants to understand geometric computational complexity?  Surely, a lot of algebraic geometry and representation theory are needed, but which topics? and representation theory of what? finite groups? lie algebras(probably not) etc? and which topics in algebraic geometry are needed? It would be great if it is possible to name some topics that are required to be well understood in algebraic geometry and representation theory to before tackling  geometric  complexity theory. naming good resources ( texts etc ) that cover this background will be highly appreciated too.  I have asked the same question on math stackexchange but got no answer, so I thought I should ask it here.


When I use Arrays.toString() on the string aryLines*, it returns: [Ljava.lang.String;@2f67d81 What am I doing wrong, Am I print ing the exact memory location and not the array itself? If so, how do I print the contents of the array?  *The array aryLines is equal to <example><XML><tags>


Apologize that I know there are many similar questions but I am still not satisfied with them so asking a new question here.  For example, there is a sentence like "I saw you doing something".    The above link's guy suggests that this form is possible for sense verbs and infinitive form is actually interchangeable with gerund form. I do understand that and it's clear.  But, how about this: "You being that kind of person harms everybody"? (Sorry I just made a sentence and it has no meaning)  More generally, I am questioning if it's possible to use  noun + infinitive/gerund + object   as a noun phrase.  It's always confusing.


I am getting complaints that I consume lots of internet bandwidth.  Is there any software that can limit internet bandwidth on my computer from my own computer? I use Firefox as browser and use bittorrent and download software from software center.  (Is there also a way to monitor it?)


Can a slower device slow down the entire wireless network?

My uncle told me that if a slower device connects to a wireless network, the entire network slows down more than can be attributed to the bandwidth being split even further.  So a network with 2 existing connections would have the existing connections slowed down more by an iPhone 4 connecting than an iPhone 6 connecting because the iPhone 4 is slower than the iPhone 6.  Is this true?


Can anybody see answers that I've deleted?

When I delete an answer, I still see it and have the option to undelete it. Can anybody else see my deleted answer?


Now, I encountered a sentence in a text book, saying     Many fish are specially adapted to live only in certain places.   I know that plural of the word fish can be fish as Merriam says    But wouldn't it someway or somewhat sound unusual or "too unique"?  Is it only to me?


Warning regarding suspicious file on C:\

I have a strange warning message that happens on startup of Windows 7.   It has started only recently and says there is a problem with a file on my computer called C:\Program. It also says renaming it C:\Program 1 would fix this problem. To be precise,     File Name Warning      There is a file or folder on your computer called "C:\Program"   which could cause certain applications to not function correctly.    Renaming it to "C:\Program 1" would solve this problem.    Would you like to rename it now?                           (Rename) (Ignore)   I took a screenshot of this dialog:     So far I have said not to rename it, before I know what it is.  This is what the file looks like in Notepad:  4 ›˜ýÒc?¾Bº3Ldgk/Œ$Oð½      ñ½  ½ÛéÕŽÄl(   ò½  ê¢ñ6£b(   ó½  ;¿¤¸îX (   ô½  ÞÞµkæ (      These are the General properties of the file:     I cannot find anyone on the Internet with the same problem as me and would like advice on whether to leave, rename or delete this file. I also want to know what it is.


How to Round 46.565 to 46.57 in Java? (no ceiling)

I've been using Math.round and everything seemed fine until I noticed that any number that ended in "5" wasn't rounded.  double roundtotal = Math.round(total * 100.0) / 100.0;   Which rounds to 2 decimal places, but doesn't round 46.565 to 46.57 for example  Can anyone help?


A square with edge length 2 cm has semicircles drawn on each side. Find the total area of the shaded region.   Here is an image of the diagram shown :       Please show your work in pictures, numbers, words, anything. (Try to keep it to a Grade 8 level too)


I have a problem with "sendmail". So if I type in:  echo "something" | sendmail -v "test mail" myemail@yahoo.com   I get the message:  Mail Delivery Status Report will be mailed to <root>.   But when I check the email there is nothing new. Can somebody help me, please?


How to have a even thickness around the mesh

Why the mesh not have even thickness all over the mesh with solidify modifier. At the bottom the rectangular shape its not having even thickness. I tried all the options in the solidify modifier (simple, complex) etc. All the face are all oriented in same direction. May i know whats going wrong with the mesh. Any suggestion or help. Thanks


BigDecimal initialized with integer literal with leading zeros

Kindly help me in understanding the following code,      BigDecimal d = new BigDecimal(000100);     System.out.println(d); // output is 64!!!!      BigDecimal x = new BigDecimal(000100.0);     System.out.println(x); // output is 100   Shouldn't we use BigDecimal to process int or long value in any scenario? (I mean leave about performance and stuff, I know its not advisable to use BigDecimal to process only int or long). My data has mix of both long and decimal values, so am trying to know about BigDecimal.


Synchronizing a RDS instance with another RDS instance

I have a database on an RDS Instance (master) that needs to be synchronized to another RDS instance (slave). I created a read-replica for the first one, but that is created as read_only so I cannot do any operations on it.  Basically, I'll need to create a few other databases on the slave instance as well so that needs to be non-read-only. I'll also need to setup sync to happen once daily.  I am using MySQL 5.6+.


Landing at one U.S. port, but ultimate destination is another city - problem?

I am travelling to the University of Dayton (first time), but for this time I am not landing in Dayton. I am landing in Charlotte, and will be going to Dayton a week later. Will there be any problem at the port of entry?


When you lift a box from the floor, the potential energy changes but kinetic energy does not change. Does it violate conservation of energy?


Infinitely many primes of the form $3k-1, \ k\in \mathbb{N}$

How to prove that there exist infinitely many primes of the form $3k-1, \ k\in \mathbb{N}$?  I know the proof that there exist infinitely many primes of the form $3k+1$, but I don't know how to do it in this case.  I tried to use:  Let $p_1,...,p_n$ be primes of the form $3k-1$. Then $N:=(3p_1\cdot \cdot \cdot p_n)-1$ is of the form $3k-1$ and $N$ must have at least one prime divisor of the form $3k-1$.   But $N$ is not divisible by any primes $p_1,...,p_n$.   So $N$ is a prime of the form $3k-1$ outside $p_1,...,p_n$.  This procedure can be continued indefinitely, so there exist infinitely many primes of the form $3k-1$.  Is this correct? Or is there something missing or wrong?


How can I get admin access to a Mac without knowing the current password?

My Father died last year and I inherited his Mac Mini. My wife has retired and we are trying to set up the mini for her use but the changes we want to make require admin access and we do not have the information my father used to set up the machine.  Is it possible to reset the admin information without having the old information? If so, how would I go about it?   I am not a Mac user usually so any guidance will have to be pretty simple!


Will freezing affect the quality of a dry-aged steak?

I'm used to buying moderately-priced meat from the supermarket, with which I can generally never tell the difference between fresh and frozen - it's maybe a little tougher after freezing but that's about it.  Today I happened to be in the area of a good butcher and decided to splurge on a couple of dry-aged ribeye steaks. The first one was, of course, delicious, but I may not have time for a home-cooked dinner during the next few days, so I'm considering freezing the other steak.  Will freezing do anything to ruin or diminish that unique dry-aged flavour and give it the same taste and texture as the supermarket fare? Since dry-aged steaks are already, well, dry, will the additional water loss from freezing turn it into inedible shoe-leather? Should I be worried about anything else?  Or can I just toss it in the freezer for a week?


How do you use forms to populate content type fields?

Drupal 7. Custom module. I have a content type 'RFI' with a handful of fields I created with Drupal UI. I want a user to: fill out a form & click submit while drupal: saves fields to database, creates a new node of 'RFI' and populates the fields of the node with the content provided by the form's corresponding fields.  From what I understand:  Build a form with fields (taking from the 'DBTNG examples' module just for clarity):  function rfi_build_form($form, &$form_state) { $form = array();  $form['add'] = array( '#type'  => 'fieldset', '#title' => t('Add a person entry'), ); $form['add']['name'] = array( '#type'  => 'textfield', '#title' => t('Name'), '#size'  => 15, ); $form['add']['surname'] = array( '#type'  => 'textfield', '#title' => t('Surname'), '#size'  => 15, ); $form['add']['age'] = array( '#type'  => 'textfield', '#title' => t('Age'), '#size'  => 5, '#description' => t("Values greater than 127 will cause an exception. Try it - it's a    great example why exception handling is needed with DTBNG."), ); $form['add']['submit'] = array( '#type'  => 'submit', '#value' => t('Add'), ); return $form; }   Here the form fields are saved to database with database API.  function rfi_build_submit($form, &$form_state) { global $user;  // Save the submitted entry. $entry = array( 'name'    => $form_state['values']['name'], 'surname' => $form_state['values']['surname'], 'age'     => $form_state['values']['age'], 'uid'     => $user->uid, ); $return = dbtng_example_entry_insert($entry); if ($return) { drupal_set_message(t("Created entry @entry", array('@entry' => print_r($entry, TRUE)))); } }   Now here is how I know how to create a node of RFI type. How do I take the values of the fields above [name], [surname], [age] and have them related to corresponding fields in my content type?  function rfi_build_type($form, &$form_state){ $node = new stdClass(); $node->type = 'rfi'; $node->name = ''; $node->surname = ''; $node->age = ''; $node->language = 'en'; $node->uid = 1; node_save($node); }   I was thinking that since the fields have been saved already, that I could use a database query to get these values, but intuition tells me I'm overlooking something.  Thank you!


Help or Assistance? Are these interchangeable?

In a work setting, which of the following is more acceptable to say in email messages?        Thanks for your help   Thanks for your assistance


List Distributions default programs with short description

I was wondering How one can list (or if there is an online list) of most important/popular (alternatively all) default installed programs/packages in ubuntu? I know how to list packages, but many I don't know what they do.  Something like this, but for the actually installed system (in my case 13.10):   Is it possible to generate, of course maybe not by category?  thanks! T


Can't install with "apt install liblapack* libblas* libopenmpi*"

After upgrade to Ubuntu 20.04 cannot install lapack, blas, openmpi with apt. In earlier Ubuntu versions, procedure was simple: apt -y install gfortran apt -y install build-essential liblapack* libblas* apt -y install openmpi* libopenmpi*  Doing this in 20.04 only gfortran ended successfully. Let me remind you Sheldon Cooper's "Oh Ubuntu! you are my favorite Linux-based operating system". So don't lose your reputation among nerds.


Least impact upgrade to latest ubuntu from old version

I am looking to upgrade from 13.04 to the upcoming 13.10 but have a few questions about how to handle the upgrade whilst having the least impact on my current setup.   I have these partitions on my brand new SSD :   /boot - 512 MB / - 30 GB / - 30 GB (for alternate install, I like to try different distros on my laptop) /usr/local/bin - 20 GB (contains all my dev env binaries like java6, java7, ant, sbt, eclipse, sublime text etc., manually installed by me) /home - 65GB swap - 8 GB (same as RAM) data - remaining 70 GB   I have windows that came with the laptop installed on my slower 7200rpm spindle disk and am using its remainder 400GB as my primary data storage.   I am looking at the easiest way to upgrade with a clean install to the latest version of ubuntu while keeping the following intact :   (done) home folder (including ssh keys, wine, all user configurations, etc.) user defined env variables used for development (pointing to /usr/local/bin in ~/.zshrc for making commands like java, scala, ant etc available on CLI) programs installed like f.lux, shutter, guake, clipit, terminator, git etc. startup applications like skype, bitmessage, dropbox etc.  (done) custom ppa packages added installed and configured app indicators  Should I change my partition strategy? im not aware if there is a better way of partitioning the disk to install all the operating systems according to my requirements. What should my backup policy be? Should I create another partition on my spindle disk to save local backups? How big should it be? What folders should I backup?   To partially fill in the blanks for Q1. : I found  which helps in recovering the ppa list and installed packages. There is also  with a similar motive.  So my problem of ppa, installed packages, home directory is resolved. But im concerned about my /usr/local/bin, my startup applications and my installed app indicators. If my dev environment remains unaltered im happy.


What is the "explosion" caused by Hawking radiation, and how do you calculate its strength?

According to my limited knowledge of Hawking radiation, there is an "explosion" when the black hole fully radiates away.   What is this explosion? Is it in the form of EM radiation only, or something else as well? Is it even a traditional explosion? What does this explosion affect? If a black hole exploded in downtown Manhattan, for example, what would happen? How would you calculate this explosion's strength? For example, if the black hole started at $x$ kg, how would you calculate the strength of this explosion (preferably in a unit like 'kilograms of TNT' to contrast against other kinds of explosions.)


Receiving mail for an account that isn't mine

My Gmail account is formatted as Firstname.LastName@gmail.com. However I have been receiving emails addressed to: FirstNameLastName@gmail.com.  It's been going for a little while, but now over the last couple of months it has become worse. I was letting the senders know. I'm afraid some of my email may be going to this other person's mailbox!  What can I do?


Integrate $\int \frac{x^2}{(x \sin x + \cos x)^2}dx$

Integrate $$\int^{\pi/4}_{0} \frac{x^2}{(x \sin x + \cos x)^2}dx$$  How can I integrate this ?   Question asks us to re-arrange the numerator


How to evaluate the integral $\int_0^{\pi}\frac{a^n\sin^2x+b^n\cos^2x}{a^{2n}\sin^2x+b^{2n}\cos^2x}dx$?

Evaluate the integral $$\int_0^{\pi}\frac{a^n\sin^2x+b^n\cos^2x}{a^{2n}\sin^2x+b^{2n}\cos^2x}dx.$$   I have no idea.   $$\int_0^{\pi}\dfrac{a^n\sin^2x+b^n\cos^2x}{a^{2n}\sin^2x+b^{2n}\cos^2x}dx=\int_0^{\pi/2}\dfrac{a^n\sin^2x+b^n\cos^2x}{a^{2n}\sin^2x+b^{2n}\cos^2x}dx=\int_0^{\pi/2}\dfrac{a^n\tan^2x+b^n}{a^{2n}\tan^2x+b^{2n}}dx$$  I try the substitution $\tan{x}=t$, but it doesn’t work.


Equation with Fractions and with Text and Numbers

I need to introduce the following formula in a Latex document, I've been consulting several online manuals, but I can't find anything. I hope you can help me.


If $\mathbf{A}$ is a $2\times 2$ matrix that satisfies $\mathbf{A}^2 - 4\mathbf{A} - 7\mathbf{I} = \mathbf{0}$, then $\mathbf{A}$ is invertible

$\mathbf{A}$ is a $2\times 2$ matrix which satisfies   $\mathbf{A}^2 - 4\mathbf{A} - 7\mathbf{I} = \mathbf{0}$,   where $\mathbf{I}$ is the $2\times 2$ identity matrix. Prove that $\mathbf{A}$ is invertible.      Hint: Find a matrix $\mathbf{B}$ such that $\mathbf{A}\mathbf{B}=\mathbf{I}$.   I tried substituting a variable matrix for $\mathbf{A}$ and substituting $\mathbf{I}$'s value into both the original equation and the hint, but the result was full of equations and didn't seem to help much at all. I would appreciate advice for this problem.  Thanks. --Grace


Hypothesis test for difference in medians among more than two samples

Question  The test scores of three groups of people are saved as separate vectors in R.  set.seed(1) group1 <- rnorm(100, mean = 75, sd = 10) group2 <- rnorm(100, mean = 85, sd = 10) group3 <- rnorm(100, mean = 95, sd = 10)   I want to know if there is a significant difference in the medians between these groups. I know that I could test group 1 versus group 2 using the Wilcoxon test, like so.  wilcox.test(group1, group2)   However, this compares only two groups at a time, and I would like to compare all three simultaneously. I would like a statistical test that yields a p value at the 0.05 significance level. Could someone please help?  Edit #1 - Mood's median test  Following user Hibernating's suggested answer, I tried Mood's median test.  median.test <- function(x, y){     z <- c(x, y)     g <- rep(1:2, c(length(x), length(y)))     m <- median(z)     fisher.test(z < m, g)$p.value }  median.test(group1, group2)   However, this approach allows me to test for a significant difference between the medians of only two groups at a time. I am not sure of how to use it to compare the medians of all three simultaneously.  Edit #2 - Kruskal-Wallis test  User dmartin's suggested answer appears to be more or less what I need, and allows me to test all three groups simultaneously.  kruskal.test(list(group1, group2, group3))   Edit #3  User Greg Snow helpfully notes in his answer that the Kruskal-Wallis test is appropriate as long as it makes strict assumptions that make it also a test of means.


Looking for a sci-fi about life after death

I read this short story around 10 ago and haven't been able to find it ever since.   The hero of the story is a prolific scientist in some mathematical field, and he dies at around page 1. His soul is however conserved by "god", who then proceeds to reveal the big plan. Basically the "god" collects the souls of great minds, and everyone else just fades into oblivion. These souls then have to work for eternity and help "god" find out where he came from. In the end of the story the hero refuses to cooperate and swears to spend his eternity finding a way to destroy "god".  Please help me find it.


How do I change the language of the German version of Fallout 3 to English?

I have Fallout 3 GOTY on Steam and it's in German. Low-violence version doesn't bother me, but the fact that I can't change the game's language to English.   I want to play the game as it was intended to be and not with the poor German replacements of word jokes, etc. So does anybody know how to change the language to English? This could be through an English language patch or mod, or the English game files.  EDIT: There is no option in Steam to change the language.  EDIT 2: I have already tried all "legitimate" options, the only possible way would be to replace game files or apply a language patch  EDIT 3: Steam provides me only with the german low-violence gamefiles.


Make Mac OS X "Option-Arrow" work like Windows "Ctrl-Arrow"

I rely on the "Ctrl-→" command on Windows to navigate my way through text documents.   This useful key-combo will quickly bring me to the beginning of the next word. For example, the following sequence illustrates what would happen to the cursor location after successive presses of Ctrl-→ (the "^" will represent the cursor):  ^The quick brown fox jumped over the lazy dog The ^quick brown fox jumped over the lazy dog The quick ^brown fox jumped over the lazy dog The quick brown ^fox jumped over the lazy dog The quick brown fox ^jumped over the lazy dog ...   And, if I start pressing the ← instead, it will move the cursor to the exact same spots in the document, just going the other direction (which is ideal because the position of the cursor is predictable, which leads to me being faster at making my edits):   The quick brown fox ^jumped over the lazy dog The quick brown ^fox jumped over the lazy dog The quick ^brown fox jumped over the lazy dog The ^quick brown fox jumped over the lazy dog ^The quick brown fox jumped over the lazy dog ...   Mac OS X has a similar keyboard shortcut (Option-→ - I mapped "Ctrl" to "Option" specifically so I could get this same functionality in the way I've become accustomed to).   However, "Option-Arrow" brings me to the end of the current word when using the right arrow key, as illustrated here:  ^The quick brown fox jumped over the lazy dog The^ quick brown fox jumped over the lazy dog The quick^ brown fox jumped over the lazy dog The quick brown^ fox jumped over the lazy dog The quick brown fox^ jumped over the lazy dog ...   And, what's worse, going the other direction doesn't bring you back to the same spot as moving forward, it brings you to the start of the last word:   The quick brown fox^ jumped over the lazy dog The quick brown ^fox jumped over the lazy dog The quick ^brown fox jumped over the lazy dog The ^quick brown fox jumped over the lazy dog ^The quick brown fox jumped over the lazy dog ...   This is extremely frustrating for me, as I need to switch between Windows and Mac often, and very rarely do I want to go to the end of the current word (why would I want that, unless I'm holding "Shift" as well?). I always want to skip to the beginning of the next word.   I'm willing to go to some lengths to make the Mac version work the same way (purchase software, write a custom Applescript command tied to these keyboard shortcuts), so I'm looking for suggestions.   Are there any existing tools that will change this for me?   How would you suggest "fixing" it?  Thanks  EDIT  I was able to make a "Service" in Automator, and used the following AppleScript:   on run {input, parameters}      tell application "System Events" to key code 124 using {option down}     tell application "System Events" to key code 124  end run   Then I tied this Service to the "Command-→" keystroke using the "Keyboard" settings in System Preferences.  However, for this to work I have to take my finger off the Command key.. which makes it sorta pointless. It's also slow, and don't seem to work in the application I most need it to work in (Xcode).


Setting default values (conditional assignment)

In Ruby you can easily set a default value for a variable   x ||= "default"   The above statement will set the value of x to "default" if x is nil or false  Is there a similar shortcut in PHP or do I have to use the longer form:  $x = (isset($x))? $x : "default";   Are there any easier ways to handle this in PHP?


What are the requirements for Ubuntu desktop?

I have a somewhat old pc on my hands and i wanted to install Ubuntu, the installing is not the problem but Ubuntu says (at boot) that i do not have enough ram memory. What are the requirements actually?


I've got 15 devices each with a current of 20mA and I am interested in running them all for 10 seconds. How would I go about working out the amount of mAh a battery would need to provide for this?   I understand that to find the mAh to run something for an hour you take the current and multiply it by 1000 and so my understanding of his problem was that you could get minutes by multiplying by 100 and then seconds by 10. So What I thought I needed to do was something like this:  15 x 20mA = 300mA/0.3A   0.3 x 10 = 3  3 x 10(seconds of runtime) = 30mAh   However I am not sure if this is right, so I would be grateful if someone could look it over and point out my mistakes.


Is there such a thing as the set of "definable" numbers?

So, as I understand it, computable numbers are countable since you can order the set of Turing machines that compute a number based on their Gödel number and thus count the numbers they compute. This means there are "as many" numbers that cannot be computed by a Turing machine as there are real numbers. Further, I noticed that the description or the definition of a real number is also finite (or at least can be, I haven't gone down the mental rabbit hole of figuring out what it means to have a non-finite definition for something). This means you can Gödel number them, order them, and then count all the numbers that can ever be described or defined with finite means, which then means there are again "that many" real numbers that can't ever be defined (which also means "most" real numbers can't ever be thought of or known to exist individually).  I was thinking whether there are numbers that can't be computed, but can be described and I found one. Order all Turing machines by their Gödel number and assign a natural number to each of them. Define the number  h ∈ [0, 1] as having a 1 as its i-th decimal/binary digit if the i-th Turing machine halts and 0 otherwise. Then h is a unique real number, but evidently non-computable, since the halting problem cannot be decided.  I'd like to know whether I've made any mistakes anywhere in my reasoning. Otherwise I'd like to know if such a set of numbers already has a name, what other numbers or sets of numbers does it contain that are not computable, if this bears any significance at all or if it makes any sense to define this set and what other sets can be naturally thought of as being steps following rational, transcendental and computable number on the way to the reals.  Any improvements on this post are welcome.


Searching across ALL sites from the Android app

When using the Stack Exchange Android app, it is not possible to search for a specific word or topic across all the sites (you have to pick a site first then search for the problem).  But It's possible to search for a specific question or word in Stack Exchange in Google, by typing the question and adding "Stack Exchange" at the end of it, and  also got "search all sites" option: (using Google custom search)        Can such functionality please be added to the android app as well? It's hard to know where I can find an answer for some questions or words.


Can i use a high ampere battery power bank than my tab's actual input

I recently bought a new battery power bank but its output is 5V 3.1A. But my tab's input is 5V 2.0A. Is it completely safe to use it with my tab or is there any danger or risk.


Can't set major radius of a torus to anything larger than 1 meter

I am modelling in Metric mode. I added a torus in Edit mode and it will not allow me set set the Major radius to anything larger than 1 meter. If I type in a value greater than 1m, it just changes back to 1m and clicking the arrows on the size control will not increase it past 1m.  This is probably stupid, but is there some setting that I might have activated to prevent larger sizes? I've double checked that snapping is off, so I'm stumped.  What could I be doing wrong?  Additional info: I have the scale of the metric units set to 0.01 and this seems to be the cause, but why?  Steps to Reproduce:   Create new project Delete default cube Set scene to Metric units with scale of 0.01 Add a torus   At this point the Major radius of the torus cannot be made larger than 1 meter.  More information:  If I change to metric units but do not set the scale, then the major radius of the torus is capped at 100m.  If I do not change to metric unit but instead stay with Blender units, then the major radius is capped a 100bu.  This seems to be an arbitrary limit.  Is there any reason for this limit?


Android App doesn't notice when I've signed up to a site

On Friday, I joined the  on a PC in order to . The Stack Exchange app was open on my phone already at this point, and I did not exit it.  Later on, I got a notification on my phone about having received an answer. It was a good one! When I tried to upvote the answer using the Android app, though, I wasn't allowed to: it said I hadn't joined the site, apparently not having caught up with the fact I had done so a couple of hours beforehand.  I apologise for the  in these screenshots. :) I plugged it in to charge minutes later, I promise!        When I said I wanted to join, though, I couldn't, unsurprisingly, on account of already having done so:        I closed the app entirely and reopened it, and then the app was happy that I was a member of Anime & Manga. But it wasn't updated whilst the app was running.  The app should probably get informed of this. (Though this may be low priority due to not occurring all that often.)  This occurred on the Android App v1.0.51 on a HTC One running Android 4.4.3.


What size and type wire should be used for 100 ft away work shop

I built a shed a while back and. now I'm ready to get power to it.  I have a 50 amp GCFI breaker, that I plan to run the service line from to the shed. The shed is roughly 100ft away. I called a supplier and they recommended I go with 6 gauge copper or 4 gauge aluminum.  I'm curious which would be the better option?  To cavitate, I prefer the cheaper route as long as it is suitable for the application. The Aluminum 4 gauge is half the price of the 6 gauge copper, but both are reasonable.   Also, I plan on digging an 18-inch trench and running wire through PVC conduit.


Why did the liquid disappear from some unopened aluminum cans? My experience (read below) has not been answered

I’m posting my question because I read this original post. The post was from 2016, so I’m reposting in hopes that someone can answer. Here’s the original post:  (Also, do not flag as duplicate. If you read my experience below, the answers from the previous post do not explain why this is happening.)    I'm sitting in a room next to some totally unopened cans of carbonated soft drinks (if it matters — the two affected cans are Coke Zero and Diet Coke). These cans were unboxed approximately two days ago and were full, but now are seemingly mostly empty!  There is no puncture in either can, and compressing them results in the dent being counteracted by pressure inside the can. Shaking and weighing the can (by hand; I don't have a scale anywhere near) reveals that a good majority (75%) of the can is now effectively empty.  The cans spent the whole time stored inside a normal room with a temperature of ±22ºC and automatic fluorescent lighting which is on for 16 hours a day.  Finally, there is no condensed drink on the outside wall of the can, and the cans themselves are externally room temperature, so I'm really puzzled about what process could do this.  I'm hesitant to open the cans because I'm not sure what the result of that could be, however if it's deemed here that there's little or no risk, I'll do that and update the question.  What possible reason could there be for these cans becoming empty?    Now here is my post/question:  I know exactly what you are talking about! Only my soda cans were not expired! I have a soda machine that I purchased about 10 years back. I load the machine myself with different sodas...coke, Diet Coke, sprite, dr.pepper etc....so I know that the cans are full when I put them in there.  Over the past 10 years I have found around 10-15 cans that are totally empty. Sometimes there might be a small amount of soda in them, but not much. There are no puncture holes, no sticky residue on the can, nor any residue inside the machine. Every time I found one, I thought I was going to have to clean up a mess....but nope, no mess..nothing. There is still pressure inside the can...not as much as a regular can, but there is still pressure. I’ve opened all of them. No bad reactions! Haha!  I’ve looked at the seal at the top of the can. I’ve even put one under water to look for leaking bubbles. Nothing... I’ve been perplexed for years and have asked everyone I know, and I have yet to find a viable explanation. If anyone can fill me in, I would love to know the answer!


Should +1 and thanks comments be a declined flag?

As a moderator for GD.SE I was always led to believe our role is to clean old comments as they are intended to be a temporary item depending on the level of context and if they add any benefit to an answer.  On SO I haven't had any issues or declines when I read old Q&As and see +1 and thanks and flag.    However, on other sites when I read an old Q&A and I see thanks or +1 I try to be courteous and flag them as I am aware moderators do get measured by their cleanup and I'm accustomed in doing so on SO but these flags are declined.    So this leads me to ask:   Should +1 and thanks comments be flagged and is the intended role of a comment still to be considered as temporary? What is the proper classification for a thanks or +1 comment if it should be flagged?   I didn't see any Q&As on this topic after browsing the tags:   and searching led me to:  but that was several years old.


I would like to clone a single partition off of my current HDD to a newer, larger SSHD. The partition that I would like to clone is running Linux Mint 17.1. Using a bootable Clonezilla USB, I have been able to clone the entire old disk to a new disk, but the Mint partition is preceded by a large, messy Windows 8.1 partition. The Windows 8.1 partition is failing on the HDD, however, so I only want to keep the Mint partition.  Could I do this with Clonezilla, GParted, dd, or some combination?


I wanted to convert an array[] to an ArrayList. In java it is simpler to use  new ArrayList<Element>(Arrays.asList(array))   But what If I wanted to do some sanity check over elements in array before putting them in ArrayList. for e.g.  new ArrayList<Element>(Arrays.asList(array,Sanity.isNotNull))   i.e. Something similar to Comparator, add an element in ArrayList only when the function in second argument is true for that element.  I could always do a for and add elements myself, but is there anything inbuilt in Java? Second Question: is there a way to overload addAll function to achieve the above mentioned goal?


What's the linguistic term for when you use an object in place of a person who uses or is associated with that object?

For example, a common one is calling someone who helps out a hired-hand. Another example is gumshoe for a detective, or a private eye. Sometimes the association might be metaphorical, like whips in politics. Is there a general term for this phenomenon of using objects to stand in for people who use the objects?


How can I get a specific Floor in my Tower?

I really really want a specific floor () in my Tiny Tower.  How does the game decide which exact business will go into the "Creative" floor?  Do I have to meet requirements (such as tower height) to unlock certain floors?


How to read Javascript event programmatically

Imagine you have a button like this:  <input name="myButton" type="button" value="button" onclick="return test();" >   where the test functions is as follows:  function test(){   // do something   return true; // based on some logic return boolean }   Now let's say,I don't know what is set for the onclick event, and at runtime I need to read the function or any code set to onclick and run it. Here is an example:  var btn = getElementById('myButton'); var btnOnClickFunc = btn.onclick; if (btnOnClickFunc) {     // do something }   I know this doesn't work, and that's actually my question. How can I read the button's onclick event in this example at runtime?  An example of this case is when the onclick is attached to the button later using jQuery.


Cross-references - how to control 'levels'?

I'm sure this must have been asked and answered many times, but I just can't seem to think of the right words for my search. I want to reference the following diagram, which is labeled '3.16.1', but I only get '3.16' in the reference. How can I control the number of 'levels'?


My Neural Net can overfit but not generalize

I have created a Neural network that gets its training data from a complicated physics simulation. I run the simulation by randomizing 7 different inputs. Each input can be 1 of 4 discrete values. I have decided to use an input vector with 28 binary nodes (7 inputs * 4 possibilities per input). The output layer is just 1 node, a continuous number. This is a controlled simulation so there must exist a true relationship between these inputs and my output, right?  No matter what architecture or method I use, the accuracy seems to hit a wall at 20%. Without going into the specifics of my cost/accuracy function, that is about the number I expect if the neural net just outputs a random number in the range of all my target data (not good). Now the neural net can perfectly fit the training data if I make it very deep. But bad results notwithstanding, I get the lowest TEST score reliably by making the network as shallow as possible, i.e. a single hidden layer with 1 or 2 nodes. Clearly things are amiss.   If I give the hidden layer ~20 nodes the test score starts moderately low (accuracy ~20%) and rises as overtraining kicks in. The output looks something like this. No matter what this network accuracy hits a wall around that 20% area.    And 2 nodes for reference    Increasing the training set seems to have diminishing returns   Please help, I am eager to see if anyone else has had behavior like this. I will readily provide any other information you need to better understand the problem.  Many thanks in advance. -Joel  Addendum: If I change the inputs to 7 (different) continuous variables then the relationship can be captured reasonably well with many hidden nodes. If I mix in the discrete variables with those continuous variables then the generalization falls apart again. This is an elusive problem, but if I had to guess it seems that the big issue is using these discrete variables, represented a stacked one-hot vectors. It would be really nice to find their relationship to the output because they are important inputs to the simulation. Perhaps it would help to see examples of Neural Networks that have worked using similar, discrete inputs represented as one-hot vectors or otherwise.


How can I find the smallest possible number which is divisible by every number in a given list?

I tried to solve this problem with python 2.7. I just began programming so I hoped that one of you amazing people could help me out!   this is what i currently have:  my_list = [2,3,4,5,6,7,8,9,10,11,]   for a in range(0, 39916800):      if (a % my_list == 0):         print("a")   THE ANSWER =  a = 2*3*4*5*6*7*8*9*10*11  a = a-1  for a in range (0,a): if a % 2 == 0:     if a % 3 ==0:         if a % 4 ==0:             if a % 5 ==0:                 if a % 6 ==0:                     if a % 7 ==0:                         if a % 8 ==0:                             if a % 9 ==0:                                 if a % 10 ==0:                                     if a % 11 ==0:                                         print a                                         if a > 1:                                             break


I am trying to setup a situation where I can FTP to my Linux CentOS 7 server and update the web site files from my Windows 7 system.  At this point I can FTP to my user's folder using vsftp (/home/robert) and Apache seems to work for the default web site (/var/www/html).  I created a virtual host for port 8080 and if I point it to /var/www/8080/public_html it works fine but as soon as I point it to /home/robert/public_html it comes back with 403 Forbidden. You don't have permission to access / on this server. The apache error log shows  [Wed Mar 18 16:12:27.546621 2015] [core:error] [pid 21204] (13)Permission denied: [client 192.168.1.66:57090] AH00035: access to / denied (filesystem path '/home/robert') because search permissions are missing on a component of the path   The apache conf file (/etc/httpd/conf/httpd.conf) has this entry for Virtual Host  Listen 80 Listen 8080  # Virtual Hosts <VirtualHost *:8080>     ServerName 192.168.1.10:8080 #   DocumentRoot /var/www/8080/public_html     DocumentRoot /home/robert/public_html </VirtualHost>   The permissions for /home/robert/public_html/index.html are below  drwxr-xr-x.   7 root root   66 Mar  9 17:16 home dr-x---r-x. 15 robert robert 4096 Mar 16 22:51 robert drwxr-xr-x. 2 robert robert   23 Mar 17 23:28 public_html -rwxr-xr-x. 1 robert robert 332 Mar 17 23:28 index.html   This seems like a permissions issue but I am unclear how to proceed.  Do I need to add apache user to my robert individual group?  Is selinux doing something here?  Any help would be appreciated.  Thank you.  UPDATED:  ok it appears to me that all web sites are supposed to be located under the /var/www/ folder.  It seems selinux wants it that way.  So how do I remotely FTP and access (read/write) the web site files??? Let's say I want user robert to FTP to /var/www/testweb and be able to read/write the files there.  How is that accomplished???    UPDATED: I looked at the answer posted and ran the three commands below  setsebool -P httpd_enable_homedirs on setsebool -P ftp_home_dir on restorecon -r -v /home   Looks like it did something but the result is the same.  I can FTP to user folder still but web site does not show up...403 error.  UPDATED: I also tried to run the following command however it errored out on all files  Command I ran  chcon -Rv --type=httpd_t /home/robert/public_html   Error I received  chcon: failed to change context of ‘index.html’ to ‘unconfined_u:object_r:httpd_t:s0’: Permission denied   I also turned selinux off using setenforce 0 but I still got 403.  Advice appreciated...thank you.


Delay Loading of Webpage Content / Debounce Cache

Background: I am implementing a custom cache handler in PHP. The cache script is triggered on-demand by website traffic. I want to intelligently handle an influx of simultaneous requests. To do this, I'm using the first request to trigger the cache writer. Concurrent requests are be deferred until after the cache is built. I welcome debates regarding this approach, but I still want an answer to my actual question below.  Question: I'd like to know the best method to defer loading of webpage content. Here are two options I'm considering.  Option 1: Delay the response server-side. I don't like this option because I could end up having hundreds of sleeping connections, and I don't think hosts would like that.  <?php while (!file_exists($cache)) sleep(1);   Option 2: Reload the page client-side. I don't like this option because the requests could be doubled, or trippled, depending on how long it takes to build the cache. With this I'm also worried about SEO Optimization. Will bots retry the page? Will they try more than once if the page still isn't ready?  <?php header('HTTP/1.1 503 Service Temporarily Unavailable'); header('Status: 503 Service Temporarily Unavailable'); // Maybe code 408 Instead header('Retry-After: 1'); header("Refresh: 1"); // Maybe some JavaScript to reload the page instead   Maybe there's another best approach?


Why was C-3PO's memory wiped, but not R2-D2's?

In Revenge of the Sith after Luke and Leia are born, they are sent to separate parts of the galaxy. The droids are given to Captain Antilles, with the instructions to clean them up, and have C-3PO's memory wiped. Why just C-3PO's and not also R2-D2's?   Initially I thought it was due to R2-D2's inability to communicate verbally, but he not only can communicate via text message (as seen in The Empire Strikes Back I believe), but we see other characters understanding his blips and bleeps as well.


Place tick at origin of pgfplots axis using axis lines center

Currently I have the figure as shown below (generated with the code below it) As you can see, the origin is not marked with 2 as I would expect based on the tick labels I explicitly set. Why does pgfplots do this and how can I put arbitrary text there?    \documentclass{article} \usepackage{pgfplots} \begin{tikzpicture}     \begin{axis}[             axis lines=center,             axis line style={-},             xtick={-2,0,2},             xticklabels={1,2,3},             xmin=-3.5,             xmax=3.5,             ymin=0,             ymax=5,         ]         \addplot+[ycomb, mark=none] table {             -3 1             -2 2             -1 3             0 4             1 3             2 2             3 1         };     \end{axis} \end{tikzpicture} \end{document}


Excel, how to find column number of min value?

I have a table in Excel.  Can anyone help me find the column number of the cell where the min value of the row is?  Example: 200 is the min value in row1 and has the column number 1. Is there a function that returns the column number of the min value?           col1  col2  col3  col4  col5   row1 - 200 - 300 - 400 - 500 - 600  row2 - ... - ... - ... - ... - ...


Combination: In n chooses r $\binom{n}{r}$, what if $r$ is larger than $n$?

I want to choose $r$ items from $n$ items while the order of selection is not important. Using combination definition, there are $\binom{n}{r}$ different ways I can do that. What if $r>n$? I expect the answer should be $0$ but all programming functions I have been testing returns error. I was wondering from a mathematical point of view, $0$ is a correct answer?


Most of my clients who ask for a public portal or site on salesforce want two things:   SSL personally branded site   They like being able to manage everything through salesforce but they dont want their public image affected by salesforce specific url strings etc.  The solution I have typically put forth is to put an ngnix/apache proxy in front of the site.  This solution also allows for the url to go from this <customer.urn>.force.com => someting.<customer.urn>   does anyone have another solution that works for them, maybe something on platform?


Compute the integral $\int_0^{\frac\pi2}\frac{\mathrm d \theta}{\sqrt{\sin \theta}}$

Compute the Riemann integral  $$\int_0^{\frac\pi2}\frac{\mathrm d \theta}{\sqrt{\sin \theta}}$$  It seems very difficult, I don't know how to go ahead.  Thank you very much for your help!


Program crashes after the exchange of pointers

Why does swap function not work? The program fails on this line in the first swap call:  *ch1 = *ch2;   All code:  void swap(char *ch1, char *ch2);  void reverse(char *string);  int main() {     char *test_string = "abcd";     char *test_string1 = "abc";      reverse(test_string);     reverse(test_string1);      printf("%s %s", test_string, test_string1);      assert(strcmp(test_string, "dcba"));     assert(strcmp(test_string1, "cba")); }  void reverse(char *string) {     for (int i = 0, j = (int) (strlen(string) - 1); i != j; ++i, --j) {         swap(&string[i], &string[j]);     } }  void swap(char *ch1, char *ch2) {     char temp = *ch1;     *ch1 = *ch2;     *ch2 = temp; }   Output:  Process finished with exit code 139 (interrupted by signal 11: SIGSEGV)


Are there any configuration options for the Unity desktop?    There are multiple valid answers for this question spanning over several versions of Ubuntu. For your convenience an index of each below :           If you're looking to configure Unity 2D, .


Choosing between internal oscillator and external crystal- ATXMega32E5

We are working with a modern microcontroller ATXMega32E5, from the ATMEL XMega family.  Our aim is to use the UART of the controller for effective communication, with the speed of about 9600 or 4800 baud rate. We tested the controller with the internal default 2Mhz clock frequency. UART is working well in both 9600 and 4800 baud rates.  As the controller is working fine, Is it really critical to use an external crystal for the system clock?  We just want to know, whether to use the internal calibrated RC oscillator or any external crystal. Please elaborate the explanation


I'm very well aware that it is considered best practice not to use underlining other than on typewriters and in handwriting. But sometimes it is needed nonetheless.  In my opinion the typographically least offending way to underline in print is to leave out the descenders. This is also how I learned to do it in handwriting. Very few fonts offer a pre-made underlined variant, but some text-processors (e.g. OS X text-engine) do -- depending on the font used -- an acceptable job at emulating this effect:    How would I tweak any of the existing ways/packages for underlining to do the same?  As a bonus, I'd like to be able to tweak the behaviour (extent of the omitted part, apply to which letters) per font and text style, preferably working with XeLaTeX.


Prove that $\lim_{x \to \infty} \frac{\log(1+e^x)}{x} = 1$

Show that $$\lim_{x \to \infty} \frac{\log(1 + e^x)}{x} = 1$$ How do I prove this? Or how do we get this result? Here $\log$ is the natural logarithm.


What should I do when receiving error notifications by the system

I am often getting the message:     Sorry, Ubuntu 12.04 has experienced an internal error. If you notice   further problems, try restarting the computer.   I am worried about my system stability.  What have I done that may cause this problem? Is it my fault? What can I do to solve this issue?


Using unison for synchronization on mac, I would like to ignore files such as .DS_store in each directory. In my profile file, I put, as described in section "Ignored path" of .  ignore = Regex *.DS_Store ignore = Regex *\.DS_Store ignore = Regex "*.DS_Store"   but either it didn't work or I have the error:  line 33: Malformed pattern "Regex *.DS_Store".


I wrote this script but [:alnum:] doesnt work. Anyone help?  echo -n "Enter a password : " read password  LEN=$(echo ${#password})  if [ $LEN -lt 10 ]; then         echo "$password is smaller than 10 characters" else      if ! [ -z `echo $password | tr -d "[:alnum:]"` ]; then         echo "$password is a weak password"      else         echo "$password is a strong password"      fi fi echo


Here I faced challenge in highlighted text using soul package, when highlighting white space occurs in between lines. It should be closed up, please suggest any option for fixing this issue:  Note: Problem area marked in red color  MWE:  \documentclass{book}  \RequirePackage{xcolor,soul}  \definecolor{bluelight}{cmyk}{0.15,0.01,0.01,0.0} \definecolor{pinklight}{cmyk}{0.12,0.15,0.0,0.0} \definecolor{greenlight}{cmyk}{0.10,0.01,0.29,0.0}  \def\bluehighlight#1{\protect\sethlcolor{bluelight}\hl{#1}} \def\greenhighlight#1{\protect\sethlcolor{greenlight}\hl{#1}} \def\pinkhighlight#1{\protect\sethlcolor{pinklight}\hl{#1}}   \begin{document} \section{Overview} Numerous videos and interactivities are embedded just where you need them, at the point of  \subsection{Links with our times} When a new suburb is established today, roads and footpaths are built, services such as water and electricity are connected, and underground pipes are installed to take away sewage and stormwater. All these facilities are usually in place before any homes are built, and even the construction of the houses is governed by strict building regulations. The situation was very different two hundred years ago.  \bluehighlight{The biomedical model relies heavily on technology and trained professionals to treat illnesses such as cardiovascular disease.}$^1$ \greenhighlight{These resources are expensive to establish and maintain.}$^2$ \pinkhighlight{The biomedical model does not focus on people without cardiovascular disease so healthy groups are not the health system making it dif difficult to decrease Medicare benefits paid to treat these diseases.}$^3$ \bluehighlight{The social model of health aims to reduce the differences in factors that result in higher rates of cardiovascular disease among particular groups.}$^4$ This can be achieved by empowering individuals and communities with the onset of cardiovascular disease, such as tobacco smoking and obesity. \greenhighlight{This can reduce the prevalence of cardiovascular disease, which in turn reduces the amount of Medicare funding required to treat it.}$^5$  \end{document}


continuous infinitive or bare continuous infinitive

Why is in this sentence used bare continuous infinitive?  It is important that the focus of training courses be towards enabling employees to competently perform tasks.


Is galvanic isolation of Hi-speed USB impossible?

I have a  which provides galvanic isolation of a USB device from my PC, but only works for low speed and full speed USB. I can't find any alternative electric isolators which do provide Hi-speed connection; , however, are offered with hi-speed throughput and should provide both galvanic isolation and high bandwidth, though perhaps at higher cost?  Is there a practical or physical limitation to the bandwidth of a galvanic isolator for USB? Are actual laws of physics involved, or is this merely an engineering challenge or cost issue?  Edit  Let me rephrase my own question:  Non-fiber USB isolators cost about €100 but are limited to full-speed USB. Hi-speed USB isolators do not exist, so I assume they can not be made for €100, but would cost significantly more (€1000? €10000). At such a price, there is no market, thus there are no hi-speed USB isolators available.  The question thus is this: What makes a hi-speed USB isolator so much more expensive than a full-speed USB isolator? Is there a physical limitation to the approach used for the full-speed devices which makes it inapplicable and/or cost prohibitive for hi-speed devices?


How can I underline a single word with LaTeX?

Given a simple paragraph, how do I underline a word in that paragraph?  (Note: I post this here because it wasn't really obvious using google or this site and my TexNicCenter is somehow missing this highlighting option.)


How to get the terminal to work again? Terminal stopped working after changing default python version

I was trying to make python version 3 as a default version of Ubuntu,  I used nano ~/.bashrc and added the first line of this answer.    Then It just messed up my terminal.  Now when I am clicking on my Terminal or trying to access by ctrl+alt+t, the terminal does open/run. I can only talk to ubuntu using my terminal how could I fix this?  Please advise!  Pls, note that the terminal icon is present, but the terminal does not open when clicked on. How do I get the terminal to open and work?  Update: I deleted that line from .bashrc. However, I still have a problem opening my terminal. I also see this sign on my ubuntu as well.     saying: a problem occurred when checking for the updates ubuntu 18.04


Why does my HDMI display -sometimes- need to be manually reconnected after sleep?

My  stays connected to my 2015 MacBook Pro (MBP) at all times when I'm home via a standard HDMI cable. The display stays powered on. My MBP sometimes goes to sleep e.g., overnight.  Sometimes, but not every time, the display will fail to connect to the MBP when I wake up the laptop. The display is still on, but the MBP doesn't recognize it—i.e., it acts as if there's no display connected.  Unplugging and re-plugging the HDMI capable into the same MBP HDMI port reestablishes the connection.  I don't recall ever having the same problem with different monitors at work.  This question is  to  , but no situation is quite the same.


taxes, ordinary income, and adjusted cost basis for RSUs

My company offers RSUs — restricted stock units — as a benefit. These vest after a certain amount of time, and in 2013, my first chunk vested with a value of about $6400. As I understand it, at that time, when I accepted the distribution, that was reported as income, and Fidelity even sold some fraction to cover withholding, leaving about $4000.  Slightly more than a year later, I sold the entire lot; the stock price had gone up, so the total amount was $5200.  I'm new to all of this, but my understanding was that this would be a long term capital gain of about $1200.  However, my 1099-B from Fidelity has:  1b date acquired           :   10/16/13 1c date sold               :   10/28/14 1d proceeds                :   $5200 1e cost or other basis     :   $0 1f code / 1g adjustments   :   - Gain/loss                  :   $200 4 Federal Inc Tax Withheld :   $0  Box D Long-term realized gain: $5200   There is, however, a "2014 Supplemental information" form, which notes "This information is not reported to the IRS. It may assist you in tax return preparation". On this form, there is "Ordinary Income Reported" of $4000, "Adjusted Cost or Other Basis" is also $4000, and the final column is Adjusted Gain/Loss: $1200, just as I expected.  I'm confused. Why does the 1099-B say "0"? Is that $4000 actually taxed both as regular income and then again as capital gains? (That doesn't seem right, and I found  on this site, which seems to agree with my expectations. On the other hand, I don't want to put down what I think is right and have Fidelity tell the IRS that I owe a lot more.  What is the right thing to do on my tax return?


If I perform the logical OR on two items, what am I doing? Ie. what's the verb for the logical sum?


How can I further diagnose my central air conditioning compressor fan motor and capacitor?

I have a 15 year old Bryant Central Air unit in my house.  Yesterday it stopped working.  Here is what I have checked.   The breaker in the basement is not tripped. The furnace works fine from the thermostat. The blower downstairs by the furnace runs when AC is on and blows room temp air into the house, but the fan on the compressor is not spinning.  The fan on the compressor does spin freely when I manually spin it with a stick.  Checked for fuses in the outside box.  There are no fuses outside, only an on/off pull thingy with two metal plates that you have to turn upside down to turn off. The capacitor is not flat on top, but far less rounded then any of the examples of blown AC dual capacitors I've seen on youtube. I get 220v in on the contactor. I get 220v out on the contactor. I get 24v from the thermostat. When the air is on at the thermostat the contactor solenoid is in, when the air is off it is out.   When the air is on at the thermostat I hear a buzz coming from the outside compressor but I can't tell what the source of the buzz is. If I push the solenoid in when the AC is off, the compressor does not start up and the fan does not spin, I just hear the buzz. If I wait by the compressor outside for a few seconds while the AC is on there's another buzz sound that goes off for about 3 seconds then stops.  From listening to the AC when it was working this is the buzz sound that goes off before the compressor and fan usually kick in. After leaving the non-functioning unit on for a few minutes while I diagnosed I noticed that the metal on top of the compressor fan motor was VERY hot to the touch.  It cooled after I turned the AC off.   I'm thinking the fan motor on the compressor is dead or the capacitor is bad.  Is there a way to check the capacitor and the fan motor while they're still in the unit?  With the power off of course.  Does anyone think it's something else?  Do I have to buy the overpriced ($485 for the manufacturer fan motor and $200 for the dual capacitor) replacement part from the manufacturer or can I use a third party manufacturer?  Any other help would be appreciated.  As much as I'd love to bring an HVAC guy in here I just can't afford it.  Either I go without AC, or I fix it myself.  EDIT:  With the AC on I manually spun up the fan on the compressor and the fan started spinning and the AC unit fired up.


What kind of syntax is this? (asp.net mvc C#)

I copied a line from razor view to my .cs file by mistake, and it can be compiled. why? and what's the difference between the marked 2 lines? thanks.


Can anyone tell my why someone would cast Conjure Minor Elementals?

If I understand this right - you don't pick the CR of the elementals, you pick their maximum CR. You don't pick where it actually appears, it just appears somewhere within 90 feet of you. You don't even pick the element of what you are summoning.   To summarize, you can cast Conjure Minor Elementals at 8th level in an underwater fight, select the option to 3 elementals of CR 2 or lower, and receive 3 CR 1/2 Magma Mephits that are 90 feet away from the fight? In character I would know I am not picking any part of the what I am summoning, I'm basically just yelling help into the void. Why would I waste a 4th level spell to summon a completely random something instead of using something like Polymorph, which just gives you the creature you want and does so by giving something a massive bonus health pool?   Is there any use for this spell besides the tiny benefit of just a couple extra bodies with at most like 40 health - which you can get 5 of with animate objects?


Gravitational slingshot of light using a black hole/massive object

Wikipedia has this page on  using planets. In some cases this effect was used to accelerate the spacecraft to a higher velocity. This diagram shows this in a very oversimplified manner.   That got me thinking that if light is affected by gravity, and if it slingshots around the black hole/massive object, can't it gain a higher speed than $c$? What limitations are stopping it from doing this?  Forgive me if the answer to this question is pretty straight-forward or staring-you-in-the-face kind. I haven't fully understood the mechanics of the gravitational slingshot fully yet, but I couldn't wait to ask this. Note: If it is possible (I highly doubt that!), could you provide an explanation using Newtonian mechanics, I'm not very familiar with general relativity because I'm in high school.


Can laptop with bag be checked in at connection airport of Doha, after carrying the laptop inside cabin in the previous connecting flight

I have a flight from India to US with transit at Doha (Qatar). Connection flights are on two different partner airlines.  I want to carry my laptop with me in cabin during the flight from India to Qatar. Since USA has banned laptop inside the cabin for flights from Qatar, is it possible for me to check in the laptop bag in Qatar? Will it be delivered at same time as the luggage which I already checked in India?


I have just opened a project (and three periodic backups, using both QGIS 2.18 and then 3.4) and am getting a Handle Bad Layers dialogue for several hundred layers.  To my knowledge, these files have not been moved, and no one else has access to the file.  Each file location, instead of beginning C:\Users... appears in the bad layers dialogue as  //localhost/C$/@GMT-2019.05.05-10.44.25/Users...  I can manually alter them, but hoped there might be a way of changing all of them simultaneously?   The answer provided to the question 'Updating file locations in QGIS projects?' suggests using the Handle Bad Layers dialogue box to rectify this by selecting all paths and then last selected, but the screenshot shows that dialogue box with 'New data' and 'New file' columns which mine does not have (see screenshot of what I get) and when I select all then edit one it only edits that single path.  ![screenshot of dialogue box]!


I recently googled why is cathode labelled with k  and here is the result   takes you to a question on electronics, which is essentially identical to the question I googled. It has two answers, the accepted one has 15 upvotes, the other has 4 downvotes. The featured snippet shown in the screenshot is from the downvoted answer. As you can imagine, the problem is not unique to Stack Exchange. Try c is char always signed for another example. I wonder what, if anything, can be done to prevent search engines from quoting misinformation from within a page, whether that be from a bad answer or from comments?


How reputable is the online journal scientific.net: Materials Science and Engineering

How reputable is the online journal "Scientific.Net: Materials Science and Engineering"


Mysterious! Beamer itemize has no bullets after adding a few packages

this is my first time using beamer.  I copied a template from the sharelatex page on Beamer  Which works, and \begin{itemize} shows bullets     But after adding a few more packages that I need, all the bullets are gone!    What is going on and how can I fix this?  \documentclass{beamer}  \usepackage[utf8]{inputenc}    \usepackage{amsmath}  \usepackage{amsthm}     %Theorem Environment  \usepackage{amssymb}  \usepackage{multirow}  \usepackage{cancel}  \usepackage{amsfonts}  \usepackage{graphicx}  \usepackage{subfigure}  \usepackage{upgreek}     \usepackage{mathtools}  \usepackage{thmtools}  \usepackage{enumitem}       %Information to be included in the title page: \title{Sample title} \author{Anonymous} \institute{ShareLaTeX} \date{2014}  \begin{document}    \frame{\titlepage}    \begin{frame}  \frametitle{Sample frame title}  \begin{itemize} \item  This is a text in first frame.  \item This is a text in first frame. \item This is a text in first frame.  \end{itemize}  \end{frame}  \end{document}


What should I look for in a wide angle lens?

I'm pretty new to photography .. would appreciate if anyone could advise me a little on comparing wide angle lenses. For example, I'm looking at the  Canon EF 24mm f/1.4L II USM and Canon EF 14mm f/2.8L II USM. (I have a full-frame camera.) What are the meaningful differences between the two? What practical difference does a 1.4 have to a 2.8? And how are they better than a much cheaper option like the Canon EF 24mm f/2.8 IS USM? There are so many options; in general, for what situations would I choose one over the other?


How to prove that $\lim\limits_{n\to\infty}\left(1+\frac{1}{p_n}\right)^{p_n}=e$?

Suppose that $\{p_n\}$ is an arbitrary positive sequence that $\lim\limits_{n\to\infty} p_n=+\infty$. How to prove that $\lim\limits_{n\to\infty}\left(1+\dfrac{1}{p_n}\right)^{p_n}=e$?


How to use Stokes theorem in the presence of holes?

So I know Stokes theorem for integrating exact differential forms over a chain: $$\int_cd\omega=\int_{\partial c}\omega.$$ But what if there are holes? More precisely, consider the following famous example:  Consider the punctured plane $U=\Bbb R^2\setminus\{(0,0)\}$ and the differential form $$\omega=\frac{1}{x^2+y^2}(-ydx+xdy)$$ on $U$. It is known that line integral of $\omega$ along a circle $c:[0,1]\to U, c(t)=(\cos 2\pi t,\sin 2\pi t)$, is $2\pi$.  Stokes theorem does not really apply here because neither is $\omega$ exact nor is $c$ the boundary of another chain. But it is possible to "define" the following (I saw similar things from physics textbook and notes):$$d\omega=2\pi\delta(x,y)dx\wedge dy$$where $\delta$ is the Dirac delta function, giving infinity when $x=y=0$, and $0$ otherwise, such that the integral of $\delta(x,y)dx\wedge dy$ over a subset $S$ of $\Bbb R^2$ is $1$ if the origin is an interior point of $S$. Regard $c$ as the boundary of the unit disk $D$ at the origin and Stokes theorem can be "applied" just fine, by$$\int_Dd\omega=\int_{c}\omega.$$  Is there a way to formalise these ideas? If possible, I would like to see some reference to formal definitions of such generalised exterior derivative and proofs of such generalised Stokes theorem.  I know some complex analysis (Cauchy's integral formula), the definition of a , and the definition of de Rham cohomology if it will help.


How to download GIMP from Ubuntu Apps Directory

I would like to download both Ubuntu and GIMP to install on a computer with no internet connectivity. I presume simply downloading Ubuntu and burning an ISO disk will take care of the former.   However, GIMP directs me to , and the emailed download link from there takes me back to : I cannot find anything on that page that would permit me to download GIMP for Ubuntu.    Walton


I'm new to Java and trying to split multiple strings and store it in a String array. The layman program follows:       Scanner sc = new Scanner(System.in);     String s1 = "Hello1 Hello2";     String s2 = "Hello3 Hello4";     String s3 = "Hello5 Hello6";     String[] parts = s1.split(" ");     parts = s2.split(" "); //Rewrites     parts = s3.split(" "); //Rewrites     for(String s4:parts) {        System.out.print(s4 + " ");     }   The ouput of the program is obviously : Hello5 Hello6. ()  Regardless I expect the output Hello1 Hello2 Hello3 Hello4 Hello5 Hello6. Which is, the incoming string must not replace the existing Strings inside the array.


I cannot boot into windows 7 after installing ubuntu. BIOS-Boot partition error

I've been scratching my head for hours, and am completely lost. I have ubuntu installed on a separate drive, and 5 other drives I use with windows 7. I ran Boot-Repair with "Recommended Repair" and came across this error:   GPT detected. Please create a BIOS-Boot partition.   I also created a bootinfo summary, which can be viewed here:   I have no idea how to create a BIOS-Boot partition, or where to begin.   How can I change the grub boot order so I can choose to boot into Windows 7 or Ubuntu?


How can I delete my Stack Exchange account(s)? Also,  What happens to my content? Can I request it be deleted as well? What if I'm suspended, rate-limited, or banned from posting questions or answers? What will happen to my votes? Will other users be impacted? Why wasn't my account deleted immediately after the timer expiring? What will happen to my pending bounties and close, reopen, delete, or undelete votes? I want my account deleted on all Stack Exchange sites. How do I do this? Will my profile on chat be removed once I delete my site account?   For more information, see "" in the .


How Come Harry couldn't see thestrals in his second and fourth year?

If Harry had witnessed his mother's death at age one, how come he couldn't see the thestrals on the carriage?  Many people may argue that he hadn't registered that she died at the time. And JK has stated the same.  But in The Prisoner of Azkaban, Harry had witnessed it again when he went close to a dementor. How come he didn't see them in The Goblet of Fire?  Some people see a loophole in this though. In Sarah Buckley's theory which I will put , It could have been Voldemort's soul in Harry that heard the voices.   In The Prisoner of Azkaban, Lupin that dementors affect him so much because.     "It has nothing to do with weakness," said Professor Lupin sharply, as though he had read Harry's mind. "The dementors affect you worse than the others because there are horrors in your past that the others don't have."   But, as I have stated before, it is confirmed that Harry cannot fully remember his mother's death. Sarah Buckley theorizes that the horror was when Voldemort was defeated. Her theory was,  "It wasn't Harry’s soul who reacted so badly to the dementors, but the piece of Voldemort’s. The night Lily Potter died and Voldemort was defeated was the worst experience Voldemort had ever had. Consider also that the memory stops (and Harry faints) just a few seconds after Lily screamed and died, which would place the end of the memory right around the time Voldemort tried to Avada Kedavra Harry and was subsequently defeated - killed, or as close to as possible."  But I also disagree with this theory. Why? Well, in The Chamber of Secrets Dumbledore says     "You can speak Parseltongue, Harry," said Dumbledore calmly, "because Lord Voldemort--who is the last remaining descendant of Salazar Slytherin--can speak Parsletongue."   And that is because there is a fragment of soul from Voldemort in Harry. This is my evidence that traits can be passed from Riddle to Harry.   This is also evidence for the dementor-Harry theory. But since harry can't see thesterals until Order of the Phoenix, not all traits can be passed down.   And in The first book he killed Quirrel! Shouldn't that count as witnessing someone die! I mean- There are so many plot holes with this subject I don't think I can solve the answer of this question. These are all the plot holes I can find, but I what to see an other opinion.


Let $g \cdot \mathbb{R} \rightarrow \mathbb{R}$ with $|g(x)| \leq 1 $   for all $x \in \mathbb{R}$.      Prove that $f: \mathbb{R} \ni x \mapsto \left(x-x_{0}\right) \cdot g(x) \in \mathbb{R}$ is continuous.   Ok I have trouble because not any specific $x_{0}$ is given.  Also I think the inequality $|g(x)| \leq 1$ will cause trouble / no easy birth.  We will have to prove it for   $|g(x)| = 1$ $|g(x)| < 1$   is that right so far?   $f(x) = (x-x_{0}) \cdot 1 = (x-x_{0})$   So in this case, the limit of function $f$ would be $x-x_{0}$.  Using squeeze theorem on this we get:  $$(x-x_{0}) \leq (x-x_{0}) \cdot 1 \leq (x-x_{0})$$  I think doesn't make much sense I wrote here but the limit should be $(x-x_{0})$ if $|g(x)| = 1$.  2.If $|g(x)| < 1$:  $$0 \leq (x-x_{0}) \cdot |g(x)| \leq (x-x_{0})$$  Hmm.. I don't know what to do don't know what $x_{0}$ is ... :(  I have task from exam 2005 published by someone who wrote it already, old student. Maybe he write wrong? I can't imagine how show continuity here, we don't know $x_{0}$ and not much info about $g(x)$ too?


I just downloaded the compressed files from Codeblocks website but there are so many .deb files.    So which one should I install? Do I have to remove currently installed Codeblocks 16.01 before performing installation? If anyone describes the process in a bit detail, it'll be really helpful. I am a newbie.


Immortal Soldier - Cured with Honey based salve, wounds heal, fears drowning?

I'm trying to remember that title of a 1960's short story about a soldier in medieval times who is treated on the field of battle by a physician using a salve made in part from honey.  The soldier heals and discovers that no matter how badly he is wounded he always heals. Hundreds of years later the soldier is still searching to complete the physician's original mixture. He fears being drowned.


convention to name interface and implementation?

what is the convention to name interface and its implementation class in java?  Interface : ISomeService Impl : SomeService   or  Interface : SomeService Impl : SomeServiceImpl   Thanks!


Incorrect icons on hot network questions

I see the same problem has occurred in the past, the most-linked one being   Is this happening for anyone else?   I've marked the icons I could recognize as incorrect.  This exists on every page, is on both chrome and firefox (from Ubuntu 16.04), and persists after hard-refreshes in each.  Edit: The icons in Meta's Hot Network Questions tab appear to be consistently accurate. Every other page I checked (including Unix, Workplace, English Language & Usage, Money, and Sci-fi) have a handful of incorrect ones, even for some of the same questions that are displayed correctly in Meta.  Further note: if it matters, the icons are also incorrect in the drop down community-search feature on the right end of the header. Again, they appear correct on this Meta page, and incorrect on all other pages I've checked. Some of the ones that are consistently incorrect:   computational science constructed languages movies and TV raspberri pi rpg russian language science fiction and fantasy sitecore skeptics super user latex workplace   That distribution seems skewed, but I may just be disproportionately familiar with the sites at the end of the alphabet. Many others could be wrong, those are just the ones I could recognize.    Last edit: apparently my Google skills were lacking -  was asked an hour prior.


Get exit code from preceding command before pipe

I have this:  node ${SUMAN_RUNNABLE} | tee -a run.sh.log EXIT_CODE=$?;   but it looks like the exit code is always 0 because tee is providing the code not the node executable.  Is there a way to capture the exit code from the node executable in such a scenario?


Direction of friction on particle placed on a rotating turntable

If a particle is placed on a rotating turntable then the particle has a tendency to slip tangentially with respect to the underneath surface... So the friction should act tangentially to the particle... Why then does it act towards the center... Please explain with respect to inertial frame  Friction opposes relative slipping between surfaces... When the particle is initially placed on the rotating turntable... the surface under it has a tangential velocity. So, in order to oppose this slipping friction must act tangentially... How then does it act radially inward?


Pronoun Case in Noun Phrases used as Direct Objects

When I have a noun phrase that contains a pronoun as a subject (of the phrase), but the noun phrase is being used as the direct object of another verb, is the pronoun in the nominative case or the objective case?  For example, sans noun phrase:     Please tell him.   With noun phrase:     Please tell [he/him] who walks through the door.   Or, when being used more as a subordinate clause (?):     Please tell [whoever/whomever] walks through the door.   Or in a concrete example from literature, I was always under the impression that because the pronoun is the subject of a phrase, it's in the nominative case:     If ye break faith with we who die   But the actual poem I'm quoting here says:     If ye break faith with us who die   (The poem being In Flanders Fields by John McCrae) Is this just a poetic device, or is McCrae correct?  What is the generally accepted rule among "correct" English, and why?


Why did the Rebel fleet not bombard the Shield Generator on Endor?

Once the Rebel fleet showed at Endor there was no need for stealth operations.  Soon after arriving, the Rebels discover the stealth mission was not successful and begin a battle over the moon of Endor.  Why did the Rebels not use their ships to attack the shield generator?  Looking a the hologram displayed on Home One, the shield only covers Death Star II, not the moon. Furthermore, the shield generator's location on the Moon would not be hard to find as it had to be within the proximity of Death Star II and stood well above the tree line. It seems that even a few X-wings, B-wings or Y-Wings could have made short work of the Tower.  One possible answer is that the Tower was also protected by a shield. Okay, but they would not even attempt to bomb it?   Perhaps the location of the strike team was unclear and they did not want to risk the lives of the Strike team. If this was the case, why did they not target the tower or the dish to disable the shield projector unit?


On my website I have a form that is send to me by e-mail once filled out. The form mails with its own email address but has a Reply-to to the people who have filled out the form.  In Postfix I want to correct this to replace the From-address with the Reply-to address. I use this syntax in header_checks:  if !/^From:.*(form@domain1.com|form@domain2.com)/    /^Reply-To:(.*)/ REPLACE From:$1  endif   But it does not work. What do I do wrong?


I have the following table:  number  word ======  ==== 1       AAA 2       BBB 2       CCCC 4       CCCC 4       BBB 4       AAA   Now I want to create a new table, where a "number" only occurs in one row. The corresponding values in "word" should be converted to comma sepeareted string.  The result table:  number  word ======  ==== 1       AAA 2       BBB,CCCC 4       CCCCC,BBB,AAA   How can this solved with T-SQL? Thanks in advance.


NullPointerException exception when using intersect command

For a project at school we need to program a game in JavaFx, we're almost ready with the game but I get a strange error when I use the intersects command (see attachment 1) . In the second and third attachment are the constructors which I use in those line where the error is  . and the last attachment is the ouput window with the error lines .  I already have read the section on this site over NullPointerException but I cant find the fault.  Main code:  if (kogelView.getBoundsInParent().intersects(enemyView1.getBoundsInParent()))             {                    enemyDoodModel1.setXDodeEnemy(enemyModel1.getX());                   enemyDoodView1.UpdateEnemyDood(enemyDoodModel1);                    enemyDoodModel2.setXDodeEnemy(enemyModel2.getX());                   enemyDoodView2.UpdateEnemyDood(enemyDoodModel2);              } }   constructor_1:  public void setXDodeEnemy(int xPos)     {         this.xDood = xPos;      }   constructor_2:  public int getX()     {         return this.xEnemy;      }


$f :\mathbb{D}\rightarrow \mathbb{D}$ is a holomorphic function and $z_0$ is a root of it, How can I prove $|z_0| \geq |f(0)|$

How can I prove this? I don't have any idea about its proof.  Suppose $f:\mathbb{D}\rightarrow \mathbb{D}$ be holomorphic function and $f(z_0) = 0$. Prove $|z_0| \geq |f(0)|$.


Does a page created with hook_menu have a nodeid?

I created a page implementing the hook_menu, and I want to apply a theme for only this specific page. I know that I need to use something like page--node--nodeid.tpl.php, my question is does a page created implementing the hook_menu() have the nodeid, and if the answer is yes, how can I figure it out ?


How many ordered quadruples $(a,b,c,d)$ of nonnegative integers are there such that $abcd = 288$?

I know how to do $a+b+c+d=288$, but I don't have any clue how to get started if it is multiplication.


Let  $\mathbb{Z}[i]/(2)$ be the ring of Gaussian Integers and $I=(2)$ be the ideal generated by $2$. Then $I=\{2(x+yi) | x,y \in \mathbb{Z} \}$. Therefore the elements of $\mathbb{Z}[i]/(2)$ are the cosets $a+bi +I$. Here we have $4$ cases depending on whether $a, b$ are even or odd integers and therefore we have $4$ cosets $I, 1+I, i+I$ and $1+i+I$. Now we have that $ord(1+I)=2$ since $1+I + 1+I =2+I =I$. Similarly we have that $ord(i+I)=2$ and $ord(1+i+I)=2$ and therefore $(\mathbb{Z}[i]/(2),+)\simeq(\mathbb{Z}_{2}\times\mathbb{Z}_{2},+)$. Now what about $(\mathbb{Z}[i]/(2),\cdot)$? We know that it not a field because it contains zero divisors. Indeed $(1+i+I)(1+i+I)=I$. So we know it is commutative ring with identity. But can we find if it is isomorphic to a familiar ring?


Did Philip K. Dick watch "Blade Runner" before his death?

Was Philip K. Dick able to watch a complete version of Blade Runner before his death or just unedited material?  The Blade Runner release date according to  and IMDb was 25 June, 1982. Philip K. Dick died a few months before, on March 2, 1982.


I would like to know how to add to a template file a blog post content rendering code so that all blogs will be displayed whenever that template is rendered.


Random errors on various sites when viewing main page

Occasionally (very occasionally) when returning to the main page of a site by clicking on the logo I get the following message:     It was not possible to perform this tag search at this time due to an unexpected error.   This is odd because I'm not performing a tag search.  So far this has happened on both Movies & TV and Cooking.  I have heard that others are getting this same message.