How fast can video/ transmission waves travel through space?

Something that has been on my mind for quite a while now and has sprouted lots of thought, is whether we can create a machine to put into space, far away from the earth, and use it to see back in time. I'll explain this a little more:  Say that a VERY large telescope, able to magnify images at extremely extensive magnifications, were to be sent out into space and placed in orbit around the earth about ten light years away; and used for the purpose of, starting from the time that it reaches its destination, seeing the light coming from the earth, which would have been from ten years earlier as the light is still travelling and is only reaching this point in space after ten years of it actually happening.  Now it is all well and good for the telescope to see these images of the earth back in the past; images of very high quality I am talking about, able to see humans walking around in a street quality, but if it were then to send these images back to earth, how long would it take for the message to send/ travel to the receiver on earth? Also, is it even possible to send and receive information from so far away?   If the machine were to be used for forensic purposes, like rewinding the clock to see what happened live in a murder after it had happened, up to ten years after in fact, the pictures would need to be sent and received very quickly so that the time to receive the photos wouldn't be so long that the person convicted of the murder could no longer be held against their will without the evidence.  I hope there is enough of an explanation here to get minds working.


Using different fonts in a latex document

The present state is:    I get two ttf fonts, say font1.ttf and font2.ttf.  I used autoinst tool to convert the both into latex usable fonts.    In my document preamble, now I'm able to use:  \usepackage{font1}   or   \usepackage{font2}   The question now is how (with or without this ability) to redefine fonts for chapter and section names with one of the font?  My first idea was to \usepackage{font1} to set a main font for the document and to \usepackage{titlesec} to format the section/chapter names with the other, but now I can't find how to make use of my font2 inside the \titleformat command


Type ahead search in Ubuntu 18.04 file manager

In Ubuntu 16.04 file manager, when I type a few letters, it automatically selects the first file matching that sequence of typed letters inside the current directory. I think this is called type ahead search.  In Ubuntu 18.04, it instead opens a search and lists all the files that match, also recursively inside contained directories.  Is there a way to recover the old, Ubuntu 16.04 way of simply highlighting the first file that matches inside the current directory?


I have written a Z specification and drawn boxes around the schemas. I'm trying to work out how to draw an arrow from schema to schema.  \documentclass{article} \usepackage{zdra}  \begin{document}  \zlemma{ \begin{schema}{BirthdayBook} known: \power NAME \\ birthday: NAME \pfun DATE \where \postcon{known=\dom birthday} \end{schema} }  \text{ This $InitBirthdayBook$ specifies the initial state of the birthday book system.  It does not say explicitly that $birthday'$ is empty, but that is implicit, because its domain is empty.}  \zlemma{ \begin{schema}{InitBirthdayBook} BirthdayBook~' \where \postcon{known' = \{ \}} \end{schema} }  \end{document}   I've got the boxes around the schema's fine it's just the arrow i need from box to box.    The packages needed for this to compile can be found here


So I am working with Enumerations for my first time in C# but I don't think it'll last as I just realised the lack of flexibility you have with them as you do in Java.  For example, the equivalent of what I want to do in Java would look something like this:  public enum Days {     Mon("Monday"), Tue("Tuesday"), Wed("Wednesday"), Thu("Thursday", 93), Fri, Sat("Saturday", 44), Sun;      private String longName;     private int other;      Days() {}     Days(String longName) {         this.longName = longName;     }     Day(String longName, int somethingElse) {         this(longName);         this.other = somethingElse;     }      @Override     public String toString() {         return this.longName + ", " + this.other;     } }   Is there anyway I can do this in C#? As far as I can tell, with enums you can only do something like the following:  public enum Days { Mon=1, Tue=2, Wed=3 }   It doesn't have to strictly be an enum, just act like the Java enum.


Is "Five dollars is all I have" correct?

I want to emphasize that I only have 5 dollars, so can I use the sentence:     Five dollars is all I have.   Or must it be:      Five dollars are all I have.   Please give the explanation as well.


NO_APPLICABLE_PROCESS while submitting approval for time sheet entry

I have an approval process for timesheet entry:    I have a timesheet entry which is fulfilling criteria for the approval process.  The approval process is in active state.  I am doing something like below in trigger for TimesheetEntry:  List<Approval.ProcessResult> result = Approval.process(requestList);   Getting the below error while submitting the timesheet entry for approval:  System.DmlException: Process failed. First exception on row 0; first error: NO_APPLICABLE_PROCESS, No applicable approval process was found.: []:   I tried to query the TimesheetEntry using the approval process criteria, Able to see my TimesheetEntry(Subject of this entry is 1):    What am I missing here?


Does set difference distribute over set intersection?

I am asked to prove that, if $A, B$ and $C$ are sets, then $$A-(B\cap C)=(A-B)\cap(A-C).$$  However, I think that either I have made an error in my working, or the wording of the problem contains a typographical error.    My working so far is as follows: $$\begin{align}x\in(A-(B\cap C)) &\iff (x\in A)\wedge(x\not\in(B\cap C))\\ &\iff(x\in A)\wedge((x\not\in B)\vee(x\not\in C))\\ &\iff((x\in A)\wedge(x\not\in B))\vee((x\in A)\wedge(x\not\in C))\\ &\iff(x\in(A-B))\vee(x\in(A-C))\\ &\iff x\in((A-B)\cup(A-C)) \end{align}$$  First line to second line: by De Morgan's Law. Second line to third line: by distributivity of set intersection over set union. Third line to fourth line: by definitions of intersection and set difference.   If my working is correct, then I have shown that $$A-(B\cap C)=(A-B)\cup(A-C).$$ Am I correct?


Cardinalilty of range of continuous functions

Is it true that the cardinality of the range of any non-constant continuous function $f:\mathbb{R}\rightarrow \mathbb{R}$ is equal to cardinality of the set of real numbers?  If so, how do you prove it?


Significance of the term "diffusion" in Grover's diffusion operator

In the context of , the diffusion operator is defined as $U_s = 2|s\rangle \langle s| - I$ with $|s\rangle\equiv |+\rangle^{\otimes n}$. What is the significance of the term "diffusion"? Does it refer to some physical phenomena?


I try to get distinct values in LINQ i try this for this first i create method and then i call this method on page load and assign   regiondrop.DataSource = getregion(); regiondrop.DataSourc=DataTextField="Region" regiondrop.DataSourc==DataTextField="RID"    private List<tab1> getregion()         {             using (T1 tee = new T1())             {             var tempList = tee.tbl1.ToList();             var list = (from ta in tempList             select new { ta.Region, ta.RID }).Select(x => new tbl1             {              Id = x.RID,              reg=x.Region              }).ToList();             return list;             }          }   Data in db like this  RID Region 1   Canada 2   UK 3  London 4  Paris 5  UK 6  Brazil 7  London   Data in drop-down like this   Canada UK London Paris UK Brazil London   but i want data like this   Canada UK London Paris Brazil   any solution?


I had donated to UBUNTU but how do I get the latest UBUNTU software?

How do I get the copy of UBUNTU after donating to UBUNTU?


Here I want to prove the following: $$R(s_{1},s_{2},\ldots ,s_{k}) < R(s_{1}+1,s_{2},\ldots ,s_{k})$$ For $s_{1},\ldots ,s_{k} \in \mathbb{N}$, $s_{i}\geq 2$. (Or can it hold with equality in some cases?)    Try contradiction: Suppose $\exists s_{1},\ldots ,s_{k} \in \mathbb{N}$, $s_{i}\geq 2$, for which $R(s_{1},s_{2},\ldots ,s_{k})\geq R(s_{1}+1,s_{2},\ldots ,s_{k})$. Then consider an $k$-colouring of the edges of $K_{R(s_{1}+1,s_{2},\ldots ,s_{k})}$ with colours $c_{1},\ldots c_{k}$. Then we either have a $c_{1}$ $K_{s_{1}+1}$, in which case we would also have a $c_{1}$ $K_{s_{1}}$, or a $c_{2}$ $K_{s_{2}}$, ... , or a $c_{k}$ $K_{s_{k}}$. So the assumption is satisfied with equality.    Now I suppose we could get a contradiction from the minimality of $R(s_{1},s_{2},\ldots ,s_{k})$, so consider removing an edge: Let $C$ be an $k$-colouring of the edges of $K_{R(s_{1}+1,\ldots ,s_{k})-1}$.    But now we can't say anything about the existence of any complete monochromatic subgraph of the appropriate sizes..    Try induction:    Let me start with $k=2$ for now and assume WLOG $s_{1} := s \leq t =: s_{2}$. [Base Case] $2=s \leq t$. Then $R(2,t) = t$. Now  $> t$ for $t \geq 2$.    [Induction step] Assume $3 \leq s \leq t$. It suffices to exhibit a red-blue colouring of edges of $K_{R(s,t)}$ with no red $K_{s+1}$ and no blue $K_{t}$. But by definition, any red-blue colouring of edges of $K_{R(s,t)}$ contains either a red $K_{s}$ or a blue $K_{t}$. So consider those colouring in which we have a red $K_{s}$ and no blue $K_{t}$. But this move is not possible in general because we can't assume that we have an exclusive or for all of the colourings so these colourings we choose may be empty.


How is searching not like seeking and vice versa?

What makes searching not like seeking? What makes seeking not like searching?  How do we decide when to use one over the other?


How to make or share Google photos to public?

Since Google has decided to retire Picasa in order to focus on a single photo service in Google Photos – a new, smarter photo app that works seamlessly across mobile and the web.  Now there is only one question in everyone's mind. How to set the photo album "share to public" or How do I make an album public?


A Call of Duty to show how close we are to each badge

In the Call of Duty online stats pages you see how far away from each challenge you are. You achieve small parts of each challenge just by playing the game, but when a challenge is within reach your behaviour changes and you concentrate on achieving it.  Can we have a similar set of stats for gaining new badges? The number you have got so far (or number remaining), then a little progress bar for scanning down the list more easily. If you can only get one instance of a badge then you could mark it as completed.   For example:  [125] [=   ] Copy Editor × 655         Edited 500 posts [68]  [=== ] Stellar Question × 889    Question favorited by 100 users   You could add more badges for getting badges. E.g. Get all bronze badges, get all silver badges, getting a bronze badge 5/10/x times.  I bet analysing the data will show how the visitor behaviour has changed and it'll be a good way to increase traffic as well.


The act of talking to somebody about the same thing over and over

What do I say for somebody keeps bringing up and talking into somebody's ear about the same topic again and again till he is fed up and finally agrees to it?   Example: Mary's been [word or idiom] to John till he finally bought it for her.


Why does mesh imported into Unity can be seen through?

I made simple funny character in blender without animations. In Blender it looks good, this is the screenshot of it:    When i put my character.blend file into Unity assets folder, it says    "Meshes may not have more than 65534 vertices or triangles at the moment.   Mesh 'Plane' will be split into 2 parts: 'Plane_MeshPart0', 'Plane_MeshPart1'".   Also in Unity my character was cut down at joining of the legs and body as shown in figure.   How to import .blend file into Unity and avoid these artifacts ? Which format should I use ?


Do Cantrips Benefit From Spell Attack Modifiers?

While I was rolling to attack for my Warlock's Eldritch Blast, I said I don't think it gets my Spell Attack Bonus because I didn't see it say such anywhere, and the DM (also new to D&D) agreed, said it sounded correct as cantrips don't get the bonus. As I have been reading however it seems that they do get the bonus to attack rolls, it just certainly doesn't carry over to damage save rare exceptions. Can anyone verify this to me? And if so, show a source so I could let my DM know?


Blender theme for old people with vision problems

I have been looking everywhere online trying to find a way to make the Blender interface bigger. I have a lot of trouble seeing the text in the default theme. I have tried adjusting the fonts, which makes some of it easier to read, but then the fields the words are in are not big enough and seem to be getting cut off. I am not sure if there is a fix for this. Maybe there’s a theme called Old Guy Special? If anyone can help I would be grateful.


Can I create a chatter group dynamically through apex code

Is there any way to create chatter group through apex code


Get all parts of a parenthesisfull expression

i need a regexp which returns all parts of a string which has parenthesis.  An example would be:  if ((a and b) or (a and)) or (c and d) or (e and f)   would return  ['if', '((a and b) or (a and))', 'or', '(c and d)', 'or', '(e and f)']   .  Can anybody direct me how could i achieve it? Unfortunately i don' t have a very deep friendship with re .  The biggest problem is the "parenthesis inside a parenthesis" .  Many thanks.


Is $E=h\upsilon$ applicable to an electron

If we consider the wave nature of electron whose frequency is $\nu$, is the equation $E=h\nu$ applicable to electrons?


Why my home PC wallpaper updates to my office wallpaper

In my office, they have some server policy that changes the wallpaper every month. I can't change my wallpaper there.  The problem is that my home PC and laptop also get updated, and I dont know why. And even when I change the wallpaper, it is reverted back to the office one. The only relation that I can think of is that my computers are linked to my Hotmail or Gmail account.  All three PCs are running Windows 10.  What should I do to prevent my home PC and laptop from getting their wallpapers updated?


How do I mute the startup chime on a modern Mac?

How can I get my Macbook Pro Retina to not make that annoying 'bong' chime sound when booting up?   You can always hold "mute" during boot up, but that gets annoying fast if you always want the sound muted. Older systems (OS X 10.6 and below) can use StartupSound.prefPane, but that no longer works on modern  claims to do this, and it does, but it suffers from a bug where it will always unmute the system volume on login, even if the volume was muted when you last logged out.  Is there a way to accomplish this?


Where should I put software I compile myself?

I need to compile some software on my Fedora machine. Where's the best place to put it so not to interfere with the packaged software?


Finding an angle within an 80-80-20 isosceles triangle

The following is a geometry puzzle from a math school book. Even though it has been a long time since I finished school, I remember this puzzle quite well, and I don't have a nice solution to it.  So here is the puzzle:    The triangle $ABC$ is known to be isosceles, that is, $AC=BC$. The labelled angles are known to be $\alpha=\gamma=20°$, $\beta=30°$. The task is to find the angle labelled "?".  The only solution that I know of is to use the sine formula and cosine formula several times. From this one can obtain a numerical solution. Moreover this number can be algebraically shown to be correct (all sines and cosines are contained in the real subfield of the 36th cyclotomic field). So in this sense I solved the problem, but the solution is kind of a brute force attack (for example, some of the polynomials that show up in the computation have coefficients > 1000000). Since the puzzle originates from a book that deals only with elemetary geometry (and not even trigonometry if I remember correctly) there has to be a more elegant solution.


Box around a few items in an itemize environment

I'm using beamer and want to call out a few items in a list by drawing a box around them, and, ideally, having a small comment appear next to the box, like this:


Term for when a rhyming word is unspoken?

I was watching a cartoon and part way through a song came on, and it had these two stanzas:     Why do you have to look up to her   Aside from in a literal sense?   Don't you know that a power that big   Comes with a bigger expense?        And can't you see that she's out of control   And overzealous?   I'm telling you for your own good,   And not because I'm-     But in the second stanza the character omits the second half of the rhyming couplet, while keeping to the same five syllables.   This is also done in songs where the omitted half of the rhyming is a swear word, often with the intent of the listener completing the intended word mentally.  What is the term for this technique? I don't think it's  as the word doesn't just run over, but ends.


Factoring $x^{2020} + x^{2019} + \cdots + x + 1$ on $\mathbb Q[x]$

An instructor asked me to factor $x^{2020} + x^{2019} + \cdots + x + 1$ on $\mathbb Q[x]$, which he considers to be tricky.  This polynomial is trivial to factor on $\mathbb C[x]$ and $\mathbb R[x]$. Just notice $x^{2021} - 1 = (x-1)(x^{2020} + x^{2019} + \cdots + x + 1)$ and we know  $$ \begin{equation} \begin{aligned} x^{2020} + x^{2019} + \cdots + x + 1 =&  \prod_{k=1}^{2020} \left[x - \cos(\frac{2k\pi}{2021}) - i\sin(\frac{2k\pi}{2021})\right] \\ =& \prod_{k=1}^{1010} \left[x - \cos(\frac{2k\pi}{2021}) - i\sin(\frac{2k\pi}{2021})\right] \left[x - \cos(\frac{2k\pi}{2021}) + i\sin(\frac{2k\pi}{2021})\right] \\ =& \prod_{k=1}^{1010} \left[x^2 - 2\cos(\frac{2k\pi}{2021})x + 1\right] \end{aligned} \end{equation} $$  It's not easy to "combine" the factorization over $\mathbb R[x]$ to form a factorization over $\mathbb Q[x]$ though.  Should I go the other ways and try to prove it's irreducible? Maybe not. Since $2021 = 43 \times 47$, it seems reducible.


On iOS 7, there is a feature under Cellular in Settings called: Use Cellular Data For:. This lists all of the apps I have on my iPhone 4 with individual On/Off Switches to disable or enable cellular data. So, I disable it on several of my apps, one of which being Music. When I open my Music app, it tells me…     Cellular Data is Turned Off for "Music"   You can turn on cellular data for this app in Settings.   This alert does not occur once, but every time I clear the Music app from my multitasking and re-open it. Is there a way to dismiss this alert once and forever?  The alert looks something like this, but for Music:


What is the best way to create the best pseudo-random number generator? (any language works)


In PHP 5, what is the difference between using self and $this?  When is each appropriate?


What is $D_{10}/\left \langle \sigma \right \rangle$ where $D_{10}$ is the Dihedral Group or a regular Pentagon?

$D_{10} = ({1, \sigma, \sigma^2, \sigma^3, \sigma^4, \tau, \sigma\tau, \sigma^2\tau, \sigma^3\tau, \sigma^4\tau}) $ where $\sigma = (12345)$ and $\tau = (13)(45)$. I'm stuck on trying to calculate what $D_{10}/\left \langle \sigma \right \rangle$ is. I'm trying to find all the images of $f$ where $f: D_{10} \longrightarrow H $ with the map being a homomorphism.


Are these words interchangeable? When would you use one over the other?  For example, is it correct to say you "feel nervous" or "feel anxious"? Is it correct to say you are an "anxious person" or a "nervous person"?  The Oxford Dictionaries website defines  as "feeling ... nervousness ... about something with an uncertain outcome" or "... characterised by nervousness".  is defined as "the quality or state of being nervous".  is defined as "anxious or apprehensive". It seems circular to me.  In fact, one of the example sentences of "nervous" is:     The days are gone when I am going to get nervous about games or worry about whether or not I play well.   Yet, according to the definition of "anxious", it sounds to me that "anxious" would be a better fit, since it relates to "something with an uncertain outcome".


Why didn't Harvey Specter send Mike Ross to get a law degree instead of hiring him immediately?

Points to notice:   Harvey Specter was clearly impressed by Mike Ross' ability. Mike Ross wanted to get out of criminal activity. Mike Ross stated that he always wanted to be a lawyer, but he was disbarred from Harvard Law School as he was caught writing exam for someone else (Trevors suggestion so he could make extra money as he was poor) he couldn't pursue it.   Hence, he could have given an offer to Mike, that since he needed to hire someone exceptional who Mike is, that he would pay for his tuition and in return when he gets his degree Mike would have to work for him. This way Mike gets a degree and Harvey has hired an associate, for future.  We know Jessica paid for Harvey's Law education, so Harvey could have done the same.  Why didn't Harvey sent Mike to complete his education?


python args not working unless it has a position reference

def test_stats(team, *args):      if not args:           [do some stuff]     else:          team_fixtures = (Fixtures.objects.filter(home_team=team_details.id) | Fixtures.objects.filter(away_team=team_details.id))/ .filter(fixture_datetime__lt=datetime.now()).filter(fixture_datetime__year=args[0])   And for reference sake - args is:  date_year = datetime.now().year   for this query to work i need to reference args as   .filter(fixture_datetime__year=args[0])   because if I use  .filter(fixture_datetime__year=args)   I get the error:     int() argument must be a string, a bytes-like object or a number, not   'tuple'   I understand that it thinks it's a tuple even though it's only one value but when I do the following in terminal  type(date_year)   I get class  back.  Why do I have to reference position here when it looks to be just one value returning?


Formula for autocorrelation in R vs. Excel

I am trying to figure out how R computes lag-k autocorrelation (apparently, it is the same formula used by Minitab and SAS), so that I can compare it to using Excel's CORREL function applied to the series and its k-lagged version. R and Excel (using CORREL) give slightly different autocorrelation values.  I'd also be interested to find out whether one computation is more correct than the other.


I'm a newbie on the Mac world and I'd like to know if it's possible to cut a file using a shortcut (like Ctrl+X on Windows).


Let $T : V → W $ be an injective linear transformation, where $V, W$ are vector spaces of dimension $n$ over the field $K$. If $\{e_1,\ldots , e_n\}$ is a basis for $V$ , show that $\{T(e_1),\ldots , T(e_n)\}$ is a basis for $W$.


TV movie: Man travels in a kind of tank with a robot woman

The only thing I remember is that the main character and travels with a woman in a kind of tank in a post-apocalyptic world. At some point, the robot woman is hurt and broken… (you can see some led light in her face). The man fires up the tank.  It was a movie. I show it on TV. Should be from the eighties. Also is a real action movie.  About the characters. The girl was not blonde for sure. They use rifles and shotguns..  The van/tank had a upper round trap door and a side door. It was armored.   Then man and the robot had some kind of relationship... even sex.  While not damaged, the girl had nothing visually identifying she as a robot.


Paths of `pgfimages` in beamer templates

I am working on a beamer template for my institute in which I am using \pgfdeclareimage for images. I have quite a lot images and logos for different projects/experiments/groups and I organised the files as   mainfolder/  -example.tex  -beamerthememy.sty  -art/myexample.pdf   Now the problem is how to declare the images. Using   \pgfdeclareimage[width=.5\paperwidth]{test}{art/myexample.pdf}    works for the .tex file in the same folder as the .sty file and the art directory.   But when I put the .sty file and the art directory inside my $TEXMFHOME directory (and the .tex file somewhere else) I have to use   \pgfdeclareimage[width=.5\paperwidth]{test}{myexample.pdf}   I there a way to declare the image which works in both cases?    \documentclass{beamer}  % works if .tex file is in the same directory as the .sty file and `testdir` \pgfdeclareimage[width=.5\paperwidth]{test}{art/myexample.pdf}    % works if .sty file and `textdir` are in my lokal `texmf` folder %\pgfdeclareimage[width=.5\paperwidth]{test}{myexample.pdf}       \begin{document}      \begin{frame}          \pgfuseimage{test}     \end{frame}   \end{document}   To make the example minimal I moved \pgfdeclareimage from the .sty file to the .tex file. If you have the feeling, this is too minimal, I will add a .sty file


Is the return type part of the function signature?

In C++, is the return type considered part of the function signature? and no overloading is allowed with just return type modified.


What is a basis for the space of $n\times n$ Hermitian matrices?

So I was working on a specific problem related to Hermitian matrices. If we let $H_n$ denote the set of n x n Hermitian matrices. We're told that $H_n$ is a real vector space under matrix addition and scalar multiplication by a real number. I don't understand why though, because what would prevent you from adding two imaginary numbers?   Then we're told to write a basis for $H_2$. Now for a Hermitian matrix, it's equal to its conjugate transpose, so a basis would be:  $$\left(\begin{array}{ccc} 0 & 1 \\ 1 & 0\\ \end{array}\right) , \left(\begin{array}{ccc} 0 & 0 \\ 0 & 1\\ \end{array}\right), \left(\begin{array}{ccc} 1 & 0 \\ 0 & 0\\ \end{array}\right), \left(\begin{array}{ccc} 0 & i \\ -i & 0\\ \end{array}\right)$$  Which should be the same as the basis for a symmetric matrix, correct?   From there though, we have $sH_n$ represent skew-Hermitian matrices. I believe the basis for $sH_n$ is:  Edit: updated my basis here.   $$\left(\begin{array}{ccc} 0 & -1 \\ 1 & 0\\ \end{array}\right), \left(\begin{array}{ccc} 0 & i \\ i & 0\\ \end{array}\right)$$  because the diagonals would have to be zero right, to make the conjugate transpose of A be equal to -A?  From there though, they ask if $sH_n$ is a real vector space, and I'm not sure what to answer. It's real if we only use reals?  I'm asked the same thing for $U_n$, where $U_n$ represents n x n unitary matrices. I'm not even sure how to come up with a basis for this set??  Edit: Technically, the question says "Is $U_n$ a real vector space? Write a basis if possible."  I suppose I couldn't write a basis because $U_n$ is not a real vector space then. How would I show that though?   Thanks in advance for your help.


Finite fields, existence of field of order $p^n$,proof help

I have to prove the following theorem :     Let $p$ be a prime number and let $n \ge 1$,be any integer, then there exists a field of order $p^n$.   My attempt  I started off by considering the polynomial $f(x)$=$x^{p^n}-x \in \Bbb Z_p[x]$.  I took $F$ to be the splitting field of $f(x)$ over $\Bbb Z_p$.  Since $F$ is the splitting field of $f(x)$ over $\Bbb Z_p$ therefore $f(x)$ has exactly $p^n$ zeros in $F$ counting multiplicity.  Also since $f'(x)$ = $p^nx^{p^n-1}-1$ , therefore $f(x)$ will not have any multiple zeros and hence it will have $p^n$ distinct zeros in $F$.  Then I took $K =\{k \in F | k^{p^n} = k\}$.  I was trying to prove that $K$ is a sub-field of $F$.  $1 \in K$ thus $K$ is non-empty.  For $a,b \in K$ $a^{p^n}=a$ and  $b^{p^n}=b$  So $(a+b)^{p^n}$ (should be) = $a^{p^n}$+$b^{p^n}$, this is where I am currently stuck!  I know that this is true when  $p$ is the characteristic of a field, but why would this expansion be true here?


Can someone help me to identify some English synonyms/idioms meaning to "wonder so hard"? The word or phrase I'm looking for could be used in a situation where somebody tries to solve a very confusing riddle or is unable to manage what is going on.  I thought one example might be "breaking [somebody's] head open" (like in other languages: "den Kopf zerbrechen" or "rompersi la testa"), but I realized that the English meaning is literal in that case.


My question is simple.  Let $f(x)=x^3\sin(\frac{1}{x}), x\in \mathbb{R}$. Is this function uniformly continuous on $\mathbb{R}$?  I think it is not uniformly continuous when $x$ goes to $\infty$


Say a paranoid magic user has Blurring bracers of armor, Mirror Image, Blink, Invisibility, Wings of Cover, and Etherealness going. How to calculate the miss chances versus a normal attack, magic attack, force attack, and so forth?


Why is $\sin(d\Phi) = d\Phi$ where $d\Phi$ is very small?

I haven't touched Physics and Math (especially continuous Math) for a long time, so please bear with me.  In essence, I'm going over a few Physics lectures, one which tries to calculate the Force exerted by uniform magnetic field on a semi circular current carrying wire.  The mathematics that puzzles me is this, that:  $$ \sin(d \phi) \thickapprox d\phi $$  where $d\phi$ is very small. .


How to make a incandescent lightbulbs filament withstand shock?

I want to know, is there a way to make a tungsten lightbulbs filament withstand a mass amount of thermal shock while still producing a vast amount of heat?


How can I remove extra space after the figure, but keep it above the figure

Code:  \documentclass{article} \usepackage[a4paper]{geometry} \usepackage[utf8]{inputenc} \usepackage[english]{babel} \begin{document} text text text text text text text text text text text text text text text text text text \begin{figure}[ht!]   \centering   \rule{5cm}{5cm}   \caption{Caption} \end{figure} \section{Section name} \end{document}   Output:    The space from float is added to the space before section, and it seems too big. I looked here: , and gmedina said, that I must use \intextsep. But when I tried:  text text text text text text text text text text text text text text text text text text \setlength{\intextsep}{0pt}   Space after "text text" disappeared. Setting \belowcaptionskip and \botfigrule to 0 didn't help at all.  How can I remove extra space after the figure, but keep it after the text above the figure? Without \vspace if possible.


How do I check the progress of Badblocks if it's running in the background?

I'm running a drive check on my unmounted USB3 drive with:  sudo fsck.ext4 -cDfty -C 0 /dev/sda1 &   However, I sent it to the background and would like to check its progress. It's been running on a 4 TB drive for 35 hours already.  Is there a way to check its progress?


Column calculated value to get the current date time?

I have tried using =TEXT(Today,"mm-dd-yyyy hh:mm:ss") but that only returns the 5/5/55 00:00:00, it won't give the time. How do I get both the date and time with a calculated formula?


Prove irrationality of $\sqrt{2+\sqrt{2}}$ and $\sqrt{2}+\sqrt{3}$

I am trying to prove the irrationality of the above two numbers, but I don't know how. What would be a general strategy for problems like these?  My current strategy is trying to reach a contradiction by starting with $\sqrt{2+\sqrt{2}}=\frac{a}{b}$ with integers $a$ and $b$ and somehow reaching that $a$ needs to be both even and odd for example. But I keep getting stuck.


Show that the letters X and I (thought of as topological spaces) are not homeomorphic

I am reading Hajime Sato's: Algebraic Topology, an Intuitive Approach.  His Sample Problem 1.3 is: Show that the topological spaces X and I are not homeomorphic.  (Note that this requires a font where I appears as a simple straight vertical line.)   Sato argues by contradiction.  Brief sketch of his argument: Suppose there existed a homeomorphism $f: X \to I$.   Remove the point $x_0$ which lies at the crossing point of X.  Then the restriction of $f$ to the new domain is still homeomorphic.  But $X-x_0$ consists of four disjoint line segments (each half open), and $I-f(x_0)$ consists of two disjoint line segments (each half open). Therefore, he concludes, the spaces aren't homeomorphic.    I don't understand how the conclusion (in the final sentence) follows.   I know that two spaces are homeomorphic if there exists a bijective continuous map  between them with a continuous inverse.  And I know the characterization of continuity in terms of open sets.   But somehow I am not seeing it.   I feel like I'm missing something really obvious.  Any ideas?


When adding a new object in object-mode a dialog with settings pops up. I know it is possible to bring that dialog back, but can't remember how?


Female or Male pronouns matter in this case?

As far as I understand, English nouns do not have a 'gender' so to speak - when I say the word 'manager' I may be referring to a woman or to a man, one cannot infer the gender just by hearing the word. This is different of French, for instance, where you may use directeur to a man and directrice to a woman.  I have been reading a lot of texts and papers on management lately and I have noticed some texts where the authors usually use she to refer to a leader or manager, as in the snippets below:     The product owner herself should generally not come up with new ideas or changes [...]   Or     An analyst may work on an upcoming large feature that she feels hasn't received enough attention [...]   Or     [...] assume that the customer identifies [...] she then selects an additional 30% more work [...]   My question is:- is there any reason as to why the author (who is American) has chosen to refer to customer, analyst and product owner using she? Or does it not make any difference at all and the author could well have used he without any issue?  I am assuming it does have a reason to say she, otherwise the author would've said she/he (she/he feels hasn't received enough attention) and himself/herself (The product owner herself/himself)   Let me just stress out one point case someone gets jumpy:- I am not being sexist - I don't care if the author says he or she or the person or the being. All I am trying to do is understand if there is a special reason as to why he treated those roles as female roles. I may also add that in my native language every noun has a gender, as in French or Portuguese, and therefore treating a noun as a female one in English puzzles me a bit.


Weird behaviour when using two (2) $ signs?

Over at Worldbuilding I posted  and included:  * Build a $1 Billion home ([Mukesh Ambani](https://en.wikipedia.org/wiki/Antilia_(building))) * Build a $1.2 Billion Yacht ([Roman Abramovich](https://en.wikipedia.org/wiki/Eclipse_(yacht)))   and that came out as:  whereas here it comes out just fine:   Build a $1 Billion home () Build a $1.2 Billion Yacht ()   I got around that by using USD instead of $ and tested on Ask Ubuntu, Cooking and it seems to be limited to Worldbuilding, but obviously, I don't have an account everywhere...


Multi armed bandit for general reward distribution

I'm working on a multi-armed bandit problem where we do not have any information about the reward distribution.   I have found many papers which guarantee regret bounds for a distribution with known bound, and for general distributions with support in [0,1].   I would like to find out if there is a way to perform well in an environment where the reward distribution does not have any guarantees about its support.  I'm trying to compute a nonparametric tolerance limit and using that number to scale the reward distribution so I can use the algorithm 2 specified on this paper (). Does anyone think this approach will work?  If not, can anyone point me to the right spot?  Thanks a bunch!


Let $n$ be an odd integer not divisible by $3$. Prove that $n^2 \equiv 1 \ (\mathrm{mod}\ 24)$. We just started congruences in class so I'm a little stuck as to how to solve this.  So far, I've done: $24 \mid n^2 - 1$ and since $n$ is odd, I defined $n = 2m + 1$ for some integer $m$. Plugging that in gives me $24 \mid 4m(m+1)$, and now I'm not sure what to do with this. Where did I go wrong/any tips on how to solve this?


I recently bought a bunch of new hard drives, servers and other items. What is a good way to stress test the hard to ensure it won't crash in the first week?  I've read and heard that if hardware is to break it will be within the first week typically


It's rather tedious to show using Fubini's Theorem and induction on $n$ that the volume of the region $x_1+x_2+...+x_n \leq 1$ with $x_1,...,x_n$ nonnegative is $\frac{1}{n!}$.  Is there an easier way to see this?


Getting an element by class added with addClass()

I'm adding a class with addClass() to an element the user clicked on with  $('.question').click(function() {     $(this).next('.answer').slideDown();     $(this).addClass('open');     $(this).next('.answer').siblings('.answer').slideUp();     $(this).siblings('.question').removeClass('open'); });   This works fine. But now I will get the element with class="open" in order to slideUp() the answer below. But I can't get it to work. I tried  $('.open').click(function() {     $(this).next('.answer').slideUp();     $(this).removeClass('open'); });   and  $('.open').on('click' function() {     $(this).next('.answer').slideUp();     $(this).removeClass('open'); });   Do you have any advice?


Lightning component added to a quick action appears as a feed item rather than a button, on the case page layout

I have created a lightning component that is to be accessed on click of a button on Case record. I have also created a quick action as follows :  However, on adding the same to the Case Layout, this button is appearing as a feed item, which I don't want. I want it to be available as a button. How can this be fixed?


I  that there are two folders for unit files (not in user mode). /usr/lib/systemd/system/: units provided by installed packages /etc/systemd/system/: units installed by the system administrator  Conflicting with this understanding is the answer to this question: . Can someone fill in the missing information so that I understand what is going on? (UPDATE: The answer has been updated, and my understanding no longer conflicts with it.) Also, it seems that the scripts are organized in subfolders within the /etc/systemd/system/ folder: getty.target.wants multi-user.target.wants  In another location I read that there are other locations. It seems these are for user-specific services. /usr/lib/systemd/user/ where services provided by installed packages go. /etc/systemd/user/ where system-wide user services are placed by the system administrator. ~/.config/systemd/user/ where the user puts its own services.   Update 2015-08-31: For the sake of others, here is a link to a related question I recently asked:


I hear a lot things like:  There's tons of papers.  Is this acceptable? Related:  By the way, what about a contraction there're?


I am confused about Holm-Bonferroni.  Suppose we want to compare age of female and male students using t tset. We also want to compare length of arm and elbow between male and female students.  I think we need to use Holm-Bonferroni correction in elbow and arm cases. But there is no need to Holm-Bonferroni correction for the p value of age.  Is this right? what means multiple comparison which is said about Holm-Bonferroni? please mention one example. Is Holm-Bonferroni correction needed in some logistic regression models too?


Face missing in edit mode but visible in object mode

I'm having a weird glitch i believe. I'm new to blender and was fiddling around, practicing with a random helmet mesh and added a boolean intersection into the helmet. After this, when I am in edit mode (with wire-frame turned on, a trigon in my mesh is not showing, but when i switch over to object mode the hole disappears. I checked face selection (hotkey 3) to see if there was a duplicate helmet or surface covering up the face but there is nothing. Is this a glitch? My blender file:


I have set up an EC2 instance with ArchLinux for a client, and I am currently in the testing phase.   I am using PuTTY from Windows 8 to SSH into the machine. I have set up the connection profile correctly, and specified the correct key file.   When trying to login, I am presented with the option to choose which user I want to login as. I choose "root" and the connection proceeds with no problem, though I am not asked for the root password.  I want to forbid root logins, but when trying to login as any other user I get from the system:  Server refused our key   Also I get a popup window saying:  Disconnected: No supported authentication methods available (server sent: publickey)   Why is it that I cannot login as any other user? It is very important for me to forbid root logins.   On a side note, is it normal that I am not prompted for the root password?


Computing parameters for QGIS Affine transformation?

I have a vector floorplan (DXF) that I've added to a blank project in  using the Dxf2Shp plugin.   I've been reading tutorials and StackExchange threads, but I can't seem to find out how to "georeference" my layer?  I'm assuming I can somehow select the corners of the building and set the lat/long.  My goal is to export a shapefile that I can use with  and .  I realized that the project coordinates were actually lat/long coordinates:    and I need to use the "Affine (Rotation, Translation, Scale)" plugin to "place" my CAD drawing.


Setting system-wide environment variable using /etc/environment

I want to add to my PATH so that my computer (Ubuntu) knows where to interpret the "R" command (for launching R). I need this so a Terminal or RStudio can find where I installed R.  I did all of the following, none of which permanently associates the command R with the directory of my R installation in ~/R/bin.   export PATH=$PATH:$HOME/R/bin      <- This works within the Terminal session it was enacted in, but if I open up a second terminal, PATH goes back to what it was before I added $HOME/R/bin to it   The same "local Terminal only" behavior occurred when I added this line to two different files, based on recommendations on various websites:   sudo vim ~/.profile   export PATH=$PATH:$HOME/R/bin  sudo vim /etc/environment  export PATH=$PATH:$HOME/R/bin    Why won't R be recognized in new Terminal sessions?


Just use one single math symbol without loading a whole font

How can I change the code above to obtain the glyph without loading several fonts?.. If it is possible. :-) \documentclass[12pt]{article}  % Source: https://tex.stackexchange.com/a/40767/6880 \newcommand{\PrintMathFonts}{%   \count255=0   \loop\ifnum\count255<16     (\the\count255:~\fontname\textfont\count255)          \advance\count255 by 1  \repeat}     \DeclareFontFamily{U}{mathb}{} \DeclareFontShape{U}{mathb}{m}{n}{   <-5.5> mathb5   <5.5-6.5> mathb6   <6.5-7.5> mathb7   <7.5-8.5> mathb8   <8.5-9.5> mathb9   <9.5-11> mathb10   <11-> mathb12 }{} \DeclareSymbolFont{mathb}{U}{mathb}{m}{n} \DeclareFontSubstitution{U}{mathb}{m}{n}  \DeclareMathSymbol{\test}{3}{mathb}{"D8}   \begin{document}  \PrintMathFonts  $\test$  \PrintMathFonts \end{document}


Is it ethical to omit the PhD credential from my resume?

I am applying for a Statistical Programmer position at a commercial research organization (CRO), and I am wondering if it is unethical to omit my PhD in Statistics from my resume?  All of my degrees (Bachelor's, Master's, PhD) are in Statistics, and I am just wondering if it would be ethical to just list my Bachelor's and Master's degree on my resume, and indicate my experience as a RA while I was a PhD student as my "work experience"? (Since this Statistical Programmer position only requires Master's degree plus some years of experience)  I am asking this question because I do not want to do anything unethical/cause me troubles later on.


I have a question about the calculation of RSA decryption with the help of the CRT (Chinese Remainder Theorem).  If $c$ is the crytogram, $m$ the message, $d$ the private key and $p, q$ the primes. Then in RSA with CRT they use:  $m_1 = c^d \bmod p = c^{(d \bmod (p-1))} \bmod p$ with the help of .  But for FLT you need that $\text{gcd}(c,p)=1$ That is given if $c$ is less than $p$ because $p$ is a prime. But what is, if $c$ is bigger (because $c = m^e \bmod p*q$)? Then we can have $\text{gcd}(c,p)=p$  Does FLT also apply in this case? Or did I do something wrong?


Detecting failure of a Bash "export" value

In Bash I'm executing a command and putting the result in a variable like this:  export var=`svn ls`  But if SVN fails for some reason--say it returns a non-zero error code--export still returns status code 0. How do I detect if the executed command fails?


A question matrix multiplication commutative?

If $A$ and $B$ two matrices of order $n\times n$ such that $AB=I$ then $A$ and $B$ are commutative and Give any two reasons for A and B commutative.   I know what   ... one matrix is the Identity matrix.  ... one matrix is the Zero matrix.  ... both matrices are 2×2 rotation matrices. (basically case #2)  ... both matrices are Diagonal matrices.  how to prove part one


How would I know if my SSD is compatible with my motherboard?

Motherboard - Gigabyte B360M Gaming HD  SSD - Kingston 500GB A2000 M.2 2280 Nvme Internal SSD PCIe


There is a finite field of order $n$ if and only if $n=p^k$ for a prime p and an integer k - where do I get a proof of it?

this is a quite easy theorem which shouldn't be too hard to prove - I need it for some presentation; However I'm looking for the proof in the internet and can't find it - does anyone know where I can find the formal proof of it?


I want to factory reset my ubuntu. Then I found about restter but when I run it i get an error that is: . I could not get how to fix it.  Is there any alternative.


Is an account needed to post images on Stack Exchange using Imgur?

How do I post images on Stack Exchange using Imgur? Do I have to make an account on Imgur?


regex search fail with special characters

I am trying to make a regex search in JavaScript, but it doesn't work with special characters such as $ and +.  var string = "Keto After 50 $20 CPA+FS"; string.search(/Keto After 50 $20 CPA F+S/g);   I expect a match and a result of 0 instead of -1.


How can I get mossy cobblestone on survival in mcpe?

Ok. I was playing mcpe and I noticed that mossy cobblestone isn't in the crafting table. And I wanted to make a house that looks old. So if its possible to get mossy cobblestone without mods, how can I get it on survival? If it is possible can somebody please leave a step by step guide. Thank you.


How to compare two different files line by line in unix?

File1:  123 234 345 456   File2:  123 234 343 758   Expected output: File3:  TRUE TRUE FALSE FALSE   so the code should compare two files and print 'TRUE' if it matches otherwise it should print 'FALSE' in the new file. Could anyone please provide the solution for this?


Setting the subfigures horizontally in pgfplots

Figures are plotted vertically but i want to set them horizontally. Kindly guide me the possible options.  \documentclass[conference]{IEEEtran} \ifCLASSINFOpdf \else \fi \hyphenation{op-tical net-works semi-conduc-tor} \usepackage[pdftex]{graphics} \usepackage{algorithm} \usepackage{algorithmic} \usepackage{pgfplots} \usepackage{subcaption} \usepackage{pgfplotstable} \usepackage{amsmath} \usepgfplotslibrary{dateplot} \usepackage{cite} \usepackage{url} \usepackage{amsbsy} \usepgfplotslibrary{patchplots} \pgfplotsset{compat=1.7}  \hyphenation{op-tical net-works semi-conduc-tor} \begin{document}  \begin{figure} \centering \hspace{-2.15cm}     \begin{subfigure}{.45\linewidth} \begin{tikzpicture} \begin{axis}[     ylabel=Satisfied Requests,     xlabel=Requests,     height=5cm, width=8cm,     legend cell align=left, legend columns=-1, legend style={inner xsep=2pt, inner ysep=2pt,at={(0.365,0.216)},anchor=east,font=\tiny},     label style={font=\small},     legend columns=1,     xticklabel style={anchor=near xticklabel},     ymin=0.2, ymax=0.6, ytick={0.1,0.2,0.3,0.4,0.5,0.6},     xmin=0, xmax=1.1, xtick={0,0.2,0.4,0.6,0.8,1.0}, ] \addplot [thick,mark size=1.8pt,mark=square,red] table[x=x, y=y]   {a.txt}; %\addplot [thick,mark size=1.8pt,mark=asterisk,blue] table[x=x, y=y]  {Request vs. satisfied requests-2.txt}; %\addplot [thick,mark size=2.3pt,mark=diamond,black] table[x=x, y=y] {Request vs. satisfied requests-3.txt}; %\addplot [thick,mark size=1.8pt,mark=o,brown] table[x=x, y=y] {Request vs. satisfied requests-4.txt}; %\legend{Proactive high load, Proactive low load, Reactive low load, Reactive high load} \end{axis} \end{tikzpicture} \subcaption{} \end{subfigure}  \hspace{-2.05cm}  \begin{subfigure}{.45\linewidth} \begin{tikzpicture} \begin{axis}[     ylabel=Satisfied Requests,     xlabel=Cache size,     height=5cm, width=8cm,     legend cell align=left, legend columns=-1, legend style={inner xsep=2pt, inner ysep=2pt,at={(0.996,0.21)},anchor=east,font=\tiny},     label style={font=\small},     legend columns=1,     xticklabel style={anchor=near xticklabel},     ymin=0, ymax=1.1, ytick={0,0.2,0.4,0.6,0.8,1.0},     xmin=0, xmax=1.1, xtick={0,0.2,0.4,0.6,0.8,1.0}, ] \addplot [thick,mark size=1.8pt,mark=square,red] table[x=x, y=y]   {a.txt}; %\addplot [thick,mark size=1.8pt,mark=asterisk,blue] table[x=x, y=y]  {Cache vs. satisfied requests-2.txt}; %\addplot [thick,mark size=2.3pt,mark=diamond,black] table[x=x, y=y] {Cache vs. satisfied requests-3.txt}; %\addplot [thick,mark size=1.8pt,mark=o,brown] table[x=x, y=y] {Cache vs. satisfied requests-4.txt}; %\legend{Proactive high load, Proactive low load, Reactive low load, Reactive high load} \end{axis} \end{tikzpicture} \subcaption{} \end{subfigure}  \vspace{-0.08cm} \caption{Simulation results for Proactive vs. Reactive caching with low and high load. (a) Hit radio vs. Number of requests (b) Hit radio vs. cache size} \label{LQI-timex} \end{figure}  \end{document}      data file  x   y 0.1 0.53896 0.2 0.52122 0.3 0.50326 0.4 0.48145 0.5 0.45054 0.6 0.42319 0.7 0.40357 0.8 0.38396 0.9 0.36315 1   0.34668


Moving Document Library from one site to another - Sharepoint Online

Let me start by stating that the 2 sites are within the same Sharepoint, but not within the same Site Collection. I did not create any of the sites, nor did I perform any kind of document management ever before. This in fact my first work on this project and I am very new to Sharepoint.  The client has a document library which consists of thousands of document sets, which consist of hundreds of thousands of documents. My task is to move/copy the whole document library to a newly created site.  Site1: accessible from: name.sharepoint.com/SitePages/Home.aspx Site2: accessible from: name.sharepoint.com/sites/DocumentManagement  What I tried:   Create the whole Document Library as a template without the content. Then move the single Document Sets using the 'Send To'. Problem here is that when I select the document set, the 'Send to' option is grayed out. When I try to create the document set as a template from the library settings, the settings that I managed to access were the document library settings so creating that template as an app would actually be re-creating the document library and not the document set: which is not what I want. So the only remaining way I could think of in this option, would be to manually create the document set in the document library on site 2, and move the document items from within the document set of site 1 using the 'Send to'. Again, the problem here is that I still cannot choose more than 1 document item at a time, and this is clearly not an option for over 100,000 documents in thousands of document sets. Create the whole document library including the content. The problem here is that the content option is grayed out and cannot be selected. This option, had it been available, would have created the layout of the document library with all its subsequent columns, the document sets and the documents within. Use the Content and Structure option in Site Settings. This apparently only works if the sites are within the same site collection, which is not applicable in my case. From the Office 365 Admin Panel, further into Sharepoint Admin, I tried creating a 'Send to connection' from the 'records management' section. I went into the Site Settings - Site Administration - Content Organizer Settings of Site 2 and obtained the 'Send to url' from there. This does not work on the document library. Neither does it work on the document set. The 'Send to connection' I created (called 'invoices') does not appear as shown in the screenshot.     Finally when trying to use this method on a single document item, the Send to connection can be seen and it does work on some single items, on some others the options are just not there. I have no idea what could be the different in this scenario?! But still, it is not useful for me as when selecting more than 1 item, the 'Send to' option is grayed out and again I can't imagine doing over 100,000 item like this one at a time.   I am considering a workflow/code option, but I dont know from where to start, being so new to this area. In this case, I would appreciate if someone can set me on the right route. Some code I can start with or an article/tutorial I can follow.   Finally, excuse my long post but I thought this was the best way to describe my issue and the long hours I spent trying to get around it. I would appreciate any input regarding the whole problem or even the 1-5 points I mentioned up here ^.


It was the first time we had been to Brasil or It was the first time we had been in Brasil.


I have two arcs on a sphere that are defined as pair of points: $(\theta_0, \varphi_0)$, $(\theta_1, \varphi_1)$. I need to find a point where they intersect, or some indication if they don't. What is important is that they are arcs, not circles, so it is important to find intersection that is on the arcs specifically (not on projected circles). Arcs are meant to be shortest possible arcs. I am failing to find any specific equations on the internet. Thanks!


Additional needed documents for UK trip if someone will shoulder all expenses

Someone (a relative) from the UK (already a naturalized British Citizen) will be financing my trip, as well as taking care of my accommodation. What are the documents I need to submit aside from bank statements? Does the sponsor need to fill-out the Sponsorship Undertaking Form? ()  something to consider from my question: -my relative is a naturalized citizen in the UK. Is proof of naturalization needed?


Does separation of variables in PDEs give a general solution?

When a partial differential equation is solved using the separation of variables method, is the produced solution the most general one that satisfies the equation or have we lost some forms of the solution because of the assumption that it is in the form of separated variables?


Why the formula is not the same as Stirling numbers of the second kind

Assume I want to find the number of ways that a set with $n$ distinct elements can be partitioned into $k$ nonempty subsets, I know this is given by $ n\brace k$, But what is wrong with the following argument: $$\frac{1}{k!}\sum_{r_{1}+...+r_{k}=n}^{ }\binom{n}{r_1}\binom{n-r_1}{r_2}\cdot\cdot\cdot\binom{n-...-r_{k-1}}{r_k}\tag{$r_{i}\ge1$}$$$$\frac{1}{k!}\sum_{r_{1}+...+r_{k}=n}^{ }\frac{n!}{r_{1}!r_{2}!\cdot\cdot\cdot r_{k}!}\tag{$r_{i}\ge1$}$$ Which means choose $r_1$ of the $n$ elements to be contained in the first subset (cell of the partition) and so on till we need to choose $r_k$ elements from the $n−...−r_{k−1}$ elements to put them into the $k$th subset, on the other hand, this gives a permutation of the subsets and we need to divide by $k!$, since the cells of a partition are all identical. Why this does not give the number of such partitioning?


If I have Family Share enabled, can we play two different games at the same time?

If I'm playing Rocket League on my account and he's playing Skyrim which is on my account too, can we play at the same time?


Any rules for reporting posts that belong on forked sites?

What are the rules for reporting posts that belong on other sites (forked of Stack Overflow)?  I tried to go through the LaTeX questions and reported those that were absolutely clearly only about LaTeX (no programming, etc...). But 50% of these reports were ignored/refused (can't see the resolution).  So what are the rules for reporting?  Specifically:   old posts posts with positive rating posts with multiple answers posts with accepted answer


Is it possible to transfer ownership of a question?

If I'm asking a work-related question on StackExchange, I might find that one of my co-workers is more qualified to clarify and expand the question than I am. It might even be the case that the company wants to retain the ability to edit a question once I have left. I'm not sure if this is an appropriate use of the community wiki, as that would allow anyone to edit the question, even though it may be fairly specific to our company.  Is there a way to transfer ownership of a question so that someone else can edit it (without having to have their edits approved if they have less than 2,000 reputation), accept answers etc.?


What is the origin of the names of the walls?

Attack on Titan has lots of Germanic features such as the music and wall names. In the case of the walls:     "Rose" was the East Germany's secret codename plan to build the Berlin Wall.   Where does the other wall names Sina and Maria come from? Are there any references to the walls' names inside the story-line?


How to remove Saturday and Sunday between two dates and count total days

2019-03-01 to 2019-04-04  remove Saturday and Sunday  between two dates and count total Days


When is the vector space of continuous functions on a compact Hausdorff space finite dimensional?

I know that the vector space of all real valued continuous functions on a compact Hausdorff space can be infinite dimensional.  When will it be finite dimensional?  And how will I identify that vector space with $\mathbb{R}^n$ for some $n$?


Three table query to find the most recent item based on a distinct value

I am attempting (without success thus far) to write a query that will join 3 tables and return the most recent record based on a distinct value.  Table A    itemnum  | itemname -------- | -------- 123      | document #1   456      | document #2   Table B    itemnum  | keyvaluedate -------  | -------------  123      | 2015-09-05 00:00:00.000   456      | 2011-06-04 00:00:00.000   789      | 2011-06-04 00:00:00.000   546      | 2011-06-04 00:00:00.000   378      | 2011-06-04 00:00:00.000   Table C    itemnum  | keyvaluebig  -------- | ----------- 123      | 123456   456      | 123456   545      | 987654    387      | 987654    Table A holds all of the records. What I need to find is the most recent record (keyvaluedate from table b) for each distinct project (keyvaluebig from table c).  The itemnum data is always unique. The keyvaluedate from Table B and the keyvaluebig from Table C both non-distinct values present.  What is the best way to go about this?


What should I look for when choosing a camera for a safari?

I am going on a Safari and am ready to upgrade from a P&S to either a DSLR or a mirrorless.  I love taking pictures and travel a lot (for fun) so expect to use this camera in multiple settings.  I have a few months to learn how to use the camera before my trip.  My top DSLR choice is the Nikon D5100 and for compact system and thinking Sony NEX 5 or NEX 7.  I am also open to other models.  My top priorities are (1) picture quality (for safari and general travels) and (2) weight / size (less of a factor but definitely a concern).


Windows 7 / 8 tool for amplifying sound / equivalent to pavucontrol?

I'm watching live streamed videos, but the volume sometimes is barely loud enough.  With Windows, I can only turn the system volume and the flash volume up to maximum, and then bad luck if that's still not loud enough.  On Linux, on the same notebook, I have the same problem, but I can use pavucontrol (pulseaudio volume control) to amplify the sound volume beyond 100%.  Unfortunately, I can't always work on Linux, since Visual Studio and SQL-Server only run on Windows.  Is there any tool or way to amplify volume on Windows 7 / 8 , without having to resort to run Linux in a virtual machine?


I am about to format and manually partition my hard drive for Ubuntu for the first time. I have 16GB of RAM. I am wondering if I should even allocate a swap partition? Should I just make a root partition and a home partition?


During the upgrade from Ubuntu 18.04 to Ubuntu 20.04, errors show at last and abort the installation. The error shown is like this: Failed to fetch  http://in.archive.ubuntu.com/ubuntu/pool/main/f/fwupd/fwupd_1.3.11-1~focal1_amd64.deb  Hash Sum mismatch  Hashes of expected file:  -  SHA256:f97c41fb6dc6a1cac5107fb8dd42225a3e44757848f30cb1ac443a454a6b0621  - SHA1:0563aa9350ab03b3a4b894559d59e85654aeb5d8 [weak]  - MD5Sum:8a61778a04edec6774c60f0942905d1f [weak]  - Filesize:2090788 [weak]  Hashes of received file:  -  SHA256:fbc9c8b34f9598af251b4dd692a53e886256cedeffb150ddd591f0f7b34e2d5f  - SHA1:cc256203a4cbb58c547f3cb5b0b75a976acf4c0b [weak]  - MD5Sum:f42703a2dad210586b513ff202b5a576 [weak]  - Filesize:2090788 [weak]  Last modification reported: Thu, 02 Jul 2020 09:09:46 +0000  Restoring original system state  Aborting Reading package lists... Done     Building dependency tree           Reading state information... Done


I need to do a calculus review; I never felt fully confident with it and it keeps cropping up as I delve into statistics. Currently, I'm working through a some proof theory and basic analysis as a sort of precursor to the calc review, and I just hit a problem that requires integration. Derivatives I'm ok with, but I really don't remember how to take integrals correctly. Here's the problem:     $$\Gamma (x) = \int_0^\infty t^{x-1} \mathrm{e}^{-t}\,\mathrm{d}t$$   If $x \in \mathbb{N}$, then $ \Gamma(x)=(x-1)!$      Check that this is true for x=1,2,3,4   I did a bit of reading on integration, but it left my head spinning. If anyone wants to lend a hand, I'd appreciate it. I should probably just push this one to the side for now, but part of me wants to plow through it.  Update: Thanks for the responses. I suspect this will all make more sense once I've reviewed integration. I'll have to revisit it then.


$A=\begin{pmatrix}0&0&1\\ 0&1&0\\ 1&0&0\end{pmatrix}$, $X^2=A$ has no solutions

$A=\begin{pmatrix}0&0&1\\ 0&1&0\\ 1&0&0\end{pmatrix}$  How do I show that there are no solutions for $X^2=A$ in $M_3(R)$?  I tried $X^2=\begin{pmatrix}a_{11}&a_{12}&a_{13}\\ a_{21}&a_{22}&a_{23}\\ a_{31}&a_{32}&a_{33}\end{pmatrix}^2=A$, but I couldn't seem to find anything that shows there are no solutions. How should I approach this?


Why would a company have 2 listings on the same exchange?

An example would be Cardno Ltd which has:   CDD.AX -  CDDN.AX -    I can see that the CDDN has no updated info... does that mean its not active? But will there ever be a time when a company has 2 or more active listings on the same exchange? If yes, what would be the difference?  Please note that I do not have a full/official background for trading/financial markets.


Updater keeps saying Failed to download repository information Check your Internet connection. on 12.10

Updater keep saying:   Failed to download repository information. Check your Internet connection.   Details:  W:Failed to fetch http://ppa.launchpad.net/screenlets/ppa/ubuntu/dists/quantal/main/source/Sources  404  Not Found, W:Failed to fetch http://ppa.launchpad.net/screenlets/ppa/ubuntu/dists/quantal/main/binary-amd64/Packages  404  Not Found, W:Failed to fetch http://ppa.launchpad.net/screenlets/ppa/ubuntu/dists/quantal/main/binary-i386/Packages  404  Not Found, E:Some index files failed to download. They have been ignored, or old ones used instead.


Finding users in the database owner role

I need a script which will list out all the users with the database owner permission for a specific database.


Frequently loaded packages: Differences between pdfLaTeX and XeLaTeX

Until now, I have been compiling my LaTeX documents with pdfLaTeX. My standard document preamble includes the "usual suspects" for non-English speakers (, , ) and a bunch of other packages. Assuming I were to convert to XeLaTeX, what modifications of my preamble are advisable? I'm aware that the expansion=true option of the  package is not (yet) available for XeLaTeX, and that  is sort of a default package for OpenType fonts. What other packages (and package options) should be removed and, vice versa, incorporated when switching from pdfLaTeX to XeLaTeX?


Are gravitational waves constrained by special relativity (speed of light)?

In Lawrence Krauss's excellent book "Universe from Nothing" and his related lectures, he cites findings of the BOOMERANG-instrument observations in Anarctica as used to measure the diameter of slightly warmer regions in the cosmic microwave radiation background.  Dr. Krauss explains that we are able to measure this because these structures formed in the last scattering surface when the universe was only ~300K years old.  Dr. Krauss presents the argument that since gravity cannot travel faster than the speed of light, objects farther apart would not have had time to interact gravitationally.  Therefore, these clumps can be no more than ~300K light-years across.  How do we know that a perturbation in a gravitational field cannot travel faster than the speed of light?    I know that special relativity applies to electromagnetic energy, i.e. "light", but how do we know it applies to gravity as well.  After all, gravity is related by general relativity to the curvature of space-time itself?  Are perturbations in the curvature of space-time (gravitational waves) necessarily constrained by special relativity?


Android app stops working if rotated during post submission

I have Stack Exchange app version 1.0.83 (observed before on 1.0.62).  My mobile is Micromax Canvas Spark and Android version is 5.0 Lollipop.  There is a problem with the application. It stops working if the device is rotated from portrait to landscape when a post is being submitted.  Steps to reproduce: Write anything on the title and body, then click the preview button and rotate your mobile phone.  The app is fantastic otherwise. Is it a problem with the app or with my android?


Probability that a quadratic polynomial with random coefficients has real roots

The following is a homework question for which I am asking guidance.     Let $A$, $B$, $C$ be independent random variables uniformly distributed between $(0,1)$. What is the probability that the polynomial $Ax^2 + Bx + C$ has real roots?   That means I need $P(B^2 -4AC \geq 0$). I've tried calling $X=B^2 -4AC$ and finding $1-F_X(0)$, where $F$ is the cumulative distribution function.  I have two problems with this approach. First, I'm having trouble determining the product of two uniform random variables. We haven't been taught anything like this in class, and couldn't find anything like it on Sheldon Ross' Introduction to Probability Models.  Second, this strategy just seems wrong, because it involves so many steps and subjects we haven't seen in class. Even if I calculate the product of $A$ and $C$, I'll still have to square $B$, multiply $AC$ by four and then subtract those results. It's too much for a homework question. I'm hoping there might be an easier way.


Python High order functions, UnboundLocalError: variable referenced before assignment

I met a problem when practicing high order function.  Function "repeated" and "repeated2"  are of the same propose.  However,  "repeated2" works and returns 8, while "repeated" fails: (this confused me a lot why variable'l' cannot be tracked, but variable 'n' seems work well)  def repeated(f, l):     def h(x):         while l:             x=f(x)             l=l-1         return x     return h  def repeated2(f, n):     def h(x):         k = 0         while k < n:             x, k = f(x), k + 1         return x     return h  result2=repeated2(lambda x:x+1,5)(3) result=repeated(lambda x:x+1,5)(3)    Traceback (most recent call last):   File "error_code.py", line 18, in <module>     result=repeated(lambda x:x+1,5)(3)   File "error_code.py", line 3, in h     while l: UnboundLocalError: local variable 'l' referenced before assignment


I'm trying to render a cube with 2 additional vertical edges on a one of the faces. I use the wireframe modifier for making faces transparent and freestyle for making the dashed edges. The issue is the fact that these 2 dashed edges become non-dashed in render. Can I somehow make the edges to be dashed while the wireframe modifier is applied?


what is the order of group GL2(R), where all the entries of the group are integers mod p, where p is prime.


With no current "Minimal Understanding" reason, what should you do with questions with no minimal understanding?

Was poking around my usual haunt, the MS-Access tag, when I came upon this disaster:    I hope I didn't come off sounding too snotty in my comment, but the guy/gal didn't even tag it properly, and it's clear he's fresh from Boot Camp.  In the old days, this was a no-brainer: Close it because even a minimal understanding of the application wasn't shown.  So, what do we do now?  Do we just downvote it?


FormCollection missing submit button values

This code was working at one point.  I'm not sure what broke it, but basically on postback I'm looking for the existence of a submit button key in the FormsCollection.  Depending on the existence, I perform different operations.  The custom attribute to handle this is getting hit.  When I step through it and look at the FormsCollection, I can see all key/values from the form except for the submit button which submitted the form.  Looking at the submission via Fiddler2, it doesn't even look like the submit button is being sent to the server with the rest of the values.  If I put in a hidden field with the same name I am looking for (and hard coded value) I can successfully hit the "if exists" logic branch because the hidden field's value is sent to the server.  Here's my form:  @using (Html.BeginForm("Respond", "AccountInvitations", new {id = Model.Invitation.InvitationCode, ReturnUrl = Request.QueryString["ReturnUrl"] ?? string.Empty}, FormMethod.Post, new {@class = "invitation-details-form"})) {

                  You have been invited to join @Model.Invitation.AccountName.         Create your profile below to join this account.
      @Html.AntiForgeryToken()     @Html.ServerValidationSummary()     @Html.EditorFor(model => model.InvitationResponse, "InvitationResponseDto", "")

         <input type="submit" name="accept" value="Accept Invitation" class="btn btn-secondary" />         <input type="submit" name="decline" value="Decline Invitation" class="btn btn-link cancel" />

 }   Neither "accept" nor "decline" shows up in the FormsCollection when I press on either (the form is submitted and all fields from the editor template show, but not the submit inputs).  I do not want to handle this with javascript setting a hidden field value.


How do quantum fluctuations make up vacuum energy?

Quantum fluctuations are thought to be the reason why we have energy even if there is nothing in a region of space. My question is if quantum fluctuations give back what they got from nothing using Heisenberg's uncertainty principle $\Delta Ε \cdot \Delta t \geq \frac{h}{2}$, how do they result in a sum of energy $> 0$?  An answer that I came up with, though don't know if correct is: if you freeze time then you will catch quantum fluctuations in the in-between phase when they have not returned their energy back. And if you add all those in a region of space such as a cubic then the sum ends up being $10^{113}\text{ J/m}^3$ although the observed cosmological constant is $1.5 \cdot 10^{-9}\text{ J/m}^3$, but that's the cosmological constant problem a completely different topic.  Also when the 2 particles remerge don't they emit photons? If so photons have energy $E=hf$. But if quantum fluctuations emit photons in the end and photons have energy then how is the energy given back?  Don't be afraid to include math to your answer especially if math makes your answer more correct and complete.


I just fit a model in lme4, and I'm wondering what the heck I fit...  I have individuals id, and each is measured pass/fail on items that can be described using two factors, f1 and f2. My theory says that id and f2 can interact. So I want to compare these models:  # f2 doesn't matter m1 <- lmer(pass ~ f1 + (1|id), family="binomial")  # f2 is a fixed effect, doesn't interact with individuals m2 <- lmer(pass ~ f1 + f2 + (1|id), family="binomial")  # f2 is a nested random effect, interacting with individuals m3 <- lmer(pass ~ f1 + (1|f2/id), family="binomial")   First, am I right that there's a random effect of each level of f2, and each individual's level of f2 is partially pooled, depending on the number of observations for that individual?  Second, does it make sense to fit f2 as a fixed effect with random individuals nested within each level of f2? How does one write that?  Third, what's this, with f2 and id reversed in the formula? I typed it by accident, but now I want to understand it.  m3weird <- lmer(pass ~ f1 + (1|id/f2), family="binomial")


I have a WPF application (VB). I initialize a TextBlock item, when I click in a button,  the TexBlock content changes from an empty string ("") to a "foo" string.  I would like to get the value (you know, select it and then copy/paste) but I cant.  What kind of property I have to change in the TextBlock item in order to have this feature on ?  Thanks in advance the community !


My son is working on the BlenderGuru’s donut lesson. Everytime he tries to render the image, the donut and the coffee mug don’t show up in the render.  The icing and everything else does.  What are we doing wrong?


Short sci fi story where a space craft is made of various creatures from all over universe

I am looking for the title of a short story where a space craft is made up of various creatures from around the universe.  If I remember correctly the skin of the craft is made of creatures. the computer is just a giant brain. The engine creature suffers some form of malfunction and a nearby suitable replacement is located which happens to be a human. Although not as good as the original the human will suffice. At first he is reluctant but then discovers he loves it. I think they call propelling the craft as "pushing".   I hope somebody can help. I had this book many years ago and I don't know what I have done with it.


Why are self-answers to Q&A style questions only allowed to be accepted after 2 days?

Stack Overflow allows for a user to "answer your own question, Q&A style" (you can even tick a box that allows you to post the answer at the same time as the question), but you are not allowed to accept your own answer until 2 days have elapsed.   I guess in some cases, this is because someone else might post a better answer than the one posted by the OP,  but in that case, why not just allow people to change the accepted answer?


I am trying to get rid of this white dot, but can't seem to... does anyone know how to help?


I was solving a capacitor problem the other day and encountered a question on redistribution of charges

When two charged capacitors are connected(one positive plate with the other ones negative). I wondered since there is no electric field outside the capacitors, then why do the charges flow to balance out the potential of the two connected plates? Also if only one plate of a capacitor is connected with only one plate of the other then I guess charges could not flow even if there's a potential difference between them as the opposite plate has a constant charge and would want an equal opposite charge on it's opposite plate following gauss's law.


I know this question was answered a thousand times but I can't find a solution. So here's what I have:  128Gb SSD with Windows 10 installed 1Tb HDD with a partition of about 80Gb that I used to install Ubuntu 16 (I am still asking myself why I didn't give it more space in the first place).  I now need to give Ubuntu more space from the HDD. I tried unallocating some space from Windows (5Gb) and while in Ubuntu I tried to follow the instructions here:  but I can't unmount /dev/sda2.    How can I give Ubuntu more space then? Also what are exactly /dev/sda2, /dev/sda3, /dev/sda5 and /dev/sda6? I thought Ubuntu had only one partition. Which one should get extended?  Thank you


I moved to a new place and I have an ancient gas cooker that I can't replace just yet. As the heat source is at the bottom of the oven (rather than the top), would a baking stone help even out the heat and help stop burning?   I’ve found lots of information referring to the beauty of baking stones when using an oven with the heat source at the top but cannot find anything that helps me.


When Voldemort's spell originally rebounded and almost killed him, was a Horcrux 'used' to stop his death?

I think I misunderstand Horcruxes here - are they used up? Or do they just exist to stop the person dying but are not actually 'used up' in the process? By this logic someone could be killed infinite times and still not die?


Proving for a condition based on set theory

I came up with this question   If A is a subset of B , then A intersection B = A     If $A \subseteq B$ , then $A \cap B = A$   Can anyone please explain me how to do it?  Thank you so much!


Loading files to play .mp4 video causing dpkg error & blocked Terminal screen

O/S; Ubuntu 19.10 on AMD (Ryzen5). Objective; To play .mp4 video clips. Steps taken:  Ran: sudo apt install libdvdnav4 libdvdread4 gstreamer1.0-plugins-bad gstreamer1.0-plugins-ugly libdvd-pkg  The install seemed to have proceeded without any problems, but the Terminal screen then filled with the following, became totally unresponsive & required a New Tab to progress.   Attempted to run instruction from screenshot: sudo dpkg-reconfigure libdvd pkg  This resulted in an error message saying: debconf: DbDriver "config": /var/cache/debconf/config.dat is locked by another process: Resource temporarily unavailable   Attempted to run sudo apt install ubuntu-restricted-extras  resulting in error message: E: Could not get lock /var/lib/dpkg/lock-frontend. It is held by process 5777 (dpkg) - open (11: Resource temporarily unavailable) N: Be aware that removing the lock file is not a solution and may break your system. E: Unable to acquire the dpkg frontend lock (/var/lib/dpkg/lock-frontend), is another process using it?   Attempting to uninstall/purge resulted in another error message saying 'dpkg was interrupted, you must manually etc, etc' and to run: sudo dpkg --configure -a    Running this resulted in the same unresponsive Terminal screen as above . Any advice on how to proceed from here would be most appreciated.


Properly test interfaces in c# private methods

I am new to c#.  I do have some experience testing javascript.  I was looking at assessing this test similar to checking for a method to be called in with a spy via sinon.  However,  I am not truely sure what to test.  As I noted I am pretty new to c# and am doing testing to get a feel for how the code works.  Here is the private method that I need to test for    private TicketResponse.PaymentType GetPaymentType(TicketResponse.FormOfPaymentCreditCard paymentType, VCR_DisplayRSTicketingInfosTicketingInfoTicketingTicketDataTourInfo tourInfo)     {   I read that I test the interfaces. So I am testing something along these lines?   public enum PaymentType {     CASH, CREDIT_CARD, NITP, TRAVEL_CREDIT, GIFT_CARD, JETBLUE_REWARDS, NONE, CHECK, EXCHANGE }   Any insight would be super helpful thanks.


Find a subset of $S = \{(1, 0, i), (i, 2, -3), (2-i, 1+i, i)\}$ that forms a basis for $\textsf V = \operatorname{span}(S)$

Consider the complex vector space $\mathbb{C}^3$ and the subset $$S = \{(1, 0, i), (i, 2, -3), (2-i, 1+i, i)\}$$  Let $\textsf V$ denote $\operatorname{span}(S)$. Find a subset of $S$ that forms a basis for $\textsf V$.  How do I find the subset for something? I can put the vectors into matrix form and make them equal to $x, y, z$ respectfully but from there, I don't know how to proceed.  Am I missing a definition and and a series of steps? I know that a basis in simple terms is :     The minimal amount of vectors that are linearly independent and spans    $\textsf V$.


Is there any scientific evidence in favor of co-sleeping with children?

Many people choose to co-sleep with their children because of supposed psychological and sleep quality reasons. Are there any scientific studies or other concrete evidence to back them up?


How does one track a shot where a car moves towards the camera but the background is blurred?

Some shots I see online I don't understand how the tracking is done.      The car is coming at the camera while the motion blur is also towards the camera, so if you move your camera in the direction of the motion you will also blur the car. I guess these photos are a complete photoshop job?


How to place a "floating text box" at a specified location in page coordinates

I have read , but I don't think it addresses the same problem.  I am looking for a way to have a command in LaTeX with an interface as follows:  \placetextbox{x_in_page_percentage, y_in_page_percentage}{This is my text}   The command would place the text This is my text centered within a box that may overlap with anything else on the page, and that would be placed at the coordinates specified by the variables x_in_page_percentage and y_in_page_percentage. These variables control the location of the x in the diagram below. E.g.  -------------x---------------       This is my text -----------------------------   This way, something like \placetextbox{0.5, 0.5}{This is my text} would place the text roughly on the center of the page, regardless of anything else that may be on that location.  Any thoughts how to do this?


Why is my memory running at 665Mhz when the BIOS is clearly set to be higher?

I was trying to look for new compatible memory for my computer.  When I noticed my current RAM seems to be running at 665Mhz  My motherboard is a  and I currently have 8GB of RAM, looking to go to 16GB or 24GB.  According to this picture my current RAM 2x4GB (CMZ8GX3M2A1600C9) are running at 665MHz:    And CPU-Z agrees with the 667Mhz speed    The  says the specs are 1600MHz. It is even in the name. In my BIOS I have changed the overclock setting from auto to 1333MHz and even 1600MHz. No change in the screen.  So is the application wrong or is my memory really running at ~667MHz  And if they are running at 667MHz should I not get these to mix speeds


Texture messes up after extruding a modified plane

I want to make some 3d models of pixel art. I started by adding a plane, adding a texture to it, added loop cuts to my plane, 15 loop cuts because it's a 16x16 texture, then I selected the blank faces and deleted them. As I extrude this plane, A > E > $0.1$, the texture messes up on the edge of the item, as shown below  Although not all faces mess up on the edge, a lot still do. I tried recalculating normals, unwrapping the object again, but I ended with the same problem, no change at all. Though I may have done it wrong, since I never did it before. I tried smart UV project and cube projection, but they just mess it up even more. Does anyone have a solution to this?


What is right?  1) "well know"  or "well-know"  2) "non central"  or "non-central"  There some general rule?


WiFi can't connect despite type in correct password

I installed the 32 bit Ubuntu 15.10 on my laptop.It detected a list of wireless networks, then I tried to connect, I type in my WiFi password, it tries to connect for a while, about 6 second later, it pops up a prompt asking for password again, I verified that my WiFi password entered is correct, keep asking for a password.   I even rebooted my router.   Please help, thank you.   Here's output for lspci -knn |grep Net -A2:  02:00.0 Ethernet controller [0200]: Broadcom Corporation NetLink BCM5906M Fast Ethernet PCI Express [14e4:1713] (rev 02)     Subsystem: Lenovo IdeaPad S10e [17aa:3a23]     Kernel driver in use: tg3 05:00.0 Network controller [0280]: Broadcom Corporation BCM4312 802.11b/g LP-PHY [14e4:4315] (rev 01)     Subsystem: Broadcom Corporation Device [14e4:04b5]     Kernel driver in use: wl


def group(l,size):     length = len(l)     new = []     for i in range(0,length):         for j in range(i,size):             new[i].append(l[j])     print new   The above function group(list, size) that take a list and splits into smaller lists of given size.  I need something like this     input: group([1, 2, 3, 4, 5, 6, 7, 8, 9], 3)   output: [[1, 2, 3], [4, 5, 6], [7, 8, 9]]   But the problem with the above code is showing index out of range.what's wrong in code?  how to append elements into list of lists?


Where should I practice parrying/riposting, with what, and and optimal way (controls) to do it?

I am wanting to learn how to parry people/npcs/enemies. Is there a good location to practice? What are some good starting weapons or shields I should use for both Dark Souls 2 and Scholar of the First Sin? What are some good ways to parry, with controls?


Example when two strings compared by == and equals() will give different results?

When is a == b is true but a.equals(b) is false, or vice versa?  I know that equals() is used to compare the values of the Strings and the == to check if two variables point at the same instance of a String object. But in which case will these two be different ?


What is the difference between su username and sudo su - username?

I see both does the same thing and both end me up in the same directory.So is it really the same or there is a difference?  Also doing su and su - makes me root user in both the cases.So how is it even benficial?


I'm 16 and interested in getting into audio electronics so I can make things like mixers and speakers, etc. I currently only have a rudimentary understanding of electrical circuits which extends only to that contained in the book Make: Electronics.  I'm seeking out advice and recommendations of any books or online courses for either electronics in general or audio electronics specifically.


How to remove third-party menu bar elements

I would like to remove third-party menu bar elements, e.g. a menu left by an application which I have removed from the Applications folder.  I know that I can rearrange the elements if I command-click and drag them. And if they are made by Apple, control-dragging them away from the menu bar removes them. But with third-party elements the control-drag only allows for the rearrangement, but not for the removal.  I am looking for a method valid for any third-party elements, but to be specific, an example is Coppertino VOX music player, which has a menu item to manage the cloud library.  - List item


(Revised) Let $\phi : \Bbb Z \rightarrow \Bbb Z$ be given by $\phi(n) = 7n$. Find the image of $\phi$.

Quoting " Let $\phi : Z \rightarrow Z$ be given by $\phi(n) = 7n$. [...] Find the image of $\phi$."   My understanding (revised):  I claim that the only possible image-elements of $\phi$ are the multiples of 7 in z denoted 7Z.   To prove this I have to show that Im$(\phi) \subset 7 \Bbb Z$ and that $ 7 \Bbb Z \subset $ Im$(\phi)$.  Proving Im$(\phi) \subset 7 \Bbb Z$ :      $\forall y \in $ Im$(\phi)$ such that $  y =\phi(x)$ where $x \in 7 \Bbb Z$. It follows that $y \in 7 \Bbb Z$. Therefore, Im$(\phi) \subset 7 \Bbb Z$   Proving $ 7 \Bbb Z \subset $ Im$(\phi)$:   $\forall y \in  7\Bbb Z$ such that $  y =7x$ where $x \in \phi(x)$. It follows that $y \in \phi(x)$. Therefore, $ 7 \Bbb Z \subset $ Im$(\phi)$.   Any input to my understanding is much appreciated.


What is the difference between applying force and spending energy?

I have a follow-up to  on how objects can be held up, against gravity, without work being performed.   is what I get tripped up on:     Unlike your arm, the table does not need to spend energy to hold up the book.... All the table needs to do is apply Force, but applying force does not necessarily mean spending energy.   Should I then expect holding up a bowling ball to make my arm no more tired than holding up a book?  Or asked a different way: If I place a very heavy stone on a wooden table, and return after a month, to find that the table has deformed, does that prove that the table has "spent energy" holding up the stone, and that this energy loss is somehow reflected in a compromise of material integrity?


How can I handle, or prevent, provocative actions by my players?

I have been DM'ing for a few years, and due to my upbringing I prefer to run games that don't really allow for what I consider to be evil acts in game. For me, that means using basic common sense and not doing things a law abiding citizen wouldn't do in real life, so no murder, torture, etc.  While I haven't had to enforce this rule very often, there have been times when I've gotten into arguments over what actually constitutes 'evil', and the argument is generally that D&D is a game, and that I am trying to enforce my own value system on the game/players.  Here is the scenario that caused the problem. I created a town in a kingdowm that had increasingly oppressive and binding laws, until the populace got fed up and deposed the ruler. One of the laws that wasn't repealed, however, was the law against selling alcohol. My intention was for the party to solve this problem through using charisma checks in discussion with townspeople to vote to drop the law, thus enabling them to open a tavern as a business for passive money in the game.  The players essentially ignored this and turned into murder hobos, and ended up burning down a different village to get their alcohol. I asked them several times if they were sure, and then started a different encounter planned for later in the game early. I was trying to get them to correct their actions to reflect the house rule on evil, but that backfired and they ended up quitting on the game completely, and I have not heard anything from the group since then.  This was very disheartening for me, and I'm not really sure if I had done something wrong in how I approach the game. What can I do to help resolve, or preferably prevent, situations like this in the future?


Giving an example of a "problem" where the example is plural

I've got this sentence here:     The most recent problem I can think of is personal knowledge management systems.   That seems grammatically incorrect because of the mismatch between the singular problem and the plural systems, but I can't just change it to      The most recent problem I can think of are personal knowledge management systems.   or     The most recent problems I can think of are personal knowledge management systems.   The only one that seems correct is     The most recent problem I can think of is the problem of personal knowledge management systems.   I think this equates the singular problem to the also singular problem of personal knowledge management systems. But it's extremely awkward. Any suggestions on how to handle situations similar to this?


According to the some resources I have read, the process with low nice value has more priority. Because it has more priority, CPU allocates more time for that process.  However, it sounds a little bit weird because priority value of a process is calculated by summing nice value with 20.   PR = NI + 20. This can be seen easily with the command top  According to this formula, the processes with higher nice values have higher priorities, but some resources says that the process with low nice value has more priority.  Which one is true ?


finding flights with flexible origination points

I will be wandering in Europe and flying back to Chicago on a one way ticket.  I will adjust my trip to end up in the city I fly home from.  I don't care if it's Paris or Berlin or Barcelona or any other city.  Looking for a good deal.   Any hints on how to search for this kind of information without checking every city individually?  Kinda like a googleflights display but for originations instead of destination.


How can I install a package without root access?

I have no root access on this machine.  I would like to know if there is a way I can download Ubuntu packages and install them as non-root?  Probably in my ~/bin or ~/usr/share or something like that? Would that work?


Where does the use of "why" as an interjection come from?

Examples:        Why, I'd love to.   Why, of course!      I get the concept of starting a sentence with a word not completely related to the overall response, but this one seems to be a particularly odd choice — is there any semantic meaning I'm missing?


Where do I ask a question about the use of Messenger on an Android phone?

I need to know the proper place to ask the following question:  In Messenger mobile for Android some emojis, when posted as the only character in a message, explode into a burst of floating emojis that flood the sender's and receiver's message area.  The 'Kissy face' emoji and the red 'Heart' emoji do this.  What is that behavior called and are there other emojis that have similar behavior when posted?


Probabilistic Proof of $\prod\limits_{i=1}^\infty\cos\left(\frac t{2^i}\right)=\frac{\sin t}t$

Using probability methods (characteristic function?) prove  $$\prod_{i=1}^\infty\cos\left(\frac t{2^i}\right)=\frac{\sin t}t$$ I know what is characteristic function but I have no idea how use it in this task. I will grateful for help.


Is it contaminating the spice to touch it after touching raw meat?

When I cook raw meat, especially chicken strips, I have it spread out on the chopping board with a few bags and containers of spice to the side. I don't actually use too many shakers for spice. Since my fingers can only hold so much spice at once, I often go back to the bag and grab some more and rub it on the meat. But this is after my fingers have touched the meat. Does this contaminate the spice in the bag or container?  Also, chefs on TV shows frequently make it that way, does this mean it is a safe practice?


Grub chainloader doesn't work with Windows 8

What should I enter below to run Windows 8 from the Grub menu? I'm a total newbie, and it doesn't work from the beginning somehow.  Ubuntu works perfectly fine, but Windows gives me some error message like incorrect something (Secure Boot forbids loading module and unknown command 'drivemap'). I know I need to change something here to make it work, but I don't know what.  menuentry "Windows 8" { set root = "(hd0,4)"    chainloader +1    }   I got a purple screen with this error message:  error: Secure Boot forbids loading module from (hd3, gpt0)/boot/grub/normal.mod. error: no such device: 861287C9128786A9. error: unknown command ‘drivemap’. error: no such partition.  Press any key to continue..._   Update: I disabled Secure Boot, and again I got a purple screen with the following error message:  error: unknown command ‘drivemap’. error: invalid EFI file path.  Press any key to continue..._


Power Transformations of a Single Variable for Multivariate Data Sets

Let's say I have a dataset with 5 variables and 100 observations. After checking for normality, all but one is normal, let's say the 2nd variable. After using a Box-Cox method I find a suitable lambda that will transform the 2nd variable's data to make it normal.  Would transforming only the data of the second variable mess with any multivariate inferences about the data? Should I transform all the variables' data by the same lambda to equalize it? Should I try to "more" normalize the rest of the variable's data with their own lambda so that all the variables have been transformed? Or should I not even try to normalize the 2nd variable and leave it as is?


How I can fix at the bottom this footer in my website? Link of page: http://grillosolutions.ch/news/

CSS code of my body and my footer in this moment: I just can't to fix my footer at the bottom of my page. I read a lot of solutions present of www but any works for me. Thanks for help me! body {   background: #ffffff;   color: #737f85;   font-family: "Tahoma", Tahoma, Arial, sans-serif;   font-size: 100%;   line-height: 25px;   font-weight: 400;   padding: 0; }   .footer-sidebar {   background-color: #ccff66;   margin: 0;   padding: 55px 0 0px;   width: 100%;   height: 100%;   text-align: justify; }


The $2 \times 2$ matrix ${A}$ satisfies $A^2 - 4 {A} - 7{I} = {0},$ where ${I}$ is the $2 \times 2$ identity matrix. Prove that ${A}$ is invertible.  What is the best way to do this?


Correct SQL expression for SelectbyAttribute Tool

I'm trying to apply the sql expression described here , that involves querying out odd values in a field. The specific sql expression is Round(NumberField / 2, 0) <> NumberField / 2.  I've written this in python:  import arcpy  plantFile = r"U:\Users\K\Plants.shp" field = "UID"  expression = Round("UID" / 2, 0) <> "UID" / 2 arcpy.SelectLayerByAttribute_management(plantFile, "NEW_SELECTION", expression)   and it returns this error: NameError: name 'Round' is not defined  The expression works when applied in ArcGIS, but not in arcpy. Any hints?


How can I add a glow to a tv screen without ruining the video playing on it?

I am producing an animation where there is a tv set playing an episode from the Twilight Zone series.  As you can see on the picture, the image on the screen is crisp and clear, but as I will dim the light in the room, I need to have a glow coming from the screen.  I have tried to use an emission shader for the screen, a point light in front of it, a cube as projector, but all these solutions are ruining the image, rendering it grey or even totally white.  What do you suggest I could do to have the screen glowing and keep video that is playing looking good?


Why is 70% ethanol preferred for aseptic techniques?

Are other concentrations (say 80%) less effective,or is this just for convenient manufacturing? Is the concentration chosen only because it is less volatile than 100 percent ethanol and hence safer?