I asked a friend of mine "Does he use workout machines that tone your ass?"   I know it's more clear if I had said "Does he use workout machines that tone his ass?", but is the first question still correct and convey the same meaning as the latter?
Example sentence:     I love when your dog just lets you sit there to pet them. You don’t necessarily know if they are enjoying it, but they love you enough to just sit there with you for a bit.   Is this correct? We assume the words "you" and "your" refer to the speaker of the sentence, and not to the listener, as second-person usually does. But it also refers to dog owners in general. I have always been curious about this.
Angle notation for complex numbers in polar form I am looking for suggestions on how to typeset complex numbers in the modulo-argument form, sometimes called phasor notation. Have already checked  but nobody mentions this in particular. I am explicitly excluding exponential and sine-cosine notations. My MWE is as follows  \documentclass{article} \begin{document}     $z = r \angle \phi$ \end{document}   I think it looks ugly, specially if the angle has many digits, ie  $z = 1.19 \angle -78.2039^{\circ}$   I was thinking of an \angle replacement which maybe would extend the lower segment up to the last digit. What do you think?  EDIT: It looks like the steinmetz package doesn't do a good job with the vertical space if the \phasor{} argument has a \fraction{}{} with parenthesis, see:  \documentclass{article} \usepackage{steinmetz}  \begin{document}     Something.     \[I = I \phase{\left(\frac{A_0}{B_0}\right)}\]     This line is too close to the upper equation, don't you think?      \[I = I \phase{\left(\frac{A_0}{B_0}\right)}\]     Whereas this line is NOT so close to the upper equation. \end{document}   Strangely, commenting the first line (% Something.) fixes the problem. Is there any way to fix this? Is it possible to call the base method from a prototype method in JavaScript if it's been overridden?  MyClass = function(name){     this.name = name;     this.do = function() {         //do somthing      } };  MyClass.prototype.do = function() {       if (this.name === 'something') {         //do something new     } else {         //CALL BASE METHOD     } }; Previously, someone posted his/her proof of "every neighborhood is open" . I am focusing on the same statement, but it seems that my approach is different from his/hers. Could someone comment on my own proof? Here we go:  Let $X$ be a metric space and $p\in X$. Fix $r&gt;0$. Define a neighborhood around $p$ as $N_r (p)=\{q\in X| d(p, q)&lt;r\}$. Now, take $w = \frac{r}{2}$. Then, $N_w (p)\subset N_r(p)$. In other words, every point of $N_r(p)$ is interior. Therefore, $N_r (p)$ is open. Since $r$ is arbitrary, this proves every neighborhood is open.  Update:  Under my definition of "neighborhood," can I prove in this way instead: For all $m\in N_r(p)$, take $w=\frac{r−d(m,p)}{2}$. Then, $N_w(m)\subset N_r(p)$.   Update2  From the hints given in comments, I solve it:  Assume $m\in N_r(p)$ and $q\in N_w(m)$. Take $w=r-d(m, p)$. Then, $d(p, q)\leq d(p, m) + d(m, q)&lt; d(p, m) + r-d(m,p) =r$.   Thanks to @JoséCarlosSantos and @fleablood ! Which indefinite article should precede hour — a or an?        an hour     a hour      Does the usage of an vs a depend on the pronunciation — a history, a hobby, but an hour, an honor? How do you deserialize json properties that are reserved words in apex? Deriving a QM expectation value for a square of momentum $\langle p^2 \rangle$ I already derived a QM expectation value for ordinary momentum which is: $$ \langle p \rangle=  \int\limits_{-\infty}^{\infty} \overline{\Psi}  \left(- i\hbar\frac{d}{dx}\right) \Psi \, d x $$ And I can read clearly that operator for momentum equals $\widehat{p}=- i\hbar\frac{d}{dx}$. Is there an easy way to derive an expectation value for $\langle p^2 \rangle$ and its QM operator $\widehat{p^2}$? Evaluate $$\int \frac{2-3x}{2+3x}\sqrt\frac{1+x}{1-x}d x$$ What substitution should I use ? $\sqrt\frac{1+x}{1-x}$ suggests $x=cos2\theta $ but its not useful in $\frac{2-3x}{2+3x}$ How to make random dots in different sizes and spaces between the dots in Illustrator? I am trying to make something similar to this?  Obviously it's possible to make it manually piece by piece, but I am looking for some kind of automated feature in Illustrator to achieve this?  Is this possible?  Thanks man in advance! Permission Denied To Delete File First of all, I'm not looking for an answer on how to remove the files. I am looking for a reason why this doesn't work - and a suggestion on how to remove the files without sudo.  I have a directory in my Desktop that has a few inner directories (don't judge the naming - I just extract what I need from files I'm given) and after getting the files I try and remove the files with rm -rf Bengal\ Tiger\ Creative/, I am surprised to see the following warning for each image.     rm: cannot remove ‘Bengal Tiger Creative/Bengal Tiger Creative/images/customer-services-landscape.jpg’: Permission denied   Below is some code outputs.  tree  nathan@nathan-pc:~/Desktop$ tree . ├── Bengal Tiger Creative │   └── Bengal Tiger Creative │       └── images │           ├── awards.jpg │           ├── blank.gif │           ├── bullet1-light-green.gif │           ├── bullet2-light-green.gif │           ├── bullet3-light-green.gif │           ├── bullet4-light-green.gif │           ├── customer-services-landscape.jpg │           ├── desktop.ini │           ├── header-img1.jpg │           ├── header-img2.jpg │           ├── header-img4.jpg │           ├── header-img5.jpg │           ├── softhr.gif │           ├── Thumbs.db │           ├── tiger_main-img1.jpg │           ├── tiger_main-img2.jpg │           ├── tiger_main-img3.jpg │           ├── tiger_main-img4.jpg │           ├── Vanquis-benefits-icons_iphone-green.gif │           └── white-arrow-green.gif   ls -laR  nathan@nathan-pc:~/Desktop$ ls -laR Bengal* Bengal Tiger Creative: total 12 drwxrwxr-x 3 nathan nathan 4096 Aug 10 11:30 . drwxr-xr-x 6 nathan nathan 4096 Aug 10 11:34 .. drwxrwxr-x 3 nathan nathan 4096 Aug 10 11:34 Bengal Tiger Creative  Bengal Tiger Creative/Bengal Tiger Creative: total 12 drwxrwxr-x 3 nathan nathan 4096 Aug 10 11:34 . drwxrwxr-x 3 nathan nathan 4096 Aug 10 11:30 .. dr-xr-xr-x 2 nathan nathan 4096 Aug 10 11:36 images  Bengal Tiger Creative/Bengal Tiger Creative/images: total 356 dr-xr-xr-x 2 nathan nathan   4096 Aug 10 11:36 . drwxrwxr-x 3 nathan nathan   4096 Aug 10 11:34 .. -rwxrwxrwx 1 nathan nathan  14910 Mar 18 12:29 awards.jpg -rw-rw-r-- 1 nathan nathan   1093 Mar 21  2014 blank.gif -rw-rw-r-- 1 nathan nathan   1978 May  8  2014 bullet1-light-green.gif -rw-rw-r-- 1 nathan nathan   1969 May  8  2014 bullet2-light-green.gif -rw-rw-r-- 1 nathan nathan   2416 May  8  2014 bullet3-light-green.gif -rw-rw-r-- 1 nathan nathan   2449 May  8  2014 bullet4-light-green.gif -rw-rw-r-- 1 nathan nathan 113138 Apr 14  2014 customer-services-landscape.jpg -r--r--r-- 1 nathan nathan    142 Mar 25 11:58 desktop.ini -rw-rw-r-- 1 nathan nathan  14312 Mar 23 11:39 header-img1.jpg -rw-rw-r-- 1 nathan nathan   1480 Mar 23 11:41 header-img2.jpg -rw-rw-r-- 1 nathan nathan   1278 Mar 23 11:41 header-img4.jpg -rw-rw-r-- 1 nathan nathan   1168 Mar 23 11:41 header-img5.jpg -rw-rw-r-- 1 nathan nathan   1703 Mar 21  2014 softhr.gif -rw-rw-r-- 1 nathan nathan  88064 Aug  4 10:39 Thumbs.db -rw-rw-r-- 1 nathan nathan  23607 Mar 23 11:56 tiger_main-img1.jpg -rw-rw-r-- 1 nathan nathan  23400 Mar 23 11:56 tiger_main-img2.jpg -rw-rw-r-- 1 nathan nathan   6970 Mar 23 11:56 tiger_main-img3.jpg -rw-rw-r-- 1 nathan nathan   8996 Mar 23 11:57 tiger_main-img4.jpg -rw-rw-r-- 1 nathan nathan    275 Jul 31  2014 Vanquis-benefits-icons_iphone-green.gif -rw-rw-r-- 1 nathan nathan   1821 Jul  9  2014 white-arrow-green.gif   Doing chmod 777 and then delete does not work.  Doing rm -rf * inside the directory does not work.  Doing sudo rm file does work.   I can easily remove these files using sudo, however, I cannot see why they cannot be removed without sudo. As a relatively new Ubuntu user, I would like to learn why.  Thanks in advance, Nathan What GUI applications are there to assist in generating graphics for TeX? I found  to be a useful tool to help generate code for graphs. I suppose there must be other tools to help draw diagrams such as Sets/Venn Diagrams or Electrical Circuits (Logic Gates). Which ones would you suggest? A colleague and I recently submitted a paper to a journal with an impressive-sounding name, the "International Journal of Artificial Intelligence and Computational Research". According to ,      IJAICR is a referred [sic] journal in the field of computer science, artificial intelligence and soft computing methods.   It was accepted two days after we submitted it. That's too fast. We were suspicious. Although the journal said that all papers are peer-reviewed, we could not see how that was done in two days. Plus, we received no comments from the reviewers. Also, the submission guidelines didn't ask for a "blind" copy (without our names or any references to who we were).   But wait, there's more.  The acceptance letter asked us to send them US$300 to publish it. We did not. We've withdrawn our submission and will submit a new version of the paper to a more reputable journal in the coming months.  How might we make a better choice of respectable journals before we submit next time? How to use AP Style commas after dates I was wondering how you are supposed to use commas after full dates in AP style. I've been told to always put a comma after the year, like in the sentence:  On April 4th, 2012, I found a cat.  However, I thought the following might be an exception:  April 4th, 2012 brought the death of my cat.  Notice how there's no comma after &quot;2012.&quot;  My teacher disagreed and told me that the AP style dictates that we always put commas after dates like that. The way I reasoned through it is by replacing the dates with the word &quot;Monday&quot;  On Monday, I found a cat. Monday brought the death of my cat.  And you wouldn't write  Monday, brought the death of my cat.  TL;DR Which one is correct?  April 4th, 2012 brought the death of my cat.  or  April 4th, 2012, brought the death of my cat. Why the principal value of complex number argument is taken within $(-\pi,\pi]?$ Why the principal value of complex number argument is taken within $(-\pi,\pi]?$ What is the harm in considering similar other intervals like $[0,2\pi)$ for the purpose? Messed up my PATH environment variable and can't login to desktop To get an maven environment variable to run, I tried several options. Basically, I followed some options from , such as ~/.pam_environment, /etc/bash.bashrc and I don't really know anymore. Within them I exported sth like export PATH=/opt/apache-maven-3.6.0/bin:$PATH (I'm being so unconcrete because I cannot look it up).   Afterwards, I did run gnome-session-quit and my machine got stuck.   So after hard restart I try to login again, but I'm not able to do that: I see my username, enter the password, hit enter, screen turns black and after 2 seconds I'm back at the login screen.   So, that very strange and worrying. Next step: Login via tty (Strg + ALT + F3). Within there I can login, but can not do much. I thought about sth like . But whatever I do: The command could not be located because '\bin' is not included in the PATH environment variable. I think, altogether thats alarming and I'm getting really nervous.  Executing export PATH="/usr/bin:$PATH seems to work and echo $PATHgives an output starting with /usr/bin:/usr/bin:/usr/bin:/home/user/Documents/.../esper/examples/transaction/etc:/home/user/anaconda3/bin:/usr/lib/jvm/java-1.8.0-openjdk-amd64/bin:/opt/apache-maven-3.6.0/bin:/opt/apache-maven-3.6.0/bin:/opt/apache-maven-3.6.0/bin but does not really help.  I'm running an Ubuntu 18.04 on an Lenovo G50-70.   Can you help me accessing my desktop again and/or fixing my PATH issue? Unable to disable Hyper-V in Windows 10 Hi I installed Docker for Windows which enabled Hyper-V on my windows 10 machine. Unfortunately this caused Virtual Box to not work anymore, therefore I removed Docker again, but Hyper-V is still activated.  If I try to disable Hyper-V with any of those ways:  on the reboot it will first try to apply the changes and than say that the changes couldn't be applied and reverts, so Hyper-V is activated again.  Has anybody an idea what could be the issue here? continuous function: preimage of closure of a set is closure of preimage What happens to matter in a standard model with zero Higgs VEV? Center of a free product I was watching this  on making a custom UI tab using Python, and in the line from bpy.types import Menu, Panel, UIList, I see the names of objects that look like they can all be used to make different UI elements. Does bpy.types contain all the objects that people use when they want to make custom UI elements? How to measure capacitance without LC meter? I would like to use capacitors salvaged from old electronics, but I currently don't have an LC meter.    What would be some really simple circuits, that would convert capacitance to something I can measure (voltage, current, frequency)?