I am installing an overhead automatic garage door opener.  My only power source close to where I will be hanging the motor is an overhead light socket that is operated by a switch on the wall next to the house entry door.  I wanted to know if it is possible to rewire the light socket with a standard electrical plug outlet AND to remove the switch &amp; wire it to provide constant power to the new outlet.  The overhead light is on my 15A garage GFI circuit &amp; the opener lists 120V/6A as its power requirements.  Thank you
I am installing an overhead automatic garage door opener. My only power source close to where I will be hanging the motor is an overhead light socket that is operated by a switch on the wall next to the house entry door.   I wanted to know if it is possible to rewire the light socket with a standard electrical plug outlet AND to remove the switch &amp; wire it to provide constant power to the new outlet. The overhead light is on my 15A garage GFI circuit &amp; the opener lists 120V/6A as its power requirements.  I live in the US.
How to sample a function non-uniformly? See this example code:  \documentclass{article}  \usepackage{pgfplots} \pgfplotsset{compat=1.10} \begin{document}   \begin{tikzpicture}     \begin{axis}[                  xmin=-0.1,                  xmax=1.1,                  ymin=-1.1,                  ymax=1.1,                  domain=0:1,                  samples=30                 ]       \addplot[blue] {sqrt(x)};       \addplot[purple] {-sqrt(x)};     \end{axis}   \end{tikzpicture} \end{document}   The result appears acceptable far from zero, but near zero it's too much undersampled:    Increasing samples value makes the plot nice, but it considerably slows down processing. As a workaround I could just plot the inverse in a parametric plot (i.e. (y^2,y)), but in my actual code it'd require quite a bit of additional work.  Is there a way to provide a custom sampling function or specify different density of samples in different parts of the domain? Show that $F\subset Y$ is closed in $Y$ iff $F=Y\;\cap\;H$ where $H\subset X$ is closed in $X$. I have the following problem:      Let $(X,\tau)$ be a topological space and $(Y,\tau_y)$ be its    subspace, that is $Y\subset X$ and $\tau_y=\{\;A\;\cap\;Y\mid  A\in\tau\;\}$. Let also $F\subset Y$ and $H\subset X$, where $H$ is    closed in $X$. Show that $F=Y\;\cap\;H$ if and only if $F$ is closed   in $Y$.   I solved this problem by assuming that if $F$ is closed then $F=Y\;\cap\;H$, where $H$ is closed in $X$, but I got stuck proving this in the other direction, that is showing that if $F=Y\;\cap\;H$ then $F$ is closed in $Y$.  I tried to do something like this:   Assumption: $F=Y\;\cap\;H$, where $H$ is closed in $X$. If $H$ is closed in $X$ then $X\;\setminus\;H$ is open in $X$ and then $X\;\setminus\;H \in \tau$ which means that $B = (X\;\setminus\;H)\;\cap\;Y\in \tau_y$.  How should I proceed now? Should I investigate the set $B$ now more or what? Setting Access-Control-Allow-Origin in ASP.Net MVC - simplest possible method Imaginary line on the Earth is straight or not? I was watching Google map. Saw a line which is joinging north to south pole. It is going between middle of China and Mexico. But, the line is not straight. Tried to search in net but not able to get anything. Can anyone check and let me know  or Showing that $\Bbb R[x] / \langle x^2 + 1 \rangle$ is isomorphic to $\Bbb C$ question Is “of ” necessary in “all of ”? Listen to all your fans   Name all the states   vs      Listen to all of  your fans   Name all of  the states   What part of language is of  in these examples? Is it necessary or optional, correct or incorrect? Why gravity is an attractive force? Why gravity is an attractive force?     One may say that it is because of space time curvature but General Relativity is built on this law: $\displaystyle G \frac{m_1 \times m_2}{r^2}$ (To be more precise, it is  from it's potentiel form known as  that can be written like this: $\nabla \cdot g = - 4\pi Gp  $). So GR can't explain why gravity is attractive. General Relativity only explains how gravity occurs in terms of space time.    Another may stick with the Quantum theory stating that gravitons are responsible for the force of gravity, but why a massless particle with spin 2 will exchange positive momentum? 8.4 - Use entity browser in a module block from in same way as I would in a custom block I am having trouble adding an image picker to a block form defined in a custom module.  If I create a custom block type I can define an image field as entity_reference and in the block's form view tell it to use entity_browser and media_entity_browser.  This provides me with an picker with which I can select my image:    I am trying to recreate this in a block provided by my custom module, without much success  // /src/Plugin/Block/MyCustomBlock.php  function blockForm($form, FormStateInterface $form_state)  {     ...      $form['image'] = [       '#type' =&gt; 'entity_browser',       '#entity_browser' =&gt; 'media_entity_browser',       '#title' =&gt; $this-&gt;t('Image'),       '#default_value' =&gt; $this-&gt;configuration['image'] ?? null,       '#weight' =&gt; '0',     ];      ... }   This gives me the following.  Note the lack of the bounding box, title and option to edit remove items:     Exporting the configuration files for the working form view gets me this:  // core.entity_form_display.block_content.lead_block.default.yml      ...  field_image:     weight: 1     settings:       entity_browser: media_entity_browser       field_widget_display: rendered_entity       field_widget_edit: true       field_widget_remove: true       selection_mode: selection_append       field_widget_display_settings:         view_mode: default       open: false     third_party_settings: {  }     type: entity_browser_entity_reference     region: content   ...   But if I try and use 'type' =&gt; 'entity_browser_entity_reference' in my blockForm function the field disappears altogether.  Looking into various core files I can see that entity_browser is a @FormElement and entity_browser_entity_reference is a @FieldWidget but I don't really understand the difference.  As you might guess I am fairly new to Drupal and I feel like I am missing something fundamental.  I (think I) understand that custom block types are actually nodes internally and that they are subject to different rules to blocks which I define in my custom modules, but I don't fully grasp what the differences here are.  Is is it possible to use the entity browser in my custom module block form in the same way as it is used in the form which I build through the admin's custom block type builder?  Thank you. I'm trying to display opportunities associated with an OpportunityLineItem on a Visualforce page on the OpportunityLineItem object   I have a problem in the select I do not know how to retrieve the OpportunityLineItem name in this request I have hard code the OpportunityLineItem name  public List&lt;OpportunityLineItem&gt; getOpp() {     return [SELECT TotalPrice, Opportunity.Name, Opportunity.StageName,                     Opportunity.Account.Name, Opportunity.id, Product2.Name              FROM OpportunityLineItem               WHERE Product2.Name='GenWatt Diesel 10kW'     ]; } Proof of triangle inequality I understand intuitively that this is true, but I'm embarrassed to say I'm having a hard time constructing a rigorous proof that $|a+b| \leq |a|+|b|$. Any help would be appreciated :) How do I get lightning:datatable to do some undocumented thing X? How often do ewoks eat sentients? In Return of the Jedi, the ewoks plan on eating Luke, Han and Chewie.     THREEPIO: I'm rather embarrassed, General Solo, but it appears you are to be the main course at a banquet in my honor.   At this point, the tribe had already met and befriended Leia, and had encountered the Imperials in the past, making it fairly likely that they knew humans were .  This raises the question of how often they ate sentients. Was it a one-off thing, to honor an extremely rare visit from a god, or was this fairly common? Mysterious cord running from wall. Safe? How would I prove that for all elements of a set {n | n ∈ ℕ ∧ n &gt; 7} (all natural numbers greater than 7), there are multiples of 3 and 5 which, when added up, are equal to that element of the set?  A := {n | n ∈ ℕ ∧ n &gt; 7} ∀ n ∈ A: n = x*3 + y*5   I do understand why this is true:   8 = 1*3 + 1*5 9 = 3*3 + 0*5 ...  15 = 0*3 + 3*5   and this pattern repeats once 16 is reached, as 8 can be replaced with 1*3 + 1*5, so I'd basically have to add 1 to x and y for every time 8 fits in n.  I am however not sure how I can formulate this mathematically correct.  Thanks in advance, CrushedPixel Hi I want to try Ubuntu 20.04 without installing it due to some driver issues in my laptop. But I already have 2 OS ( Windows 10 and Ubuntu 20.04 [Dualboot] ), so will trying Ubuntu mess with the already installed Operating systems? And I know how to make live usb and booting from it but don't know how to exit it and then bring my laptop back to normal. Tried finding procedure on internet but reliable results are not found. From what I've seen it looks to me like Libav's avconv is thought to become a successor of ffmpeg — is that correct?   If that's true, why is that so? What exactly is libav doing better and why would I want to choose it over ffmpeg?   I came to this "issue" while installing Ubuntu 12.04.1 LTS in a VM and when I've installed ffmpeg it came up with a message telling mit ffmpeg is deprecated and I first thought "wtf?".  If I use avconvWill I be able to migrate my scripts depending on ffmpeg more or less easy to libav? I'm mostly using it for writing meta data and doing audio conversion (wav, flac, vorbis, mp3, aac). Why does the wire-frame material fades across the object? Why does the wire-frame material fades across the object?  Here is what I did - I created a new material and I selected on "Wire" and I made it shadeless. Then, I created a new material and assigned the new material on the on the object. However, doing it that way, it allows me to render both materials - "Wire" and "Surface". Then I get a fading result like this -    But I want all of the edges to be shown, not a fading result. How can I make that?  Here is the blend file if anybody wants to check it out - Can misused Schema.org hurt SEO? I've inherited a site where I noticed that    there is an excessive use of Schema.org in all navigation elements pages describing products are marked as itemtype="http://schema.org/CreativeWork"   So I'm wondering if these tags are sending the wrong message and not truly optimized. I realize that the nav (1) is done in some themes, but I'm more worried about (2). Can it be a hit SEO-wise to mislabel pages instead of products? Is there exist a function defined on the real or complex numbers that, restricted to the integers, is equal to the factorial? Isn't $HOME supposed to be the location of the user's home directory? I'm having trouble with a web application I'm writing: The web application, which runs as user nobody, needs to launch an inkscape process to manipulate some SVG files. Because this runs as user nobody, there is no home directory. What I am doing is creating a temporary directory under /tmp and trying to set that as the home directory via export HOME=/tmp/someUniqueId. I then set a few things in that "temporary" home directory, like a symlink .fonts to the folder for the font files to use.  I know this works for finding the ~/.fonts directory. But when I launch Inkscape, all I get is a message that Inkscape could not create the .inkscape directory:    Doesn't $HOME set the location of my home directory? Why is Inkscape still trying to access / as my home directory?