The universe started at the big bang around 15 billion years ago. The universe is now at least 92 billion light-years in diameter.   Together, don't these mean that the universe, at some time in the past or present, was expanding at a rate of faster than 1 ly/y in every direction? Why is that possible?
The observable universe is approximately 13.7 billion years old. But yet it is 80 billion light years across. Isn't this a contradiction?
.gitignore for Visual Studio Projects and Solutions Does a photon exert a gravitational pull? I know a photon has zero rest mass, but it does have plenty of energy. Since energy and mass are equivalent does this mean that a photon (or more practically, a light beam) exerts a gravitational pull on other objects? If so, does it depend on the frequency of the photon? How to change the name of an iOS app? I began an iPhone project the other day with a silly development code name, and now I want to change the name of the project since it's nearly finished.   But I'm not sure how to do this with Xcode, trying the obvious of changing the application's name in the info.plist file, causes the signing process to go wrong (I think...) and my app won't launch giving me a Launcher error.  I guess I could make a new project and copy paste everything over, but it seems so primitive that I'm hoping for a more civilized solution. Indian passport threading coming off How to remove images from showing in a post with the_content()? Trying to learn more about creating my own themes and not using any plugins I wanted an ability to display all the images in a post excluding the thumbnail in my single-foobar.php file and I can do that with:  &lt;?php if ( have_posts() ) : while ( have_posts() ) : the_post();      $thumb_ID = get_post_thumbnail_id( $post-&gt;ID );  $args = array(    'post_type' =&gt; 'attachment',    'numberposts' =&gt; -1,    'post_status' =&gt; null,    'post_parent' =&gt; $post-&gt;ID,    'exclude' =&gt; $thumb_ID   );  $attachments = get_posts( $args );  if ( $attachments ) {     foreach ( $attachments as $attachment ) {        echo '&lt;div class="portproject"&gt;';        $image_res = wp_get_attachment_image( $attachment-&gt;ID, ' img-responsive' );        echo $image_res;        echo '&lt;/div&gt;';       }  }  else { ?&gt;     &lt;span&gt; No pictures loaded at this time&lt;/span&gt;  &lt;?php } endwhile; endif; ?&gt;   However, when I apply my static HTML and then try to call get_the_content() with:  &lt;?php  $content = get_the_content(); $content = preg_replace("/&lt;img[^&gt;]+\&gt;/i", "(image) ", $content);           $content = apply_filters('the_content', $content); $content = str_replace(']]&gt;', ']]&gt;', $content); echo $content; ?&gt;   it removes the images but leaves a (image) in the post with spaces then displays the remaining text. I did find a similar  but it suggests using get_the_content() but that strips all the styling from the post.  So my question is how can I strip images from the_content()?  I did find "" from my searches but that still uses the get_the_content() approach. How can I make a bootable, unattended USB restore disk? I have a load of 14.04 kiosk systems, halfway across the country. These are horrible little integrated devices. I need to upgrade them all to 16.04 to support a new software stack. do-release-upgrade works half the time. The other half it destroys the install. In addition, the CPUs are really slow and  network connections at some sites are also pretty shoddy. So even when it works, upgrading takes a long time.  So new plan. I can make a fully-installed system image for each kiosk in Virtualbox, or LXC, or whatever. I need a way to get these images unpacked onto the systems.  The main problem here is there are very few technical people available at the other end. And I don't want to fly 200 miles to do this myself. I need something that is almost completely automated and doesn't require a keyboard.  I'm imagining a scenario where:   I make a system image for each kiosk I make a bootable USB drive for each kiosk and copy on the kiosk image. I label each and post them. At the other end, a staff member with physical access to the USB ports just plugs in the right drive and reboots. The bootable element of this then writes and expands the disk image.   It's that "bootable element" that I'm looking for. I was expecting that something like this might already exist (for bulk reimaging installations) but it's possible I'm in new territory. Anything that gets my images installed without manual interference (past plugging it in) gets points.  As far as I know, options like Clonezilla require somebody with a keyboard to tell it what to do. I need something that doesn't require a keyboard, just gets on and does it. A concise definition of a frame of reference in Newtonian mechanics? I've read  on frame of reference and also followed all of the references cited in the text (Salençon, Brillouin, Norton, etc) but I'm struggling to find any concise definition in all of that.   I would like a concise definition for a frame of reference in the context of Newtonian mechanics. This definition should not involve any additional qualifiers such as inertial and must be mature enough as to differentiate a frame of reference and a coordinate system. Is there one such definition? WinForms DataGridView font size How do I change font size on the DataGridView? Finite Cartesian Product of Countable sets is countable? Is the finite Cartesian Product of Countable sets countable?  If possible, could you give a bijection that would work for any example?  Any help would be appreciated. Why do we need virtual functions in C++? How to record both screen and sound with Quicktime on El Capitan? I'm trying to record both what's happening on screen and the audio being played by the applications. To my surprise, QuickTime did not record the sound. I believe it worked before in previous OS X releases, but that is not something that I use often so I have not bothered to try earlier.  What is the current situation on El Capitan ? Have I messed with something that prevents QuickTime from capturing the sound, or has it never worked ?  Here is my view of Quick Time  / New Screen Recording on a Mac Mini:   On my Macbook Pro, I have the option select None or Internal Microphone. Internal microphone actually records the speakers of the Mac Book as heard from its own microphone, which obviously sounds terrible.  This is a MacMini 7,1 (late 2014) and there is nothing in Input Sources. Did Sam's memories transfer to the displacee when he leaped? In the TV show Quantum Leap Sam Beckett would travel history and "right" wrongs, temporarily displacing someone native to that timeline in the process. Would the memories of what Sam did transfer to the person he displaced upon his leaping out, or would they wind up with amnesia for the time Sam was there? What are reaching fouls in the NBA? When a player tries to steal the ball from a dribbling player, the referees sometimes award a "reaching foul". I just can't see any difference between a steal and a foul How do I operate on a DataFrame with a Series for every column Prove that $T^2$ is the zero transformation if and only if $\mathrm{range}(T) \subseteq \ker(T)$. $\newcommand{\range}{\mathrm{range}}$The full question: $T^2$ means the composition, i.e. $T(T(x))$ Let $V$ be a vector space and let $T: V \rightarrow V$ be linear.  Prove that $T^2$ is the zero transformation if and only if $\range(T) \subseteq \ker(T)$. So far I know that for ($\implies$).  Assume $T^2$ is the zero transformation.  Then $\ker(T^2)=\{0 \in V: T^2(v)=0\}$.  Note that this is $\forall v \in V$. We also know that the $\range(T)=\{0\in V: \exists v \in V: T^2(v)=0\}$. Not sure where to go from here.  Also for the other way, I don't know where to go. Let $(x_n)_{n=1}^{\infty}$ be a sequence such that $|x_{n+1} - x_n| &lt; r^n$ for all $n \geq 1$, for some $0 &lt; r &lt; 1$. Prove that $(x_n)_{n=1}^{\infty}$ is a Cauchy sequence.  I understand that a Cauchy sequence means that for all $\varepsilon &gt; 0$ $\exists N$ so that for $n,m \ge N$ we have $|a_m - a_n| \le \varepsilon$. But this one is really giving me a headache.  I tried doing something like: let $ m &gt; n$. Therefore $x_n - x_m$ =  $(x_n - x_{n-1}) + (x_{n-1} - x_{n-2}) + ... + (x_{m+1} - x_m) $ and then somehow using the triangle inequality to compute some sum such that $x_n - x_m$  &lt; sum which would be epsilon?  any help is appreciated, thank you. Creating an index of quality from multiple variables to enable rank ordering This is an exercise in real analysis:     Let $E\subset{\Bbb R}^d$ be Lebesgue measurable. Show that    $$ m(E)=\sup\{m(K):K\subset E, K \text{compact}\}. $$   When $E$ is bounded, this can be done by the following proposition:       $E\subset{\Bbb R}^d$ is Lebesgue measurable if and only if for every $\varepsilon&gt;0$, one can find a closed set $F$ contained in $E$ with $m^*(E\setminus F)\leq\varepsilon$.    How can I deal with the case that $E$ is unbounded? How to make a surface with a transparent background in pygame Convert Shapefiles to GeoJSON? I'm trying to convert Shapefiles from the  website into a GeoJSON file for use with Google Maps API. I'm using QGIS to facilitate but I can't get the projection/coordinates right. So far I've tried Google Mercator (EPSG:900913) and WGS 84 (EPSG:4326) with no luck. I'm using the OpenLayers to verify results and it keeps placing Texas near the  Gulf of Guinea (0 lat, 0 lng).