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Condition for a tensor to be decomposable Mid-1980s animated theatrical release Though at the time I saw it I did not know it, this would be called "anime" today. It was in English, and I don't remember if the characters lips matched the audio track. I couldn't have been older than about 3rd grade, so that puts it around 1985ish I believe.  It was released theatrically in the United States, I do not know if it was a limited release. I saw it in Cincinnati, Ohio. No idea what movie theater chain.  The story was rather typical, young man who goes on the hero's journey. Definitely science fiction elements (flying vehicles, maybe spaceships). He comes across or is given a sword hilt without a blade. He learns to use it, and when he does it acts as if the blade is there. At the finale, he has lost the hilt entirely and, thinking that he has lost, almost gives up. But a (voice in his head, his mentor, can't remember what) something tells him to try despite this, and it's as if he has the sword even without the hilt. He then triumphs.  Can anyone identify this movie? Why does a bezier curve twist when rotated? If I create a bezier curve and rotate it in edit mode it does not accordingly rotate the tilt of the handles which creates an undesirable twisting along the curve.  Here is an example using a bezier circle with a square used for a bevel object:   Here it is after being rotated 90° about the y-axis:   How do I prevent/fix this? What are the criteria for questions to be selected for Hot Network Questions? I really like the , where certain questions from the Stack Exchange Network are presented, along with a hotness rating that is described as &quot;arbitrary&quot; in its tooltip. Such questions also appear randomly on the sidebar on sites across the network, under the heading &quot;Hot Network Questions&quot;. How do these arbitrary hotness points work, and how are they used to select questions to appear in those lists? How can I programmatically change the active theme? How can I programmatically change the active Drupal 8 theme?  In Drupal 6, we used the following code.  global $custom_theme; $custom_theme = 'garland';   In Drupal 7, we used hook_custom_theme().  In Drupal 8, what's the correct way to do this? What would be the value of $\sum\limits_{n=0}^\infty \frac{1}{an^2+bn+c}$ I would like to evaluate the sum  $$\sum_{n=0}^\infty \frac{1}{an^2+bn+c}$$  Here is my attempt:    Letting    $$f(z)=\frac{1}{az^2+bz+c}$$  The poles of $f(z)$ are located at   $$z_0 = \frac{-b+\sqrt{b^2-4ac}}{2a}$$  and  $$z_1 = \frac{-b-\sqrt{b^2-4ac}}{2a}$$  Then  $$ b_0=\operatorname*{Res}_{z=z_0}\,\pi \cot (\pi z)f(z)= \lim_{z \to z_0} \frac{(z-z_0)\pi\cot (\pi z)}{az^2+bz+c}= \lim_{z \to z_0} \frac{\pi\cot (\pi z)+(z_0-z)\pi^2\csc^2 (\pi z)}{2az+b} $$  Using L'Hopital's rule. Continuing, we have the limit is  $$ \lim_{z \to z_0} \frac{\pi\cot (\pi z)+(z_0-z)\pi^2\csc^2 (\pi z)}{2az+b}= \frac{\pi\cot (\pi z_0)}{2az_0+b} $$  For $z_0 \ne 0$  Similarly, we find  $$b_1=\operatorname*{Res}_{z=z_1}\,\pi \cot (\pi z)f(z)=\frac{\pi\cot (\pi z_1)}{2az_1+b}$$  Then   $$\sum_{n=-\infty}^\infty \frac{1}{an^2+bn+c} = -(b_0+b_1)=\\ -\pi\left( \frac{\cot (\pi z_0)}{2az_0+b} + \frac{\cot (\pi z_1)}{2az_1+b}\right)=  -\pi\left( \frac{\cot (\pi z_0)}{\sqrt{b^2-4ac}} + \frac{\cot (\pi z_1)}{-\sqrt{b^2-4ac}}\right)= \frac{-\pi(\cot (\pi z_0)-\cot (\pi z_1))}{\sqrt{b^2-4ac}}= \frac{\pi(\cot (\pi z_1)-\cot (\pi z_0))}{\sqrt{b^2-4ac}} $$  Then we have  $$\sum_{n=0}^\infty \frac{1}{an^2+bn+c} = \frac{\pi(\cot (\pi z_1)-\cot (\pi z_0))}{2\sqrt{b^2-4ac}}$$    Is this correct?  I feel like I made a mistake somewhere.  Could someone correct me?  Is there an easier way to evaluate this sum? Is right hand rule arbitrary? In definition of vector multiplication, the direction of the resulting vector is given by the right hand rule. However I don't know any mathematical requirement to pick right hand instead of left for this purpose. Is there any? How to find the best route through multiple points? I am using postgreSQL, postGIS and pgrouting. Now I am really confused on how am I going to find the shortest path between multiple points.   I know how to find it between two points through dijkstra but I am confused how to accomplish the same result with more than two points.   I have done some research and found this:    But still I did not understand if its the right way and how to install it. I would like to ask a question about Java that doesn't have a specific answer. It's a question to see what people think and to share their opinion.    Will Stack Overflow tolerate this, or is there another Stack Exchange resource where I may ask a question like this? I am making a regex expression in which I only want to match wrong tags like: &lt;p&gt; *some text here, some other tags may be here as well but no ending 'p' tag* &lt;/p&gt;   &lt;P&gt;Affectionately Inscribed &lt;/P&gt;&lt;P&gt;TO &lt;/P&gt;&lt;P&gt;HENRY BULLAR, &lt;/P&gt;&lt;P&gt;(of the western circuit)&lt;P&gt;PREFACE&lt;/P&gt;   In the above same text I want to get the result as  &lt;P&gt;(of the western circuit)&lt;P&gt; and nothing else should be captured. I'm using this but its not working:  &lt;P&gt;[^\(&lt;/P&gt;\)]*&lt;P&gt;   Please help. I'm looking for a time and memory efficient solution to calculate a  in C. I need to avoid dividing because I'm on a PIC 16 which has no dedicated division unit.  At the moment, I just store all values in a  and simply store and update the sum each time a new value arrives. This is really efficient, but unfortunately uses most of my available memory... Google Cloud frequently doesn't have enough resources Page-wide table in two-column mode I want a table that is as wide as the whole page in a document with option twocolumn. The table has to be inserted on the bottom of the page, but that is not necessary.  I've tried:  \begin{table*}[b]   ... \end{table*}   But that puts the table at the end of the document instead of on the same page.  I also tried:  \twocolumn[   \begin{table}[b]     ...   \end{table} ]   But that gives me an error: ! Argument of \@xfloat has an extra }. Combining \twocolumn and the star mark gives the same error.  What's the right way to do this? The question I am working on is, &quot;Consider the following. (a) Find the angular speed of Earth's rotation about its axis. rad/s (b) How does this rotation affect the shape of Earth?&quot;  I am fully capable of solving part (a); however, I am not sure how to describe the effect earth's rotation on its shape. I tried to search my textbook for the answer, but could not find anything. Is there an actual effect on the shape? How do I set the bootloader so that in my dualboot with Windows 7/Ubuntu 11.04, Windows start up as standard instead of Ubuntu? Proving the convergence of $\sum\limits_{n=1}^{\infty}\frac{1}{1+z^n}$ for $|z| > 1$ $\sum\limits_{n=1}^{\infty}\frac{1}{1+z^n}$, $|z|&gt;1$.  There are two facts that my professor uses that I am confused about.  The first is: $|1+z^n| \geq ||z|^n-1|$, I believe this is true for any $|z|$.  The other is: $\frac{1}{|z|^n-1} \leq \frac{2}{|z|^n}$, I believe this is also true for any $|z|$.  Can anyone prove these statements for me? Attribute field names truncation when creating shapefiles I am wondering what is the expression that truncate a given name to the 10 characters name used in ESRI shapefiles when an object is saved as shapefile with the function writeOGR in R. For example, the attribute field from a spatial dataframe "Ablepharus kitaibelii" is converted to "Ablphrk" when saved as shapefile, how the truncation is done? It is stated as a problem in Spivak's Calculus and I can't wrap my head around it. Can I purge configuration files after I've removed the package? I was doing a package removal with apt-get remove but then realized I should have done a --purge along with it to remove the configuration files.  Can I remove the packages configuration files easily or do I need to reinstall the package and then remove with a --purge? Using Static Variables in a Custom Module I'm trying to define a static variable for use in my custom module. I want it to let me pass a number from function to function. I'm using drupal_static() but I can't get it to work. How do I do this?  This is the code I'm using to define my static variable.  $var = &amp;drupal_static(__FUNCTION__); if (!isset($var)) {   // generate contents of static variable   $var = '8'; } return $var;   I've tried putting it in a custom module.    function viewusercontact_locateuser($value, $key, &amp;$counter) {    global $user;     /**********In here***********/     if ($value['uid'] == $user-&gt;uid) {       ........    } }   I can't seem to get it to work. What am I doing wrong?  (I got my code from the following guides)