Determinant of the square matrix $A$ where $a_{i,j}=|j-i|$
Calculate a determinant with pattern
Best File Management Practices when you have thousands of Files We publish over 100+ textbooks and growing (1-color, 2-color, 4-color) maninly designed in CorelDraw &amp; Indesign with associated Image and Font Files. We also have merged multipage PDF &amp; EPS files that we send to our offset printers.Also, some Image files are exclusive to a project while some are shared across projects.   What are the best practices to follow when it comes to management of these files? We are always working on multiple versions of the same files and often with multiple DTP operators.  Right now it is all on a Shared Drive with Individual Folders but that always creates confusion in identifying the latest version of the file and some users save the file to some other folder. Security of the Data is another issue as we work with a lot of freelancers also.  How do big design studios and publishing houses handle versioning, collaboration and the associated files with a project neatly? Do they use a CMS / Document Management System? Cartoon TV Show About Three Kids and Monsters and a "veil" between realms Why is Dictionary preferred over Hashtable in C#? In most programming languages, dictionaries are preferred over hashtables. What are the reasons behind that? Derivation of the general forms of partial fractions Can you decide to counterspell after another counterspell has failed? How can I override the OnBeforeUnload dialog and replace it with my own? I need to warn users about unsaved changes before they leave a page (a pretty common problem). window.onbeforeunload = handler  This works but it raises a default dialog with an irritating standard message that wraps my own text. I need to either completely replace the standard message, so my text is clear, or (even better) replace the entire dialog with a modal dialog using jQuery. So far I have failed and I haven't found anyone else who seems to have an answer. Is it even possible? Javascript in my page: &lt;script type=&quot;text/javascript&quot;&gt;        window.onbeforeunload = closeIt; &lt;/script&gt;  The closeIt() function: function closeIt() {   if (changes == &quot;true&quot; || files == &quot;true&quot;)   {       return &quot;Here you can append a custom message to the default dialog.&quot;;   } }  Using jQuery and jqModal I have tried this kind of thing (using a custom confirm dialog): $(window).beforeunload(function () {     confirm('new message: ' + this.href + ' !', this.href);     return false; });  which also doesn't work - I cannot seem to bind to the beforeunload event. Time Traveler steps on a butterfly, changes everything I heard of this in high school, but never learned its title or author- supposedly the aforementioned worm butterfly would have played a part in evolution that caused the extinction of the dinosaurs (instead of that meteor most people blame now). This story might even have been parodied on a certain Simpsons Halloween Special (the one where Homer accidentally makes a time machine trying to fix the toaster). No custom off topic message when flagging on SO I have less than 3000 rep on StackOverflow. Now that the new closing changes are live, I cannot supply a custom off topic message:    I can enter a custom off topic flag message without issue here on meta, though it only has three canned off topic reasons, rather than five.  I'm not sure if this is the same for users with enough rep to vote to close directly, but the lack of a custom message eliminates the ability to use the correct flag reason in some cases.  For example, I wanted to flag , which is simply off topic on SO. However, I can't use a custom message, and none of the canned ones are appropriate.    appears to be the most up to date official information on custom reasons, and indicates that they are remaining in play for now.  supports that.  If this is by design, how should I flag such questions? This is not a case worth bothering the mods over, so I don't want to use a custom diamond attention flag. I have a friend who is playing with me on a server we've created. Unfortunately, he is on a  Mac whereas I am on a Windows machine. I told him that I should be able to compile and send a .minecraft folder to him so that we can both play. Unfortunately, he can't find his .minecraft folder where it is supposed to be. Is it hidden and how can I unhide it? How can I reorder my divs using only CSS? Shouldn't there be a way to prevent automatic awarding of a bounty? For example, if someone provides an answer that sounds good but is totally wrong, it may happen that it gets a score of +2, but doesn't deserve the bounty. If no one else answers, half the bounty will automatically go to this person. Automatic awarding is good if an inactive user offers a bounty, but I think there should be a button that basically means "I know the bounty should now be awarded, but I have read the answers and none of them deserve the bounty".  The button should obviously not refund the bounty, just let it go to /dev/null instead of awarding it to someone who doesn't deserve it. Change default CSS of Google Chrome I would like to be able to change the default CSS used by chrome, such as removing the underlines for links, etc. However, I cannot find the default CSS file used by Chrome. Does anyone know where it is? Is there an implicit default constructor in C++? In the book I'm reading at the moment () it says that if you don't declare a default constructor for a class, the compiler supplies one for you, which "zeroes out each data member". I've experimented with this, and I'm not seeing any zeroing -out behaviour. I also can't find anything that mentions this on Google. Is this just an error or a quirk of a specific compiler? Why does a bigger sensor lead to a shallower depth of field? It has been mentioned at    that a larger sensor results in images with a shallower depth of field. Example image:          I understand how sensor size would relate to, for example, field of view, but the relationship with depth of field does not seem straightforward.  It actually seems contradictory - I have more wells on my sensor, and I am able to focus on less number of points.  What is the reason for this effect? proof by induction: sum of binomial coefficients $\sum_{k=0}^n (^n_k) = 2^n$ Convert .sdf database to .mdf database Email Deliverbility How can I enable permissions to edit Email Deliverability access level? Currently it is not editable and in system mode. I need to edit it and set it to "All Email so I can test Approval and workflow functionality. Homomorphisms from $\mathbb{Z} \rightarrow S_3$. The height of a string in a gravitational field in 2-dimensions is bounded by $h(x_0)=h(x_l)=0$ (nails in the wall)  and also $\int_0^l ds= l$. ($h(0)=h(l)=0$, if you take $h$ as a function of arc length) .  What shape does it take?  My try so far: minimise potential energy of the whole string,  $$J(x,h, \dot{h})=\int_0^l gh(x) \rho \frac{ds}{l}=\frac{g \rho }{l}\int_0^l h(x) \sqrt{1+\dot{h}^2} dx$$  With the constraint  $$\int_0^l \sqrt{1+\dot{h}^2} dx- l=0$$ If it helps, it's evident that $\dot{h}(\frac{l}{2})=0$.  Generally, this kind of equation is a case of a constrained variational problem, meaning that the integrand in  $$\int_0^l \frac{g \rho }{l}h(x) \sqrt{1+\dot{h}^2} +\lambda(\int_0^l \sqrt{1+\dot{h}^2} dx- l)dx$$  Must satisfy the Euler Lagrange equation. The constraint must also be satisfied.  But, in truth, by this point I am clueless. $\lambda$ is worked through $\nabla J  = \lambda \nabla(\int_0^l \sqrt{1+\dot{h}^2} dx- l)$. I have tried this , but get nonsensical answers.  Is this method the best? If so, in what ways am I going about it wrongly thusfar? I have the Ubuntu WSL2, is it possible to run games like nSnake? how would i install it? Title says all. I have ubuntu 20.04 LTS. I downloaded it from the Microsoft store, and i was to install games on it. How do i do this?