Distinguishing between running a process in client terminal or on the server when using SSH
Playing a remote movie on the remote computer
How to achieve screen tearing effect or video glitches I do not know at all what this effect is called, therefore I cannot search for the answer on the web. I am referring to the thing where the RGB color will shift individually when the camera jitters/move  So, how can I achieve this sort of effect in blender? and for future reference, what is this effect called? Largest Mass Diffraction Formulae for Catalan's constant. Some years ago, someone had shown me the formula (1). I have searched for its origin and for a proof. I wasn't able to get true origin of this formula but I was able to find out an elementary proof for it.  Since then, I'm interested in different approaches to find more formulae as (1).  What other formulas similar to ($1$) are known?  Two days ago, reading the book of Lewin "Polylogarithms and Associated Functions" I was able to find out formula (2).  $\displaystyle \dfrac{1}{3}C=\int_0^1 \dfrac{1}{x}\arctan\left(\dfrac{x(1-x)}{2-x}\right)dx\tag1$   $\displaystyle \dfrac{2}{5}C=\int_0^1 \dfrac{1}{x}\arctan\left(\dfrac{\sqrt{5}x(1-x)}{1+\sqrt{5}-\sqrt{5}x}\right)dx-\int_0^1 \dfrac{1}{x}\arctan\left(\dfrac{x(1-x)}{3+\sqrt{5}-x}\right)dx\tag2$   $C$ being the Catalan's constant.  I have a proof for both of these formulae.  My approach relies on the following identity:  For all real $x&gt;1$,  $\displaystyle \int_0^1 \dfrac{1}{t} \arctan \left (\dfrac{t(1-t)}{\frac{x+1}{2}-t}\right) dt=\int_1^{\frac{\sqrt{x}+1}{\sqrt{x}-1}}\dfrac{\log(t)}{1+t^2}dt$ When does $\lim_{n\rightarrow \infty} a_n = 0$ imply $\sum_{n = 0}^{\infty} a_n$ converges? This is just a general question. I know the opposite statement is always true. I'm just asking when the converse holds. I know that the converse is not true in some cases, such as for harmonic series. What additional restrictions are needed to make this statement true? Difference between "did + verb" and just "verb+ed" This is something I always get confuse with (native language German). As far as I know "did + verb" is something done and finished in the past. But isn't it the same with "verb + ed"? Proving a function is Lipschitz continuous Show that the following function is Lipschitz continuous and find a Lipschitz constant  $$y\mapsto f(x,y)\\ f(x,y)=\frac{y}{x}\ln(\frac{y}{x})\text{  , } |x-1|\leq\frac{1}{2}\text{  , } |y-e|\leq\frac{e}{2} $$  I have no clue on where to begin to prove this.   My first question is how I should interpret this function, is $x$ a sort of constant? How can it be that the beginning universe had a high temperature and a low entropy at the same time? The Big Bang theory assumes that our universe started from a very/infinitely dense and extremely/infinitely hot state. But on the other side, it is often claimed that our universe must have been started in a state with very low or even zero entropy.   Now the third law of thermodynamic states that if the entropy of a system approaches a minimum, it's temperature approaches absolut zero.  So how can it be that the beginning universe had a high temperature and a low entropy at the same time? Wouldn't such a state be in contradiction to the third law of thermodynamics? Let $p&gt;3$ be a prime. Prove that $24 \mid p^2-1$.   I know this is very basic and old hat to many, but I love this question and I am interested in seeing whether there are any proofs beyond the two I already know. Vueling is currently experiencing , with many flights delayed by several hours. Assuming I'm at the airport and my flight is certainly delayed by more than 3 hours, can I simply book another flight and claim compensation later?  According to EU's :     In addition, if you are denied boarding, your flight is cancelled or arrives more than 3 hours late on arrival at the final destination stated on your ticket, you may be entitled to compensation of EUR 250 - 600, depending on the distance of the flight.   But it's not clear if I actually have to board the flight or if simply having a purchased ticket is sufficient. I presume it would be possible to negotiate with Vueling representatives at the airport, but I'd rather not wait in the inevitable 100-person line to their counter if I'm covered by EU law. I have noticed this on many different Windows machine, on many different occasions: the RAM usage reported by Task Manager or Resource Monitor often seems to add up to an amount which is significantly lower than the actual amount in use.  For example, many times on my laptop or my desktop, I have seen something like 7GB in use, and yet the total of the Working RAM Set is more like 3GB. I just can't figure out where it's being used!  Here's an extreme example I noticed today in Resource Monitor on a server:    If you right-click the image and open in a new tab, and view the numbers, you'll notice that the Working Set (which doesn't include nonphysical virtual memory) add up to about 1.7GB. I get similar numbers by adding up RAM usage in Task Manager when "Show processes from all users" is enabled.  Now here's a screenshot of task manager's Performance tab:    This says 7.6GB of physical memory is in use.  I see this all the time, on personal computers, laptops, and now servers: the total RAM usage reported by system tools only accounts for about 1/4 of the RAM usage I observe. WTF is going on???  Is there any satisfying explanation of where all my RAM is? What is gobbling it up, and why is it leaving no trace?  EDIT: Here's a picture of the graphical RAM use, as user whs asked for:    EDIT 2: In response to James' response, here's a picture of the nonpaged processes in poolmon.exe, sorted by size:    These results confuse me. poolmon correctly states that I have 6GB of nonpaged pool in use, but all the nonpaged pool processes are less than 8MB in size.  What could this mean? Is poolmon failing to detect some of the processes using the nonpaged pool? How to call child component controller function/helper from Parent Component Controller How to get a JavaScript object's class? Since the Earth has a magnetic field, can it, in theory, be run through a conductive metal coil to create electricity? Integral change that I don't understand If $f(t)$ is a Probability density function of a positive RV.  $\int_0^\infty\int_x^{\infty}f(t)dtdx$ Using fubini theorem should become $\int_0^\infty\int_0^{t}f(t)dxdt$  But why? Surely the answer is very simple but I don't see it. Fubini theorem allows the change of the order of integration. So it should become $\int_0^\infty\int_x^{\infty}f(t)dxdt$  but then I don't understand what meaning could have $\int_x^{\infty}dx$ How can I pay tolls on Japanese expressways? I'm renting a car soon in Japan and am planning to travel on the expressways. What's the best way to pay tolls? Number of automorphisms of a direct product of two cyclic $p$-groups I am trying to solve the exercises from the book Stochastic differential equations -An Introduction with applications by Bernt Oksendal and I am stuck on 1 question.  Prove directly from the definition of Ito's integral that   $$\int_0^t B_s^2 dB_s=\frac{1}{3}B_t^3-\int_0^t B_s ds$$  I have tried for a couple of hours but I simply cannot prove it . I would be grateful if somebody could help me out , even a hint would be very helpful I want to put a table and a figure side-by-side. The table should fill two third of the text width, and the figure the last third.  So I'd like to achieve one of the following effects (which are equivalent in my case):   One table with 3 columns. The first two columns contain text, the third column contains a lengthy image. The height of the image should be determined by the height of the whole table, if that's possible Or, a divided page like in newspapers. On the left side I have the table, on the right side the image.   What I have tried:  \begin{multicols}{2} \begin{tabular}{ l l } Text &amp; Text \\ Text &amp; Text \\ ... &amp; ... \\ \end{tabular} \vfill \begin{figure}[H]     \includegraphics[]{images/image} \end{figure} \end{multicols}   But this places the picture directly on top of the table.  I also tried using \usepackage[export]{adjustbox} and \includegraphics[right]{images/image} but the caption is still in the center of the page and therefor on top of the table. Chat is down. Where can I find when it'll be back up? Projectile/orbital motion over very long distance We know the optimum angle for greatest horizontal displacement when launching an object with projectile motion is 45 degrees.  How to solve the angle when it is real long distance around the earth where we cannot assume that gravity is constant but is given by $F=\frac {-GMm}{r^2}$. I use differetial equation to solve it and obtain 45 degrees.   First, for the vertical distance $y$, change $v=u-gt$ to $y'=u-y''t$. Then solve it to obtain a function $y(t)$. When $y'(t)=0$ we have the time for maximum vertical distance. Then insert the value to horizontal equation.   Can anyone guide me through this problem because I am not confident with my working