ListDensityPlot — bar legend colors inconsistent with plot value coloring
ContourPlot and Colorfunction
These are my current disk partitions. /yedek is for some personal backup files. As you can see there is only Ubuntu on my PC. I will install Windows, too. Because of this I want to shrink /dev/sda3 . It currently 546GB and I want to split it: 300GB for / and 246GB for Windows (NTFS) is OK for me.  I'm using GParted for the first time. How can I shrink /?  I don't want to lose any datas from Ubuntu. Is time travel possible? Is it possible to go back in time? I read somewhere that according to relativity, it is possible - involving black holes and other stuff - to jump into the past. Is it possible for anything to go back in time either continuously or by jumping? What is the difference between "owing to" and "due to"? I'm working on a VAR model and am doing a log transformation of the raw data.   x = log(x)   After differencing, running various tests and running a VAR(2) model, I add the predicted differences cumulatively to the original time series (logged) like this:  prd.diffs &lt;- as.ts(prd$mean$d.x1) U &lt;- tail(undiff,2) cumu &lt;- cumsum(prd.diffs) + U[1]   However, while the output now looks as it should, it is still in logged values.  My question is as follows:  How does one return the logged output to original values? I'm under the impression that using exp() will not give the correct results, and having tried some variations it hasn't worked for me.   Does the fact that it is a VAR($p$) model (and possibly what lag it has) influence the method, and how should that be implemented to get the correct output?  P.S. I realise that the above code does not constitute a replicable example as I didn't deem that necessary for the question, but should that be desired I can add some more code. What Percentage Makes Someone a Half-blood? How does an isolated body in deep space 'know' it's rotating? We can imagine an object floating in the known universe, maximally distant from any other large mass. Maybe it has been there since coalescing after the big bang.  What physical phenomena tell it whether it is rotating relative to the rest of the universe and therefore experiencing a centrifugal (?) force.  Is it the combined gravity of all other matter? Is it 'spooky action at a distance'?  Is it because it is rotating relative to 'empty space'? Using a keyboard shortcut to paste text What is the smallest viable reproducing population, such as in a human population. By viable I mean a population which keeps genetic defects low (enough).  A very strongly related question: what is the expected number of generations a given population can survive? Integrating radial free fall in Newtonian gravity How to access HTML element without ID? For instance in the snippet below - how do I access the h1 element knowing the ID of parent element (header-inner div)?  &lt;div id='header-inner'&gt;     &lt;div class='titlewrapper'&gt;        &lt;h1 class='title'&gt;        Some text I want to change       &lt;/h1&gt;     &lt;/div&gt;  &lt;/div&gt;   Thanks! Extending a Homotopy from $X \times [0,1]$ to $X \times \mathbb{R}$ Transforms moving around the 3D cursor? I think I accidentally pressed something to make it like this:    See how the XYZ arrows are at the 3D cursor instead of those vertexes I've selected?  How do I fix that? Whenever I select on a vertex or something, those blue, red, green arrows would always be where I selected, now it just keeps going to the 3D cursor. How can I bake the cloth simulation into keyframed vertices or shape keyed vertices? I'm simulating a cloth. How can I bake the cloth simulation into keyframed vertices or shape keyed vertices? What is a good strategy to deal with lots of engineers turtling on the other team? Now that the Engineer update has come, there will be lots of Engineers building up everywhere.  How should this best be handled? Django template how to look up a dictionary value with a variable Is there a comma needed before quotation? Was the chip real or fake? I'm talking about the movie  Spoilers ahead.  Walter (Daniel Radcliffe) gave the task or blackmailed the Four Horsemen to steal a chip from a lab which can access any digital device. So they did steal the chip. And when they rescue Dylan Rhodes (Mark Ruffalo) from drowning in the water, Jack Wilder said that the chip is fake.     Jack: Wait something is not right.      Atlas: What's wrong?      Jack: It's fake.   Then they assumed that Walter did not know that the chip is fake. So they came with a plan to bluff. They pretended that they had the real chip. After they got caught by Walter, they gave the fake chip to Walter. Walter checked the chip and declared it as real. The Four Horsemen were surprised.     Walter: I'm sorry to interrupt. But I have to say congratulations and   thank you. It's real.      Lula: What? It's real!!!!!      Atlas: What? Is it real?      Jake: What is he talking about?   What happened? I didn't get it. What did I miss? Was the chip real? Was Walter pretending it to be real? If so, then why? If not, who switched the real chip with the fake one? Who had the real chip before? What is an efficient way to implement a singleton pattern in Java? What is an efficient way to implement a singleton pattern in Java? A friend of mine asked me to calculate the value of a perticular determinant, but after spending quite some time on it I'm unable to find a solution to it. The given determinant is:  $$         \begin{vmatrix}         0 &amp; 1 &amp; \cdots &amp;n-2&amp;n-1 \\         n-1 &amp; 0 &amp; \cdots &amp;n-3&amp;n-2 \\         \vdots &amp; \vdots &amp; \ddots &amp; \vdots &amp;\vdots\\         1 &amp; 2 &amp; \cdots &amp; n-1 &amp;0 \\         \end{vmatrix} $$  Also my friend is supposed to solve this determinant by more or less elementary methods, like elementary row operations, transpose... and no eigenvalues, nor adjoints.    First of all it seems like the value of the determinant is:  $$         \frac{1}{2n}\begin{vmatrix}         0 &amp; n &amp; \cdots &amp;n&amp;n \\         n &amp; 0 &amp; \cdots &amp;n&amp;n \\         \vdots &amp; \vdots &amp; \ddots &amp; \vdots &amp;\vdots\\         n &amp; n &amp; \cdots &amp; n &amp;0 \\         \end{vmatrix} $$  Anyway I tried adding all the rows to the last one and by taking $\frac{n(n-1)}{2}$ in front to have a row of 1s, but it didn't helped me much.  Then I tried to use the fact that:  $$         \begin{vmatrix}         A &amp; C \\         0 &amp; B \\         \end{vmatrix} = \det(A) \cdot \det(B) $$, where $A,B$ are square matrices. By subtracting the $(\frac{n}{2} + i)$-th column from the $i$-th ($i=0,1,2...$) and then adding the $i$-th row to the $(\frac{n}{2} + i)$-th row, one can obtain the wanted form, but again nothing more. Also this method pretty much fails when $n$ is odd.  My best attepmt was to notice that $A_{ij} + A_{ji} = n$ and using $\det(A^{T}) = \det(A)$, but unfortunatelly  $$\begin{vmatrix}         0 &amp; n &amp; \cdots &amp;n&amp;n \\         n &amp; 0 &amp; \cdots &amp;n&amp;n \\         \vdots &amp; \vdots &amp; \ddots &amp; \vdots &amp;\vdots\\         n &amp; n &amp; \cdots &amp; n &amp;0 \\         \end{vmatrix} \not = \begin{vmatrix}         0 &amp; 1 &amp; \cdots &amp;n-2&amp;n-1 \\         n-1 &amp; 0 &amp; \cdots &amp;n-3&amp;n-2 \\         \vdots &amp; \vdots &amp; \ddots &amp; \vdots &amp;\vdots\\         1 &amp; 2 &amp; \cdots &amp; n-1 &amp;0 \\         \end{vmatrix} + \left( \begin{vmatrix}         0 &amp; 1 &amp; \cdots &amp;n-2&amp;n-1 \\         n-1 &amp; 0 &amp; \cdots &amp;n-3&amp;n-2 \\         \vdots &amp; \vdots &amp; \ddots &amp; \vdots &amp;\vdots\\         1 &amp; 2 &amp; \cdots &amp; n-1 &amp;0 \\         \end{vmatrix}\right)^T$$ I tried to decompose the LHS by using the $n-$linearity of the determinants, by then one gets $2^n$ determinants on the RHS similar to the first one, but things are messy. After logging in on terminal with user name and password, how do I start the GUI?