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How to rotate the curve but not the axes? Why doesn't the Sun appear green to our eyes? Why does sizeof(x++) not increment x? New navigation doesn't appear to alert of question changes when watching a tag I am watching the  tag on Stack Overflow. My filter looks like this:    I do not receive notification of new questions. Previously I'd get notifications like this:    This notification does work when watching the  page of Meta.   Are notifications only active for a certain set of filter options? If so, what are they? If not, can we get them back when watching pages other than the main page? Bake Simple Deform animation into mesh for Unity3D export? I'm trying to use a .blend file with a keyframe animation on the angle of a Simple Deform modifier in Unity3D. Unity3D however does not know how to handle modifiers and hence cannot play the animation.  How can I bake/save the animation to the .blend file so that Unity3D can play it? Contour graphing algorithm I am not sure if this belongs on Mathematics Stack Exchange, but it is somewhat relevant here.       The Problem If you've installed any graphing/plotting apps on your smartphone, you will notice that the app will only take the equation in form of a single variable for 2D (e.g  $y=f(x)$) or in 2 variables for a 3D plot (e.g $z=f(x,y)$). This is problematic as many equations are tough to reduce to the form of $y=f(x)$ or $z=f(x,y)$. The plotters like this because this is the only way they can plot it in form of lines connecting multiple points. These plotters compute the $y$ value at fixed intervals of $x$ and join the point to the previous one. The brute force approach to counter this is to check if the function satisfies it at each point on the image. The problem is that this not only takes more time, but gives discontinuous graph for the function as the image cannot have infinite resolution.         The Question The only way to fix this is to identify which point comes after the next in the plot and join them together by a line. That is where I am stuck. How do you identify which point is sequentially the next one for a given function? Keep in mind that for a human, this might be very easy to do. But, for a computer, this requires a general algorithm. Any ideas? Say I have a metric space $(X, d)$ and a set $A\in X$.  I want to prove that if $a \in \overline{A}$ then there is a convergent sequence $\{x_n\}$ that converges to $a$. Could I have any help? Supremum of a Continuous Function is Continuous Torque on a rod? I've learned that the torque on an object is just $ \text{perpendicular force}\times\text{radius}$ and that has worked well for things like seesaws but it doesn't take into account the torque of the object itself!    In the picture the rod has a total mass of 5kg, and by definition the torque on the right is greater than that on the left.  $$T=Fr$$   I am supposed to solve the question     What distance to the left of the fulcrum (triangle supporting the rod) would I have to put a 3kg weight to balance the rod?     I've tried calculating the net torque $T_{net} = I\alpha$ but I don't really know how to approach this. I'm looking for an explanation more than an answer. What algorithm is used by computers to calculate logarithms? Distorted circles in axis environment with TikZ With a fresh installation of TeX Live (updated just before writing this post), circles in axis environments are distorted. Consider the following MWE:  \documentclass{article} \usepackage{pgfplots} \pgfplotsset{compat=1.16}  \begin{document}  \begin{tikzpicture} \begin{axis}[   ymin=-3, ymax=3,   xmin=-3, xmax=3 ]  \draw (1,0) circle [radius=1.5]; \fill (1,0) circle [radius=1];  \end{axis} \end{tikzpicture}  \end{document}   The output looks like this:   Obviously, the circles aren't even circles. I haven't encountered this problem before. Did I do anything wrong while setting up my new system?  EDIT: It's not an issue of using axis equal or not since the axes are scaled more or less equally already. Instead, the circles appear as rotated ellipses that are strongly stretched out in one dimension.  EDIT 2: Here's the output of \listfiles:  article.cls    2019/12/20 v1.4l Standard LaTeX document class   size10.clo    2019/12/20 v1.4l Standard LaTeX file (size option) pgfplots.sty    2018/03/28 v1.16 Data Visualization (1.16) graphicx.sty    2019/11/30 v1.2a Enhanced LaTeX Graphics (DPC,SPQR)   keyval.sty    2014/10/28 v1.15 key=value parser (DPC) graphics.sty    2019/11/30 v1.4a Standard LaTeX Graphics (DPC,SPQR)     trig.sty    2016/01/03 v1.10 sin cos tan (DPC) graphics.cfg    2016/06/04 v1.11 sample graphics configuration   pdftex.def    2018/01/08 v1.0l Graphics/color driver for pdftex     tikz.sty    2020/01/08 v3.1.5b (3.1.5b)      pgf.sty    2020/01/08 v3.1.5b (3.1.5b)   pgfrcs.sty    2020/01/08 v3.1.5b (3.1.5b) everyshi.sty    2001/05/15 v3.00 EveryShipout Package (MS) pgfrcs.code.tex  pgfcore.sty    2020/01/08 v3.1.5b (3.1.5b)   pgfsys.sty    2020/01/08 v3.1.5b (3.1.5b) pgfsys.code.tex pgfsyssoftpath.code.tex    2020/01/08 v3.1.5b (3.1.5b) pgfsysprotocol.code.tex    2020/01/08 v3.1.5b (3.1.5b)   xcolor.sty    2016/05/11 v2.12 LaTeX color extensions (UK)    color.cfg    2016/01/02 v1.6 sample color configuration pgfcore.code.tex pgfcomp-version-0-65.sty    2020/01/08 v3.1.5b (3.1.5b) pgfcomp-version-1-18.sty    2020/01/08 v3.1.5b (3.1.5b)   pgffor.sty    2020/01/08 v3.1.5b (3.1.5b)  pgfkeys.sty pgfkeys.code.tex  pgfmath.sty     pgfmath.code.tex pgffor.code.tex tikz.code.tex l3backend-pdfmode.def    2020-02-03 L3 backend support: PDF mode supp-pdf.mkii epstopdf-base.sty    2020-01-24 v2.11 Base part for package epstopdf epstopdf-sys.cfg    2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Live Are PPAs safe to add to my system and what are some "red flags" to watch out for? Attributive nouns vs. of-genitive Understanding of Material Implication I just started doing logic and everything is going fine. But we just got to Material Implication and I don't really understand it. From for example $q$, we can get $q \lor \lnot p$ by Disjunction, and from there, using Material Implication, we can get $p \to q$.   The thing I don't understand is how is this valid. Let's say    $p$ is "it's raining", and  $q$ is "the floor is wet",    and $p \to q$ holds. But just because the floor is wet, doesn't mean that it's raining. So how can we conclude that $p \to q$ just from $q$?  I'm sorry if it's confusing. Is there a way to disable recovery mode so it won't be possible to factory reset your phone?  Basically what I am trying to do, is that it should be impossible to factory reset the phone as there is no recovery partition.  (Example format the recovery partition, or hide the option of factory reset on the recovery menu, build a custom recovery etc.)  P.S.. I was thinking of maybe removing a system app (example package installer) and making it a user app, and therefore when you factory reset the phone it won't start cause the system app is missing, but when I tried that, the phone wouldn't start even without resetting it, as the system needs the system app to start, ( I thought that maybe even though I removed the app from being a system app, the phone would still start as it's still there as a user app, and only after resetting the phone - that the user apps get deleted, the phone won't start as it's missing the app).  Thanks in advance Permitting scp but not ssh - without scponly how do you make clothes move along with your model? Do you rig the model first and then parent it to the body of the character then click cloth simulation? I am a little bit confused with the process. Thanks for the help. Screen Resolution Problem with Ubuntu 14.04 and VirtualBox Environment: Lenovo T530 running Windows 7.  Have installed Ubuntu 14.04 on a virtual machine using VM Virtual Box.  Have installed all the updates from both Virtual Box and Ubuntu.  Problem: While in Ubuntu's desktop and other Ubuntu initiated programs, the window is reduced to about 3x4 inches showing in the middle of the rest of my regular Virtual Box window.  I am seeing only the upper right hand of the screen output of what I would normally see.  Please help.   I've seen    But, none of these answers works in 14.04. How do I activate Dauntless Cathar's ability? has the following ability:     {1}{W}, Exile Dauntless Cathar from your graveyard: Put a 1/1 white Spirit creature token with flying onto the battlefield. Activate this ability only any time you could cast a sorcery.   Please clarify. If the card is IN my hand, how can I exile if FROM the graveyard if it is not there? Did the writers mean SEND it to graveyard, or actually exile it? Confused, the writing does not make sense. Third grade spiral in TikZ - dimension too large I'm trying to draw a smooth third grade spiral (r^3 = a^3\cdot \varphi) over $60\times 60$mm grid and I'm getting the "Dimension too large"-error if I set $a &gt; 320$ but I need to fill the grid area completely:  \begin{tikzpicture}[x=1mm, y=1mm]      \draw[step=1, line width=0.1mm, opacity=0.3] (-30, -30) grid (30, 30);      \draw [domain=0:50, variable=\t, samples=1000]          plot ({\t r}:{pow(320*\t, 1/3)}); \end{tikzpicture}     Is there any way to avoid this error?