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Errors in matrix equation? I'm getting errors in a matrix equation. When I compile it looks fine, but I'd like to fix them so I don't have to press return for every error at compile time. The code for the equation is:  \begin{equation*}  \begin{bmatrix} U(1,t)  &amp; \cdots &amp; U(n,t) \\  \vdots &amp; \ddots &amp; \vdots \\ O_{n1} &amp; \cdots &amp; O_{nn}  \end{bmatrix} \times \begin{bmatrix} W(1,1)  &amp; \cdots &amp; W(1,n) \\  \vdots &amp; \ddots &amp; \vdots \\  W(n,1) &amp; \cdots &amp; W(n,n)  \end{bmatrix} = \begin{bmatrix}  D(1,t)  &amp; \cdots &amp; D(n,t) \\ \vdots &amp; \ddots &amp; \vdots \\ I_{n1} &amp; \cdots &amp; I_{nn} \end{bmatrix}  \end{equation*}   The errors I'm getting are related to missing $'s inserted. How to fade one material into the other? Hello blender community.  Could someone please let me know how to fix this issue? I have one material for the whole face and a different one for the lips.  there's a noticeable edge that I want to get rid of. I just want it to have an ease fade instead of a sharp edge.   what's the best way to go about this?  Thank you in advance!    Finished Update  I wanted to give an update on how it was fixed with @hexbob6 and @Lemon 's help.    I needed two textures. One is the actual colored version and the 2nd is the black and white masked version. Hexbob6 described very well on the process here:   A: The node process on how to do it.    The B/W masked texture is going to be connected to the Fac of the mixed shader along with its UV coordinates. Make sure the image is on clip instead of repeat. the 1st shader is going to be the black part of the B/W masked texture. An important thing to note is if you have a texture already for the object, be sure to connect the other UV coordinates! the 2nd shader will be the white part of the B/W masked texture.   B: This section is the UV layout called "mainUV" where all the color goes.  C: This section is the B/W masked texture to focus on the lips.  D: Just the render view  E: Best way to texture something is to be able to see it in 3D view and texture paint.  F: Just showing that there are two textures to keep track of. One is the main UV and the 2nd is to focus on the lip.   That was it. Once again thanks to those who replied and helped me figure this problem. In the process I learned other things that I didn't know about blender even though I've been using it for years. How do I read the manifest file for a webapp running in apache tomcat? What is the secret of making a really juicy burger? As the title says; What is the secret of making a really juicy burger? How to get city name from latitude and longitude coordinates in Google Maps? Is vocative comma rule vanishing? This is meant to solve this problem once and for all. What is every reason an object isn't showing up in a render or viewport in when using the cycles render engine? Enable fractional scaling for Ubuntu 18.04 Does COVID-19 have a case fatality rate of 41%? Is this formula correct? According to the data on the , as of 3rd February 2020 there were 17491 confirmed cases of COVID-19 globally, 536 total recoveries and 362 deaths. From my non-expert calculation this implies a mortality rate of:  (Nd / (Nd + Nr)) * 100 = 41%  where:  Nd is the total number of deaths, Nr is the total number of full recoveries.  This leaves 16593 people still suffering from the disease who have neither recovered or died.  This is in stark contrast to the publicly disseminated value of ~2% mortality, so have I made a mistake in my calculation or assumptions, or is COVID-19 much more dangerous than commonly claimed?    [After a helpful discussion in the comments, 'mortality rate' is not the correct term to use here, instead I should say ''.] Getting around the FAT32 4GB file size limit Which English dialects have 2nd person plural? "Y'all" is the famous southern US form of the 2nd person plural.  The Brooklyn / Italian-American "youse" might be another.  While the existence and usage of "y'all" has been addressed somewhat thoroughly here:  , I've found nothing else on EL&amp;U regarding 2nd person plural forms in other English dialects.  I know there was a dual form in Old English () does that survive in any of the dialects in the Danelaw?  Do Scots / Gaelic / Welsh / Australian / other dialects retain any type of 2nd person plural / dual in modern usage? pgfplots and using axis cs to add points I am trying to mark two inflection points using a foreach loop in a pgfplot, but it isn't working.  \documentclass[tikz]{standalone} \usepackage{pgfplots} \pgfplotsset{compat = 1.10}  \begin{document} \begin{tikzpicture}   \pgfmathsetmacro{\infx}{1/sqrt(2)}   \pgfmathsetmacro{\infy}{exp(-.5)}   \begin{axis}[     xmin = -3,     xmax = 3,     ymin = -0.1,     ymax = 1.05,     domain = -4:4     ]     \addplot[blue, samples = 500, smooth] gnuplot {exp(-x^2)};      \foreach \x/\y in {\infx/\infy, -\infx/\infy}{       \draw[red] (axis cs: \x, \y) circle[radius = .025];     }   \end{axis} \end{tikzpicture} \end{document}   I am being told:  Undefined control sequence.^M &lt;argument&gt; axis cs: \x ^M                        , \y ^M l.34   \end{axis}^M Why do backslashes appear twice? My computer only has one USB-C port and I want to connect multiple USB-C devices to it.  I have trawled through Amazon but am amazed that I cannot find a single one. There are many hubs that have USB 3.1 USB-A ports but not USB-C ones.  Is there a limitation in the spec that prevents this being possible? Making extra parameters optional I've setup a very specific function and it works well but I'd like to make the parameters optional but I can't get a handle on the regex bit:  add_rewrite_rule('whats-on/([^/]+)/([^/]+)/([^/]+)/?$', 'index.php?page_id=71&amp;event_year=$matches[1]&amp;event_month=$matches[2]&amp;event_day=$matches[3]','top');   /whats-on/2012/01/25 I'll show all events on this date.  /whats-on/2012/01 goes to 404 but I'd like the parameter to be optional so I can show all January dates and the same for /whats-on/2012 all dates in year 2012  Any help will gratefully received - thanks Where to put the escape characters? I've tried to change my prompt by editing .bashrc:  export PS1="\e[0;32m[\u@\h \W]\$ \e[m"   This seems to work, but ctrl-r to access reverse history ends up with my typing not appearing in the same place as it will be interpreted (like ). It is fine when using the up or down arrows to select previous commands though.  I've had a look at that question, but can't seem to work out where to apply the escape characters in my prompt. I've tried a few combinations but then I break normal text typing functionality or simple back/forwards through history.  If you could include an explanation of which instances of characters need escaping and why, that would help me (and hopefully others) learn. Is it possible to have connecting loop lines (like algorithm2e) in algorithmic? I want the QED symbol to be 1 line lower at the end of proof Is it legal to study while on a tourist Schengen visa? If, say, you acquired a 90-day tourist Schengen visa, would it be legal to use it for the purpose of visiting a language course or a university class? Or do you have to apply for a special education visa if you have such intents?  Answers linking to official EU pages on that matter would be highly appreciated :) Print lines between (and excluding) two patterns