Why doesn't Excel get to 0?
Why is this simple Excel calculation not netting Zero?
Increasing the Size of Beamer Footer I work in Beamer extensively (specifically the Madrid theme). Sometimes, my "title" is quite long. Beamer puts this title at the bottom, but when it's too long it cuts it off. I'd really like to know how to increase the size of the bottom middle rectangular footer.    Here's the code (sorry for all of the packages and commands):  \documentclass[t]{beamer} %Add "mathserif" to script math lettering. "t" places all text to start at the top of each slide \usetheme{Madrid}  %Packages  \usepackage{amsmath} %Math mode \usepackage{amssymb} %Math mode \usepackage{commath} \usepackage{graphicx} %Including pictures \usepackage{color} %Define colours \usepackage{setspace} %Enables double-spacing/variable spacing \usepackage{pgfplots} %Draw graphs \usepackage{upgreek} %Insert theta symbol as unitalicized  \usepackage[version=3]{mhchem} %Chemistry equation mode \ce{} \usepackage[export]{adjustbox} %Place black borders around images \usepackage{scrextend} %Used to change font size \usepackage{caption} %Used to utilize * in caption function \usepackage{subfig} %Used to place figures side-by-side with sub-captions \usepackage{siunitx} %SI Units (+ scientific notation) \usepackage{cancel} \usepackage{fancybox} %\usepackage{enumitem} %Making lists %\usepackage[english]{babel} %Lists with letters  %Erases Beamer Navigation Symbols on the bottom left \setbeamertemplate{navigation symbols}{}  %\setbeamertemplate{footline}{} \captionsetup[subfigure]{labelformat=empty}  %Defined Colours \definecolor{orangered}{RGB}{255,69,0} \definecolor{darkgreen}{RGB}{0,100,0}  \definecolor{firebrick}{RGB}{178, 34, 34} \definecolor{navy}{RGB}{0,0,128} \definecolor{lightsteelblue}{RGB}{176,196,222} \definecolor{steelblue}{RGB}{70,130,180} \definecolor{darkslateblue}{RGB}{72, 61, 139} \definecolor{forestgreen}{RGB}{34, 139, 34} \definecolor{Gold}{RGB}{218,165,32}  %Defined Colour Theme and List Sizing \setbeamercolor{structure}{fg = Gold} \setbeamertemplate{navigation symbols}{}  \setbeamerfont*{itemize/enumerate body}{size=\normalsize} \setbeamerfont*{itemize/enumerate subbody}{parent=itemize/enumerate body} \setbeamerfont*{itemize/enumerate subsubbody}{parent=itemize/enumerate body}  %Opening Title Page \title{Chapter 7 - Absolute Value and Reciprocal Functions} \subtitle{Section 7.3 - Absolute Value Equations} \date{}  \begin{document}     %Slide 1     \maketitle \end{document} D+ and D- on USB I'm making a small project which will take +5v from USB, What should I do with the D+ and D-, keep it open or short them to ground or do I have to add some components?  I want to run ATMEGA168 and 16x2 LCD with back light. Android 4.1: How to check notifications are disabled for the application? Is it possible to level grind in Normal Mode? So in Awakening, we can use Reeking Boxes... but what of Three Houses? I'm not far off from the beginning of the game- I have just recently finished the mock battle, actually, but I noticed this calendar mechanic in the game (and in extension, the activity points stuffs). Apparently, the days just... jump.  With this info, I assume there's only a limited number of days before reaching the so-called War Phase... so this brings me back to the question: are there maps or battles that I can replay again and again so that I can level grind the characters, or are there only a limited amount of maps/battles that I can participate in? This happened when I updated MikTeX to the latest version (as of time of this post) and tried the  regarding adding pdf pages to RevTeX documents. Running the code below produced text rotated by 90 degrees while commenting out the line which includes the pdfpages packages produces regularly positioned text. Note that the page number was not rotated. Can anyone reproduce this and what is the cause of this?  \documentclass[english]{revtex4-1} \usepackage{pdfpages}  % Including PDF  \makeatother \usepackage{babel} \begin{document}  Lorem ipsum dolor sit amet...  \end{document} I want to make the teeth a separate child object from the mouth. I want to know the best way to do this.   I have tried going into edit mode with Tab and trying to select all the vertices but that doesn't move the teeth. Is there an easy way to select just that part and make it a separate child mesh to the rest of the mouth? Although many have attempted to explain the difference among \mathrm, \textrm, \textnormal and \text (and others?), I found them misleading.  See for example the LaTeX's Wiki \mathrm explanation   Why is it wrong? Let's try all of them within an article and a beamer and you'll see the difference and, therefore, error.  equation.tex  \begin{eqnarray*}   \int_1^9\! \cos{x} \,\mathrm{d}x &amp; &amp; \textrm{this is textrm}\   \sum_1^9 y                       &amp; &amp; \textsf{this is textsf}\   \prod_1^9 z                      &amp; &amp; \textnormal{this is textnormal}\   \bigcup_1^9 w                    &amp; &amp; \text{and this is just text} \end{eqnarray*}   article.tex  \documentclass{article} \usepackage{amsmath} \usepackage{amsfonts} \usepackage{amssymb}  \begin{document}   \input {equation} \end{document}     And until here everything looks fine...  beamer.tex  \documentclass{beamer} \usepackage{amsmath} \usepackage{amsfonts} \usepackage{amssymb}  \begin{document}   \begin{frame}     \input{equation}   \end{frame} \end{document}     And here we can clearly see that \mathrm does not behave as expected, i.e. does not provide a function aspect to the d. Does anyone know what am I supposed to use here instead? Just \text?? o.O  Moreover, I cannot see any difference between \textnormal and \text.  Finally, \textrm looks useless.. One click to site meta? Right now from a main site, it takes TWO CLICKS to get to http://meta.SITE.stackexchange.com/ - ONE!  TWO!    Why not ONE click on the &quot;Hot Meta Posts&quot; &amp; &quot;Featured On Meta&quot; - Unsubscribe anonymous method in C# Is it possible to unsubscribe an anonymous method from an event?  If I subscribe to an event like this:  void MyMethod() {     Console.WriteLine("I did it!"); }  MyEvent += MyMethod;   I can un-subscribe like this:  MyEvent -= MyMethod;   But if I subscribe using an anonymous method:  MyEvent += delegate(){Console.WriteLine("I did it!");};   is it possible to unsubscribe this anonymous method?  If so, how? No Wifi, HP Pavillion 15 Ubuntu 14.04 Why is Harry Potter a half-blood? Images can be pushed outside the boundaries of a post by using nested lists A   B   C   D   E   F             I don't even know. It just seemed weird.  Yes, I understand I could just avoid doing something like that. But the problem already exists with a single level.   Consider having 2 images in a post. Both exceed the maximum width of a post. One is nested in a list. Key to this issue is that my original images were much larger. They were automatically resized.  Image    List      I think it looks weird. How can I animate the Restrict Visibility property of an object? I've been trying to create an animation where an object blinks on and off.   For example, I have a Cube and I set a keyframe on it's Restrict Visibility icon (the "eye" icon) with I, then I toggle off that "eye" so my cube doesn't show in the Viewport and again I press I to record that keyframe. Then, when I preview the animation in the Viewport, I see my cube appears and then disappears like I want, but when I render it, the cube does not disappear at all.  What am I doing wrong? Does measurement, quantum in particular, always increase the total entropy? Trajectory of a photon around a Schwarzschild black hole? Consider a photon coming from the infinity in a unbounded orbit to a Schwarzschild black hole (Schwarzschild radius $r_{s}$) (see  for illustration). Its impact parameter is $b$ and its distance of closest approach is $r_{0}$ with $$b^2=\frac{r_{0}^{3}}{r_{0}-r_{s}}$$.  Then its trajectory in polar coordinates is defined by :  $$\frac{d\varphi}{dr} = \frac{1}{r^2\sqrt{\frac{1}{b^2}-\left(1-\frac{r_s}{r}\right)\frac{1}{r^2}}}$$  Consequently : $$\varphi\left(r\right) = \int_{r_{0}}^{r} \frac{dp}{p^2\sqrt{\frac{1}{b^2}-\left(1-\frac{r_s}{p}\right)\frac{1}{p^2}}}$$  and one can compute the total deviation using :  $\Delta\varphi = 2\times\left(\lim_{r\to+\infty}\varphi\left(r\right)-\frac{\pi}{2}\right)$  But my question is : how can I plot/draw the trajectory using the integral expression of $\varphi\left(r\right)$ ?    Because if I compute : $$f\left(r\right) = 2\times\left(\int_{r_{0}}^{r} \frac{dp}{p^2\sqrt{\frac{1}{b^2}-\left(1-\frac{r_s}{p}\right)\frac{1}{p^2}}}-\frac{\pi}{2}\right)$$ I obtain $f\left(r_{0}\right) = -\pi$, and then $f$ increases up to zero, crosses zero, and tends to its positive value at infinity $\Delta\varphi$. It does not make sense for me and I do not understand how to compute the trajectory from that.    If I compute : $$g\left(r\right) = \int_{r_{0}}^{r} \frac{dp}{p^2\sqrt{\frac{1}{b^2}-\left(1-\frac{r_s}{p}\right)\frac{1}{p^2}}}$$ it starts from $0$, and increase up to $\frac{\pi}{2}+\frac{\Delta\varphi}{2}$.    I would like to compute the trajectory in the $\left(x, y\right)$ plane, so how to use the values of $f\left(r\right)$ or $g\left(r\right)$ to compute the function $y\left(x\right)$ ? Fred and George stumbled upon the Marauder's map in their first year. They passed it on to Harry while in their fifth year. Also note that, while talking to Harry on the train, Ron described Scabbers as being "Percy's old rat".   Hence, we can safely assume that the twins had the Marauder's Map for about five years. How could they not see Peter Pettigrew on the map, with Percy for first two years and with Ron for the next three years?  How come Harry didn't see Peter? How was Lupin the only one able to see Peter on the map? how to get the last character of a string? What material fills the synaptic cleft? Is it water? The synaptic cleft is the gap between the pre-synaptic and post-synaptic neurons, and neurotransmitters are transferred between the neurons within this region. What substance exits in this space, is it water? If so, what force makes the neurotransmitters move toward the receptors despite colliding with water molecules? I have this table but check constraint is throwing me an error:     Column CHECK constraint for column 'MedicamentRegulated' references another column, table 'Medicaments'.   I've seen this as allowed in SQL Server but I don't know why it doesn't work :/  CREATE TABLE Medicaments ( MedicamentID INT NOT NULL IDENTITY(1,1) PRIMARY KEY, Name VARCHAR(50), DateValidity DATE, MedicamentRegulated BIT CHECK((MedicamentRegulated = 1 AND DateValidity IS NOT NULL)    OR MedicamentRegulated = 0) ) As far as I know, current division for spesific place's formula is: Ix=(Req/Rx)*Isource   However, here,the solution is 3/(3+2+4)*6. How is this a current division ? Can you explain this to me