Can anyone help me please? Don't know where to start since the numerator looks complicated. Thanks!
I'm not sure how to go about this. Does it involve using MVT?  I got as far as saying $e = \frac{e^x - e^y}{x-y}$.
How to make a declaration from a command? There are two forms of setting the type style: the declarative method e.g, \itshape and the command form, e.g, \textit. The command form takes an argument whereas the declarative form does not --- it just applies itself to whatever comes afterwards.  I would like to develop a declarative form, say \UppercaseIt, of the command form \MakeUppercase{&lt;text&gt;}. I have read, in source2e.pdf on CTAN the code for implementing \textit, \itshape and \MakeUppercase and can't claim that I understand any of them. I am after something like {\UppercaseIt some text} instead of \MakeUppercase{some text}.  I only have a code outline of what I'm after, since I don't know how to do it:  \documentclass{article}  \newcommand{\UppercaseIt}{%   %... magic }  \begin{document}  \MakeUppercase{some text}% Yields SOME TEXT  {\UppercaseIt some text}% Should yield SOME TEXT  \end{document} How do I find out a name of class that created an instance of an object in Python if the function I am doing this from is the base class of which the class of the instance has been derived?  Was thinking maybe  might have helped me out here, but it doesn't seem to give me what I want. And short of parsing the __class__ member, I'm not sure how to get at this information. This is something that always annoys me when putting an A4 letter in a oblong envelope: one has to estimate where to put the creases when folding the letter. I normally start from the bottom and on eye estimate where to fold. Then I turn the letter over and fold bottom to top. Most of the time ending up with three different areas. There must be a way to do this exactly, without using any tools (ruler, etc.). I have a formula in a cell which counts the values in 2 other cells. Normally, after entering in the values in these 2 other cells, the formula cell updates automatically when Enter is pressed or when the cells are clicked out of.  However, for some reason, the value calculated by the formula does not update automatically. I am having to click on the formula bar, then I have to click enter for the formula cell to do its thing.  Why is this happening? I always thought of current as the time derivative of charge, $\frac{dq}{dt}$. However, I found out recently that it is the ampere that is the base unit and not the coulomb. Why is this? It seems to me that charge can exist without current, but current cannot exist without charge. So the logical choice for a base unit would be the coulomb. Right? Why can't I transform faces, edges, or vertices without transforming the whole object? Why do some tests have a (nonzero) minimum score? "Same as I do" or "same as I have" She has the same book as I have.  Isn't it supposed to be She has the same book as I do?  But I often hear the former.  Why? I've got a directory shared on my network, using Samba. People on the netwerk use this Samba share to download files from my share to their computers. I'm interested in what files are downloaded most, and by which users they are downloaded. I'd like to see this in real time, if possible. Is there a program that allows me to do this? If yes, how can I use it?    I'm using Ubuntu 11.10. US Election results 2016: What went wrong with prediction models? First it was , now the US election. Many model predictions were off by a wide margin, and are there lessons to be learned here? As late as 4 pm PST yesterday, the betting markets were still favoring Hillary 4 to 1.  I take it that the betting markets, with real money on the line, should act as an ensemble of all the available prediction models out there. So it's not far-fetched to say these models didn't do a very good job.  I saw one explanation was voters were unwilling to identify themselves as Trump supporters. How could a model incorporate effects like that?  One macro explanation I read is the rise of . The question then is how could a statistical model capture a macro trend like that?  Are these prediction models out there putting too much weight on data from polls and sentiment, not enough from where the country is standing in a 100 year view? I am quoting a friend's comments. '₴' is a currency sign used for the Ukrainian Hryvnia. It's in Unicode since 2004. I want to use it in spreadsheets as a sign for money values, but Google Spreadsheets doesn't understand it as a number if I add it after or before my value in the cell. How do I make Google Spreadsheets understand it's currency and display it as a number in my desired format? Term to describe users' initial dislike of user interface change What is the best term to describe the fact that most users have an initial dislike of any change to a UI even though it may really be net better over time?  Note: Question originally appeared What is the mechanism behind the slowdown of light/photons in a transparent medium? So light travels slower in glass (for example) than in a vacuum. What causes light to slow down? Or: How does it slow down? If light passes through the medium, is it not essentially traveling in the "vacuum" between the atoms? I cannot respond to comments on my own question (no "add a comment" link anywhere) I joined a new community and asked a question ()  People are commenting &amp; asking questions, but I cannot answer them back. Even "Comment Everywhere" privilege requires 50 reputations and I have 101 reputations.  Am I missing something? PHP calculating number of days between 2 dates Biblatex 3.3 name formatting I would like to create a custom format for citing authors' names in the text, let's call it "newformat". One option I can think of is creating a new bibmacro for names where the parameters are changed to my liking, such as   \documentclass{article}    \usepackage{filecontents}   \usepackage[backend=biber]{biblatex}[2016/01/01] %the latest version of biblatex?   % biber is version 2.4; the latest?  \begin{filecontents}{\jobname.bib} @misc{Doe12,   author = {Doe, John},   year = {2012},   title = {A macro for formatting names}, } \end{filecontents}  \addbibresource{\jobname.bib} \nocite{*}  \newbibmacro{name:newformat}{\printnames{authors}} \DeclareNameFormat{newformat}{%   \usebibmacro{name:newformat}{\textbf{#1}}{\textbf{#3}}{#5}{#7}%   \usebibmacro{name:andothers}% }  \begin{document}    \section*{Testing the format here}    I am citing   \citename{Doe12}[newformat]{author}    \printbibliography % to make sure that the .bib file is properly formated.  \end{document}   Here, I just used \textbf for the sake of the example, but I ultimately want to use other functions, say upper case or palindrome!  However, I get this weird error message:  ! Illegal parameter number in definition of \blx@defformat@d. &lt;to be read again&gt;                     3 l.20   \usebibmacro{name:last}{#1}{#3                                      }{#5}{#7}%   which seems to indicate that the second option {#3} is not expected. I am a bit at a lost here; I checked the biblatex package and \usebibmacro{name:last} must be given 4 parameters, isn't it? Please advise. When is $2^n -7$ a perfect square? This came up while solving another ENT problem. I want to ask when is: $$2^n -7 \text{ where } n\geq 3$$ a perfect square? Specifically, I also wanted to know what would be the solutions when $n$ is odd? How should I solve this?  I can check that $n=3, 4, 7$ are solutions but cannot find more. As it is of the form $4k+1$, it doesn't help as well. Subtracting from a specific column Poll in background for StackExchange™ MultiCollider SuperDropdown™ inbox events and update the titlebar accordingly à la Facebook Is a   select *  from myView   faster than the query itself to create the view (in order to have the same resultSet):  select * from ([query to create same resultSet as myView])   ?  It's not totally clear to me if the view uses some sort of caching making it faster compared to a simple query.