What happens if an integer is raised to an imaginary power?
Understanding imaginary exponents
The following code gives me an error:  \documentclass[12pt]{article} \usepackage[margin=2cm]{geometry} \usepackage [english]{babel} \usepackage{amsmath, amssymb} \usepackage{enumitem, array} \begin{document} {\begin{minipage}[t]{\textwidth} \begin{enumerate}[label=(\roman*)] {\setlength\itemindent{10pt}\item  \begin{equation*} \begin{array}{&gt;{\centering\arraybackslash}m{1.5cm}&gt;{\centering\arraybackslash}m{1.5cm}&gt;{\centering\arraybackslash}m{1.5cm}&gt;{\centering\arraybackslash}m{1.5cm}&gt;{\centering\arraybackslash}m{1.5cm}}  \hline x &amp; l_{[x]} &amp; d_{[x]} &amp; l_{x+1} &amp; \mathring{e}_{[x]} \\ \hline \end{array} \end{equation*}} \end{enumerate} \end{minipage}} \end{document}   Note: for various reasons, I have to keep minipage there. For some reason, this code gives me an error when it compiles. It gives the following output:     The errors either say there is a } missing or a $ missing. My eyes don't see such a thing! How do you properly use namespaces in C++? I come from a Java background, where packages are used, not namespaces. I'm used to putting classes that work together to form a complete object into packages, and then reusing them later from that package. But now I'm working in C++.  How do you use namespaces in C++? Do you create a single namespace for the entire application, or do you create namespaces for the major components? If so, how do you create objects from classes in other namespaces? Create line graph with ggplot2, using time periods as x-variable I read a book a while ago ( read many years, maybe a decade ago, it was at least 20 years old then) about a watery planet ruled over by a monstrous overlord sea monster thing.   The hero rallies some of the floating villages to fight the monster and they make iron weaponry out of iron from blood as far as I can remember.   Beyond this I can't remember much about the book, but I'm sure at least one other person out there must have read it.  Edit for more potential details: I think the village folk were reluctant to trust the hero, he was maybe a stranger to them and a lot of them didn't want to upset the status quo.    The iron weapons were maybe to pierce the hide? A harpoon seems familiar, something to trap him with the aid of nets. Can I get back my saved data? Why does holding something up cost energy while no work is being done? How to control the mouse in Mac using Python? What would be the easiest way to move the mouse around (and possibly click) using Python on OS X?    This is just for rapid prototyping, it doesn't have to be elegant. Why is $\alpha \rightarrow \forall x(\alpha)$ not generally correct in first-order logic? Why is $\alpha \rightarrow \forall x(\alpha)$ not generally correct in first-order logic?  i.e., when there are free occurrences of $x$ in $\alpha$, and, on the same point, why is the formula scheme correct when there are no free occurrences of $x$ in $\alpha$? I am trying to help my daughter on her math homework and I am having some trouble on some equation solving steps. My current major concern relies on understanding why $\sqrt{8}/2$ equal to $\sqrt{2}$.  Thanks in advance How do I get from   $$B(\alpha,\beta)=\int_{0}^{1}{ t^{ \alpha -1}  (1-t)^{ \beta -1} \,dt}$$ to:   $$2^{2- \alpha - \beta } \int_{0}^{ \infty}{ \frac{ \cosh (( \alpha - \beta )x)}{( \cosh(x))^{ \alpha + \beta }} \,dx}$$  ? I have tried different change of variables such as $t=1- \frac{1}{ \cosh (x)}$ and got $\int_{0}^{ \infty}{ \frac{ \sinh (x)  ( \cosh (x)-1)^{ \alpha -1} }{( \cosh(x))^{ \alpha + \beta }} \,dx}$ but without success. Clone Method not working I am trying to Clone a lead when certain condition is arrived using before trigger but i am not able to see cloned record.   for( Lead ld : Trigger.new ) {                          if(ld.Integration_Source__c == 'Hubspot' &amp;&amp; Trigger.isUpdate){         Lead LeadBeforeUpd = Trigger.oldMap.get( ld.Id );         if(ld.Program__c != LeadBeforeUpd.Program__c ){            Lead ClonedLead = new Lead();            ClonedLead = LeadBeforeUpd.clone(false, false, false, false);         }     }  } dollar-terminated strings In my assembly language class, our first assignment was to write a program to print out a simple dollar-terminated string in DOS.  It looked something like this:  BITS 32     global _main  section .data     msg db "Hello, world!", 13, 10, ’$’  section .text _main: mov ah, 9 mov edx, msg int 21h ret   As I understand it, the $ sign serves to terminate the sting like null does in C.  But what do I do if I want to put a dollar sign in the string (like I want to print out "it costs $30")?  This seems like a simple question, but my professor didn't know the answer and I don't seem to find it using a google search. Footnote in tabular environment When and how did "pretty" enter English as an intensifying adverb? Today I saw an idiomatic road sign: "Pretty Muddy". I found this lack of strict English on a road sign unusual (on par with my "Dead Slow" official speed limit sign in Leeds, pic below), but as it turned out it's a charity race and the signs were merely directions.  This got me thinking however, how do words like "pretty" and "dead" as   end up in English? Taking "pretty" as an example, when did this first appear?     I wonder how fast you have to be going before they stop you. How would this hold up in court? Is it possible to resize an image in an answer? For example,  has  that should have the image in the answer, but it's too big.  Is there a way to handle resizing? I read in a book &quot;Physics - Resnik and Halliday&quot; the explanation of Type-I Superconductors {cold ones} that:  The Electrons that make up current at super-cool temperatures move in coordinated pairs. One of the electrons in a pair may electrically distort the molecular structure of the superconducting material as it moves through, creating  nearby short-lived regions of positive charge.the other electron in the the pair may be attracted to the positive spot. According to the theory the coordination would prevent them from colliding with the molecules of the material and thus would eliminate electrical resistance  Is this the only explanation or can somebody give me a more intuitive explanation that also takes into the problem of defect scattering as in the case of resistance and also explains the Type-II superconductors {hot ones} P.S. What are &quot;coordinated pairs&quot;? How to change the name of document elements like "Figure", "Contents", "Bibliography", "Appendix", etc.? I'd like to modify the names used to typeset some of my document elements. For example, the caption of figure floats should change from "Figure" to "Fig.", and my \tableofcontents sectioning heading shouldn't read "Contents", but "Table of Contents". How can I do that?  \documentclass{article} % \usepackage[english]{babel} \begin{document} \tableofcontents \section{foo} \begin{figure}[h] \centering \rule{1cm}{1cm}% placeholder for graphic \caption{A figure} \end{figure} \end{document} Do you say IN one of the computers or ON one of the computers? Which is right? How to shrink Windows 7 boot partition with unmovable files I had Windows 7 and Ubuntu installed on the same partition   Some time later, decided to uninstall Ubuntu.So I booted Ubuntu,Changed the hd related to it to NTFS,I did NOT extended my main drive   restarted-> GRUB rescue&gt;. No surprise since I had just wiped out the whole GRUB directory staff   Now I just want to boot into my windows.Move my necessary files to an external memory and reinstall the windows seven     What I have in my hands: Ubuntu live CD, A copy of win7 DVD I tried to make use of the win7 DVD(I had lost my DVD) to fix the mbr but the problem is when I choose repair, It says that this version of Windows is incompatible with yours What should I do?