If the conductor 'CD' rotates in clockwise direction in the figure, voltage will be induced on it. What will be the polarity of the voltage on terminal of the conductor 'CD' when the conductor rotates in clockwise direction according to the right hand rule.   If the conductor CD rotates in counterclockwise direction what will be the polarity of the conductor 'CD' on its terminnal? Will it be same like when the conductor was moving in clockwise direction or will be opposite that that according to the Fleming's right hand rule?   ?
When the loop is the figure shown below will be rotated in clockwise direction the the slip ring connected to the red segment of the loop will give us the positive voltage and the slip ring connected to the black segment of the loop will give us negative voltage according to the Flemings right hand rule.  What if the loop is rotated in counter clockwise direction ? Will the slip rings provide us the same polarities which they were giving when the loop was moving clockwise ?  Plus  The voltage from the loop is given by the equation.  V(t) = Vmaximum * sin (theta)  Where theta is the positive angle the red segment makes in the clockwise direction or in counter clockwise direction from this position ?
Checking if array is multidimensional or not? What is the most efficient way to check if an array is a flat array of primitive values or if it is a multidimensional array? Is there any way to do this without actually looping through an array and running is_array() on each of its elements? Solution for A/C Condensate Drain Line that doesn't require emptying a bucket of water every day? I get this error:  Can't locate Foo.pm in @INC  Is there an easier way to install it than downloading, untarring, making, etc? How did they post process before Photoshop? I want to display the pages 'famous' and 'mschief'.  Using this code, WP_query() doesn't return any result:  $args = array( 'post_type' =&gt; 'page', 'pagename' =&gt; 'famous,mschief', 'posts_per_page' =&gt; 3 );   This code returns one of the 2 pages:  $args = array( 'post_type' =&gt; 'page', 'pagename=famous,mschief', );   And this code returns the 2 pages correctly:  $args = array( 'post_type' =&gt; 'page', 'pagename=famous,mschief', 'posts_per_page' =&gt; 3 );   Why does the first piece of code (the only correct one to me) doesn't work? And why the two others produce these results? I have this problem where I can't built slide documents with beamer every time I include a math environment as simple as $\mu = A$. The log file posts this message at the end:  !pdfTeX error: miktex-pdftex.exe (file mathkerncmssi10): Font mathkerncmssi10 a t 657 not found  ==&gt; Fatal error occurred, no output PDF file produced!   I understand that the file (mathkerncmssi10) that is apparently missing is part of the package sansmathaccent, but the package is already there and updated.  This is driving me crazy, I would appreciate any help.    Sure, I tried this with several examples. I can post this one  \documentclass{beamer} \usepackage[latin1]{inputenc} \usetheme{Warsaw} \title[Make a LaTeX presentation using Beamer]{Introduction  to Beamer\\How to make a presentation with LaTeX?} \author{Nadir Soualem -- Astozzia} \institute{Math-linux.com} \date{Jule 13, 2007} \begin{document} \begin{frame} \titlepage \end{frame} \begin{frame}{Introduction} This is a short introduction to Beamer class. $\mu=A$ \end{frame} \end{document}    By the way, it turns out that I just tried this one in another PC and works fine. Hello and I'm quite new to Math SE.  I am trying to find the largest consecutive sequence of composite numbers. The largest I know is:  $$90, 91, 92, 93, 94, 95, 96$$  I can't make this series any longer because $97$ is prime unfortunately.  I can however, see a certain relation, if suppose we take the numbers like (let $a_1, a_2, a_3,...,a_n$denote digits and not multiplication):  $$a_1a_2a_3...a_n1,\ a_1a_2a_3...a_n2,\ a_1a_2a_3...a_n3,\ a_1a_2a_3...a_n4,\ a_1a_2a_3...a_n5,\ a_1a_2a_3...a_n6,\ a_1a_2a_3...a_n7,\ a_1a_2a_3...a_n8,\ a_1a_2a_3...a_n9,\ a_1a_2a_3...(a_n+1)0$$  The entire list of consecutive natural numbers I showed above can be made composite if:   The number formed by digits $a_1a_2a_3...a_n$ should be a multiple of 3 The numbers $a_1a_2a_3...a_n1$ and $a_1a_2a_3...a_n7$ should be composite numbers   If I didn't clearly convey what I'm trying to say, I mean like, say I want the two numbers (eg: ($121$, $127$) or ($151$, $157$) or ($181$, $187$)) to be both composite.  I'm still quite not equipped with enough knowledge to identify if a random large number is prime or not, so I believe you guys at Math SE can help me out. I was on the tube and overheard a dad questioning his kids about maths.  The children were probably about 11 or 12 years old.   After several more mundane questions he asked his daughter what $1/0$ evaluated to. She stated that it had no answer. He asked who told her that and she said her teacher. He then stated that her teacher had "taught it wrong" and it was actually $∞$.  I thought the Dad's statement was a little irresponsible.  Does that seem like reasonable attitude? I suppose this question is partly about morality. I have just updated to Minecraft 1.7.4 and now all of a sudden there are barely any mobs spawning.  I checked to make sure that I was in normal difficult and I saw 1 creeper but that is all.  Also I tried different difficulties. Another thing - mobs seem to to spawn normally in the nether and all other mobs except aggressive mobs spawn like they should.  Please if you know how to fix this, please help! braces on the sides of an easybmat matrix I created the following matrix with , and I would like to add at the bottom (respectively right) something like an underbrace (resp. "rightbrace") under each of the two blocks, together with a number specifying the number of columns (resp. rows) of the block. This amounts to two braces on the bottom and two on the right, and each brace should have a number below (resp. at the right) of it.  I did not find anything about that on the easybmat manual. I think I see how to do the braces with the  package, but then I am not able to create the block structure of the matrix in the first place.  \documentclass{article} \usepackage{easybmat} \begin{document} \[  M(z)= \left[ \begin{BMAT}[5pt]{c|c}{c} \begin{BMAT}[5pt]{c:c:c}{ccccccc} &amp; &amp; \\ &amp; &amp; \\ &amp; &amp; \\ v_1 &amp; \dots &amp; v_m \\ &amp; &amp; \\ &amp; &amp; \\ &amp; &amp; \end{BMAT} &amp; \begin{BMAT}{c}{c|c} \begin{BMAT}[5pt]{c:c:c}{ccc} &amp; &amp; \\ w_1(a) &amp; \dots &amp; w_n(a) \\ &amp; &amp; \end{BMAT} \\ \begin{BMAT}[10pt]{c}{c} B(z) \end{BMAT} \end{BMAT} \end{BMAT}  \right] \] \end{document}     This is more or less what i wish: When I add the picture, the word and pdf is the full page and the Latex moves to the right of the page. How can I solve this problem?  this is my work. this is my work and pdf link: https://we.tl/t-cgDSwDuu8H  I couldn't stop the pictures from sliding right. What should I do to make the image look like the original PDF file? If I reduce the scale of the picture is centered but this time it becomes very small.  Is a situation caused by page margins?  \documentclass [12pt, a4paper]{article} \usepackage{color} %\usepackage[turkish]{babel} \usepackage{graphicx} \usepackage{tabularx} \usepackage{multirow} \usepackage{graphicx} %\usepackage[pass,showframe]{geometry} %\usepackage[T1]{fontenc}  \begin{document}  \definecolor{renkbir}{RGB}{0,32,96}  \begin{tabular}{ m{8,5cm} m{6cm} } \Large{\textbf{MsdasdasdN }} \large{\textbf{\textcolor{renkbir}{Firma Adı }}} &amp;\small {Uçak Mühendisi \newline T.C No: asd \newline asd \newline asd \newline asd} \end{tabular} \ %Uçak mühendisi Tc No kısımını sağa yaslamak istedim fakat yapamadım.  \begin{center} \large{\textbf{\textcolor{renkbir}{KİŞİSEL BİLGİLER}}} \end{center}  \begin{center} \begin{tabular}{ l l r } Ad &amp; Mehm &amp; \multirow{9}{*}{\includegraphics[scale=0.15]{2.pdf}} \ Soyad &amp; asdasd \ Doğum Tarihi &amp; sanane (23 Yaşında) \ Adres &amp; asd \ Telefon &amp; asd \ Mail &amp; asd \ Sigara Kullanımı &amp; Hayır \ Ehliyet &amp; B \ Askerlik &amp; Tecilli (31.12.2020) \ \end{tabular} \end{center}  %\vspace{1cm} Burası boşluk bırakma komutu.  \begin{center} \begin{tabular}{ m{4cm} m{6cm} m{5cm} } \multicolumn{3}{c}{\large{\textbf{\textcolor{renkbir}{EĞİTİMLER}}}} \ \hline \multirow{2}{}{Üniversite(YL)} &amp; asd \newline Makine Mühendisliği \newline Özel Öğrenci / Türkçe \newline Durumu : Devam ediyor &amp; \multirow{2}{}{Eylül 2018 / } \ \hline \multirow{2}{}{Üniversite} &amp; asd \newline Uçak ve Uzay Bilimleri Fakültesi \newline Uçak asd \newline Örgün Öğretim / İngilizce \newline Durumu : Mezun &amp; \multirow{1}{}{Ekim 2013 / Haziran 2018} \ \hline \multirow{1}{}{Lise} &amp; asd \newline Anadolu Lisesi (100 / 90,02) &amp; \multirow{1}{}{Ekim 2013 / Haziran 2018} \ \end{tabular} \end{center}  \begin{center} \begin{tabular}{ m{3cm} m{4cm} m{4cm} m{4cm} } \multicolumn{4}{c}{\large{\textbf{\textcolor{renkbir}{YABANCI DİLLER}}}} \ \hline \textbf{İngilizce} &amp;\textbf{Okuma:} İyi &amp;\textbf{Yazma:} İyi &amp;\textbf{Konuşma:} Orta \ \end{tabular} \end{center}  \begin{center} \begin{tabular}{ m{5cm} m{5cm} m{5cm} } \multicolumn{3}{c}{\large{\textbf{\textcolor{renkbir}{BİLGİSAYAR BİLGİLERİ}}}} \ \hline \multicolumn{3}{l}{Donanım - Ofis Programları} % donann ofis koyu yazmak istedim yapamadım. \ Ms Excel &amp; Çok İyi &amp; +5 Yıl \ MS Word &amp; Çok İyi &amp; +5 Yıl \ Ms Powerpoint &amp; Çok İyi &amp; +5 Yıl \ \hline \multicolumn{3}{l}{Yazılım Geliştirme} % donann ofis koyu yazmak istedim yapamadım. \ Office &amp; Orta &amp; 2-3 Yıl \ Matlab &amp; Orta &amp; 2-3 Yıl \ Phyton &amp; Orta &amp; 0-1 Yıl \ Fortran &amp; Başlangıç &amp; 0-1 Yıl \ C++ &amp; Başlangıç &amp; 0-1 Yıl \ Ansys &amp; Başlangıç &amp; 0-1 Yıl \ Miktex &amp; Başlangıç &amp; 0-1 Yıl \ \hline \multicolumn{3}{l}{Bilgisayar Destekli Tasarım} % donann ofis koyu yazmak istedim yapamadım. \ SolidWorks &amp; Orta &amp; 2-3 Yıl \ AutoCAD &amp; Orta &amp; 0-1 Yıl \ \end{tabular} \end{center}  \begin{figure} \includegraphics[width=\linewidth]{2.pdf} \end{figure}  \begin{figure} \includegraphics[scale=1]{2.pdf} \end{figure}  \end{document}   Latex SS is here:  PDF SS is here: How long is it safe to drink coffee after brewed? doGet and doPost in Servlets After update to OS X 10.11 I started having these bugs:   Finder sidebar text flashing  Very high CPU load:      I have Macbook Pro Retina 13" Mid 2014  I reset NVRAM.  I deleted com.apple.finder.plist, it didn't help.  Also I did this: , no longer flashes. How do I install pepper-flash on Chromium? I have Chromium web browser on my Lubuntu 13.04 (pre-installed).  I use LX Terminal (pre-installed) to write commands. I am trying to download flash player on Chromium using instructions on this :  sudo add-apt-repository ppa:skunk/pepper-flash   After typing in my password, this worked. Now   sudo apt-get update   I didn't need to type in my password, as I continued on the same terminal, but got W:/ and E:/ fetch file errors  sudo apt-get install pepflashplugin-installer   I continued on the same terminal despite the fetch file errors... and they said pepflashplugin-installer could not be found.  Is the last error because of fetch file errors, or because I need to download pepflash-plugin-installer somewhere? Or is it because of something else?  I cannot download the Chrome browser, and not looking to use flash player on my Firefox web browser (installed using lubuntu software center). Please be kind, I am an electronics nub.  This is in reference to getting an LED to emit photons.  From what I read (Getting Started in Electronics - Forrest Mims III and Make: Electronics) electrons flow from the more negative side to the more positive side.  In an example experiment (involving a primary dry cell, a SPDT switch, a resistor and an LED) it states that the resistor MUST be connected to the anode of the LED.  In my mind, if the electrons flow from negative to positive, wouldn't the electron flow run through the LED before the resistor; thereby making the resistor pointless? What if the LHC doesn't see SUSY? A question in four parts.   What are the main problems which supersymmetry purports to solve?  What would constitute lack of evidence for SUSY at the proposed LHC energy scales (e.g. certain predicted superpartners are not in fact observed)?  Are there alternative theoretical approaches which would address the SUSY problem set and which would still be credible in such an LHC no-SUSY-scenario? Where would LHC-disconfirmation of SUSY leave String Theory?   I would like to think that these four points could be taken together as one question. Remove all attributes from html tags I've recently been learning about differential equations, and my teacher has been giving some particularly difficult examples out for those of us who finish early. He gave us the following differential equation: $$x=y\frac{dy}{dx}-\left(\frac{dy}{dx}\right)^{2}$$ With the hint "Differentiate with respect to $y$, then let $\frac{dy}{dx}=p$". I've solved it after the lesson and would like someone to check whether or not I've done so correctly.    Following the hint, $$\frac{dx}{dy}=\frac{1}{p}=p+y\frac{dp}{dy}-2p\frac{dp}{dy}$$ Which rearranges to $$p-\frac{1}{p}+y\frac{dp}{dy}=2p\frac{dp}{dy}$$ Multiplying through by $\frac{dy}{dp}$, $$\left(p-\frac{1}{p}\right)\frac{dy}{dp}+y=2p$$ Rearranging into the form $\frac{dy}{dp}+f(p)y=g(p)$, and writing $p-\frac{1}{p}=\frac{p^{2}-1}{p}$ $$\frac{dy}{dp}+\frac{p}{p^{2}-1}y=\frac{2p^{2}}{p^{2}-1}$$ Our integrating factor is $$e^{\int\frac{p}{p^{2}-1}dp}=e^{\frac{1}{2}\ln(p^{2}-1)}=\sqrt{p^{2}-1}$$ So we have $$\sqrt{p^{2}-1}\frac{dy}{dp}+\frac{p}{\sqrt{p^{2}-1}}y=\frac{2p^{2}}{\sqrt{p^{2}-1}}$$ The left hand side is, by design, $\frac{d}{dp}(y\sqrt{p^{2}-1})$, and the right hand side can be integrated as follows: $$\int \frac{2p^{2}}{\sqrt{p^{2}-1}}dp=\int\frac{2(p^{2}-1)+2}{\sqrt{p^{2}-1}}dp=\int 2\sqrt{p^{2}-1}dp+\int \frac{2}{\sqrt{p^{2}-1}} dp$$ These can both be solved using the substitution $p=\cosh(u)$, and gives $$y\sqrt{p^{2}-1}=p\sqrt{p^{2}+1}-\cosh^{-1}(p)+\alpha$$ Where $\alpha$ is an arbitrary constant. Dividing, we finally have $$y=p+\frac{\cosh^{-1}(p)+\alpha}{\sqrt{p^{2}-1}}$$  Here I was stuck for a long time, until I realised that we also have the equation we began with: $x=py-p^{2}$, which we can solve as a quadratic in $p$ to also get $$p=\frac{y\pm \sqrt{y^{2}-4x}}{2} \implies p^{2}=\frac{y^{2}+y^{2}-4x \pm 2y\sqrt{y^{2}-4x}}{4}$$  Thus, $$y=\frac{y\pm \sqrt{y^{2}-4x}}{2}+\frac{\cosh^{-1}\left(\frac{y\pm \sqrt{y^{2}-4x}}{2}\right)+\alpha}{\sqrt{\frac{y^{2}-2x \pm y\sqrt{y^{2}-4x}}{2}-1}}$$  This is as good as I can do - we have a relation between $y$ and $x$ - am I done? Is this the correct answer? Is there an easier way?     Thank you for your time.    Following the suggestion by @Valentin $$\frac{dy}{dp}=1+\frac{\frac{1}{\sqrt{p^{2}-1}}\sqrt{p^{2}-1}-p\frac{\cosh^{-1}(p)+\alpha}{\sqrt{p^{2}-1}}}{p^{2}-1}=1+p\frac{1-\frac{\cosh^{-1}(p)+\alpha}{\sqrt{p^{2}-1}}}{p^{2}-1}$$ Hence, $$dx=\frac{dy}{p}=dp\left(\frac{1}{p}+\frac{1-\frac{\cosh^{-1}(p)+\alpha}{\sqrt{p^{2}-1}}}{p^{2}-1}\right)$$ I am new to Ubuntu, but I believe I have Ubuntu 11.10 installed correctly.  I am trying to install Acroread using AdbeRdr9.4.6-1_i386linux_enu.deb that I downloaded from the Adobe web site.  How do I do this?