Sequence of continuous functions which converges to a continuous limit
Uniform convergence for sequences of functions
I am unable to find the link for downloading Ubuntu 16.04 onto my   desktop/laptop. I am able to see the link only for 18.04, but I need 16.04. Can anyone explain how Windows effectively limits the CPU?  Last time I tried some tricks to let my laptop not overheat, so I tried limiting the CPU to 70%.   As for my suprise it stopped my laptop from overheating - even when launching CPU intensive applications which caused my laptop to overheat and shut down, didn't overheat my laptop anymore!  I looked at task manager but the "CPU intensive" application still uses ~95% of CPU and the windows task manager shows a total of 100% CPU usage.  I have limited the CPU usage here ("plugged in" option was on 70% [both min and max] when testing the CPU intensive application):    How does Windows do this magic?   I see 100% CPU usage yet my CPU does not overheat. And I do not see any performance differences.  Does Windows limit the CPU speed? Like, if I have a 2.4 GHz processor, on 70% it will only have 1.68 GHz when limited? How is this possible (changing the CPU speed)? I thought you can only underclock when in BIOS?  If not, how does Windows accomplish this if not by changing the speed?    Side question: If it's about the speed, is there a way to set the CPU max state to 200% ? using a class defined in a c++ dll in c# code I have a dll that was written in c++, I need to use this dll in my c# code. After searching I found that using P/Invoke would give me access to the function I need, but these functions are defined with in a class and use non-static private member variables. So I need to be able to create an instance of this class to properly use the functions. How can I gain access to this class so that I can create an instance? I have been unable to find a way to do this.   I guess I should note that the c++ dll is not my code. Getting a closed form from $\sum_{i=1}^{n-1} \sum_{j=i+1}^{n} \sum_{k=1}^{j} 1$ I just wrote code for this, and I got it a little bit ugly. Can you help me to fix this. And how to change those nands for not, like it is on nand 3,4,5? Please help!  PS. What I mean by these nands for not or whatever this is When to use an interface instead of an abstract class and vice versa? This may be a generic OOP question. I wanted to do a generic comparison between an interface and an abstract class on the basis of their usage.   When would one want to use an interface and when would one want to use an abstract class? I have used the package nomencl. In my code I have incorporated the \nomenclature as well. But when I compile, it is not showing me any results. My code is :  \documentclass[pdftex,12pt,a4paper]{report} \usepackage{nomencl} \makenomenclature \begin{document} ---page numbering and other things included----- \include{symbols} -----others--- \end{document}   symbols.tex  \chapter*{NOTATIONS} \addcontentsline{toc}{chapter}{Notations} \nomenclature{$G_e$}{Equivalent Shear Modulus} \printnomenclature   Shall I use \nomenclature while explaining the chapter. Will It give me the same results? like  \documentclass[pdftex,12pt,a4paper]{report} \usepackage{nomencl} \makenomenclature \begin{document} ---page numbering and other things included----- \include{symbols} \include{chap3-calculate_w} -----others--- \end{document}   symbols.tex  \chapter*{NOTATIONS} \addcontentsline{toc}{chapter}{Notations} \printnomenclature   chap3-calculate_w.tex  \chapter{SETTLEMENT RESPONSE OF GEOSYNTHETIC REINFORCED GRANULAR FILL SOFT SOIL} \label{chap:W} \section{INTRODUCTION} In this thesis, the methodology to determine an  Equivalent single layer shear modulus \nomenclature{$G_e$}{Equivalent Shear Modulus},$G_e$ value for a...etc   I am not getting the output in both these. Can someone help me with this? Wrong numeration in toc longer then one page I tried anything I could find with \cleardoublepage and \newpage and so on; mostly they use \addcontentsline. I don't need to use it as listof=totoc already puts it into the toc so even if I use \addcontentsline instead I get the same result.  \documentclass[     fontsize=11pt,     DIV10,     ngerman,     paper=a4,      twoside=false,     titlepage,     parskip=half,     listof=totoc,     bibliography=totoc,     index=totoc,     captions=tableheading,     foottotes=multiple,     final ]{scrartcl}  \usepackage[     automark,     headsepline,     ilines ]{scrpage2}  \usepackage[ngerman]{babel} \usepackage[babel,german=quotes]{csquotes} \usepackage[dvips]{graphicx}  \begin{document}  \ofoot{\pagemark} \pagenumbering{Roman} \clearpage \tableofcontents \clearpage \listoffigures \clearpage \pagenumbering{arabic} \section{Test} \label{sec:Test}  Test  \subsection{Test} \label{sec:Test}  \begin{figure}[H]  \centering \caption{Testfig} \label{fig:testfig} \end{figure}  \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test} \subsection{Test} \label{sec:Test}  \end{document} How can I make realistic looking potions as handouts mysqli bind_param for array of strings How to get hardware specs of Android device? Given this HTML:  &lt;div&gt;foo&lt;/div&gt;&lt;div&gt;bar&lt;/div&gt;&lt;div&gt;baz&lt;/div&gt;   How do you make them display inline like this:     foo bar baz   not like this:     foo   bar   baz When, where and **how often** do you find polynomials of higher degrees than two in mathematical, pure/applied, research? A formula for solving a polynomial of degree three, see  link; $ax^3+bx^2+cx+d=0$, is  $$\begin{align} x\quad&amp;=\quad       \sqrt[3]{           \left(               \frac{-b^3}{27a^3} + \frac{bc}{6a^2} - \frac{d}{2a}           \right)            +                 \sqrt{               \left(                   \frac{-b^3}{27a^3} + \frac{bc}{6a^2} - \frac{d}{2a}               \right) ^2                 +                \left(                   \frac{c}{3a} - \frac{b^2}{9a^2}               \right) ^3            }       }\\       &amp;+\quad       \sqrt[3]{           \left(               \frac{-b^3}{27a^3} + \frac{bc}{6a^2} - \frac{d}{2a}           \right)            -                 \sqrt{               \left(                   \frac{-b^3}{27a^3} + \frac{bc}{6a^2} - \frac{d}{2a}               \right) ^2                 +                \left(                   \frac{c}{3a} - \frac{b^2}{9a^2}               \right) ^3            }       }       \;-\;\frac{b}{3a} \end{align}$$     Unlike quadratic, cubic, and quartic polynomials, the general quintic   cannot be solved algebraically in terms of a finite number of   additions, subtractions, multiplications, divisions, and root   extractions, as rigorously demonstrated by Abel (Abel's impossibility   theorem) and Galois. However, certain classes of quintic equations can   be solved [...] Source:    At levels of $5^{\text{th}}$ degree polynomials, things are starting to look really serious in my eyes. My question is:     If it is possible to not answer subjectively: When, where and how often do you find polynomials of higher degrees than two in mathematical, pure/applied, research? JMeter : How to record HTTPS traffic? Retrieve the position (X,Y) of an HTML element relative to the browser window Which is the correct sentence?   The young cow is calf. The young cow is called calf. The young cow called as calf. How to get client's IP address using JavaScript? I need to somehow retrieve the client's IP address using JavaScript; no server side code, not even SSI.  However, I'm not against using a free 3rd party script/service. Understanding Bash's Read-a-File Command Substitution I am trying to understand how exactly Bash treats the following line:  $(&lt; "$FILE")   According to the Bash man page, this is equivalent to:  $(cat "$FILE")   and I can follow the line of reasoning for this second line. Bash performs variable expansion on $FILE, enters command substitution, passes the value of $FILE to cat, cat outputs the contents of $FILE to standard output, command substitution finishes by replacing the entire line with the standard output resulting from the command inside, and Bash attempts to execute it like a simple command.  However, for the first line I mentioned above, I understand it as: Bash performs variable substitution on $FILE, Bash opens $FILE for reading on standard input, somehow standard input is copied to standard output, command substitution finishes, and Bash attempts to execute the resulting standard output.  Can someone please explain to me how the contents of $FILE goes from stdin to stdout? Does name of sitemap file that Wordpress generates matter? How does tangzhong (water roux) make bread softer? As I understand it, tangzhong in relation to bread making is an Asian technique in which a portion of the flour in the recipe is pre-cooked with water to make a roux, before being cooled and added to the rest of the ingredients. It is supposed to make the resulting bread very soft, often for days longer than non-tangzhong breads. I thought maybe it works by binding the proteins so gluten development is restricted, but I'd have thought that would inhibit rise, which seems not to be an issue.  Disclaimer: I have not yet made a tangzhong bread, but I believe I have eaten a few... My first attempt is currently doing a bulk rise.  How does tangzhong work exactly? How does it actually change the dough to achieve the distinct softness for which it is so famous?