For a given fixed perimeter p, what will be the width of a Norman window in order to maximize its area?
Norman Window Optimization
I live in a town where fresh or whole milk is not readily available. I was wondering if I could make cheese from UHT Milk. If so, what kind of cheese and what method I should use? Or rather, Should I? Surfing the web anonymously What is the best, fastest, safest way to surf the web anonymously, and how much anonymity can you really achieve? biblatex: Handling secondary ("quoted in") citations This question and the answer became part of a package:      How can I qoute secondary quotes which I’ve taken form another book.  Example  Jon Doe writes a book an cites Fred Bloggs in it. Now I read the book of Doe an want to cite his cite of Bloggs. So my bibliography entry must look like     Bloggs, Fred: A nice old book, 1850, p. 35. Quoted in Doe, John: A bad new Book, 2011, p. 67.   Doe’s book should not be listed separately in the bibliography.  I know that there’s a bibstring quotedin containing “quoted in” (p. 159 of biblatex’s manual) but I don’t know if theres a (predefined) way to use it …  Update  It seems that there’s no predefined way, so I decided to use userc for crossreferences like this. This works for the bibliography but not for cite commands. At the moment I create the “in text cite” manually.  It would be great to have a macro like  \QIautocite[&lt;prenote a&gt;][&lt;postnote a&gt;]{&lt;author a&gt;}[&lt;prenote b&gt;][&lt;postnote b&gt;]{&lt;author b&gt;}   that expands to the above given example.  That’s my new code, which gives the right results for bibliography and “in text cite” but the latter not automatically …  \RequirePackage{filecontents} \begin{filecontents}{\jobname.bib} @BOOKLET{autora,   title = {A nice old book},   userc={autorb},   author = {Fred Bloggs},   year = {1850}, } @BOOKLET{autorb,   title = {A bad new book},   author = {Jon Doe},   year = {2011}, } \end{filecontents}  \documentclass[ngerman]{scrartcl}  \usepackage[T1]{fontenc} \usepackage[latin1]{inputenc}  \usepackage{babel,csquotes,blindtext}  \usepackage[%     bibstyle=authortitle,     citestyle=verbose-ibid, ]{biblatex} \addbibresource{\jobname.bib}  \NewBibliographyString{bibcitedas} \DefineBibliographyStrings{german}{%   bibcitedas = {{zitiert als}{zit. als}}, }  % Put the 'quoted in text' behind the bibentry. \renewbibmacro*{finentry}{%   \ifbibliography{%     \iffieldundef{userc}{}{%       \newunit\bibstring{quotedin}\addspace\fullcite{\thefield{userc}}     }   }{}%   \finentry% }  \begin{document} \blindtext \begin{quotation}     \blindtext\footnote{\cite[36]{autora}. Zit. nach \cite[89]{autorb}} \end{quotation} \blindtext\footnote{\cite[36]{autora}. Zit. nach \cite[89]{autorb}}  \printbibliography \end{document}   Example 2  In addition to my comment (Hi @Audrey. This works fine :-) but theres a little thing …) on Audrey’s answer:  If I use the quotecite command like this  \quotecite[1]{reese}[5]{weinberg} \quotecite[1]{reese}[5]{weinberg} \pagebreak \quotecite[1]{reese}[5]{weinberg} \quotecite[1]{reese}[5]{weinberg}   the footnotes should look like       1 Reese [full cite], p. 1. Zit. nach Weinberg [full cite], p. 65   2 Ebd.   ———— page break ————   3 Rese [short cite], p 1. Zit nach Weinberg [short cite], p. 65   4 Ebd.   Everything works like expected except footnote 3 which is     3 Rese [short cite], p 1. Zit nach Weinberg [full cite], p. 65     at the moment  Update 2  Since it seems not possible to react to autocite I created a new plain command with  \DeclareMultiCiteCommand{\quoteciteplain}[\cbx@qcwrapperplain]{\cbx@quotecite}{\cbx@qcdelim}  \newrobustcmd{\cbx@qcwrapperplain}[1]{%   \global\toggletrue{cbx@isquote}%   #1%   \global\togglefalse{cbx@isquote}%   \global\togglefalse{cbx@iflastibid}%   \global\togglefalse{cbx@ifquoteepost}%   \global\togglefalse{cbx@ifquoterpost}} What is the value of $\sum\limits_{i=1}^\infty\dfrac{1}{p_{p_i}}$ where $p_n$ is the nth prime (and so $p_{p_n}$ is the $k$th prime, where $k$ is the $n$th prime) ?  Thus $\frac{1}{3}+\frac{1}{5}+\frac{1}{11}+...=$ ??  How do I efficiently decide if $\sum_{i=1}^\infty\dfrac{1}{p_{p_i}}\gt1$ is true without using a computer ?  I assume this infinite sum is an irrational number. Has this already been proven ? Checking incoming call in iphone Android SQLite database: slow insertion I always wondered on what algorihm the best league of mine is chosen.    I am in the 0.16% of this quarter. That is rank 171 this quarter. But I am also ranked 113th this month.  Why is the stat for the quarter displayed when I have a better ranking in the month? Show that $\frac{\sin x}{\cos 3x}+\frac{\sin 3x}{\cos 9x}+\frac{\sin 9x}{\cos 27x} = \frac{1}{2}\left(\tan 27x-\tan x\right)$ Where can I find historical data on flights, specifically Delta international flights?  I need to find out about cancellations, diversions and any other flight data pertaining on particular route at a given time.  This source has to be official and stand up to legal scrutiny. Why does the product topology allow proper subsets for only finitely many elements? Why don't we feel the subtle speed change of Earth's elliptical orbit? Earth's orbit is a slight ellipse, so to conserve momentum its speed increases when it is closest to the Sun. If the speed changes there is an acceleration. If there is an acceleration there is a force. Even if the change is small and gradual, wouldn't we experience a force because the Earth is so massive? I am looking for an example of a sequence which shows that, $a_{n+1} - a_n \to 0$ as $n \to \infty$ does not imply that sequence $a_n$ converges. I have a feeling that the sequence should be an oscillatory one but I am unable to think of an example. The sign in the formula for the voltage across the inductor This question is about voltage induced in a inductance.  I know the rate of change of current induces EMF in the inductor. The direction of the induced EMF will be opposite to the change that is causing it. The EMF induced is given by the following formula.  $$V_l = -L \frac{dI}{dt}$$  The negative sign indicates direction of induced emf across the coil is opposite the current change.     In the picture I have drawn current direction and \$V_l\$ direction.  If \$\dfrac{dI}{dt}\$ is postive, \$V_l\$ will be negative according to formula right? Or does the direction of \$V_l\$ has to be reversed?  In many Internet references I found \$V_l = L \dfrac{dI}{dt}\$. Which one is correct?  I hope they reversed \$V_l\$ reference points and removed the negative sign in the formula. Please clarify. ADC0808 IC working correctly occasionally I am using  for a project on converting analog signal to digital signal. It has an inbuilt multiplexer using which we have to provide an analog signal to one of the pin. However what happens is ;  Sometimes it latches to a particular value say 1000000 and remains at there no matter how many times Start of Conversion is pressed which should set the inner counter to 0.  Sometimes it gives slightly wrong output off by 100 or 1000 and when I press Start of conversion, it gives correct output, so its not reliable every time.  And most seriously , Suppose the control for multiplexer according to Datasheet are such that input pin 1 should be active, instead, it works only when the input is given to pin 5 for one particular IC and pin 3 for other. I have been trying to fit it in logic since 3 days however each day some new error happens. I have replaced it twice from my college lab and now the technician doesn't want to replace it anymore . What is amiss here ? I recall :    It was one that I knew could use a bit more spit and polish, but I didn't have the inclination or energy to edit it myself, so I skipped it.  I wander my way over to  (10K only), and look at the listing...    ...so, when did I approve this again? I skipped the question; that doesn't mean I gave my tacit approval, does it?  Seems like the dashboard needs to agree with the suggested edits view. ''More than one row returned by a subquery used as an expression'' postgres error Does driving an microcontroller's GPIO when it is powered off weaken the chip? We are using the  in a project. The way our design is now, the IC's GPIO pins will sometimes be driven high (to 3.3V) or low when it is powered-off. Will this weaken the chip? The absolute maximum ratings state the voltage on any digital I/O pin is -0.3V to VSupply+0.3V. If the answer is no, could the IC be weakened during power up?  The LTC5800-IPM does not have the most detailed datasheet. If it is not clear for that device in particular, I'd be interested to know for CMOS microcontroller GPIOs in general. Double line spacing With $x+y\ge z$ $(x,y,z\ge0)$, prove that: $$\frac{x}{1+x}+\frac{y}{1+y}\ge\frac{z}{1+z}$$  I'm aware that using analytic view this is easy since $f(x)=\frac{x}{1+x}$ is concave in $[0,\infty)$. However I want to prove it using merely algebraic techniques. Is that possible? Is it logically correct to assert that the expectation of the momentum $$\langle \hat p \rangle=0$$ for any bound state because it is bound to some finite region? What is the physical interpretation of the fact that $$\langle \hat p \rangle=0$$ in an energy eigenstate $\psi_n(x,t)$  but $$\langle \hat p \rangle\neq0$$ in some superposition state $$\psi(x,t)=c_m\psi_m(x,t)+c_n\psi_n(x,t)~?$$ Here $\psi_n(x,t)$ the eigenstates of the Hamiltonian, for example, in the problem of particle in a box (say).