How to disable lock screen in Windows 10 Home Anniversary Update
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Is the reason why the time evolution operator is unitary based on purely physical arguments, i.e. that the physical processes that an isolated system undergoes shouldn't depend on any particular instant in time (homogeneity of time); thus two experimenters who conduct the same experiment starting from the same initial state, but at different times, should have the same probability amplitude for that state?! Or is there some mathematical argument as well?  Also, is the reason why the time evolution operator is linear implied by the superposition principle (as an arbitrary state can be expressed as a linear combination of basis states the operator should act linearly as otherwise the state as a whole would evolve differently to the superposition of states that it was initially represented by)?! In the answer , the parser breaks my URL link.  The URL was with __word__:      http://www.open-mpi.de/projects/hwloc/doc/v1.2/group__hwlocality__membinding.php#gade5e2c28ea8475a479bf2b1df36c6ccd   After parsing, it becomes (&lt;a href is broken; no clickable link):  hwlocality_membinding.php#gade5e2c28ea8475a479bf2b1df36c6ccd"&gt;http://www.open-mpi.de/projects/hwloc/doc/v1.2/group_hwlocality_membinding.php#gade5e2c28ea8475a479bf2b1df36c6ccd   Short test:  http://example.com/_test_ -> test"&gt;http://example.com/test  Or if I put in a naked URL with _test_ just here: Strange bar plot alignment in Pandas A real nxn matrix always has a real eigenvalue when n is odd what do it mean by "A real nxn matrix always has a real eigenvalue when n is odd?" Shouldnt it be that regardless of odd or even there will always have a real root?  hope to hear from you guys soon:) Upper bound on the number of charts needed to cover a topological manifold If $M^n$ is a compact topological manifold (not necessarily with additional structure), is there an upper bound on the number of charts needed to cover $M$ ? Does this bound depend on the dimension of $M$ ?  Thanks in advance...  Cheers How to recover/reset forgotten Gnome Keyring Password? Let $p &gt; 3$ be a prime such that $p \equiv 2 \pmod 3$. Define the elliptic curve $E$ over $\mathbb{F}_p$ by $y^2 = x^3 + 1$. Prove that $E(\mathbb{F}_p)$ consists of $p+1$ points.  Using Fermat's little theorem you can prove that $x^3 + 1$ is a bijection on $\mathbb{F}_p$. Hence, $$\#E(\mathbb{F}_p) = \#\{(x,y) \in \mathbb{F}_p^2 : y^2 = x^3 + 1\} + \#\{\infty\} = \#\{(x,y) \in \mathbb{F}_p^2 : y^2 = x\} + 1.$$ But then I am stuck trying to prove that $y^2 = x$ has $p$ solutions $(x,y) \in \mathbb{F}_p^2$. Fast way of finding lines in one file that are not in another? limit of integral $n\int_{0}^{1} x^n f(x) \text{d}x$ as $n\rightarrow \infty$ Pie chart labels I want to create a pie chart with labels (one blank an one with percentage for the teacher, the mwe is the teachers version) so that my students have to fill the percentage in by themselves.  So far I created a pie chart using the code given in the answer here    and then I used labels from the code given in the answer here    Now I have this    The node in the violett part is the one I created manually and the other ones are implemented in the code, but I don't know what to change so that the automatic generated ones look like the one I created manually  My MWE      \documentclass[11pt]{article}   \usepackage{tikz} \usetikzlibrary{arrows}  \usepackage{xcolor}  \usepackage[utf8]{inputenc}  \definecolor{rosso}{RGB}{220,57,18} \definecolor{giallo}{RGB}{255,153,0} \definecolor{blu}{RGB}{102,140,217} \definecolor{verde}{RGB}{16,150,24} \definecolor{viola}{RGB}{153,0,153}  \makeatletter  \tikzstyle{chart}=[     legend label/.style={font={\scriptsize},anchor=west,align=left},     legend box/.style={rectangle, draw, minimum size=5pt},     axis/.style={black,semithick,-&gt;},     axis label/.style={anchor=east,font={\tiny}}, ]  \tikzstyle{pie chart}=[     chart,     slice/.style={line cap=round, line join=round, very thick,draw=white},     pie title/.style={font={\bf}},     slice type/.style 2 args={         ##1/.style={fill=##2},         values of ##1/.style={}     } ]  \pgfdeclarelayer{background} \pgfdeclarelayer{foreground} \pgfsetlayers{background,main,foreground}   \newcommand{\pie}[3][]{     \begin{scope}[#1]     \pgfmathsetmacro{\curA}{90}     \pgfmathsetmacro{\r}{1}     \def\c{(0,0)}     \node[pie title] at (90:1.3) {#2};     \foreach \v/\s in{#3}{         \pgfmathsetmacro{\deltaA}{\v/100*360}         \pgfmathsetmacro{\nextA}{\curA + \deltaA}         \pgfmathsetmacro{\midA}{(\curA+\nextA)/2}          \path[slice,\s] \c             -- +(\curA:\r)             arc (\curA:\nextA:\r)             -- cycle;         \pgfmathsetmacro{\d}{max((\deltaA * -(.5/50) + 1) ,1)}           \begin{pgfonlayer}{foreground}         \draw[*-,thin] \c -- (\midA:\r) node[above,near end, pos=\d,pie values,values of \s]{$\v\%$};         \end{pgfonlayer}               \global\let\curA\nextA     }     \end{scope} }  \newcommand{\legend}[2][]{     \begin{scope}[#1]     \path         \foreach \n/\s in {#2}             {                   ++(0,-10pt) node[\s,legend box] {} +(5pt,0) node[legend label] {\n}             }     ;     \end{scope} }   \begin{document}   \begin{tikzpicture} [     pie chart,     slice type={comet}{blu},     slice type={legno}{rosso},     slice type={coltello}{giallo},     slice type={sedia}{viola},     slice type={caffe}{verde},     pie values/.style={font={\small}},     scale=2 ]  \pie{Sommerjobs in Österreich}{52/comet,12/legno,20/sedia,16/coltello}   \legend[shift={(-1cm,-1cm)}]{{Eisverkäufer}/comet, {Schwimmbad}/legno, {Zettelverteiler}/coltello} \legend[shift={(1cm,-1cm)}]{{Kellner}/sedia}     \draw [*-,thin] (0.6,-0.2)  -- (0.7,-0.2 + 0.5ex) -- (2,0.5ex) node[above, near end]{20\%};    \end{tikzpicture}   \end{document} Exporting symbols rather than points in .dxf I have a map I've made in QGIS which is points from a .csv file. These have then be turned into different symbols based on what they represent and then the sizes of said symbols based on values in the .csv.  I need to export this as a .dxf to use in AutoCAD so it basically looks the same as it does in QGIS. However, when I do so it just exports as single dots (points). Is there a way I can export them as the symbols as I can see in QGIS? Cyclic vector implies commuting linear operator is a polynomial Let $T$ be a linear operator on the finite dimensional vector space $V$. Suppose $T$ has a cyclic vector. Prove that if $U$ is any linear operator which commutes with $T$, then $U$ is a polynomial in $T$. How to remove the left part of a string? I have some simple python code that searches files for a string e.g. path=c:\path, where the c:\path part may vary. The current code is:  def find_path(i_file):     lines = open(i_file).readlines()     for line in lines:         if line.startswith("Path="):             return # what to do here in order to get line content after "Path=" ?   What is a simple way to get the text after Path=? I can say "I feed someone". Am I forced to say "I give someone a drink", or is there a single word for this (as in "I [verb] someone")?  Unfortunately my thesaurus can't really help me. How to see the full date on macOS Big Sur? Thunar files view, date format "today, yesterday" Idea behind proof that $\frac{21n+4}{14n+3}$ is irreducible for all $n$ I have a proof of $\frac{21n+4}{14n+3}$ being an irreducible fraction for any positive integer $n$. The proof starts with the following: Indeed, from the equality: $$2(21n+4)-3(14n+3)=-1$$ and so on..But how does this equality follow from the fraction? How do I simulate in Photoshop what a piece will look like when printed on non-white paper? I'm designing a box in Photoshop that will be offset printed on unbleached paper. I haven't picked out a printer yet, so I don't know the exact kind of paper I'll be using and don't have access to it for proofs. For now I'm using a lightly-textured layer of tan color as a placeholder to mock it up.  What I'm trying to figure out is, how do I figure out how my design will look printed on natural paper rather than bleached white paper? I know that the brightness will be diminished and the hue will be altered, but I need to know how much so I can compensate for it as much as possible.  Is there a way to get at least a rough but reliably-simulated idea of how my prints will come out? Does it have to do with blend modes, or color separations? I'm at a bit of a loss here. Book ID: Astronauts and Lab Students can create portals through space Desperate to locate and re-read exceptional book/series, but cannot remember the title. The high concept: The U.S. has just sent the first successful expedition to Mars, and it has just landed. As the astronauts make their initial exploration outside their ship, a tear in the fabric of space opens up right in front of them, and they look through to the insides of a laboratory (at a California university?) and two students who just figured out how to create arbitrary portals between two points in the Universe. The rest of the novel/series is a consequence of this breakthrough. But I can't remember the author and title(s). Surely someone reading this forum will remember it well! TIA.  (Reposted .) When I have equations, as in  \begin{equation} ... \end{equation}   Can I arbitrarily assign the numbers to the equations? Instead of the usual order (1), (2), (3), ..., I'd like something like (1), (2.1), (2.2), (2.3), (3.1), (3.2), (4), ...