Referencing \mathcal Variables Orally
How to pronounce $\mathcal{E}$?
Advanced search in Google Contacts Is there any way to do perform advanced searches in Google Contacts?  For example, wild card operators, AND operator, OR operator etc?  I want to search anywhere in a name, not just the beginning of a name. (i.e if I write 'ac' it should display Jack as well) How to interpret autocorrelation plot in MCMC I am getting familiar with Bayesian statistics by reading the book Doing Bayesian Data Analysis, by John K. Kruschke also known as the "puppy book". In chapter 9, hierarchical models are introduced with this simple example: \begin{align} y_{ji}   &amp;\sim {\rm Bernoulli}(\theta_j)  \\ \theta_j &amp;\sim {\rm Beta}(\mu\kappa, (1-\mu)\kappa)  \\ \mu      &amp;\sim {\rm Beta}(A_\mu, B_\mu)   \\ \kappa   &amp;\sim {\rm Gamma}(S_\kappa, R_\kappa) \end{align} and the Bernoulli observations are 3 coins, each 10 flips. One shows 9 heads, the other 5 heads and the other 1 head.  I have used pymc to infer the hyperparamteres.  with pm.Model() as model: # define the          mu = pm.Beta('mu', 2, 2)     kappa = pm.Gamma('kappa', 1, 0.1)     # define the prior     theta = pm.Beta('theta', mu * kappa, (1 - mu) * kappa, shape=len(N))     # define the likelihood     y = pm.Bernoulli('y', p=theta[coin], observed=y)      # Generate a MCMC chain     step = pm.Metropolis()     trace = pm.sample(5000, step, progressbar=True)     trace = pm.sample(5000, step, progressbar=True)   burnin = 2000  # posterior samples to discard thin = 10  # thinning  pm.autocorrplot(trace[burnin::thin], vars =[mu, kappa])   My question is regarding the autocorrelation. How shall I interpret autocorrelation? Could you please help me to interpret the autocorrelation plot?    It says as the samples gets further from each other the correlation between them reduces. right? Can we use this to plot to find the optimum thinning? Does the thinning affect the posterior samples? after all, what is the use of this plot? Scale settings for exporting to STL (for 3d printing) How to get method parameter names? Given the Python function:  def a_method(arg1, arg2):     pass   How can I extract the number and names of the arguments. I.e., given that I have a reference to func, I want the func.[something] to return ("arg1", "arg2").  The usage scenario for this is that I have a decorator, and I wish to use the method arguments in the same order that they appear for the actual function as a key. I.e., how would the decorator look that printed "a,b" when I call a_method("a", "b")? What are good learning resources for a LaTeX beginner? Compiling PHP 5.1.6 with PDO MySQL I'd like to user a FIDO2 key to log into Windows 10. There are various guides explaining how to add a key to a Microsoft web account, or to Windows 10 sign in options, but neither result in showing up as an option when I try logging into Windows.  How can I configure windows to use my FIDO2 key to log in? Finding determinant for a matrix with one value on the diagonal and another everywhere else Let us look the the matrix  $\left(\begin{array}{ccccc} a &amp; b &amp; b &amp; b &amp; b\\ b &amp; a &amp; b &amp; b &amp; b\\ b &amp; b &amp; a &amp; b &amp; b\\ b &amp; b &amp; b &amp; a &amp; b\\ b &amp; b &amp; b &amp; b &amp; a \end{array}\right)$  It has one value, $a$, on the main diagonal, and another value, $b$ everywhere else. Let us assume that we are over a ring and that $a$ is invertible.  I wish to find the determinant of every $n\times n$ matrix of this form ($a$ on the diagonal, $b$ everywhere else). Using row and column operations I have managed to transform the matrix to upper-triangular form and found formula for specific cases. Generalizing it I got to the following formula:  $\det(A) = a\left(a-b\right)^{n-2}\left(a+\left(n-2\right)b-\frac{\left(n-1\right)b^{2}}{a}\right)$  I think I can prove it with row-operations in the general case with a little patience.  However, I'm wondering if there is a "smart" way of getting to this formula that I'm missing and if there is a nicer representation of it. Also, what can be said when $a$ is not invertible? (esp. the case where we are over a field and $a=0$). Why are Grothendieck's and Hartshorne's definitions of quasi-coherence equivalent? Hartshorne's Algebraic Geometry defines an $\mathcal O_X$-module $\mathscr F$ to be quasi-coherent if there is an open affine cover $(U_i=\operatorname{Spec} A_i)_{i\in\mathcal I}$ of $X$ such that each $\mathscr F\rvert_{U_i}$ is isomorphic to the sheaf of modules $\widetilde{M_i}$ associated to some $A_i$-module $M_i$. It is later proved that this is equivalent to the statement that for any open affine $U=\operatorname{Spec} A\subseteq X$, there exists an $A$-module $M$ with $\mathscr F\rvert_U\cong\widetilde M$.  On the other hand, Grothendieck's Éléments de Géométrie Algébrique defines $\mathscr F$ to be quasi-coherent if every point $x\in X$ admits an open neighborhood $U\subseteq X$ such that $\mathscr F\rvert_U$ is isomorphic to the cokernel of a morphism of free $\mathcal O_U$-modules.  Now I wonder how those definitions are equal. I tried proving it by myself, but both directions seem quite nontrivial to me... Any hints? I have some music discs, but every time I put it in a jukebox I can't hear it. It says it's playing, my friend (on PS4) says he can hear it, but I don't. All other audio is fine, I can hear the game audio fine, even if I have a world that's only me: it still doesn't produce jukebox sounds. It visually shows that it's playing (the notes come out of the jukebox) but there is no music. I play on Pocket Edition. Can someone help me resolve this issue? How do I change permissions on a FAT32 formatted drive? I am using Microsoft Visual C++ on Windows and Qt Creator on Ubuntu. I can't change permissions on my flash drive (FAT32), even as root.  How can I change permissions on a FAT32 flash-drive? I would like to create a half-turn staircase without a landing. Is there an easy way to accomplish this without having to manually calculate and create each step individually?  Here’s an image similar to what I would like to achive:    I have found the Archimesh add-on including . While I can bend the created stairs, I haven’t found any way to get anywhere close to the image above. My stairs just always look out of shape and I don’t know how to get the outline of the staircase into a square.  I should mention that I only have very little experience with Blender modeling, so it’s well possible that I’m just missing some curve modification basics. Perhaps Archimesh is also the wrong approach for this in the first place? Can a finite group act freely (as homeomorphisms) on $\mathbb R^n$ I am asking if whether or not a finite group acts freely (as homeomorphisms) on $\mathbb R^n$.  To answer in the negative, it suffices to show: for any homeomorphism $f$ such that $f^d=\text{id}_{\mathbb R^n}$, then $f$ has a fixed point.  I am looking for a complete self-contained answer. I am currently writing my thesis and need to include a bunch of email conversions. I am using classicthesis. I wonder, how you would format stacked conversions. Moreover, how would you deal with the email header, signatures and line breaks: why do I need to add \\ all the time? This is the configuration I am currently experimenting with:  \documentclass[ oneside, openright, titlepage, dottedtoc, numbers=noenddot, headinclude, footinclude=true, cleardoublepage=empty, abstractoff, BCOR=5mm, paper=a4, fontsize=11pt, ngerman, american ] {scrreprt}  \PassOptionsToPackage{utf8}{inputenc} \usepackage{inputenc} \usepackage{blindtext}  \usepackage{framed}  % Vertical line that highlights quotations in an email. % Use \begin{leftbar} and \end{leftbar} environment. % Width of the line = 0.4pt % Space between the line and the text = 10pt % Requires \usepackage{framed} \renewenvironment{leftbar}{%   \def\FrameCommand{\vrule width 0.4pt \hspace{10pt}}%   \MakeFramed {\advance\hsize-\width \FrameRestore}}% {\endMakeFramed}  \usepackage{nicefrac} \usepackage[english]{babel} \usepackage[pdfspacing]{classicthesis}  \begin{document} \selectlanguage{ngerman} % american ngerman % Disable paragraph indentation. \setlength{\parindent}{0pt}     \begin{verbatim} From: john.doe@yahoo.com Subject: Your inquiry from 20042012 Date: Thu, 3 May 2012 11:34:54 +0200 To: Jane Doe &lt;jane.doe@hotmail.com&gt; \end{verbatim}  Jane Doe wrote: \begin{leftbar} \begin{leftbar} \begin{leftbar} \begin{leftbar} There are a couple of questions I like to ask. Please forward them if you cannot do so. \end{leftbar} I hope I can answer them after holidays. \end{leftbar} I am back from holidays now and will look through your questionaire the next days. \end{leftbar} Thank you, Mr. Doe - I am awaiting your answers. \end{leftbar}  Dear Mrs. Doe,\\ \ Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut molestie placerat pharetra. In quam leo, tincidunt ut consequat eget, malesuada sit amet urna. Morbi et interdum arcu. Nullam nisi nunc, ullamcorper vitae pulvinar eu, suscipit ut augue.\\ \ Donec risus mi, accumsan ac interdum id, molestie sed mauris. Suspendisse porttitor luctus justo in ullamcorper. Proin in neque magna. Mauris quis arcu eget enim mattis pharetra vitae a dolor. Nam aliquam consectetur mollis. Ut at sem quis dolor faucibus fringilla. Quisque cursus vehicula odio, vitae placerat ipsum dapibus id.\\ \ Best regards\\ John Doe\\ \ (See attached file: Questions\_Doe.doc)  \begin{verbatim} _______________________________________________________ Administration New York John Doe Mainstr. 3 11111 New York  T:        (011) 212-4301 F:            (011) 212-954301 M:         john.doe@yahoo.com \end{verbatim}  \begin{leftbar} My question I looking forward to reading the answers to my questions:\\ \ 1. Is the world analog or digital? \end{leftbar} digital  \begin{leftbar} 2. How long does the world exist?  \end{leftbar} analog since 1984, digital since 1999  \end{document}     This is what the above latex example looks like.    I also saw  but I do not want to use &gt; or colors. My settings are inspired by this  and this . If space of bounded operators L(V,W) is Banach, V nonzero, then W is Banach (note direction of implication) Let $V,W$ be normed vector spaces, and $L(V,W)$ be the space of bounded linear operators. Usually I would only see the statement "If $W$ is Banach, then $L(V,W)$ is Banach.". But  writes that there is a converse: "If $L(V,W)$ is Banach, and if $V$ is non-trivial, then $W$ is Banach". This is pretty interesting since I never seen a converse before. I was wondering if anyone has a nice proof.  I tried reversing the proof for the usual direction, but the inequalities can't be reversed. I also tried to start with a Cauchy sequence in $W$, and construct linear operators (using Hahn-Banach to control the operator norms), but alas I cannot say much about the distance between these operators (much less say that it is Cauchy) Multiple submit buttons in an HTML form Let's say you create a wizard in an HTML form. One button goes back, and one goes forward. Since the back button appears first in the markup when you press Enter, it will use that button to submit the form.  Example:    &lt;form&gt;   &lt;!-- Put your cursor in this field and press Enter --&gt;   &lt;input type="text" name="field1" /&gt;    &lt;!-- This is the button that will submit --&gt;   &lt;input type="submit" name="prev" value="Previous Page" /&gt;    &lt;!-- But this is the button that I WANT to submit --&gt;   &lt;input type="submit" name="next" value="Next Page" /&gt; &lt;/form&gt;     I would like to get to decide which button is used to submit the form when a user presses Enter. That way, when you press Enter the wizard will move to the next page, not the previous. Do you have to use tabindex to do this? Is this a dismissal by hit wicket? Consider the following situation,     A batsman's bat breaks while hitting the ball after which a piece of the   bat flies in the air, hits the stumps and the bails fall down.   Is this a dismissal by hit wicket? Filter "Hot Network Questions" by excluding sites I’m not sure What it is? I’m trying to get a glossy shade to building in my scene as soon as I put roughness to zero I see these trees in glass. I have no trees in my scene anywhere, background is black. Even when I render I see these trees. How can I get rid of them and still keep my glossy building material. Gauss's law not making sense If we have a point charge and outside of it we have a non-conducting Gaussian sphere, then Gauss's law says that the net flux should be zero. I agree that the total field lines coming in are equal to the number of field lines coming out, but isn't it true that the magnitude of the electric field at those segments of the sphere where the field is coming in is greater than those where it is coming out? So when we integrate, wouldn't these areas, having a greater electric field, contribute more to the net flux? I don't see why they would cancel each other out.