Correct words order in the sentence
Position of the adverb "substantially"
Is there a way to see my previous performances with respect to winter-bash? May be something like leagues for winter-bash? I understand that hats are different each year, but at least it would be nice to see the number of hats collected. Let's start with a definition:     Definition: Let $F$ be a field, $I$ a nonzero ideal in $F[x]$, and $g(x)$ an element of $F[x]$. Then, $I= \langle g(x)\rangle$ if and only if $g(x)$ is a nonzero polynomial of minimum degree in $I$.   Now it gets completely foggy what is meant with "minimum degree".I constantly come across the "minimal polynomial". This seems to be linked, but it seems strange that there is a division here.   Could someone give a pointer to what the second line actually means. Maybe some example or diagram (if possible) would help a lot here. Show a,b,c congruences when $a^2+b^2=c^2$ i would like to know how to prove that if $a^2+b^2=c^2$ then   a) $3|a$ or $3|b$  b) $5|a$ or $5|b$ or $5|c$  c) $4|a$ or $4|b$   Also that $a^2+b^2+c^2+1$ can't be divisible by 8  Thank you very much! This issue happens only on UEFI systems with enabled Secure Boot.  When I try to install DKMS modules like VirtualBox, Nvidia, or Broadcom drivers, they do not install and I get Required key not available when I try to modprobe them.  VirtualBox complains that vboxdrv is not loaded.  Broadcom wl driver is shown in lspci -k as a kernel module but is not in use. sudo modprobe wl throws Required key not available.  Also this issue may happen when I install some kernel modules from git sources.  This issue may appear after a kernel update as disabled wireless adapter, black screen after a reboot, etc.   How can I fix it? How do I get HTML5 h.264 Video working on Firefox? According the the , h.264 video should now be working in Linux.  It does also say the appropriate gstreamer plug-ins need to be installed.  Does anyone know what these are?    I used this  and the  to verify that h.264 support works in Google Chrome on my Ubuntu 12.04 64-bit, but does not work on Firefox 26. Has there been any progress made on granting a developer account for SF and HubExchange Devs? It feels conceptually wrong to me a SF product doesn't allow developers to perfect and develop a wider solution offering without paying +10K license fee per year. Even without CRM the HubExchange market could be a richer portal for consumers and developers if we were allowed a means to test our concept.  I think we'd all be perfectly happy with an account that was blackholed or limited in such a way where we could only send a finite qty of emails to an email address associated to the user.  If there's a forum or avenue where we can assist in raising the value proposition please let us know as I know there are many people looking. Why is . not in the path by default? On UNIX-like systems over the years (most relevantly to me, Linux), I've noticed that . (current dir) is never in the $PATH by default.  Why is this?  I recall reading years ago that it was a security problem, but the article I read didn't explain what exactly the problem was.  Is it because someone could leave a malicious version of ls or cp in a directory, and I'd end up running it without realizing it was there? I washed and dried my passport by mistake, do I need a new one? Around two years ago I washed and dried my passport by mistake at the laundry room. My ID, my old US student visa and my stamps from european countries are still readable but the pages are not "flat" anymore and the front cover is kind of erasing (some parts of the Brazil symbol is gone).   In April I'll travel to US for a conference, I'll need to get a new US visa (B1/tourism visa) but I'm worried if my passport is not "good to go" anymore because it was "washed and dried". Apparently there is an electronic chip in it and I don't know if it is still working.  Should I get a new passport or can I save some money and time and use this one? It expires only in 2019. how do we know the BBP formula for $\pi$ is valid? I recently read about the Bailey–Borwein–Plouffe formula for calculating the $n^{\rm th}$ digit of $\pi$. I'm curious to how can we be sure that the formula is always accurate or correct?! Even if we can verify for every $\pi$ digit discovered till now with a "standard formula", how do we know that the formula is correct after those digits?  Also, what's the implication of these kind of BBP formulas for other "divine"/fundamental constants? can we learn anything else about the value of such constants and our universe through these? Any insight into the "supreme fascist" mind? How to pronounce decimals? Something like:  0.1 0.23 0.999   How to pronounce them correctly in English? Every closed subset $E\subseteq \mathbb{R}^n$ is the zero point set of a smooth function Is there a way to disable certain Windows 7 keyboard shortcuts?  Specifically, in this case, I want to disable Alt+Space and WinKey+Space. In simple terms, what is the purpose of flush() in ostream Remove HTML tags from a String Is there a good way to remove HTML from a Java string? A simple regex like replaceAll(&quot;\\&lt;.*?&gt;&quot;, &quot;&quot;)   will work, but things like &amp;amp; wont be converted correctly and non-HTML between the two angle brackets will be removed (i.e. the .*? in the regex will disappear). Consider an isosceles triangle. Let r be the radius of the circumscribed circle and p be the radius of the inscribed circle. Prove that the distance d between the centers of these two circles is $$d = \sqrt{r(2p-r)}$$ React on global hotkey in a Java program on Windows/Linux/Mac? A Java6 application sits in the system tray. It needs to be activated using a hotkey (e.g. Super-G or Ctrl-Shift-L etc) and do something (e.g. showing an input box).  How do I do that on:   Windows (XP or Vista) OS/X Linux (Gnome or KDE) My wife wants a 4th baby, but I don't My wife wants a 4th baby, but I don't.  We have been talking about it for the last few days (talking strongly).   I have raised points such as:   We will get less time to spend with our current kids. The age gap between the first and the last will be too wide. It will cost more money. She will be out of work longer. We will need a bigger house. And we don't even have our own house yet (we are still renting). We will have to start again. Sleepless nights, nappies, feeding, new cot, car seat, etc etc.   She says:   She feels like she is missing something. She has always wanted a large family. Things will be the same regardless of having 3, or 4 kids. She agrees that money will be tighter, but wants to push through it.   Our current kids are 9 months, 2 years, and 4 years. We are young married couple (25), and I have a fairly decent job.  What would be the pros and cons of having another child?   How can we rationally talk to the other about having/or not having another child?  And what should we do if we cannot agree? Elsarticle - Abstract two columns wide I am currently trying to create an article in elsarticle style, twocolumn. The title and text end up in two columns, the abstract however is made two columns wide. Any ideas what I am doing wrong? Obviously I want my abstract to also be only in the first column.  \documentclass[a4paper,10pt,twocolumn,preprint]{elsarticle}  \usepackage{lipsum}  \journal{TexExchange}   \begin{document}     \begin{frontmatter}       \title{Two-column abstract}       \begin{abstract}         \lipsum[1]      \end{abstract}       \begin{keyword}        abstract      \end{keyword}    \end{frontmatter}   \section{Outline}    \lipsum[2-3]  \end{document} How can I make the map::find operation case insensitive? Local translations in curved spacetime A global Poincare transformation on a scalar field induces  $$\delta(a, \lambda)\phi(x) = [a^{\mu}+\lambda^{\mu\nu}x_{\nu}]\partial_{\mu}\phi(x). \tag{11.46}$$  In curved spacetime we replace $a^{\mu} \rightarrow \xi^{\mu}(x)$, but I read that in fact this new spacetime dependent parameter $\xi^{\mu}$ eats up the effect of the "orbital part of global Lorentz", so that in fact $\xi^{\mu}(x)=a^{\mu}(x)+\lambda^{\mu\nu}(x)x_{\nu}$, and we effectively have to treat $\xi^{\mu}$ and $\lambda^{ab}$ (the spin part of Lorentz) as the basis for gauge transformations.  I don't understand why this should be, any comments that might help? Why does the new local translation parameter include the effect of what globally used to be rotations/boosts?  References:   D.Z. Freedman &amp; A. Van Proeyen, SUGRA, 2012; p. 225.