So I'm flying in from Ottawa, in Canada, and I have a 1 hour 3 minute "layover" between flights. Is this enough time? I booked through Expedia and it's both with United Airlines and I believe it'll be on one ticket because it's the same itinerary. I am not checking luggage, and as of tonight (flight is tomorrow morning), the gate I arrive at is F17 and I depart from F5. These are on the same terminal, but will I have enough time? I know the travel distance between the gates isn't bad at all as they're in the same big hallway, but I'm worried about customs/immigration time since I'm coming in from international.   I've never flown before and I'm worried about how long that would take. I heard that they give you customs forms to fill out on the plane, but I don't know if that would speed things up much. My plane is small (only 50 people) so I also don't think getting off the plane should take too long, but I do need to wait around for my carry on to be given back to me because it's "gate-checked" because it's a United Express flight and the overhead probably won't be able to fit it.  I apologize if this is just me being paranoid, but I want to make sure.
My grandparents bought a flight on United Airlines, as the one and same ticket, from Toronto, to ORD with one 55-minute layover, then to Maui. :     You won’t need to pay extra for airfare if you miss the flight, but on the other hand, you will most likely not be compensated by the airline for the incurred delay. It always depends on the amount of time, the reason for the delay and the airline’s policies. As soon as it’s weather-related, you won’t be getting a penny (and that’s normal: airlines can’t control the weather).    Yet they obviously prefer to avoid such charges from missing the 2nd flight.   Please see the titled question? Would they need to hotfoot or scamper from one gate to another, to not miss the 2nd flight? If yes to 2, can they request an airport electric shuttle cart now, before the flight?
Enlarged partition, filesystem still reports old size How to prove the Fibonacci sum $\sum \limits_{n=0}^{\infty}\frac{F_n}{p^n} = \frac{p}{p^2-p-1}$ Can anyone show me how to find invertible elements in $\mathbb{Z}/m\mathbb{Z}$, $m$ is say $28$?  Also I'm not very clear about what it mean by 'invertible element in $\mathbb{Z}/m\mathbb{Z}$' The  is minimal and clean on a fresh installation of Windows. Install a bunch of applications and soon the context menu is loaded with all kinds of opening options from various applications.  How do I remove items from the right click (context) menu?  I find that there are different types of right click menu items:   Global items that appear in all context menus. Items that appear only on folders. Items that appear only on files. Items that appear only on special folders (Ex: Right clicking a folder of MP3s shows up a context menu with items like Play with Windows Media Player.) Items that appear only on certain file types (Ex: Right clicking a MP3 file shows up a context menu with items from Windows Media Player/Foobar2000/VLC/your-favorite-media-player begging to open this file.)   I want to be able to delete all these kinds items from the right click (context) menu. Can a smaller sensor's "crop factor" be used to calculate the exact increase in depth of field? If APS-C and similar crop-sensor digital cameras have a focal length multiplying effect such that a 50mm lens has an apparent focal length closer to the field of view of an 80mm on a full frame camera, and yet at the same time the depth of field for the smaller sensor camera is more like the depth of field a 50mm lens would produce on a full frame camera (using the same aperture), then this would seem to suggest the concept of an "aperture dividing effect."  In other words, a 50mm f/1.8 lens on an APS-C camera would act more like a 80mm f/2.8 (approx. 1.8 * 1.6x) lens in 35mm equivalent — for depth of field, not considering exposure.  Can someone with a better understanding of the physics involved clarify this for me.  I've never seen this concept explicitly mentioned anywhere, so I am a bit suspect of it. For all $x,y\in\mathbb{R}$   define that $x\equiv y$   if $x^{2}=y^{2}$  . Then $\equiv$  is an equivalence relation on $\mathbb{R}$  , there are infinitely many equivalence classes, one of them consists of one element and the rest consist of two elements.  Solution  True. To show that \equiv  is reflexive we need to show that \forall x\in\mathbb{R}  :x=x.  Let x\in\mathbb{R}  , x\equiv\mbox{\ensuremath{x}}  if x^{2}=x^{2},   which is obvious.  [x]  ={y\in\mathbb{R}  |x\equiv y}  =[0]={y\in\mathbb{R}|0\equiv y}={0}  . Hence y^{2}  =0^{2}   =0   which implies that y=0  . Calculating a spherical polygon centroid Atiyah-Macdonald, Exercise 8.3: Artinian iff finite k-algebra. Atiyah Macdonald, Exercise 8.3. Let $k$ be a field and $A$ a finitely generated $k$-algebra. Prove that the following are equivalent:   (1) $A$ is Artinian.   (2) $A$ is a finite $k$-algebra.   I have a question in the proof of (1$\Rightarrow$2): By using the structure theorem, we may assume that $(A,m)$ is an Artin local ring. Then $A/m$ is a finite algebraic extension of $k$ by . Since $A$ is Artinian, $m$ is the nilradical of $A$ and thus $m^n=0$ for some $n$. Thus we have a chain $A \supseteq m \supseteq m^2 \supseteq \cdots \supseteq m^n=0$. Since $A$ is Noetherian, $m$ is finitely generated and hence each $m^i/m^{i+1}$ is a finite dimensional $A/m$-vector space, hence a finite dimensional $k$-vector space.  But now how can I deduce that $A$ is a finite dimensional $k$-vector space? Differences Between Row Echelon and Reduced Row Echelon Let $$A =\begin{bmatrix} 1&amp;3&amp;-6&amp;2\\5&amp;12&amp;-24&amp;7\\9&amp;15&amp;-30&amp;6\end{bmatrix}$$  $$RREF(A) =\begin{bmatrix} 1&amp;0&amp;0&amp;-1\\0&amp;1&amp;-2&amp;-1\\0&amp;0&amp;0&amp;0\end{bmatrix}$$ $$REF(A) =\begin{bmatrix} 1&amp;3&amp;-6&amp;2\\0&amp;1&amp;-2&amp;1\\0&amp;0&amp;0&amp;0\\\end{bmatrix}$$  Now, provided this information, it can be found that the basis for the nullspace of $A$ using the $RREF(A)$ is: $$\begin{pmatrix} \begin{bmatrix} 0\\2\\1\\0 \end{bmatrix}, \begin{bmatrix} 1\\-1\\0\\1 \end{bmatrix}\end{pmatrix}$$  Using the $REF(A)$ the "basis" for the nullspace is:  $$\begin{pmatrix} \begin{bmatrix} 6\\2\\1\\0 \end{bmatrix}, \begin{bmatrix} -2\\-1\\0\\1 \end{bmatrix}\end{pmatrix}$$  Is the "basis" that I provided for the $REF(A)$ actually a basis? How does the  $REF$ and $RREF$ of a matrix differ? During the First Wizarding War, why didn't Dumbledore just hunt Voldemort down, as he had done with Grindelwald?  By 'hunting down', I mean finding, defeating and imprisoning him, exactly as in Gridelwald's case, and not, say killing him, something which Dumbledore would not do, as the answers to a previous question (as to him not hunting down Death Eaters) show.  Dumbledore knew that Voldemort had delved into the Dark Arts deeper than anyone else in history and hence "had powers he will never have". But he must have also known well that he could have defeated Voldemort at a direct confrontation, given that he had defeated Grindelwald earlier even against the Elder Wand, and now had that same wand at his disposal. He is seen confident about this throughout the series.  At the Battle of the Department of Mysteries, he did not go beyond outweighing Voldemort and forcing him to flee, probably because, by then, he had reasons to suspect that there was more to Voldemort's survival than his physical body, and thus, destroying that body which had Harry's blood without permanently disposing him off would not have been wise.  But why did he not do that at the First Wizarding War? Is it just that they could not track him down, or did he suspect even then that Voldemort had more sinister things about his soul? is there any canon confirmation of the latter suspicion? Find Documents in MongoDB whose with an array field is a subset of a query array We're trying to debug some applications performing broadcast.  What is the difference between the broadcast address 255.255.255.255 and as e.g. reported by ifconfig,  Bcast:192.168.1.255 How to get all Perfect or Near-Perfect Matchings of a graph In a project the customer wants the images of the WMS to be secured against unauthorized access.   What are the common solutions to realize that?   Are they compatible with the OGC-standards? Looking for a Simple Argument for "Integral Curve Starting at A Singular Point is Constant" Let $U$ be an open subset of $\mathbf R^n$ and $V:U\to\mathbf R^n$ be a differentiable vector field on $U$. Let $\mathbf p\in U$ be a singular point of $V$, that is, $V(\mathbf p)=\mathbf 0$.     Then the only integral curve which starts at $\mathbf p$ is the constant curve.   I know that one could simply use the theorem of "uniqueness of integral curves" and in fact adapt the same proof for this particular case.  But is anybody aware of a simple argument for this? How to watch videos in Amazon Prime Instant Video? I need to make my (BibTeX) references section appear in the table of contents of my LaTeX document (documentclass: article), with section numbering too.  My approach until now has been making a new section and including the bibliography (references.bib) at that point:  \section{References} \bibliography{references}   However, the final document shows both the section title that I have written and the section title that BibTeX writes, which is quite redundant and I definitely dislike.  How can I either remove BibTeX's section title, or make the BibTeX bibliography appear in the table of contents without making a new section?  If I were to make the BibTeX bibliography appear in the table of contents without making a new section, how could I assure that the section title that BibTeX writes looks exactly like sections typeset with \section? I'm aware that this one is far from yes or no question, but I'd like to know which techniques do you prefer in categorical data analysis - i.e. cross tabulation with two categorical variables.  I've come up with:    &chi;2 test - well, this is quite self-explanatory  Fisher's exact test - when n &lt; 40, Yates' continuity correction - when n > 40,  Cramer's V - measure of association for tables which have more than 2 x 2 cells, &Phi; coefficient - measure of association for 2 x 2 tables, contingency coefficient (C) - measure of association for n x n tables, odds ratio - independence of two categorical variables, McNemar marginal homogeniety test,   And my question here is: Which statistical techniques for cross-tabulated data (two categorical variables) do you consider relevant (and why)? How do I install and manage RPMs? I have been attempting to solve this integral for several days in preparation for an exam and keep reaching dead ends.  I(a,b) = $\int_0^{\pi/2} \ln(a^{2}\cos^2(x)+b^{2}\sin^2(x)) dx$, where $a,b&gt;0$  My best approach so far is defining:  $F(x) = I(x, b)$  Then, I know:  $F(b) = I(b, b) = \pi/2 * \ln(b^2)$  Then I am now attempting to find $F'(x)$ using differentiation under the integral sign, and integrating from b to a.  This is where I am stuck - no matter what I do, I cannot solve the integral. Am I in the right direction or should this be solved in a different manner? I also considered something elliptical due to the acos, bsin in the original integral, yet it has also reached a dead end.