refresh web-page on iPad orientation change
What is the best method of re-rendering a web page on orientation change?
SF novel -- the only human on a space station full of aliens Some things I remember:   Pretty sure the author was female The novel had won some award or other The title was one word (I think) and it started with "I" (I think) It would have come out in the mid to late 90s or early 2000s It was a paperback or trade paperback, in English.  The book was originally written in English as far as I know. The cover, if I remember correctly, had an orangish background.   The plot involved a sole human representative to what was effectively an alien "United Nations" type of organization.  There were myriad types of aliens, many of whom were completely biologically incompatible.  Even the ones that could live in the same conditions generally found each other either repugnant or incomprehensible.  The main character ended up feeling incredibly lonely and was "set up" with a superficially similar humanoid female, but found their pheromones were incompatible and it was still difficult to communicate. For what natural numbers is $n^3 < 2^n$? Prove by induction Problem  For what natural numbers is $n^3 &lt; 2^n$?  Attempt @ Solution   For $n=1$, $1 &lt; 2$ Suppose $n^3 &lt; 2^n$ for some $n = k \ge 1$ It looks like the inequality is true for $n = 0$, $n = 1$ and $n\ge10$ But, how can I prove this through induction? Why $\dim U+\dim U^\perp=\dim V$? CASE WHEN with GROUP BY I have a table that looks like this (oversimplified case of the actual case to make my point)  CREATE TABLE sales (    id int,    currency VARCHAR(5),    price int    shop_id int );   Now I need to make a query that will give me something like this table, grouping by shops yet giving sum of sales per currency My problem is when I make currency column non aggregate it fails because my query becomes non standard. When I add currency to group by then each currency creates new row, something I don't want. I have run out of option and would appreciate any help or pointer to the right direction.  I use MySQL but would appreciate if I would get the solution that works with more databases (PostGreSQL being at the top of the list after MySQL)  Query that works with undesired results  SELECT   shop_id,           (CASE WHEN currency= "GBP" THEN SUM(price) ELSE 0 END) AS POUND,           (CASE WHEN currency= "USD" THEN SUM(price) ELSE 0 END) AS USDOLLAR GROUP BY shop_id, currency   The data that should be produced by the query  shop_id     |   POUND   |   USDOLLAR     -----------------------------------------     1       |   400     |   300 -----------------------------------------     2       |   250     |   100 -----------------------------------------     3       |   400     |   100 ----------------------------------------- How to develop RPG Damage Formulas? Currently questions are added in a rapid pace to SO, so that new questions disappear very quickly from the homepage. It I want to see questions from my areas of interest I can do either:   Go to the tagged/my tags page, but then I will see the questions only according to the votes Supply a list of tags "x or y or z", but it seems the list is limited to 15 or 20 tags.   What I suggest is to have categories as grouping of tags - the .net category , java category , web development category , etc. It can also help new users to locate questions from their area of expertise they can answer. We can decide that a category can contain between 5 and 20  tags in order no to have too narrow or too broad categories (numbers were given just for the sake of argument) pfsense more than 2 isp provider is it possible to bridge more than 2 isp provider using pfsense? what router or device can bridge 2 or more isp providers in a router? i am planning to bridge at lease 5 isp providers to create a very good internet connection, what can i do to link all 5 providers in 1 router? I need help to find the Galois Group of $x^5 +1$. I know that it has a 5-cycle and a 4 cycle and is not a subgroup of $A_5$. Thanks! Play YouTube videos with MPMoviePlayerController instead of UIWebView My multimeter is rated to 600V.  How can I readily (and safely) use it to measure higher voltages? laptop fails to suspend or hibernate (wakes up after 2-5 seconds without user interaction) Money/Assets/Property that is earned through unethical sources is   called ?   Money that is earned through bad sources like corrupted politics, corrupted business, ransom money, stolen or theft money. What is such money called?  Is it bad money, black money. What is one particular name for it? Tikz /.style with two parameters How do I pass two parameters to a tikz style?  I would like to do something like this:  \begin{tikzpicture}[     transformer/.style={draw, cylinder, gray!80, rotate=90, minimum height=#1, minimum width=#2},   And then, I want to use this style in a node:  \node [transformer{2.3cm}{1cm}] () at (0,0.6) {}; What does the dot mean On my reelbox (running Ubuntu) I have found a file in /etc/init that contains the following  # frontpanel-pre - check for frontpanel CAPs and adjust time #  description     "check frontpanel caps"  #start on starting mountall #start on tty-device-added DEVNAME=/dev/ttyS0  task  script         (         /sbin/dev_frontpanel.sh         /sbin/reelfpctl -capability         ) &gt; /dev/.frontpanel.caps         initctl emit --no-wait frontpanel-linked end script   I wonder if the dot in /dev/.frontpanel has some special meaning in linux  I thought the output of the commands in the brackets will be written to a file called ".frontpanel.caps" in /dev/ but there is no such file. In /dev/ there is a frontpanel which is a link to /dev/ttyS0  Could it be, that e.g. echo something &gt; /dev/.frontpanel.caps actually sends data (something in this case) to /dev/frontpanel ?  What does .caps do then? How to play DVDs in Ubuntu 16.04? ARMA/GARCH estimation in sequence I have a time series that shows a nonstationary seasonal autoregressive component as well as known heteroshedasticity. In order to model the series, I have fit a seasonal ARIMA model for the mean with the auto.arima model in the forecast package in R and a GARCH model on the residuals of the ARIMA model.   Is the procedure of sequentially estimating ARIMA and GARCH model correct or would it have been better to jointly model the mean and the variance of the series? If this were correct, is there a (possibly R) function to do it? Does there exist a magical shell piping which would allow easily to grep through bunch of .gz log files without needing to extract them somewhere?  .gz files are Apache logs, result of log rotation. I'd like to quickly check how often certain URIs are accessed in the past. When should I upgrade my camera body? As the question says, when should I upgrade my camera body? In particular, if I have a low- to mid-range body (A DSLR such as a Nikon D3200 or Nikon D5100, or Canon SL1 or T5, or a mirrorless camera such as a Panasonic GH3 or an Olympus E-PL6). How do I know when I need to upgrade?  I have a complement of "kit" lenses, such as an 18-55mm f3.5-5.6 and a 55-200mm f4-5.6. Maybe I've even added a 50mm 1.8 to the kit. Flash is only for indoors (right?) and I usually shoot outside, so that means I don't need an external flash.  I shoot photos of my family and friends whether out at the park or having a picnic, my kids sports practices and games, vacation photos, as well as some landscapes, flowers, and whatever else catches my eye. Pretty familiar territory. I'm not a professional and don't intend to become one. Let $x$ be a real number such that $x &gt; 0$. Prove that x +$\frac {1} {4x}  ≥ 1$.   Not really sure on the correct way to approach it/is valid and could use some help.  Answer:  Proof Strategy: Proof by cases:   $x = 1$ $x &gt; 1$ $x &lt; 1$   --  Case 1: $x = 1$  $x+\frac1{4x}$  $= (1) + 1/(4(1))$  $= 1.25 \ge 1$  Case is true  Case 2: $x &gt; 1$, in this case $x = 2$.  $x+\frac1{4x} $  $= (2) + 1/(4(2))$  $= 2.125 \ge 1$  Case is true  Case 3: $x &lt; 1$, in this case $x = 0.5$.  $= (0.5) + 1/(4(0.5))$  $= 1  \ge 1$  Case is true  Since all possible cases were satisfied therefore $x+\frac1{4x} \ge 1 $ when $x &gt; 0$. Prove that $\lim_{n\to\infty}a_n\le \lim_{n\to\infty}b_n$ Theorem  Let $\{a_n\}$ and $\{b_n\}$ be convergent real sequences. Assume that there exists a $N\in\mathbb{N}$ so  $a_n\le b_n$ (eq. 1)  for all $n\ge N$. Then  $\lim_{n\to\infty}a_n\le \lim_{n\to\infty}b_n$.  My attempt at proving  Let $a=\lim_{n\to\infty}a_n$ and $b=\lim_{n\to\infty}b_n$. $a$ and $b$ are real numbers because the limit of a sequence of real numbers is a real number (which is a corollary in my textbook). For proof by contradiction, assume  $b&lt;a$.  Let $\epsilon=\frac{a-b}{2}$. Then we can find $N_a,N_b\in\mathbb{N}$ so  $|a-a_n|\le\frac{\epsilon}{2}$ when $n\ge N_a$, (eq. 2)  $|b-b_n|\le\frac{\epsilon}{2}$ when $n\ge N_b$. (eq. 3)  In a textbook I found that I should do the following:  Choose a $n$ so $n\ge\max(N,N_a,N_b$), then eqs. (1-3) are satisfied. Then  $a-\epsilon\le a_n+\frac{\epsilon}{2}-\epsilon$  How do I get that last thing? Is it necessary to do a proof by contradiction or can one do a direct proof?