In the film Contact, Jodie Foster is searching for extraterrestrial life.  After a series of events where aliens give them a way to make a "spaceship."  She travels to a place where she sees an alien who looks like her father and returns, but she never traveled anywhere in space according to Earth, just time.  As such, no one believes that she really went to this place (despite the evidence that she recorded 18 hours of static in this time).  My question is, Could they have sent another person in the machine?  Maybe they mentioned this explicitly and I just missed it, but it seems bizarre that they just choose to not reuse this incredibly expensive alien device.
I recently re-watched Contact for the first time since my childhood, and while I thoroughly enjoyed it, I realized that there was something I'd never understood: why couldn't they corroborate Ellie's account of her journey?  As far as I could tell, the pod fell harmlessly through the machine.  That is, it didn't break anything, and the machine wasn't destroyed.  I don't recall any dialogue about circuits being fried or the system shutting down, so presumably it wouldn't be hard to simply hoist the pod up and go again.  I imagine the energy draw was substantial on the local Japanese power grid, but given the amount of effort and money already invested in the machine, surely "Round 2" wasn't out of the question?  I mean, they almost certainly expected that this machine would get more than one good use out of it, anyway!  So given Ellie's vehement insistence that the machine had worked, the public nature of the controversy surrounding her testimony, and the government's (secret) findings that her device had recorded 18 hours of static, why wasn't it the obvious choice to have someone else suiting up the next day, ready to drop through the machine and corroborate her story?
Prove that $(p+q)^m \leq p^m+q^m$ If $p,q$ are positive quantities and $0 \leq m\leq 1$ then Prove that $$(p+q)^m \leq p^m+q^m$$    Trial: For $m=0$, $(p+q)^0=1 &lt; 2= p^0+q^0$  and for $m=1$, $(p+q)^1=p+q =p^1+q^1$.   So, For $m=0,1$ the inequality is true.How I show that the inequality is also true for $0 &lt; m &lt; 1$.   Please help. Merging two xml files in C# without appending and without deleting anything (example given) I read following in a web site ()     Lenses with maximum apertures of f2.8 allow the camera to use all high   precision sensors. In low light or other situations that are hostile   to autofocus, that’s a big deal. Lenses with a maximum aperture of   f4.0 use only the center focus sensor in its “high precision” mode,   and use the other sensors in their “horizontal line” only mode. Lenses   with a maximum aperture of f5.6 use all sensors in their   “horizontal-only” mode, and lenses with a maximum aperture of f8 use   only the center sensor point, and that with horizontal sensitivity   only.   I want to understand if this is completely true? I am raising this because recently I have purchased a Nikon 70-200 f/4 lens and would like to understand if I have made a wise investment, or, should I collect some more money and buy a 70-200 f/2.8 VR-II lens. Chain-calling parent initialisers in python Set "default" monitor I would like to be able to set my "default" monitor to be my external 25' monitor instead of my laptop one when I have my external monitor connected.  Many applications always open on the laptops monitor instead of the "big" one. Currently, the only way I know to disable this behavior is to disable the laptop monitor, however, as I use a laptop stand to bring it higher, Id like to be able to use my laptop monitor as a "secondary" monitor, without dock (launcher) and without any windows opening on it.  The only way for a window to reach it would be to actually manually grab it and drag it over.  Some known applications that ALWAYS open on the laptop monitor and drive me crazy: Slack, Rocket Chat, Thunderbird, Sky, System Settings, Guake (specially annoying since i cant move it). Front facing camera stopped working on the iPhone 4s Who else knew that Lord Voldemort was Tom Marvolo Riddle? We know that some people were aware of the fact that Lord Voldemort was Tom Marvolo Riddle prior to his return in Goblet of Fire; at the very least his close soon-to-be-Death-Eater &quot;friends&quot; and Albus Dumbledore:  “Very few people know that Lord Voldemort was once called Tom Riddle. I taught him myself, fifty years ago, at Hogwarts...&quot; ... underwent so many dangerous, magical transformations, that when he resurfaced as Lord Voldemort, he was barely recognizable. Hardly anyone connected Lord Voldemort with the clever, handsome boy who was once Head Boy here.” (Professor Dumbledore to Weasleys, Chamber of Secrets, CHAPTER EIGHTEEN, Dobby’s Reward)  and  “Voldemort,” said Riddle softly, “is my past, present, and future, Harry Potter…” He pulled Harry’s wand from his pocket and began to trace it through the air, writing three shimmering words: TOM MARVOLO RIDDLE Then he waved the wand once, and the letters of his name rearranged themselves: I AM LORD VOLDEMORT “You see?” he whispered. “It was a name I was already using at Hogwarts, to my most intimate friends only, of course. ...  (Tom's Diary manifestation in the Chamber of Secrets).  QUESTION: Who - based on canon (books/interviews/pottermore) - knew about the fact that Lord Voldemort was Tom Marvolo Riddle prior to Ginny being taken to the Chamber of Secrets? Obviously, Albus Dumbledore and Tom himself. Who else? If $|a| = 12, |b| = 22$ and $\langle a \rangle\cap \langle b\rangle \ne e$, prove that $a^6 = b^{11}$ I see a lot of questions comparing full frame (e.g EF for Canon, FX for Nikon) and crop lenses (e.g. EF-S for Canon, DX for Nikon) but I can't find the answer to what would be the differences between the photos taken with say a 50mm f/1.4 EF and EF-S lenses both used with   same APS-C sensor sized camera same ISO same f/1.4 f-stop same focal length same shutter speed   What would be the resulting differences in the photos? Which one would   be brighter than the other due the EF-S lens concentrating the light more? no that's wrong. Both put the same amount of light from the same FoV on the sensor. have greater depth-of-field? neither less problems towards the edges? generally the full frame more lens flare? generally the full frame lens unless there is, or you provide more shading anything else? not really, unless you start down the road of which one is typically of better build quality.   Edit: Added the answers from what seems to be the general consensus from the multiple answers and comments.  Results: My desire to buy a fast medium-high quality lens compatible with both full frame and crop camera's doesn't have to be hampered by the APS-C sensor size of my current camera.  This means I'm willing to part with more money to get a higher performance/quality lens as the performance/quality will be useful now and when I upgrade my camera.  Though reading reviews of some full frame lenses with short focal lengths, look out, as some are really only made to perform well on crop cameras even though they fit on a full frame camera and will give you a full frame picture, the edge quality is very bad. Creating image with specific latitude/longitude positions using GDAL? I have an ASCII file with latitude, longitude, and data_val in the following format.  35-13.643782N, 080-57.190157W, 118.6 ...   I have a GeoTiff image file, and I can easily view it.  I want to place a "pin" (can be a dot/flag/star or whatever is easiest) on the image at the specific latitude/longitude position found in the ASCII file.  Here is what I've managed to do so far:  My source image looks like this:  Driver: GTiff/GeoTIFF Files: /tmp/Charlotte SEC 100.tif Size is 16867, 12358 Coordinate System is: PROJCS["Lambert Conformal Conic",     GEOGCS["NAD83",         DATUM["North_American_Datum_1983",             SPHEROID["GRS 1980",6378137,298.2572221010042,                 AUTHORITY["EPSG","7019"]],             AUTHORITY["EPSG","6269"]],         PRIMEM["Greenwich",0],         UNIT["degree",0.0174532925199433],         AUTHORITY["EPSG","4269"]],     PROJECTION["Lambert_Conformal_Conic_2SP"],     PARAMETER["standard_parallel_1",38.66666666666666],     PARAMETER["standard_parallel_2",33.33333333333334],     PARAMETER["latitude_of_origin",34.11666666666667],     PARAMETER["central_meridian",-78.75],     PARAMETER["false_easting",0],     PARAMETER["false_northing",0],     UNIT["metre",1,         AUTHORITY["EPSG","9001"]]] Origin = (-365041.822331817995291,240536.419747152860509) Pixel Size = (42.334586069440391,-42.334898968590878) Metadata:   AREA_OR_POINT=Area   TIFFTAG_DATETIME=2016:06:24 12:46:45   TIFFTAG_RESOLUTIONUNIT=2 (pixels/inch)   TIFFTAG_SOFTWARE=Adobe Photoshop CS5 Windows   TIFFTAG_XRESOLUTION=300   TIFFTAG_YRESOLUTION=300 Image Structure Metadata:   COMPRESSION=LZW   INTERLEAVE=BAND Corner Coordinates: Upper Left  ( -365041.822,  240536.420) ( 82d48'55.43"W, 36d13' 4.92"N) Lower Left  ( -365041.822, -282638.262) ( 82d35'10.11"W, 31d30'17.00"N) Upper Right (  349015.641,  240536.420) ( 74d51'46.40"W, 36d13'26.16"N) Lower Right (  349015.641, -282638.262) ( 75d 4'55.60"W, 31d30'36.99"N) Center      (   -8013.091,  -21050.921) ( 78d50'12.11"W, 33d55'36.35"N) Band 1 Block=16867x1 Type=Byte, ColorInterp=Palette   Color Table (RGB with 256 entries)     0: 255,255,255,255 ...   Here is what I've managed to cobble together in Python:  from osgeo import gdal, osr  src_filename = '/tmp/Charlotte SEC 100.tif' dst_filename = '/tmp/foo.tiff'  # Opens source dataset src_ds = gdal.Open(src_filename) format = "GTiff" driver = gdal.GetDriverByName(format)  # Open destination dataset dst_ds = driver.CreateCopy(dst_filename, src_ds, 0)  # Specify raster location through geotransform array # (upperleftx, scalex, skewx, upperlefty, skewy, scaley) # Scale = size of one pixel in units of raster projection # this example below assumes 100x100 gt = [-365041.822, 100, 0, 240536.420, 0, -100]  # Set location dst_ds.SetGeoTransform(gt)  # Get raster projection epsg = 4269            # http://spatialreference.org/ref/sr-org/lambert_conformal_conic_2sp/ srs = osr.SpatialReference() srs.ImportFromEPSG(epsg) dest_wkt = srs.ExportToWkt()  # Set projection dst_ds.SetProjection(dest_wkt)  # Close files dst_ds = None src_ds = None   But, I can't quite figure out how to place a "red dot" at 35-13.643782N, 080-57.190157W  I'm having to learn some new details here (nomenclature about GIS). How do I get label of the selected item from a lightning:select drop down list? I would like to get the value of the label of the selected drop down item.  In this case, the label is the Name of the Contact.  &lt;aura:component&gt;  &lt;aura:attribute name="contacts" type="Contact[]"/&gt;  &lt;lightning:select label="Contact" aura:id="contactList" name="contactList"&gt;     &lt;aura:iteration items="{!v.contacts}" var="c" indexVar="index"&gt;        &lt;option value="{!c.Id}"&gt;{!c.Name}&lt;/option&gt;    &lt;/aura:iteration&gt;  &lt;/lightning:select&gt;  &lt;/aura:component&gt;   I know how to get the value:  component.find("contactList").get("v.value");   But how do I get the label? cardinality of the set of $ \varphi: \mathbb N \to \mathbb N$ such that $\varphi$ is an increasing sequence I know that the set of functions $ f:\mathbb N \to \mathbb N$ is uncountable, but what if we consider only $f$ such that $f$ is increasing? I want to know if this set is countable D: and also the case of bijective and increasing (clearly if the firstone holds then this too). I think that it could be possible that it's countable T SQL Table Valued Function to Split a Column on commas I wrote a Table Valued Function in Microsoft SQL Server 2008 to take a comma delimited column in a database to spit out separate rows for each value.  Ex: "one,two,three,four" would return a new table with only one column containing the following values:  one two three four   Does this code look error prone to you guys? When I test it with   SELECT * FROM utvf_Split('one,two,three,four',',')    it just runs forever and never returns anything. This is getting really disheartening especially since there are no built in split functions on MSSQL server (WHY WHY WHY?!) and all the similar functions I've found on the web are absolute trash or simply irrelevant to what I'm trying to do.  Here is the function:  USE *myDBname* GO SET ANSI_NULLS ON GO SET QUOTED_IDENTIFIER ON GO ALTER FUNCTION [dbo].[utvf_SPlit] (@String VARCHAR(MAX), @delimiter CHAR)  RETURNS @SplitValues TABLE (     Asset_ID VARCHAR(MAX) NOT NULL )  AS BEGIN             DECLARE @FoundIndex INT             DECLARE @ReturnValue VARCHAR(MAX)              SET @FoundIndex = CHARINDEX(@delimiter, @String)              WHILE (@FoundIndex &lt;&gt; 0)             BEGIN                   DECLARE @NextFoundIndex INT                   SET @NextFoundIndex = CHARINDEX(@delimiter, @String, @FoundIndex+1)                   SET @ReturnValue = SUBSTRING(@String, @FoundIndex,@NextFoundIndex-@FoundIndex)                   SET @FoundIndex = CHARINDEX(@delimiter, @String)                   INSERT @SplitValues (Asset_ID) VALUES (@ReturnValue)             END              RETURN END Coupon Collector Problem with Batched Selections Algorithm over 2 pages I am writing a few rather large pseudocode functions using algorithm and algorithmic, i.e. my code looks something like:  \begin{algorithm}                      \caption{Coolest Algorithm ever}           \label{findme}                           \begin{algorithmic} [1]                   % enter the algorithmic environment \REQUIRE    Here are a few variables \\             variable 2 \\             variable 3  \ENSURE     this is the output \\             output 2  \STATE $some cool code here$ \STATE $some cool code here$ \STATE $some cool code here$ \STATE $some cool code here$ \end{algorithmic} \end{algorithm}   Unfortunately this code does not fit on one page and I am definitely not able to split it into some subfunctions or so (I already did that as far as possible).  So now I need to split up the algorithm into two pages, but I have no idea how.  The easiest way I can imagine is just to start a new algorithm on the new page, but this time letting the line counter start at line 35 or so instead of 1. But how can I do that?  Please not that there is already a similar question here on this site, but it deals with the package algorithmicx. Practical uses for the "internal" keyword in C# Could you please explain what the practical usage is for the internal keyword in C#?  I know that the internal modifier limits access to the current assembly, but when and in which circumstance should I use it? Windows Media Player 12 shows wrong cover art when playing "NG NS" on ticket after airport security I'm having some problems with some scripts in bash, about errors and unexpected behaviors. I would like to investigate the causes of the problems so I can apply fixes. Is there a way I can turn some kind of "debug-mode" for bash, to get more information? 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