How can I make an element fill to the bottom of it's parent?
Make a div fill the height of the remaining screen space
Is my proof that $U_{pq}$ is not cyclic if $p$ and $q$ are distinct odd primes correct? Prove that $U_{pq}$ is not cyclic if $p$ and $q$ are distinct odd primes.   I am a self taught person. I just learned this and tried this on my own and came up with this.  $x \equiv 1 \pmod{p}$ and $x \equiv -1 \pmod{q}$ has a solution $[a]_{pq}$, since $p$ and $q$ are relatively prime. Because $q$ is an odd prime, $[-1]_{pq}$ is not a solution, so $[a]_{pq}\neq [-1]_{pq}$. But $a^2 \equiv 1 \pmod{p}$ and $a^2 \equiv 1 \pmod{q}$, so $a^2 \equiv 1\pmod{pq}$ since $p$ and $q$ are relatively prime, and thus $[a]_{pq}$ has order 2.  Can someone please tell me if this proof this correct? Please help with proof as I learned it just now as a self taught person. I've been working with ArcGis for a while now and was wondering if there was a way to change positions of parameters inside the toolbox for the user. The only time I have seen this done in arc toolbox is with the Raster clip tool with the Rectangle parameter where the 4 parameters are aligned in a circle in the toolbox.     I don't know if what I want is possible since I haven't seen anyone else do it. "Hail Mary", "Glory Be" in the plural Possible Duplicate:          In the rosary, a Catholic sacramental composed of prayer beads, there is a short prayer concluding each decade called "Glory Be" ("Glory be to the Father, Son and Holy Spirit...").  Would the plural be Glory Bes or Glory Be's?  Likewise, do you say 10 Hail Marys? Operand Should Contain 1 Column - MySQL NOT IN Proving set theory question I need to prove the following letting A and B be subsets of a universal set U. $$A\cup B = U \iff A^c\subset B$$ It just isn't straight forward to me. How can I fix silverLight problem? What's the origin of the flattened X that appears when of a small (but powerfull enough) light is reflected in our non-powered TV screen? How can I suspend/hibernate from command line? How can I suspend or hibernate my laptop using command line, without installing additional software? In my opinion the accepted answer should permanently stick as only the original question submitter has the ability to accept. I have been trying to create a function that does basically the same thing that the QGIS "dissolve" function. I thought it would be super easy but well apparently not. So from what I have gathered around, the use of fiona with shapely should be the best option here. I just began to mess around with vector files so this world is pretty new to me and python as well.  For these example, I am working with a county shapefile founded here  So here are some piece of code I gathered but can't find a way to make them work together  For now my best method is the following based on : . It works fine and I get a list of the 52 states as Shapely geometry. Please feel free to comment if there is a more straight forward way to do this part.  from osgeo import ogr from shapely.wkb import loads from numpy import asarray from shapely.ops import cascaded_union  ds = ogr.Open('counties.shp') layer = ds.GetLayer(0)  #create a list of unique states identifier to be able #to loop through them later STATEFP_list = [] for i in range(0 , layer.GetFeatureCount()) :     feature = layer.GetFeature(i)     statefp = feature.GetField('STATEFP')     STATEFP_list.append(statefp)  STATEFP_list = set(STATEFP_list)  #Create a list of merged polygons = states  #to be written to file polygons = []  #do the actual dissolving based on STATEFP #and append polygons for i in STATEFP_list :      county_to_merge = []     layer.SetAttributeFilter("STATEFP = '%s'" %i )      #I am not too sure why "while 1" but it works      while 1:         f = layer.GetNextFeature()         if f is None: break         g = f.geometry()         county_to_merge.append(loads(g.ExportToWkb()))      u = cascaded_union(county_to_merge)     polygons.append(u)  #And now I am totally stuck, I have no idea how to write  #this list of shapely geometry into a shapefile using the #same properties that my source.   So the writing is really not straight forward from what I have seen, I really just want the same shapefile only with the country dissolve into states, I don't even need much of the attribute table but I am curious to see how you can pass it on from the source to the new created shapefile.  I found many pieces of code for writing with fiona but I am never able to make it work with my data. Example from  :  from shapely.geometry import mapping, Polygon import fiona  # Here's an example Shapely geometry poly = Polygon([(0, 0), (0, 1), (1, 1), (0, 0)])  # Define a polygon feature geometry with one attribute schema = {     'geometry': 'Polygon',     'properties': {'id': 'int'}, }  # Write a new Shapefile with fiona.open('my_shp2.shp', 'w', 'ESRI Shapefile', schema) as c:     ## If there are multiple geometries, put the "for" loop here     c.write({         'geometry': mapping(poly),         'properties': {'id': 123},     })   The problem here is how to do the same with a list of geometry and how to recreate the same properties than the source. Why are tar archive formats switching to xz compression to replace bzip2 and what about gzip? "every" vs "each"? How to debug "Cross-thread operation not valid" error in C#? I have a machine running a couple of vagrant VM. The problem I have is that sometimes I forget to shutdown those VM before I shutdown or reboot my machine. Because of that my machine get stuck with this message: waiting for vboxnet0 to become free  I searched about solutions and I found this page :    I tried what they for shutdown, but it doesn't work.  I wrote an sh file for that command:  #!/bin/bash  cd ~/workspace/git/mediaservice vagrant halt   any suggestions? I am trying to remove all files and subdirectories in a directory. I used rm -r to remove all files, but I want to remove all files and subdirectories, excluding the top directory itself.  For example, I have a top directory like images. It contains the files header.png, footer.png and a subdirectory.  Now I want to delete header.png, footer.png and the subdirectory, but not images.  How can I do this in linux? Remove Archives in category title How I can remove word "Archives" in head title in category page? I'm using the Twenty Twelve theme and WordPress 4.   &lt;head&gt; &lt;title&gt;"name of category" Archives  | "name of sites"&lt;/title&gt; &lt;/head&gt; If we have a real valued function $f$ continuous at some point $a$, is it necessarily true that $f$ is Riemann integrable on the interval $[a - \delta, a + \delta]$ if a $\delta &gt; 0$ exists? 2D and 3D vectors in Tikz I would like to draw some 2D and 3D vectors in Tikz with certain properties. The following primitive graph sums what I desire:   I just need the first quadrant of the Cartesian coordinate system for my representation.  I need the vector to be connected to the respective values on the distinct dimensions(not a projection, just orthogonal dashed lines).   The code segment below does what I want to achieve in 3D with two exceptions:  The projections on the xy plane and z dimension are given instead of connecting the head of the vector to the corresponding value in each dimension.  Numerical values are missing in dimensions.   Code: \documentclass[tikz]{standalone} \usepackage{tikz-3dplot} \begin{document}  \tdplotsetmaincoords{60}{120} \begin{tikzpicture}     [scale=3,     tdplot_main_coords,     axis/.style={-&gt;,blue,thick},     vector/.style={-stealth,red,very thick},     vector guide/.style={dashed,red,thick}]  %standard tikz coordinate definition using x, y, z coords \coordinate (O) at (0,0,0);  %tikz-3dplot coordinate definition using r, theta, phi coords \tdplotsetcoord{P}{.8}{55}{60}  %draw axes \draw[axis] (0,0,0) -- (1,0,0) node[anchor=north east]{$x$};     \draw[axis] (0,0,0) -- (0,1,0) node[anchor=north west]{$y$};     \draw[axis] (0,0,0) -- (0,0,1) node[anchor=south]{$z$};  %draw a vector from O to P \draw[vector] (O) -- (P);  %draw guide lines to components \draw[vector guide] (O) -- (Pxy); \draw[vector guide] (Pxy) -- (P); \end{tikzpicture} \end{document} I have heard that there are some Pokémon that are region specific.  Could someone please clarify which Pokémon are region specific and in which regions that they can be found in? In-universe explanation for single line of planetary entry/departure in Star Wars Why are planetary blockades confined to a single point of a planet instead of being sphere shell shaped around the planet? (I know, it would take an awful lot of spaceships.)  Also, when a rebel ship wants to escape from a planet and there is a single star destroyer hovering in the atmosphere (or some more of them further up, like in the Empire Strikes Back) how come it's not a viable maneuver to fly low altitude for a couple of hundred kilometers horizontally (they would be out of the single-point blockade), then make a vertical dash upwards?