Comma or space in long numbers and the UK Standard Rule Is there a strict rule in the UK on how to write long figures?  If so, which one is it?   For example, if I need to write long numbers and follow the UK standard, which figure is correct?     10 000 000 000 people (ten billion people) or 10,000,000,000 people ?    Same example but with another figure: which one is correct?      £1 000 000,85  or  £1,000,000.85
Is it essential to use comma in a big number? Is it necessary to use comma in a big number? For example, if anyone writes one million four hundred thousand and two as 1400002 instead of 1,400,002 on answer sheet of listening section of IELTS test, will it be considered incorrect?  Thanks in advance.
Experimental Fractional scaling makes fonts dirty in Ubuntu 17.10 I updated to 17.10 from 17.04.   I activated the fractional scaling by running the following command.   gsettings set org.gnome.mutter experimental-features "['scale-monitor-framebuffer']"   Then, I changed 125% scale. The scale was changed, but the fonts and icons are so dirty.    The launcher icon and font in Google Chrome and other application except the system setting are dirty.  How can I resolve this problem?  For some reason, font in the system setting is not dirty... Blender worked fine before I installed a GPU to my PC. Is it the GPU? How can I fix this? I already reinstalled to the latest version. When I try to move a cube, the orange outline only moves but not the cube and I cant click it. Why does a bigger sensor lead to a shallower depth of field? It has been mentioned at    that a larger sensor results in images with a shallower depth of field. Example image:          I understand how sensor size would relate to, for example, field of view, but the relationship with depth of field does not seem straightforward.  It actually seems contradictory - I have more wells on my sensor, and I am able to focus on less number of points.  What is the reason for this effect? What will happen with Blender 2.8 game engine? Blender has just purged the entire game engine from 2.8. There is no "Game Engine" mode anymore and there isn't even a logic editor. I tried installing a GitHub Blender release with the game engine mode working but it failed to install because all the game code was gutted. Does this mean that Blender 2.8 is going to lose the game engine, or is the game engine just being redone for better compatibility and whatnot? I am trying to create buffers around the Hurricane Sandy path I created in QGIS (points are lat/long).   I have both points from each day she was tracted and the line I created from it with Points2One.   When I go to make buffers around either the line or the points, the buffer takes up the whole screen. Its all just one color.   I have made buffers before but from data I did not create.   Right now all of my projections are set to WGS 84 EPSG 4326. Was Louis stalked days in advance too? Double Factorial: Number of possibilities to partition a set of $2n$ items into $n$ pairs I know that the partition of $2n$ items into $n$ pairs has something to do with double factorial, but I am not sure how many possibilities we exactly have.   We can choose such a partition into pairs by first choosing $n$ elements to be in one half and the remaining $n$ in the other half, which gives ${{2n} \choose n}$ possibilities. Then we can take a permutation of both sets and match them accordingly.   This gives $${{2n} \choose n} n! n!=\frac{(2n)! n! n!}{n! n!}=(2n)!$$ possibilities. But with this we overcount, since we do not want the pairs to be ordered. Each of the $n$ pairs is counted twice, wherefore we have to divide by 2 for every pair, hence $\frac{(2n)!}{2^n}$?   Well, another possiblity to do that is just to iteratively pick $2$ elements among the remaining ones, which gives ${{2n} \choose 2} {{2n-2} \choose 2} \dotsb {4 \choose 2}$  I am not sure, but I do not think that this is the same and also, I do not see the connection to double factorial. Would be very glad if you could help me with these 3 possiblities.   Thank you. How to delay a command block I have created a short command block stack, one block teleports the player and the other plays block.piston.extend. My problem is that it teleports the player before the player can hear the sound. I would like to know if there is a way to delay the command from inside that command block. I have looked at other solutions but they all involve some complex scoreboard timer thing. If you could give me a solution that doesn't use that system or maybe you could explain it better.  This is the command I need to delay:  /tp @p -586.634 64 -430.697   If anyone could help I would really appreciate it, so thanks in advance! What temperature should I set my water heater to? How would I prove there is no smallest positive rational number? what is the best method to prove this statement? I've noticed confusing definitions about permutation and substitution, preventing me from understanding the difference.  A permutation changes the order of distinct elements of a set, but this can be written as a function changing one element by another, exactly as a substitution.  So, how exactly can we distinguish between these two notions?  This question is interesting since we have these two notions in block ciphers, in which S-boxes perform substitution. The problem is that this table is used to replace one element by another, exactly like a permutation. As far as I know, the variance inflation factor is not computed with pseudo-$R^{2}$ or generalized $R^{2}$ in binary outcome models (e.g. logistic regression).  Are there other measures of multi-colinearity than VIF appropriate to such models?  Why ought or ought not we think about multi-colinearity in such models? Given a large (~ 1 million) sample of unevenly distributed points - is it possible to generate irregular grid (in size, but could also be irregular in shape if that is possible?) that will contain specified minimum amount of n points?   It is of less importance for me if genereted 'cells' of such grid contain exactly n number of points or at least n points.  I'm aware of solutions like  in ArcGIS or  in QGIS/mmgis however they will all create regular grids which will result in an output with empty cells (smaller problem - I could simply discard them) or cells with count of points less than n (bigger problem since I'd need a solution to aggregate those cells, probably using some tools from ?).  I've been googling around to no avail and am open to both commercial (ArcGIS &amp; extensions) or free (Python, PostGIS, R) solutions. Is there a way to input particular sections of source code using \lstinputlisting (from the listings package) in a flexible way?  It's possible to use the firstline and lastline options to input particular line ranges, but this isn't robust to changes to the source file.  For example, suppose that the input source file is:  int square(int x) {   return x * x; }  int cube(int x) {   return x * x * x; }   In my LaTeX document, I can include the cube procedure using the command \lstinputlisting[firstline=5,lastline=7]{source.c}.  But suppose I later decide to rewrite the cube procedure.  The input source file becomes:  int square(int x) {   return x * x; }  int cube(int x) {   int x2;   x2 = square(x);   return x * x2; }   Now my LaTeX document will not show the final two lines of cube because the listing uses only lines 5-7.  I could manually update the line range, but this is tedious and error-prone.  Is there a way to mark sections of source code with some kind of label so that the listing will be robust to these sorts of changes?  For instance, perhaps the input source file would be something like  int square(int x) {   return x * x; }  /**\beginlabel{lst:cube} **/ int cube(int x) {   int x2;   x2 = square(x);   return x * x2; } /**\endlabel{lst:cube} **/   so that I could use something like \lstinputlisting[lines=lst:cube]{source.c} to include the section that I want and remain robust to changes.  I am open to using other packages for source code listings (e.g., minted) if helpful. Re-number a list when a new entry is inserted Fell for fake sugar daddy. How do I get out? How do I remove a malformed line from my sources.list? I have unistalled and reinstalled the Ubuntu Software Center as per info I found in a similar thread and I got the same response about line 91 or something like that.  I just tried to upload a screen shot but since I'm new it won't allow me to.  I also can not figure out how to cut and paste anything so I have to hand type what the error screen says, both when I attempt to open the software center and nothing happens, when I try to enter commands into the terminal to uninstall, reinstall, whatever I get the same following:  COULD NOT INTITIALIZE THE PACKAGE INFORMATION An unresolvable problem occured while initializing the package information Please report t:his bug against the 'update-manager' package and include the following error message: 'E: Malformed line 91 in source list/etc/apt/sources.list (dist parse)  E: The list of sources could not be read.,  E: The package list of status file could not be parsed or opened.   How do I report bugs?  What can be done about this.  I have searched and everything everyone says to do leads me back to the same line error message.  So, I don't know how to get to line 91 in the source list; to tell you what it says. Sorry, I'm really new to this. That is what I need is to find out how to get there and fix what it says. I would really like to NOT have to re partition my hard drive and start from scratch, so I'm really looking forward to getting this problem solved. I need to be able to install new software. My dconf/gsettings installation is broken. How can I fix it without Ubuntu reinstall? I run Ubuntu 12.04.1 LTS x64 in VirtualBox. After one very unfortunate misclick (reset saved state instead of load saved state) I got a very annoying problem.  Almost all applications (unity, synaptic, gedit, etc.) print on start:  Using the 'memory' GSettings backend.  Your settings will not be saved or shared with other applications.   And all GUI settings reset after reboot.   Another symptom:  $ GSETTINGS_BACKEND=dconf dconf-editor (dconf-editor:2353): GLib-GIO-WARNING **: Can't find module 'dconf' specified in GSETTINGS_BACKEND GLib-GIO-Message: Using the 'memory' GSettings backend.  Your settings will not be saved or shared with other applications   But /usr/lib/x86_64-linux-gnu/gio/modules/libdconfsettings.so is present.     What I tried (and it didn't help):   sudo apt-get install -f --reinstall  dconf-tools libdconf0 libdconf-dbus-1-0 dconf-service Build dconf-0.5 from sources and make install it Create empty user profile and start programs there   I have to keep current Ubuntu installation so a complete reinstall is not an option for me.   How can I fix it? Sort by author in Alpha bibliography The following message keeps appearing on my Samsung Galaxy S4 phone screen about every three seconds  "Unfortunately, Google Play Services has stopped".    Is it actually a virus or it is a problem with the Google Play Service?  I have tried disabling the Google Play Service but the message keeps appearing.  I have Norton Mobile running on my phone to pick up on viruses and to alert me to any possible security issues and also Lookout. They haven't picked up anything.  Does anyone have any suggestions?