I am facing a problem with grub. After a fresh install of Ubuntu 17.10 Grub is using the English keyboard layout instead of a German one. This applies to the Grub console and to the LUKS password prompt that opens directly after the boot manager. Since I am using full disk encryption with a rather strong passphrase, I have to adapt it to the US keyboard layout.  I have tried  solution but it did not work. The layout remains English without any errors or messages. Moreover, I can't use the keyboard in the bootmanager at all. So I reverted the changes suggested in the solution.  I never faced this problem before.
When I boot in GRUB2 and press c, I have access to GRUB shell.  How to change the keyboard layout (language) of this GRUB shell?  Note that I'm booting an Ubuntu VM inside Virtualbox.
Assume f is a bounded continuous function on $\mathbf{R}$ and $X$ is a random variable with distribution $F$.  Assume for all $x \in \mathbf{R}$ that  $$ f(x) = \int_\mathbf{R}f(x+y)F(dy) $$  Please help conclude that $f(x+s) = f(x)$ where $s$ is any value in the support of $F$.  The hints that I have come across are to use Martingale theory and consider $\{ X_n\}$ to be i.i.d. with distribution $F$ and make a martingale with some function of $S_n = \sum_{j=1}^nX_j$.    Thanks! In Star Trek, does the original die in teleportation? I am just curious.  If I am teleported is the original me dead and the teleporter just makes another copy of me there[at destination]? How to render an ASP.NET MVC view as a string? Python as a statistics workbench I'm new to QGIS and have no programming skills.  Is there an easy/uncomplicated way to create multiple buffers around a line feature? If you could travel to the center of the Earth (or any planet), would you be weightless there? Basically, I want to turn a continuous "1" into a short "1" pulse then "0". I'm new to logic gates, apologies if it's too obvious. How do the Incredible Hulk's pants stay on but not his shirt? I guess I can live with the fact that the  changes size drastically when he transforms, but why does his shirt rip off and not his pants?  I think that we need a little better answer than "it keeps us tied to the fact that inside he's still human". Sign of Work and potential energy in electrostatics Conceptual question:  Suppose we have a configuration of point charges. If the potential of the energy of the system is negative, this means work is positive.   I'm kind of rusty with my mechanics, does the fact that the work is positive mean that to arrange the configuration you have to do work against the electric field? I.e. supply energy via some external force?  In terms of electrostatics, is there a general way of interpreting the sign of potential energy and work? $y'=$ ${-x+\sqrt{(x^2+4y)}}\over 2$ , $y(2)=-1$ Prove that the solutions $y_1$ and $y_2$ for the initial value problem   $y'=$${-x+\sqrt{(x^2+4y)}}\over 2$ , $y(2)=-1$  are:  $y_1=1-x$  $y_2={{-x^2}\over 4}$  And explain why the two solutions not contradiction with the theory of existence and uniqueness.  ( sorry I don't speak English well )  My answer:  For the initial condition :  $y_1=1-x$ Satisfy the initial condition  $y(2)=-1$  $y_1=1-2=-1$   And Satisfy the differential equation  ${y_1}^{\prime}=-1$  ${{-x+\sqrt{x^2+4y}}\over 2}={{-x+\sqrt{x^2+4(1-x)}}\over 2}$  $={{-x+\sqrt{(x-2)^2}}\over 2}$  $={{-x+x-2}\over 2}=-1$  L.h.s.=R.h.s.  $y^{\prime}={{-x+\sqrt{x^2+4y}}\over 2}$  Also $y_2$ Satisfy the initial condition  $y_2={{-x^2}\over4}={-4\over4}=-1$   And satisfy the differential equation.   $y_2^{\prime}={-x\over 2}$  ${{-x+\sqrt{x^2+4y}}\over 2}={{-x+\sqrt{x^2+4({-x^2\over 4})}}\over 2}={-x\over 2}$  And for second part of exercise:  ${\partial f\over \partial y}={1\over \sqrt{x^2+4y}}$  and this not defined when $x=2, \ y=-1$  So $f(x,y)$ no satisfy lipshtize condition in any rectangular has (2,-1), Lipshtize condition including uniqueness of solution, so no contradict with the existence and uniqueness.  True ?  If this also wrong I well be delet it , I answered by the same way of my teacher :( Indefinite integral $\int(\sin x)^2/(x\cdot\cos x-\sin x)^2\,dx$ How to find the antiderivative of $\dfrac{(\sin x)^2}{(x\cdot\cos x-\sin x)^2}$? I know that series theory can solve the problem. But I wish to solve the problem by the antiderivative way. The numerator and denominator divide the $x^2$ at the same time, don't they? How can I get bash to perform tab-completion for my aliases? I have a bunch of bash completion scripts set up (mostly using bash-it and some manually setup).    I also have a bunch of aliases setup for common tasks like gco for git checkout. Right now I can type git checkout dTab and develop is completed for me but when I type gco dTab it does not complete.    I'm assuming this is because the completion script is completing on git and it fails to see gco.    Is there a way to generically/programmatically get all of my completion scripts to work with my aliases?  Not being able to complete when using the alias kind of defeats the purpose of the alias. I am creating a query that finds the shortest path from dangerous crossing nodes to hospitals (many-to-many). I have the proper output from pgr_dijkstra, with output as follows  seq | path_seq | start_vid | end_vid | node | edge | cost | agg_cost  -----+----------+-----------+---------+------+------+------+----------    1 |        1 |         2 |       3 |    2 |    4 |    1 |        0    2 |        2 |         2 |       3 |    5 |    8 |    1 |        1    3 |        3 |         2 |       3 |    6 |    9 |    1 |        2    4 |        4 |         2 |       3 |    9 |   16 |    1 |        3    5 |        5 |         2 |       3 |    4 |    3 |    1 |        4    6 |        6 |         2 |       3 |    3 |   -1 |    0 |        5    7 |        1 |         2 |       5 |    2 |    4 |    1 |        0    8 |        2 |         2 |       5 |    5 |   -1 |    0 |        1   I am trying to use st_makeline to create seperate lines for each individual node path, however thus far the function has been creating one big line SELECT  st_transform(st_makeline(t1.the_geom),4326)         FROM pgr_dijkstra(                 'SELECT osm_id as id, source, target, cost FROM spatial.melbourne_edges',                 array(select hospital_id from hospitals_in_vicinity),                  array(select crossing_id from dangerous_crossing_nodes), false) as route                 inner join spatial.melbourne_nodes t1 on route.node = t1.id --);  How am i able to make a column of all the different paths? Why does the classical path give the dominant contribution in the path integral? Why is it that the classical path gives the dominant contribution in the quantum mechanical path integral? How do we understand this? Delete own query on data explorer Check and fix SD card errors within Android itself? How can I test for POSIX compliance of shell scripts? Considering that POSIX is the closest thing to a common standard among all unices, I'm interested in knowing if there's a shell that supports it exclusively. While most modern shells provide support for POSIX (and will run POSIX compliant scripts without any problem), they don't do a good job at pointing out non compliant features.  Is there any shell that implements POSIX and POSIX only, in such a way that it'd throw an error for any non compliant feature?  EDIT I want to clarify that I'm not asking for general tips for writing portable shell scripts. The related question mentionned in the comments already covered this. I thought of this question when I found out that bash has a --posix option but only to discover that it only affects some intialization behaviors which is not exactly what I'm looking for. Identifying which part of a large document is being compiled What is the difference between fastboot oem unlock and fastboot oem unlock-go? I'm having issues unlocking my Nexus 7 2013 WiFi's bootloader, and it was suggested that I try fastboot oem unlock-go instead of fastboot oem unlock. Both seem to act the same on my device, however both also fail on my device so it is possible that the difference appears after the failure on my end comes. Regardless, I would like to know: What is the difference between these two commands? I'm not managing to find documentation. What's the starting wealth for higher levels?