My computer originally had Windows 8 on it.  I completely reformatted my laptop and put Ubuntu 14.04 on it.  I tried using wine but It won't run my Technic launcher for Mine Craft.  I also can't get the Linux version of the Technic launcher to work.  So, I want to reinstall Windows 8 beside the Ubuntu so I can use the 8 for gaming and the Ubuntu for the rest of it.
I have Ubuntu on my laptop. Now I want install Windows 7 in a dual-boot. How can I do this? I can't lose my Ubuntu files, and I'm afraid that I might break . Go  for UEFI only!
Sum of two uniform random variables Leg bisectors in a trapezoid and angle equality Let $PQRS$ be a trapezoid. The bisectors of legs $PS$ and $QR$ intersect the opposite legs at $M$ and $N$ so that triangles $PMS$ and $QNR$ are formed.  Prove that $\measuredangle PMS= \measuredangle QNR$.  The question may seem easy but I fail to move on, playing with angles didn't help. I'd appreciate some hint from somebody with an eye for geometry and triangles. What is the proper name for a "river plot" visualisation In a famous plot, Charles Minard visualised the losses of the French Army in the Russian campaign of Napoleon:    (another nice example is  xkcd plot)  Is there a canonical name for this type of visualisation? I'm actually looking for an R package to create such plots, but I don't even know how to look for it.  EDIT:  As I could not find a good package in R do do this type of plots, I have created my own, called "riverplot" -- you can download it . Here is a simplified version of the above diagram:    And an example of what other diagrams can be created with the package: It seems that Geometric Complexity Theory requires much knowledge of pure maths such as algebraic geometry, representation theory.   While I am a CS student and do NOT have classes of very abstract and pure mathematics, I am interested in this program.  Is there a list of "minimum knowledge" for learning this theory ?     This list includes lecture notes of CS or math departments, surveys of any journal or conferences, and text books of pure math.  [EDIT: Added later] Thank you for your comments.  General theory of computing: I read Sipser's book with the title "Introduction to the Theory of Computation"  Complexity Theory :In particular, I am interested in concrete models for lower bounds of complexity. Thus I read the part of the "concrete lower bounds" in Arora-Barak's text book. I also have basic knowlede in the several chapers of the communication complexity book written by Nisan.  Basic Mathematics : I have learnt about proof-based linear algebra such as general definition of the vector space etc and precicely argument of calculas based on epsilon-delta argument.   Algebra: I have learned about definition and examples of group, ring, and field. I had a class for cs students, and have not learned about general thoery of this algebraic systems. Let $X_1$ and $X_2$ are independent $N(0, \sigma^2)$ random variables. What is the distribution of $X_1^2 + X_2^2$? Let $X_1$ and $X_2$ are independent $N(0, \sigma^2)$ which means (mean = 0, variance = $\sigma^2$) random variables. What is the distribution of $X_1^2 + X_2^2$?  My approach is that  $X_1\sim N(0, \sigma^2)$ and $X_2\sim N(0, \sigma^2)$  Then $X_1^2$ and $X_2^2$ have chi-squared distribution with 1 degree of freedom. (I am not sure the degree of freedom and not sure how to show it as well(please help on this))  Then I found the moment-generating function for $X_1^2$ and $X_2^2$;$$m_{X_1^2} = (1-2t)^{-1/2}$$ and $$m_{X_2^2} = (1-2t)^{-1/2}$$  So the moment generating function for $X_1^2 + X_2^2$ is $$m_{X_1^2}(t) m_{X_2^2}(t) = (1-2t)^{-2/2}$$  So $X_1^2 + X_2^2$ has a chi-squared distribution with 2 degrees of freedom. Is this correct? I would like to remove selected commit log entries from a linear commit tree, so that the entries do not show in the commit log.  My commit tree looks something like:  R--A--B--C--D--E--HEAD   I would like to remove the B and C entries so that they do not show in the commit log, but changes from A to D should be preserved. Maybe by introducing a single commit, so that B and C become BC and the tree looks like.  R--A--BC--D--E--HEAD   Or, ideally, after A comes D directly. D' representing changes from A to B, B to C and C to D.  R--A--D'--E--HEAD   Is this possible? if yes, how?  This is a fairly new project so has no branches as of now, hence no merges as well. How do I check if an object has a specific property in JavaScript?  Consider:  x = {'key': 1}; if ( x.hasOwnProperty('key') ) {     //Do this }   Is that the best way to do it? Why does work depend on distance? Why only light nuclei are able to undergo nuclear fusion not heavy nuclei? Is it because of the binding energy or the binding energy per nuclei .  I am having trouble with this whole binding energy and nuclear fusion concept. How do I install pepper-flash on Chromium? I have Chromium web browser on my Lubuntu 13.04 (pre-installed).  I use LX Terminal (pre-installed) to write commands. I am trying to download flash player on Chromium using instructions on this :  sudo add-apt-repository ppa:skunk/pepper-flash   After typing in my password, this worked. Now   sudo apt-get update   I didn't need to type in my password, as I continued on the same terminal, but got W:/ and E:/ fetch file errors  sudo apt-get install pepflashplugin-installer   I continued on the same terminal despite the fetch file errors... and they said pepflashplugin-installer could not be found.  Is the last error because of fetch file errors, or because I need to download pepflash-plugin-installer somewhere? Or is it because of something else?  I cannot download the Chrome browser, and not looking to use flash player on my Firefox web browser (installed using lubuntu software center). Suppose f is a twice differentiable function with $f(0)=0$ and $f(1)=1$, $f'(0)=f'(1)=0$. Then show that $|f''(x)| > 4$ for some $x$ in $(0,1)$ Let K={(1),(12)(34),(13)(24),(14)(23)} show that K is a normal subgroup of the alternating group of degree A4 and find all the members of A4/K and write down the group table for A4/K.   i know that K is the Klein four group and i have already proven it is a normal subgroup but i need a start on approaching the A4/K part of this question no direct answers are necessary,just ideas thank you! :) How are pronouns resolved? Are pronouns in English resolved syntactically or semantically? Do they always refer to the closest matching noun?  A  has these examples:        We gave the bananas to the monkeys because they were hungry.   We gave the bananas to the monkeys because they were ripe.   We gave the bananas to the monkeys because they were here.       My understanding was that pronouns are resolved syntactically, and so sentence 2 is semantically incorrect (unless the author really meant that the monkeys were ripe) and sentence 3 is not ambiguous. Is this wrong?  Citations and references are most welcome. Previously I thought this is a universal theorem, for one can prove it in the one dimensional case using variational principal.   However, today I'm doing a homework considering a potential like this:$$V(r)=-V_0\quad(r&lt;a)$$$$ V(r)=0\quad(r&gt;a)$$ and found that there is no bound state when $V_0a^2&lt;\pi^2\hbar^2/8m$.  So what's the condition that we have at least one bound state for 3D and 2D? Help with packages in java - import does not work Number after list name I'm sure this is a really simple setting I'm having trouble finding. If I delete a web part then add it again, there is a number in brackets after the title that goes up by 1 each time. How do I get rid of this? Trouble understanding the Bohr model of the atom $ \int_{-2}^{0} \frac{x}{\sqrt{e^x+(x+2)^2}} dx $ = -$  2.887270... $  The function has no antiderivate and there's no symmetry here to help, if you solve this I would be thankful if you would for a highschooler ^^ Home Electric Panel Questions I’m having a pool put in and the pool guys said they need a 20 amp breaker for the pool equipment. My outside panel says 100 amps (see picture). But my panel inside adds up well over 100 amps. Is this normal?  The breakers never trip even with the dryer, AC, and other appliances running. Software for drawing geometry diagrams