Update off Windows 10, But Auto start again
Stopping all automatic updates Windows 10
I find it intuitive enough that the radical of $\mathfrak{gl}_n\mathbb F$ is the scalar matrices, but I have trouble finding an easy, but complete proof:  Proof. Let $\mathfrak s$ denote the scalar matrices. Clearly $\mathfrak s\subset\mathrm{rad}(\mathfrak{gl}_n\mathbb F)$. Suppose that $\mathrm{rad}(\mathfrak{gl}_n\mathbb F)$ is generated by more than one element, so that $X\in\mathrm{rad}(\mathfrak{gl}_n\mathbb F)$, but $X\notin\mathfrak s$. We can change basis such that $\mathrm{rad}(\mathfrak{gl}_n\mathbb F)$ is upper-triangular. (The change of basis leaves the scalar matrices invariant.) Then $X$ is upper-triangular.  I want to conclude that there exists a $Y\in\mathfrak{gl}_n\mathbb F$ s.t. $[X,Y]$ is not upper-triangular. How can I see that $Y$ always exists, except by waving hands? I have been trying to install ubuntu (I tried 12.04LTS, 12.10, 12.10-secure-remix) using the wubi installer on Windows 8 and all the three times ran into the same problem showing some cannot find /ubuntu/winboot/wubildr when I tried to start ubuntu.  I tried to change the boot settings from UEFI to Legacy and then my laptop restarted and showed that "No operating System Found".  I then tried to install Ubuntu using a cd and after a lot of effort and using boot repair,etc. I landed into a new trouble. When I select UEFI on, the laptop loads Windows and windows too does not detect ubuntu. When I select Legacy mode, it starts ubuntu, shows me an option to start windows 8 but gives an error showing windows failed to load.  So in legacy mode, i am able to use only ubuntu and in UEFI mode, I am able to use only Win8. Please explain any process of starting windows in legacy mode (which I tried without any success) or starting ubuntu in UEFI mode. May $y=e^x$ be satisfied with both $x$ and $y$ be positive integers?  I think it is not possible as $e$ ,a transcendental number, when multiplied by itself would never result in rational number.  Am I right? I have seen this many times, a question is being asked because a previous, duplicate question was asked and answered a few years ago and has no longer relevant answers.  The  is to edit the old question, or add new answers to it, but it is not always happening.  I was wondering, should I still mark it as duplicate and vote to close it? Or just leave it as is? Profitable strategy in coin tossing? There is a coin with a probability $p$ of heads, and $1-p$ of tails. Tosses are independent of each other. When you bet an amount of money $x$, you receive $2x$ if it lands heads, and you lose what you bet if it lands tails.  We are going to use the following strategy:  You start betting an initial amount $x_0$. Every time you lose, you bet twice what you bet in the previous throw. You keep doing this, until you win, at which point you retire, or start again, betting $x_0$.  The interesting case of course is when $p &lt; 0.5$.  The question is: How profitable is this strategy? Intuitively I feel that eventually I can always win an arbitrarily large amount of money. But that can't be entirely right ("the house always wins!"). So what am I missing here? What's the expected win in each run?  Also, does this sort of strategy have a name in the literature?  P.S.: Found this later, Are the floor functions of $0.999\cdots$ and 1 equal?  It is true that $0.999\cdots=1$ but how does one justifies the integer part of $0.999\cdots$ being 1 , where it is not, or alternatively without using $0.999\cdots=1$ how can we show that  $\lfloor0.999\cdots\rfloor = \lfloor 1 \rfloor$ ? How to evaluate the integral $\int_0^{\pi}\frac{a^n\sin^2x+b^n\cos^2x}{a^{2n}\sin^2x+b^{2n}\cos^2x}dx$? Evaluate the integral $$\int_0^{\pi}\frac{a^n\sin^2x+b^n\cos^2x}{a^{2n}\sin^2x+b^{2n}\cos^2x}dx.$$   I have no idea.   $$\int_0^{\pi}\dfrac{a^n\sin^2x+b^n\cos^2x}{a^{2n}\sin^2x+b^{2n}\cos^2x}dx=\int_0^{\pi/2}\dfrac{a^n\sin^2x+b^n\cos^2x}{a^{2n}\sin^2x+b^{2n}\cos^2x}dx=\int_0^{\pi/2}\dfrac{a^n\tan^2x+b^n}{a^{2n}\tan^2x+b^{2n}}dx$$  I try the substitution $\tan{x}=t$, but it doesn’t work. I want to schedule my script for last Saturday of every month. I have come up with the below:  45 23 22-28 * *  test $(date +\%u) -eq 6 &amp;&amp; echo "4th Saturday"  &amp;&amp; sh  /folder/script.sh    Is this correct or I need to change it? I can't test it right now as it will be invoked only on last saturday. Please advise.  I have the below for last sunday of every month but i can't understand much of it. The first part gives 24 which is sunday and after -eq gives 7 which i don't know what it means:  00 17  * * 0 [ $(cal -s | tail -2 | awk '{print $1}') -eq $(date | awk '{print $3}') ] &amp;&amp; /folder/script.sh   Can i modify the above to get last saturday?  With Romeo's help I was help to come up with the below answer:  00 17 * * 6 [ $(cal -s | tail -2 | awk '{print $7}') -eq $(date | awk '{print $3}') ] &amp;&amp; /folder/script.sh I have no idea how to prove that the set $\{(x, |x|): x\in\mathbb{R}\}$ is not the image of an immersion of $\mathbb{R}$ into $\mathbb{R}^2$  For example   If $f(t)=(t^3, |t|^3)$ then $f'(0)=(0, 0)$. I just sent a text to a friend, who didn't understand an acronym I used for a game:      "Ah, I said it in a previous text so thought it was ok to abbreviate   it."   Though, since it was an acronym I had created, could I have used the word 'acronymise/ze' to be more specific?   I'm pretty sure it isn't a (formally used) word, but I wondered, as you often refer to acronyms specifically as acronyms, rather than abbreviations. Can you be more specific with a verb, too?  It sounds too odd to me, so I'm guessing generally no. But I wondered—so perhaps I'm wrong. Or half wrong. When I boot my Windows 8 laptop (see details below), it displays this message:  Recovery  Your PC needs to be repaired  A required device isn't connected or can't be accessed.  Error code: 0xc0000225  [ A text saying I should use recovery tools on my installation media to fix the issue. ]  Press Enter to try again  Press F8 for Start-up Settings  Press Esc for UEFI Firmware Settings   If I press Enter or F8, the central part of the message changes to:  The application or operating system couldn't be loaded because a required file is missing or contains errors.  File: \Windows\system32\winload.efi  Error code: 0xc0000225   I don't have a recovery disk and I have owned this computer for a year with no problems. All I did prior to this error was unistall avast and restart. I can only access UEFI Firmware Settings and have no clue what to do from there. PLEASE HELP! I want to buy a home, but I'm not interested in using a realtor as a buyer's agent.  I know that in MLS systems, when a realtor lists a house they specify what commission a buyer's agent will be paid.  Since I am the one who is bringing a qualified buyer to the listing agent, I feel that I would should get the commission (even if it is in the form of a discount on the house).    Essentially, the seller would get the same amount of money at closing... the listing agent would get the same commission as they normally would for showing the house to someone with a buyer's agent... but I would pay less for the house.  Is there a tactful way to negotiate this with the listing realtor?  For example, should I make a side contract with the realtor to pay me the commission at closing?  Or perhaps I can specify in my offer that they should reduce their fees to the seller by the commission amount if the offer is accepted, in order to make my offer more attractive?  Are these types of deals ever done, and if so, is there a conventional way to make it happen?  Thanks Find asymptotic of recurrence sequence Given a sequence $x_1=\frac{1}{2}$, $x_{n+1}=x_n-x_n^2$. It's easy to see that it limits to $0$.  The question is: is there exists an $\alpha$ such, that $\lim\limits_{n\to\infty}n^\alpha x_n\neq0$.  I tried to find explicit formula for $x_n$, but did not succeed. I stucked at that point: if $a_1=(\frac{1}{4})^2$, $a_n=(a_{n-1}+\frac{1}{4})^2$, then $x_n=-a_{n-2}+\frac{1}{4}$ for $n\ge3$.   Thanks for any ideas and help. How do I perform a Perl substitution on a string while keeping the original? In Perl, what is a good way to perform a replacement on a string using a regular expression and store the value in a different variable, without changing the original?  I usually just copy the string to a new variable then bind it to the s/// regex that does the replacement on the new string, but I was wondering if there is a better way to do this?  $newstring = $oldstring; $newstring =~ s/foo/bar/g; butt, bottom, buttock and ass? A woman's butt was allegedly touched by a man several times during a commute on the MRT.   How to use butt, bottom, buttock and ass? I am confusing with these words. How To Make A Solid Object Drop To The Ground Like It Was Liquid variable access outside of if statement I always wondered on what algorihm the best league of mine is chosen.    I am in the 0.16% of this quarter. That is rank 171 this quarter. But I am also ranked 113th this month.  Why is the stat for the quarter displayed when I have a better ranking in the month? How can I find local IP addresses (i.e. 192.168.x.x or 10.0.x.x) in Python platform independently and using only the standard library? Including all the jars in a directory within the Java classpath