Add partition to unallocated partition
How to merge an unallocated partition with an extended partition?
Does the series $\sum_{n=1}^{\infty}|x|^\sqrt n$ converge pointwise? If it then what would be the sum? If $a,b$ are positive integers such that $\gcd(a,b)=1$, then show that $\gcd(a+b, a-b)=1$ or $2$. and $\gcd(a^2+b^2, a^2-b^2)=1$ or $2 $ I'm new to field extensions and I can neither see why or how to prove this statement.  If I'm not mistaken, to construct a splitting field, you construct rupture fields one after the other, using that the $8$ element field is the splitting field of $X^8-X$ over $\mathbb F_2$, since $2$ is the only prime divisor of 8.  Over $\mathbb F_2$ $X^8-X$ has two roots : $0$ and $1$. Therefore $X^8-X=X(X-1)(1+X+...+X^6)$. The last factor, call it $P$, has no roots. So let $\alpha$ be a root in some extension $\mathbb F_2(\alpha)$ of $\mathbb F_2$.  We now have $P=(X-\alpha)(X^5+\alpha X^4+...+\alpha^4X+\alpha^5)$.  I suspect $\alpha$ might not be the way to go and if so, my second plan would be to reduce $P$. I don't know how to do this but assuming it to be done, hence having $P=P_1...P_n$, I could start using $P_1$'s rupture field, and then my best guess is that if $\mathbb F_2[X]/(P_1)$ is not sufficient, I re-reduce $P$ over this new field and consider the rupture field of one of the factors, and so on.  Now assuming I wasn't given the statement itself, is it elementary to construct the $8$ element field using $\mathbb F_2$ ? Why can the entropy of an isolated system increase? Word to describe someone who goes to all the events in town! What are all possible ways to stop a zombie from despawning? Is there any way for which we are able to stop a zombie from de-spawning no matter how far we go? If so, what are all possible ways?  Bonus question: what are all the other techniques for which we can prevent a zombie from de-spawning within a specific block radius? This is a general, community wiki  question to address non-specific "I need a CMS or Wiki that does x, y, and z..." questions.  If your question was closed as a duplicate of this question and you feel that the information provided here does not provide a sufficient answer, please open a discussion on .    I have a list of features that I want for my website's Content Management System (CMS) - where can I find a [free] script that includes all of them? A couple years ago, it was easy to root any device: Install KingRoot, KingoRoot, or a similar app, hit the large ROOT button, and let it do the rest. After 5 minutes or so, a green "Root Succeeded!" prompt will pop up, and we can choose to keep the root app, or uninstall it and install a clean root manager app like SuperSU/Superuser.  How do they work? Why aren't they working anymore? And if they work, should I use them or not? I asked a  recently, looking for examples of an online tool. Per the , I answered my own question with a few examples that I had already found. I did this so that these examples would be included in the answers, along with the rest.  The question has received only down votes and insults saying that this shouldn't be done.   Should I not answer my own questions? I'm having trouble understanding the wording of one of my homework questions. Since this question appears early in the chapter, I have a feeling that I'm misinterpreting it.  Give a finite automaton that that accepts the following language: The language over $\{a, b\}$ of any even number of $a$'s and any odd number of $b$'s.   I'm having trouble with the usage of "and". Is it asking for an FA that accepts any string that is either an even number of $a$'s or an odd number of $b$'s, e.g. $aa$, $bbb$, $aaaa$, etc, but not accept strings like $aabbb$, $abbab$.   Or, is it asking for an FA that accepts any string that contains an even number of $a$'s or an odd number of $b$'s, e.g. $aabbb$, $ababb$, etc.   The first case is relatively simple, but I've been struggling with the second. I haven't even managed to convince myself that it is a regular language (because I haven't been able to come up with a regular expression that matches it).   My questions: Which interpretation seems most likely. Is the second case a regular language, if so, give a regular expression that recognizes it. I have a dell laptop with 4GB of ram and 500GB of storage.I just finished installing windows 8.1 32bit version, which utilizes 3GB of ram.  Can I install and run Ubuntu to utilize that unusable portion of Ram.Then how?  Thanks in advance Why “which” returns none on some commands I can run? I used which to tell the location of a runnable file. For example, which pwd returns /bin/pwd. However, I found which alias or which compgen etc returns nothing.   What are commands like alias? Aren't they executable files on my Linux? I am using bash 4.3 on Ubuntu. How to truncate milliseconds off of a .NET DateTime I've gotten stuck at the following exercise;     There are m functions from a one-element set to the set {1, 2, …, m}.   How many functions are there from a two-element set to {1, 2, …, m}?   From a three-element set? Give a recurrence for the number of T(n) of   functions from an n-element set to {1, 2, …, m}. Solve the recurrence.   I'm not sure how to begin solving it? Origins of the nose-bleed in anime/manga In a similar spirit to my , I wonder who was the first artist to feature a nose-bleed when thinking, shall we say, "provocative thoughts"?  Did it become popularized in anime/manga because of the popularity of the artist's work or because it is a common belief in japanese folklore? Some items in Terraria drop only very rarely from certain enemies. It's a pain having to farm so many enemies to try to get these rare items. Is there any way to make them drop more often? I've managed to create a custom keyboard layout for .  Now that the keyboard is in a state that I can share it. I don't know how to make it a redistributable package. A very basic ring theory question, which I am not able to solve. How does one show that    $\mathbb{Z}[i]/(3-i) \cong \mathbb{Z}/10\mathbb{Z}$. Extending the result: $\mathbb{Z}[i]/(a-ib) \cong \mathbb{Z}/(a^{2}+b^{2})\mathbb{Z}$, if $a,b$ are relatively prime.   My attempt was to define a map, $\varphi:\mathbb{Z}[i] \to \mathbb{Z}/10\mathbb{Z}$ and show that the kernel is the ideal generated by $\langle{3-i\rangle}$. But I couldn't think of such a map. Anyhow, any ideas would be helpful. Regarding running Watir scripts for UI Automation from Jenkins CI - How to hook up Jenkins and watir-automations Proof of $\int_0^\infty \left(\frac{\sin x}{x}\right)^2 \mathrm dx=\frac{\pi}{2}.$