I want to find all of the unusual gems for the thieves guild but I can't find any, I only have 3, are they in dungeons or where?
I can't seem to find a few of the Stones, so, is there a list available with the location of all the stones?
Are $\mathbb{Q}_p$ and $\mathbb{Q}_q$ homeomorphic? Find all primes $p>2$ for which $x^2+x+1$ is irreducible in $\mathbb{F}_p[x]$ Find all primes $p&gt;2$ for which $x^2+x+1$ is irreducible in $\mathbb{F}_p[x]$   Attempt. Since $x^2+x+1$ is of degree 2, it is reducible iff it has a root in $\mathbb{F}_p$. It has a root in $\mathbb{F}_p$ iff $x^3-1=(x-1)(x^2+x+1)$ has a root other than 1. The latter has a root other than $1$ iff $\mathbb{F}_p$ has elements of order $3$, which happens iff $3\mid |\mathbb{F}_p^{\times}|=p-1$, which happens iff $p\equiv 1\bmod 3$. So $x^2+x+1$ is irreducible iff $p\not \equiv 1\bmod3 $.   I am getting a different answer than my professor, who has $p\equiv 1\bmod 3$. If I am incorrect, were am I going wrong?  Update. Now I am unsure about my own reasoning. What if $1$ is a root of $x^2+x+1$? I don't know why I am considering roots of $x^2+x+1$ other than $1$ when $1$ can be a root. I have an UTF-8, polish text in .tex file. When I open it with my LEd (LaTeX editor), it shows ok (all characters can be seen). But when I try to compile it, I get error:  Package inputenc Error: Keyboard character used is undefined (inputenc) in inputencoding `utf8'.   I have to copy the text, cut it and paste to Notepad++, change (not convert!) encoding from UTF8 to ANSI (the polish characters will be missed and replaces with some random characters). Than copy it again and paste to LEd (in that editor, characters display bad also). But now I can compile my pdf and in it, the encoding is right again.  Is there a way to set encoding in the way I will see characters in LEd propertly and I will be able to compile it and I will get good characters in pdf?  The begging of my code:  \documentclass[12pt]{report} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{graphicx} \usepackage{amsmath,amssymb,amsfonts} \usepackage{txfonts} Is there way to enable more than 4 GB RAM in 32-bit Windows OS? I upgraded my PC to 4 GB RAM and I get only 3 GB. Windows 7 32-Bit consider that I've 4 GB RAM but didn't use more than 3 GB.  Someone told me that MS Windows 32-bit doesn't support RAM larger than 3 GB.  So please is there any way to make my OS "Windows 7 32-Bit" support more than 3 GB RAM ?  *`Note: I can't move to 64-bit because I've many program doesn't work with a 64-bit OS.  Edit::  I tried what Mr. Wonsungi advised me but whenever I check this option:      Enable support for 4 GB of RAM   I get the following error:      'Cannot access to the registry key   HKEY_CLASSES_ROOT\CLSID\{E88DCCE0-11d1-A9F0-00AA0060FA31}.'   There is no "CLSID" in my registry, I don't know why!. Given   $$ f_{XY}(x,y) = \frac{1}{2\pi \sqrt{1-\rho^2}} \exp \left( -\frac{x^2 +y^2 - 2\rho xy}{2(1-\rho^2)} \right) $$  $Y = Z\sqrt{1-\rho^2} + \rho X$  And   $$ f_{XZ}(x,z) = \frac{1}{2\pi } \exp \left( -\frac{x^2 +z^2}{2} \right) $$  Show that $P(X&gt;0,Y&gt;0)= \frac{1}{4}+\frac{1}{2\pi}(\arcsin \rho) $  I'm supposed to use the fact that X and Z are independent standard normal random variables, but I don't quite understand how. Any help would be greatly appreciated. Discount for Roles I am using Drupal Commerce and I would like to know if it is possible to have discounted prices for registered users and much better for roles.  For example, the nomral price is $100 but when a user logs in that belongs to Role1 for example, he will see different prices with the percentage discount that I will have assigned to that role.  How can I accomplish such a feature? Fermat's Last Theorem with negative exponent Explaining to laypeople why bootstrapping works Deleted user's posts showing in 'First Posts' queue On Scifi.SE, a user had their account deleted this morning.  Also this morning, about half a dozen of "their" posts were in the First Posts queue.  The posts were all roughly a month old, and they all had the same disassociated user#.   one of them.  Why'd this person's posts show up in the First Posts queue?  Why do a deleted user's posts ever show up in that queue, when it's purpose is to help the community provide feedback to new users?  A deleted user is no longer a member of the community, and they're not even going to be able to act on any feedback. Network reputation graph becomes nervous when clicking quickly, backs away slowly How to convince stakeholders to invest in proper UX? I'm working on a web app with a team of 5, including me. One database administrator, one project manager, two programmers and me the front-end designer. This project is an internal reporting system.  Anyways, I've struggling a little bit with my team, the DBA and two programmers seem to control our meetings with what Data we are going to pull and the best way to work it into an object model.  And then look to me to design some pretty interface.  Truth is, we've never measured the objectives of this application and what strategy will best meet them from a front-end design/UX standpoint. We've done no wire frames, no planning of content, no planning of pages, no conversations on specific interface components, nothing like that. It seems my team is content with designing and building the entire UX/UI based on a couple of ideas we've spit-balled in meetings.  Forgive me if this sounds too much like a gripe, but I'm at a loss. How do I get my team to understand, we can't just throw the front-end together based on back-end data and the interface HAS to be well planned out and organized? This is a somewhat bizarre question. My objectives are to understand the language design decision and to identify the possibilities of reflection in C++.   Why C++ language committee did not go towards implementing reflection in the language? Is reflection too difficult in a language that does not run on a virtual machine (like java)? If one were to implement reflection for C++, what will be the challenges?   I guess the uses of reflection are well-known: editors can be more easily written, program code will be smaller, mocks can be generated for unit tests and so on. But it would be great if you could comment on uses of reflection too. Initializing C# auto-properties I'm used to writing classes like this:  public class foo {   private string mBar = "bar";   public string Bar {     get { return mBar; }     set { mBar = value; }   }   //... other methods, no constructor ... }   Converting Bar to an auto-property seems convenient and concise, but how can I retain the initialization without adding a constructor and putting the initialization in there?  public class foo2theRevengeOfFoo {   //private string mBar = "bar";   public string Bar { get; set; }   //... other methods, no constructor ...   //behavior has changed. }   You could see that adding a constructor isn't inline with the effort savings I'm supposed to be getting from auto-properties.  Something like this would make more sense to me:  public string Bar { get; set; } = "bar"; I am so confused by, for example, "People love their life or lives." How can I get maximum DoF with no distance markers? I am aware of what hyperfocal distance is and the general principles behind it. However, most of the tutorials I have seen and read regarding it make use of lenses with focus distance indicators. Unfortunately, neither of my lenses (Nikkor 18-55mm &amp; 35mm f1.8) have indicators.  I have read that you can 'cheat' and simply focus a third of the way into the shot (which I have done previously simply by spot-focusing on the lowest focus point in my VF). I also assume you could pace out the distance and note an object to focus on when you get back to the camera (though that might be easier said than done).  Does anyone have any suggestions on how to achieve maximum sharpness from front to back without focus distance markers. A new lens is not an option; global economic crisis and all that! So the vending machine tore my $5 in pieces. What now? The vending machine swallowed half of my $5 bill, and the other half remained in my hand. Can I get my $5 back, or is it all lost forever? What does the notation $S^n$ mean? I see this notation a lot, but I can't seem to find an answer in my google searches. In particular I am looking at the question      Let $\alpha:S^n\rightarrow S^n$ be the antipodal map. Prove that $n$ is odd, then $\alpha\simeq \operatorname{id}.$    If it is an arbitrary symmetric group, then I understand, but I have seen $S^1$ be used for the circle. Does removing an application from Software Center do a remove or a purge When I remove an application already installed through the Software Center. Does it remove the app the same way as doing a purge to it (aptitude purge) or does it remove it like a "remove" (aptitude remove). Generated $\sigma$-algebras with cylinder set doesn't contain the space of continuous functions What's the NB30 or MM-TD in an iPhone description in GSX? What's the NB30 or  MM-TD in an iPhone description? I always see these nomenclatures Non block, etc, what does it mean?