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Randomly populating procedural shape (or Image Texture) in Cycles
Reduction Integration of $I_n=\int{\frac{x^n}{\sqrt{x^2+a^2}} dx}$ How do I derive this using reduction formula?  $$I_n=\int{\frac{x^n}{\sqrt{x^2+a^2}} dx}$$  I got $\sqrt{x^2+a^2}(x^n) - \frac{1}{n-1}(x^{n-1})\sqrt{x^2+a^2} + \frac{1}{n-1}(I_n) $ . I'm not too sure if this is correct. I would appreciate any form of help or correction to my answer. Thank you. how does capacitor work ? how do they conduct electricity ? Sorry, i am novice in electronics, trying to understand basic fundamental of electronics.  1. How does capacitor conduct current when two plates aren't physically connected. How to export debug logs? I spend my days waiting on the Force.com Console and it makes me crazy, I have a pretty nice machine and it still chokes on the details sometimes.  Anyways, I saw  had given a  and is presenting again this year Dreamforce '12.  However, it seems like they're presentation is targeted at using their product, or for that matter others like it (, ) on Heroku, and not really targeting APEX/VisualForce development!  Is this the case? Are there any better solutions out there for reviewing logs?  Are there any APIs that allow you to export your debug logs out of SFDC programatically? Or has anyone even tried to tackle this? ArcGIS Python Tool - Importing Custom Script Into ToolValidator Class How to zero out a drive? Why is January month 0 in Java Calendar? Viewport pivot point changed from scene objects to around viewport camera origin I am starting to learn using blender, and at some point I managed to do something to the 3D view camera.  Usually the camera orbits around an object, but now the rotation seems to happen (atleast very close to) around the "camera's origin". Neither the input setting in "User Preferences", the pivot point selection nor Ctrl-Alt-Shift-C (as suggested on some forum) do anything to the issue. Is it correct to hyphenate with compound premodifiers? If so, where is the hyphen placed? For example, "file system" and "related". Is it "file system-related"? It will appear as if it is a compound of "file" and "system-related", won't it? Do I have to create vector files at the correct print size? Single word for people who are like "a frog in the well" Is there a single word describing someone who is like a frog in a well? The frog believes the well is the entire world. How can I describe people who think that their own small environment is the entire world? Torus and Elliptic curves In a conference on elliptic curves (an introduction to the subject), the speaker said that an elliptic curve (I.e. an equation of the form $y^2=x^3+ax+b $ where the RHS has distinct roots) is, in the complex space, a torus/Riemann surface of genus 1.  What is meant by that? Are we talking about a 2-dimensional manifold the 4D space? How do I quickly switch between weapons and spells? When  I see him quickly change his weapons and spells during combat. When he later goes inside his items, you can see a second smaller arrow next to the weapon that you can quickly change to in combat. How can I set such an alternative so that I can quickly switch weapon?  The screen doesn't seem to intuitively explain what key I need to use to do that... I'm creating a game where I have an Entity class that contains basic entity info (pos, health,..) and some functions. Enemies and Player later on inherit from this class.   Public class Entity {  public Vector2 position; public float health; ,...   Lets say that I have a function like this inside the Entity class:  public GameObject movingIntoEnemy(Vector2 movingToPoint) {     foreach (GameObject go in GameObject.Find("GameMap").GetComponent&lt;GameMap&gt;().enemyList)     {         if (go.GetComponent&lt;EnemyScript&gt;().enemy.position == movingToPoint)         {             return go;         }     }     return null; }   This function looks for a GameObject called "GameMap" and then cycles through enemies in it's list. If an enemy is found, it returns it's GameObject. Using GameObject.Find() is pretty ineffective, so what would be a better approach to this? I mean, I can't just easily use  public GameObject GameMap;   since the code is in a class, and this class needs to be instantiated first in my player/enemy scripts.  My question is - how do I attach gameObjects to this class before it is even created? What is the appropriate approach to this? I guess that I might pass these GameObjects to the class through it's constructor, but it would make things much more complicated.   Thanks in advance ;) Let $(a_n)$ be a strictly increasing sequence of positive integers such that: $a_2 = 2$, $a_{mn} = a_m a_n$ for $m, n$ relatively prime. Let $(a_n)$ be a strictly increasing sequence of positive integers such   that: $a_2 = 2$ and $a_{mn} = a_m a_n$ for $m, n$ relatively prime. Show that $a_n = n$, for every positive integer $n$.   This is a result apparently due to Paul Erdős, and  has a proof by induction.  I tried like this, $a_{10}=a_2a_5$. After this what we can do?    [Editor's comment] Possibly due to the apparent simplicity of the conditions it may be difficult to appreciate the subtleties of this question. If we try and construct a counterexample like $a_3=4$, $a_4=5$, $a_5=6$, then the requirements dictate $a_6=8$, $a_{10}=12$, $a_{15}=24$. At this point we realize that we have been speeding. For monotonicity forces $a_9\le 11$, and therefore $a_{18}\le22&lt;a_{15}$, violating the requirements. It is not obvious why something similar ruins all the modifications to the sequence $a_n=n$. [/comment, JL] MySQL Access denied for user 'root'@'localhost' In my server, everytime I try to access MySQL I get the error:        Access denied for user 'root'@'localhost' (using password: NO)   when I try mysqladmin -u root -p password I get        Access denied for user 'root'@'localhost' (using password: YES)   How can I access MySQL in my Ubuntu server 12.04? When trying to launch Audacity, I get the following error:  Audacity could not find a place to store temporary files. Please enter an appropriate directory in the preferences dialog.   No files or folder have been moved.   I have purged Audacity, deleted any files, etc manually and re-installed   In terminal:  pst007x@pst007x-Serval-Professional:~$ audacity   (process:16390): GLib-GObject-WARNING **: Attempt to add property GnomeProgram::sm-connect after class was initialised  (process:16390): GLib-GObject-WARNING **: Attempt to add property GnomeProgram::show-crash-dialog after class was initialised  (process:16390): GLib-GObject-WARNING **: Attempt to add property GnomeProgram::display after class was initialised  (process:16390): GLib-GObject-WARNING **: Attempt to add property GnomeProgram::default-icon after class was initialised  ** (Audacity:16390): WARNING **: Owner of /tmp/orbit-pst007x is not the current user  Segmentation fault pst007x@pst007x-Serval-Professional:~$    I have not changed any users or added any additional users. All privaleges, etc are default.   Ubuntu 13.10 64bit (all updates applied)  ADDITIONAL:  I can open as gksu audacity  So it looks like privileges is an issue somewhere. I have checked all privileges and all seems ok, but clearly not....  I tried changing the Directory in Preferences to a directory in my home folder:  /home/pst007x/Music/audacity_temp/  but when starting again (not in root) same error...  Any ideas what files could be lacking privileges?   After changing the Directory, when running I get this:  pst007x@pst007x-Serval-Professional:~$ audacity   (process:28364): GLib-GObject-WARNING **: Attempt to add property GnomeProgram::sm-connect after class was initialised  (process:28364): GLib-GObject-WARNING **: Attempt to add property GnomeProgram::show-crash-dialog after class was initialised  (process:28364): GLib-GObject-WARNING **: Attempt to add property GnomeProgram::display after class was initialised  (process:28364): GLib-GObject-WARNING **: Attempt to add property GnomeProgram::default-icon after class was initialised Segmentation fault pst007x@pst007x-Serval-Professional:~$    I checked installed files using Synaptic Package Manager, then checked permissions:  pst007x@pst007x-Serval-Professional:~$ sudo chmod -R 777 /usr [sudo] password for pst007x:  pst007x@pst007x-Serval-Professional:~$ audacity  (process:31026): GLib-GObject-WARNING **: Attempt to add property GnomeProgram::sm-connect after class was initialised  (process:31026): GLib-GObject-WARNING **: Attempt to add property GnomeProgram::show-crash-dialog after class was initialised  (process:31026): GLib-GObject-WARNING **: Attempt to add property GnomeProgram::display after class was initialised  (process:31026): GLib-GObject-WARNING **: Attempt to add property GnomeProgram::default-icon after class was initialised Segmentation fault pst007x@pst007x-Serval-Professional:~$    EDIT. After the above, I rebooted and was no longer able to login. So I did a fresh install. Not a bad thing since the original install on the this system was 10.10. Working ok after fresh install.  Thank you for taking the time to post answers and suggestions.. Buffering GeoJSON file using Python? I'm using Ubuntu Maverick and Virtual Box 3+. I have Windows 7 Ultimate. The problem is that it doesn't detect USB drives in Windows 7, but USB peripherals (mouse + keybord) are working.  I followed , but I can't find the user group vboxusers. How can I continue? I would also like to upgrade to the latest version without any risk (without losing my virtual hard disk drive). What does it "they like me for me" mean? Should Stack Overflow be redesigned with a responsive layout?