I'd be very grateful if someone could help me understand the idea behind link functions:  I know that the idea is that we want to map the mean to the $\eta$-vector. Also, I know that the canonical link is the one that makes $\eta=\theta$, where $\theta$ is the parameter.  But why/when do we want to choose the canonical link? When do we have to consider other alternatives?  Thanks a lot!
What's the difference between terms 'link function' and 'canonical link function'? Also, are there any (theoretical) advantages of using one over the other?  For example, a binary response variable can be modeled using many link functions such as logit, probit, etc. But, logit here is considered the "canonical" link function.
Is $f(a)\!=\!0\!=\!f(b)\Rightarrow (x\!-\!a)(x\!-\!b)\mid f(x)\,$ true if $\,a=b?\ $ [Double Factor Theorem] How do I hide Thunderbird from the launcher while running? I have a question for you all.  It's possible to "hide" thunderbird from the unity application bar when thunderbird is running?  For my is unhelpfull see thunderbird on the "mail" tray ( near shutdown button) and the unity "running" application.  If i close thunder with the close button, it don't notify me new email. Expectation inequality for a set and its subset. Given that a function $g(x)$ is a monotone increasing function. Its domain is an interval [c,d]. There are two sets $a_j \in A, j= 1,...,J$ and $b_k \in B,k=1,...,K$  on this interval, which satisfy $c_z \in C = B$\A and $c_z \geq a_j$ for all $a_j \in A$. For example, the interval $[c,d]=[0,8]$,$A=\{0,1,2,3,4,5\}$ and $B=\{0,1,2,3,4,5,6,7\}$. In this case, does the following inequality hold? If yes, could you give me some hints to prove that?  $$\frac{1}{K} \sum_{k=1}^{K}g(b_k) \geq \frac{1}{J} \sum_{j=1}^{J}g(a_j)$$ Is it possible to read a .PST file using C#? I would like to do this as a standalone application, not as an Outlook addin (if that is possible).   If have seen     to this mention  but I am looking to do this programmatically in C#.  I have looked at the  namespace but that appears to be just for Outlook addins.  appears to be able to read PST files, but this is in C (sorry Joel, I didn't ).  Any help would be greatly appreciated, thanks!  EDIT:   Thank you all for the responses! I accepted Matthew Ruston's response as the answer because it ultimately led me to the code I was looking for. Here is a simple example of what I got to work (You will need to add a reference to Microsoft.Office.Interop.Outlook):  using System; using System.Collections.Generic; using Microsoft.Office.Interop.Outlook;  namespace PSTReader {     class Program {         static void Main () {             try {                 IEnumerable&lt;MailItem&gt; mailItems = readPst(@"C:\temp\PST\Test.pst", "Test PST");                 foreach (MailItem mailItem in mailItems) {                     Console.WriteLine(mailItem.SenderName + " - " + mailItem.Subject);                 }             } catch (System.Exception ex) {                 Console.WriteLine(ex.Message);             }             Console.ReadLine();         }          private static IEnumerable&lt;MailItem&gt; readPst(string pstFilePath, string pstName) {             List&lt;MailItem&gt; mailItems = new List&lt;MailItem&gt;();             Application app = new Application();             NameSpace outlookNs = app.GetNamespace("MAPI");             // Add PST file (Outlook Data File) to Default Profile             outlookNs.AddStore(pstFilePath);             MAPIFolder rootFolder = outlookNs.Stores[pstName].GetRootFolder();             // Traverse through all folders in the PST file             // TODO: This is not recursive, refactor             Folders subFolders = rootFolder.Folders;             foreach (Folder folder in subFolders) {                 Items items = folder.Items;                 foreach (object item in items) {                     if (item is MailItem) {                         MailItem mailItem = item as MailItem;                         mailItems.Add(mailItem);                     }                 }             }             // Remove PST file from Default Profile             outlookNs.RemoveStore(rootFolder);             return mailItems;         }     } }   Note: This code assumes that Outlook is installed and already configured for the current user. It uses the Default Profile (you can edit the default profile by going to Mail in the Control Panel). One major improvement on this code would be to create a temporary profile to use instead of the Default, then destroy it once completed. If the topology of a space  has a countable base, then each base contains a countable subfamily which is also a base. Connecting multiple grounds As I'm relatively new to the electronics world, I was wondering if you can connect multiple  ground terminals (corresponding to several different voltage outputs) to the same ground. Or do they each need their own?  In my case I have 5 lines, one 12V, one 3.3V, two 5V and one variable from a 12V in using a  voltage regulator that already has its own ground. So I'm guessing that each would need its own ground, but it is never bad to ask. What are Harry, Ginny, Ron and Hermione's professions? After the end of the Second Wizarding War Harry Potter later married Ginny Weasley, and the couple had three children of their own: two sons James Sirius, Albus Severus, and one daughter Lily Luna. What are Harry and Ginny's professions? I heard that Harry became an Auror, but what about Ginny, Ron, and Hermione? Is there any good reason that an empty set of round brackets (parentheses) isn't valid for calling the default constructor in C++?  MyObject  object;  // ok - default ctor MyObject  object(blah); // ok  MyObject  object();  // error   I seem to type "()" automatically everytime. Is there a good reason this isn't allowed? I met a guy on a sugar daddy dating site and we talked, I told him my situation and he said he would help.   He asked for my bank account information and I told him you can use cash app or PayPal to go through. He said his account manager deals with his finances. So I set up an account with a bank that I don’t use so that my primary account isn’t used.  Eventually he was in the process of sending me money and we had agreed on a amount that wasn't crazy. But then he asked for my address and I asked why and he said just wondering. Then said he wanted to send me a surprise for being his baby. Which I didn’t give.  Then later on he sent the money and said he sent me a bonus and that I was supposed to use that to pay his mothers caregiver, which he didn’t mention until after.  I kept questioning him and he was saying that he works in construction and he’s trusting me to carry out the errand. Then he said don’t let him down and I asked him if he was threatening me and he kept saying I need this done but didn’t really answer my question.  Am I being scammed? I’m about to change my password but is this a scam? How to use sed to replace only the first occurrence in a file? How to have colors in Milky-way? Many photos of Milky-way show it in nice colors instead of just the black of sky and white of the stars. Is the key to having those colors in the capturing of the image or in the post processing, or both? Or am I just doing it in a wrong time of year when the visible part of Milky-way is simply not showing color?  Here is a sample photo of how Milky-way looks like in Finland in September:    APS-C sensor camera, 18 mm, 30 sec, f/3.5, ISO 3200 - captured in pitch-black darkness of Finnish countryside, far far away from any citylights, at time when moon was still below visible horizon.  What I'd like to achieve is something like the photo in Vivek's answer to   I've just bought a wireless shutter release for longer bulb exposures, and have plans to build a barn-door tracking mount. But is longer exposure the needed trick, or what is? Significance of $\sqrt[n]{a^n} $?! There is a formula given in my module:  $$ \sqrt[n]{a^n} = \begin{cases}  \, a  &amp;\text{ if $n$ is odd } \\  |a| &amp;\text{ if $n$ is even } \end{cases} $$  I don't really understand the differences between them, kindly explain with an example. I suspect that the name server provided by my ADSL modem/router is buggy. Whenever I browse to a website for the first time in ubuntu, resolving the domain name takes at least 15 seconds.  To work around that problem, I changed the nameserver configuration in /etc/resolv.conf from 192.168.1.1 (my ADSL modem) to 8.8.8.8 (google's primary DNS). This seems to fix the problem, but unfortunately my changes to /etc/resolv.conf are overwritten by "NetworkManager" at each startup.  What is the proper way to configure the name server IP in ubuntu 10.4? How to show that $\lim\limits_{x \to \infty} f'(x) = 0$ implies $\lim\limits_{x \to \infty} \frac{f(x)}{x} = 0$? Efficiently selecting a set of random elements from a linked list Is it possible to paginate posts correctly that are random ordered? I found this problem on Wordpress Support and the topic unfortunately is now closed.  I have this same issue... (read below)    We have created a site where members can recommend things like favourite books, movie, songs, etc. For this problem I will use the Movies page as an example.  The "Movies" page is ultimately a custom page template that asks wordpress to display a random list of ALL posts that have been given the category "movies" (category 31). It displays the title of these movies in random order using the code below.  &lt;?php  $rand = new WP_Query("cat=31&amp;showposts=-1&amp;orderby=rand");  while($rand-&gt;have_posts()) : $rand-&gt;the_post(); ?&gt;" rel="bookmark" title="Permanent Link to &lt;?php the_title_attribute(); ?&gt;"&gt;&lt;?php the_title(); ?&gt; &lt;?php endwhile; ?&gt;   Problem is the list is getting rather long and I would like to split it up into two or more pages of about 10 movies each. To achieve this, I have used the code below.  &lt;?php  $page = (get_query_var('paged')) ? get_query_var('paged') : 1;  query_posts("cat=31&amp;orderby=rand&amp;showposts=10&amp;paged=$page");  while ( have_posts() ) : the_post()  ?&gt;" rel="bookmark" title="Permanent Link to &lt;?php the_title_attribute(); ?&gt;"&gt;&lt;?php the_title(); ?&gt; &lt;?php endwhile; ?&gt;   But there is a problem because although it splits up the data into pages of 10 posts each (paginates), it fails to include a new set of 10 posts on page 2 and so forth. In other words, because it is listing things in a random order, it just goes out and gets another 10 random posts (or in this case movie titles). As a result, we have some repeated movie title posts instead of a new set of 10 random movie titles on page 2, etc.  My question is - what can I add to this code to get wordpress to "remember" which random 10 posts it included on page 1, and then have it get a new set of 10 posts to put on pages 2, 3, etc. until all posts are displayed. I would like there to be only one occurrence of a post per page when sorted randomly in sets of 10. Can Ubuntu really run all Windows programs? Sudden increase in timing when summing over 250 entries How to clip an Openlayers OSM Background to a Vector Boundary? I'm new to QGIS. In my project i have two layers: one is my vector (city boundaries) and the other is the OSM (obtained with the plugin). How can I cut the OSM along the edges of the vector? I want to obtain only a region of the map, to save it as an image. How to derive $[x_i, F(\vec p)] = i \hbar \frac {\partial F(\vec p)}{\partial p_i}$ indicates that the following relation is &quot;easily shown&quot;: $[x_i, F(\vec p)] = i \hbar \frac {\partial F(\vec p)}{\partial p_i}$, however I'm having some trouble showing it.  I think I'm just messing up the multivariable Taylor expansion (of $F(\vec p)$).  Can one of you walk me through it or link me to site that will?  Thanks.  Edit: Here's what I get (without using $x=i\hbar \frac \partial {\partial p}$ which I haven't proven yet): $$F(\vec p) = F(\vec 0) + \sum^3_{j=1} \frac {\partial F(\vec 0)}{\partial p_j}p_j + \frac 12 \sum^3_{k=1} \sum^3_{j=1} \frac {\partial^2 F(\vec 0)}{\partial p_k \partial p_j} p_j p_k + \dots$$ so $$(x_iF(\vec p) - F(\vec p)x_i)\psi$$ $$= x_i[F(\vec 0)\psi -i\hbar \sum^3_{j=1} \frac {\partial F(\vec 0)}{\partial p_j}(\nabla \psi)_j + \hbar^2\frac 12 \sum^3_{k=1} \sum^3_{j=1} \frac {\partial^2 F(\vec 0)}{\partial p_k \partial p_j} (\nabla \psi)_j (\nabla \psi)_k + \dots]$$ $$- [F(\vec 0)x_i\psi -i\hbar \sum^3_{j=1} \frac {\partial F(\vec 0)}{\partial p_j}(\nabla x_i\psi)_j + \hbar^2\frac 12 \sum^3_{k=1} \sum^3_{j=1} \frac {\partial^2 F(\vec 0)}{\partial p_k \partial p_j} (\nabla x_i\psi)_j (\nabla x_i\psi)_k + \dots]$$ where $$(\nabla x_i\psi)_j=\frac {\partial x_i}{\partial x_j}\psi + x_i\frac {\partial \psi}{\partial x_j} = \delta_{ij}\psi + x_i\frac {\partial \psi}{\partial x_j}$$ and $$(\nabla x_i\psi)_j(\nabla x_i\psi)_k=(\delta_{ij}\psi + x_i\frac {\partial \psi}{\partial x_j})(\delta_{ik}\psi + x_i\frac {\partial \psi}{\partial x_k}) = \delta_{jk}\psi^2 + x_j \psi \frac {\partial \psi}{\partial x_k} + x_k \frac {\partial \psi}{\partial x_j} \psi + x_i^2 \frac {\partial^2 \psi}{\partial x_j \partial x_k}$$ Thus: $$(x_iF(\vec p) - F(\vec p)x_i)\psi$$ $$=  x_i[F(\vec 0)\psi -i\hbar \sum^3_{j=1} \frac {\partial F(\vec 0)}{\partial p_j}\frac {\partial \psi}{\partial x_j} + \hbar^2\frac 12 \sum^3_{k=1} \sum^3_{j=1} \frac {\partial^2 F(\vec 0)}{\partial p_k \partial p_j} \frac {\partial \psi}{\partial x_j} \frac {\partial \psi}{\partial x_k} + \dots]$$ $$- [F(\vec 0)x_i\psi -i\hbar \sum^3_{j=1} \frac {\partial F(\vec 0)}{\partial p_j}(\delta_{ij}\psi + x_i\frac {\partial \psi}{\partial x_j}) + \hbar^2\frac 12 \sum^3_{k=1} \sum^3_{j=1} \frac {\partial^2 F(\vec 0)}{\partial p_k \partial p_j} (\delta_{jk}\psi^2 + x_j \psi \frac {\partial \psi}{\partial x_k} + x_k \frac {\partial \psi}{\partial x_j} \psi + x_i^2 \frac {\partial^2 \psi}{\partial x_j \partial x_k}) + \dots]$$ From here it doesn't look like those higher order terms are all going to cancel out.