Accepted answer not ranked first
Accepted answer appearing below top voted
The pdf of $\frac{X_1-\bar{X}}{S}$ Suppose $X_1, X_2,...,X_n$ be i.i.d from $N(\mu,\sigma^2)$ with unknown $\mu \in \mathcal R$ and $\sigma^2&gt;0$  Let $Z=\frac{X_1-\bar{X}}{S},$ S is the standard deviation here.  It is can be shown that  $Z$ has the Lebesgue p.d.f.  $$f(z)=\frac{\sqrt{n} \Gamma\left(\frac{n-1}{2}\right)}{\sqrt{\pi}(n-1)\Gamma\left(\frac{n-2}{2}\right)}\left[1-\frac{nz^2}{(n-1)^2}\right]^{n/2-2}I_{(0,(n-1)/\sqrt{n})}(|Z|)$$  My question is then how to get this pdf?  The question is from  in example 3.3.4  to find the UMVUE of $P(X_1 \le c)$. I can understand the logic and procedures to find the UMVUE but don't know how to get the pdf.  I think this question also relate to this    Thank you very much for help or point to any related references will be also appropriated. Local translations in curved spacetime A global Poincare transformation on a scalar field induces  $$\delta(a, \lambda)\phi(x) = [a^{\mu}+\lambda^{\mu\nu}x_{\nu}]\partial_{\mu}\phi(x). \tag{11.46}$$  In curved spacetime we replace $a^{\mu} \rightarrow \xi^{\mu}(x)$, but I read that in fact this new spacetime dependent parameter $\xi^{\mu}$ eats up the effect of the "orbital part of global Lorentz", so that in fact $\xi^{\mu}(x)=a^{\mu}(x)+\lambda^{\mu\nu}(x)x_{\nu}$, and we effectively have to treat $\xi^{\mu}$ and $\lambda^{ab}$ (the spin part of Lorentz) as the basis for gauge transformations.  I don't understand why this should be, any comments that might help? Why does the new local translation parameter include the effect of what globally used to be rotations/boosts?  References:   D.Z. Freedman &amp; A. Van Proeyen, SUGRA, 2012; p. 225. I need to get a history of which processes have run on my Windows machine, and when they were run.  However, I cannot use any third-party software, as I cannot guarantee that it will always be running.  Is there any way to get this information only using Windows built-in functionality? Product of manifolds & orientability Basically I would like to use on website a "Norasi" font, that was bundled with Ubuntu, but I cannot find any license. Am I allowed to distribute that font through website? What is its license? Is "Is it a girl or a boy?" really calling the infant an "it"? So, my boss comes in, railing that "English is a stupid language!" Since this is pretty much a thrice-weekly occurrence 'round these parts, I barely raised an eyebrow, and waited for him to continue.   "Mary just wrote to tell us that she's back from maternity leave, and I want to congratulate her and ask whether she had a girl or a boy, but I can't do it without calling the child an 'it'!" I blinked, then confirmed that yes, he believes the it in "Is it a boy or a girl" is the impersonal pronoun, the same word you'd apply to an apple or a house.  Is it the 'thing' pronoun, really? Or is it just a placeholder of some sort? I used to believe the latter: I gave the boss a mini-lecture about  and the . He wasn't convinced, however, and now he's got me doubting too. (Harumph. I really should know better than to listen to the boss.)  I'm not asking about politeness, here; the former title was to be taken somewhat facetiously. I'm wondering about the grammar: what role is that "it" playing in that sentence? Is it a personal pronoun (and thus the infant has grounds for feeling offended) or a dummy pronoun (and thus those who perceive a politeness issue are just misunderstanding the grammar)? The subscript size for formulas in beamer presentation First of all sorry because this question may be duplicated. I don't know why the question was uploaded with another user's name and I can't edit it (may be you can delete the previous question with the same title). The question is the following:  I am creating a beamer presentation where I have a lot of formulas. Between the packages used I have \usepackage{amsmath} and the theme for the presentation is \usetheme{Warsaw}.  As it can be seen in the attached picture, the size of the sub(super)script is bigger than the normal writting.     Anyone knows a set of basic packages in order to get the classical formulas, without these size changes?  The code is the following  \documentclass[]{beamer}  \setbeamercovered{transparent}   %--------------------------% % To add enumeration index %--------------------------% \addtobeamertemplate{navigation symbols}{}{%     \usebeamerfont{footline}%     \usebeamercolor[fg]{footline}%     \hspace{1em}%     \insertframenumber / \inserttotalframenumber  } \setbeamercolor{footline}{fg=black} \setbeamerfont{footline}{series=\bfseries}   %---------------------------------------------------------------------------------%  \usepackage{amsmath,amssymb}    % Theme for the presentation \usetheme{Warsaw} % Change the colour \usecolortheme{spruce}  \setbeamertemplate{footline}{}  % Delete the footline with the names    \begin{document}    \begin{frame} \frametitle{\textbf{Algorithm}: step \texttt{s}}   \scriptsize  \textbf{STEP \texttt{s}}  \vspace{0.25cm}  Let $B^{(s-1)}$ be the variable  for the $\mathit{(s-1)}$-th step, let's take the sets $I_+^{(s-1)}$ and $I_-^{(s-1)}$ of length $r_+^{(s-1)}$ and $r_-^{(s-1)}$ respectively,and define:\\  \vspace{0.25cm}  \begin{center}  $B^{(s+)}= \sqrt{\tfrac{(r_+^{(s-1)} + 1)*r_-^{(s-1)}}{r_+^{(s-1)} + r_-^{(s-1)} + 1}} $  \end{center}   \end{frame}  \end{document} Shapefile: "table1.shp"   Field name: "Name" Field name: "Result"   Flat file: "referenceTable"   Field name: "STREET" Field name: "AKA"   I need to compare the value "Name" in "table1.shp" to the value "STREET" in "referenceTable"  If the values are the same then put the "AKA" value into the "Result" in "table1.shp"     Here is my code.  I got stuck on accessing the elements from the array  import arcpy, os, sys, string from array import *   table1 = "G:\\xStreetNew\\table1.shp" table1_column = ['Name', 'Result'] referenceTable = "G:\\xStreetNew\\Test.gdb\\referenceTable" referenceTable_column = ['STREET', 'AKA']  referenceTable_List = [] with arcpy.da.SearchCursor(referenceTable, referenceTable_column) as rCur: for r_row in rCur:     reference_row = r_row[0].split(",")     referenceTable_List.insert(0,reference_row) ##print sorted(referenceTable_List)  Table1_Update_Cursor = arcpy.da.UpdateCursor(table1, "Name") for row in Table1_Update_Cursor:   if row[0] == None:   row[0] = row[0] else:   row[0] = row[0].replace(";",",")   Table1_Update_Cursor.updateRow(row)  table1_List = [] with arcpy.da.SearchCursor(table1, table1_column) as tCur: for t_row in tCur:     row = t_row[0].split(",")     table1_List.insert(0,row) ##print sorted(table1_List)  Table1_row = len(table1_List) Table1_column = len([table1_List]) ref_row = len(referenceTable_List) for i in range(0,Table1_row):  #Table Row   for ii in range(0,Table1_column):   #Table Column     print table1_List[i][ii]   Below was my old post.  Sorry for the confusion.  I have a shapefile named "table1.shp".     I would like to get all values from fielname "Name" from this table and put them into a list. Able to output each element from the list     So far, I'm able to create a list but not too sure how to get to value "AVENUE 33" or "CHAPMAN ST"  This is my code:  import arcpy, os, sys, string from array import *   table1 = "G:\\xStreetNew\\table1.shp" referenceTable = "G:\\xStreetNew\\Test.gdb\\referenceTable" cursor = arcpy.da.UpdateCursor(table1, "Name") for row in cursor: if row[0] == None:     row[0] = row[0] else:     row[0] = row[0].replace(";",",") cursor.updateRow(row) table1_column = ['Name'] table1_curObj = arcpy.da.SearchCursor(table1, table1_column) table1_List = [] for row in table1_curObj:    table1_row = row[0].split(",")    table1_List.insert(0,table1_row)    print table1_List[0] There are many examples of this, and I'd like to give a few:   A person who puts a lot of effort to help the community and earns reputation points. But that reputation is the motivation behind helping the community, not because they really want to. A student approaches a professor, and helps them in their teaching and doing research in order to have a good LOR (letter of recommendation). To a SEO, the content of the website must be good (well, this one is a little tricky, but you get the spirit.)   I'm not saying that the reputation/LOR/high-ranked is not deserved. It is. I just want to focus more on the selfish reason(s) behind that.  Any kind of answer can be accepted: single word, phrase, proverb or idiom. Is it possible to make an underfull tabulary spread out? With this MWE  \documentclass{article} \usepackage{tabulary}  \begin{document}  \hrule  \begin{center}   \begin{tabulary}{\textwidth}{|L|L|L|}     foo&amp;bar&amp;baz   \end{tabulary} \end{center}  \hrule  \end{document}   I get a table which is narrower than the page:   But I'd like the table to be spread out to \textwidth like tabularx would do. Is this possible?  Or is there an alternative approach? How does the secondary effect of the Heat Metal spell work? The  spell description states:  If a creature is holding or wearing the object and takes the damage from it, the creature must succeed on a Constitution saving throw or drop the object if it can. If it doesn't drop the object, it has disadvantage on attack rolls and ability checks until the start of your next turn...  I am unsure how this disadvantage mechanic functions as a whole. When do you suffer from it and in what ways (if any) can you end it? For example: What happens if you fail the save but cannot drop the object? Does dropping the object later, on your turn, do anything? What happens if you succeed on the save?  Does dropping the object later, on your turn, do anything? I would like it to be assumed that ; however, heat metal can still force you to drop the weapon. I would also like it to be assumed that . Value of $\frac{x^n -a^n}{ x-a}$? If an ideal contains the multiplicative identity, then it is the whole ring I have to prove that if $I\subseteq R$ is an ideal, and $1\in I$, then $I=R\,$. So I know $I\subseteq R$ is an ideal if $a,b\in I$ implies $a+b\in I$, and if $a\in I$, $r\in R$, then $ra\in I$. I'm finding it hard to put this into words. Since $1\in I$ and $I\subseteq R$ is an ideal, then let $a=1$ and $r=1$ so $1\cdot 1\in R\,?$ No updates since a long time Using Ubuntu, I have a habit of running: sudo apt update sudo apt upgrade   on every startup. But for a month, I guess, there have been no updates whatsoever. The message shows: All packages are up to date  Now I am starting to worry. Can there be a fault in my update manager? As far as I know, I've made no changes to the package manager settings. But no updates for almost a month seems kind of weird. Any feedback would be helpful. Thanks. First of all, am I being crazy in thinking that if $\lambda$ is an eigenvalue of $AB$, where $A$ and $B$ are both $N \times N$ matrices (not necessarily invertible), then $\lambda$ is also an eigenvalue of $BA$?  If it's not true, then under what conditions is it true or not true?  If it is true, can anyone point me to a citation?  I couldn't find it in a quick perusal of Horn &amp; Johnson.  I have seen a couple proofs that the characteristic polynomial of $AB$ is equal to the characteristic polynomial of $BA$, but none with any citations.  A trivial proof would be OK, but a citation is better. Let $D$ be a , and let $a,b,x \in D \setminus \{0\}$. Then is it true that $\gcd (ax,bx)=x \cdot \gcd (a,b)$ ?    Let $c=\gcd (a,b)$ and $d=\gcd(ax,bx)$, then as $cx|ax$ and $cx|bx$ so $cx|d$. We would be done if we could show $d|cx$, but I am unable to show that. Please help me to solve this problem. What are the relationship between administrators groups of domain, dev computer and of Sharepoint services? I know-know I can search and read but anyway I would need to ask in order to escape possible typos, personal misunderstandings and to better remember.     I develop on a machine with installed Sharepoint 2010 Sever where I have local groups:     Administrators Description: Administrators have complete and unrestricted access to the computer/domain   WSS_Admin_WPG Description: Members of this group have write access to system resources used by Microsoft SharePoint Foundation      **Does the description of "Administrators" ("computer/domain") imply all privileges of "WSS_Admin_WPG" ?    Does the description of **WSS_Admin_WPG (in part of "system resources used by Microsoft SharePoint Foundation") imply Sharepoint Server?**    The WSS_Admin_WPG group has entries of:     "BUILTIN\Administrators (S-1-5-32-544)" group   and some user domain accounts   Is "BUILTIN\Administrators (S-1-5-32-544)" group the same (alias to?) as "BUILTIN\Administrators" entry I observe among Sharepoint Farm Administrators (through "Central Administration")?       Is the entries of domain accounts excessive (or necessary)     in "WSS_Admin_WPG" if these accounts make part of "Administrators" group?     in "Farm Administrators" if these accounts are part of "BUILTIN\Administrators (S-1-5-32-544)" group?     What are relationship (difference) between "BUILTIN\Administrators" and "Administrators"? Expansion of $(1+\sqrt{2})^n$ I was asked to show that $\forall n\in \mathbb N$ there exist a $p\in \mathbb N^\ast$ such that $$(1+\sqrt{2})^n = \sqrt{p} + \sqrt{p-1}$$   I used induction but it wasn't fruitful, so I tried to use the binomial expansion of $(1+\sqrt{2})^n$ but it seems I lack some insight to go further.   Any hint is welcomed. How can I stop Nautilus from dereferencing symlinks? I use symbolic links to tidy my home folder. This works well in the terminal, since the links create the illusion of normal folders:    In Nautilus, however, the links behave more like , immediately teleporting me to their target:    This is particularly troubling when¹ I later want to navigate "up" to the parent folder, as it strands me somewhere outside of the tree I've carefully tidied.  How can I make Nautilus show symbolic links as normal folders, like the terminal does?  Details   Nautilus did not dereference symlinks in Ubuntu 12.10:   Maybe this new behavior is just a bug? I'm not sure how to tell. Here's what I know:   It's not on the . I've skimmed the  and didn't see anything related. The Nautilus mailing list archive . I received no response from about 120 idlers when posing the question on the GNOME IRC channel. A change was made in Nautilus 3.6 to .  ¹ This is an example. A workaround for this particular scenario does not constitute an answer to my question. Since people seem to be interested in discussing it, though:   Using the Back button is not a suitable workaround; it does not always take me to the parent folder. You can navigate up by pressing Alt+Up. The desired behavior in this example is for "up" to navigate to the parent folder of the symbolic link. The current behavior is to navigate to the parent folder of the target of the symbolic link. Custom Button on Lightning Experience I created a custom button Send Email in Lightning Experience. The problem is that button in visible in feed section layout, but I want to put it in the upper right corner of page layouts near Edit, Clone, Delete ecc....  How Can I do that? Thanks  I add an image that explain the situation.    EDIT: I would like to explain you better my problem.  I have created three custom quick action:   I have added them to the case page Layout as you can see    I would like to understand the reason why I don’t see these three custom action in the Page Layout in the section in the top right