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T-SQL stored procedure that accepts multiple Id values Is there a graceful way to handle passing a list of ids as a parameter to a stored procedure?   For instance, I want departments 1, 2, 5, 7, 20 returned by my stored procedure. In the past, I have passed in a comma delimited list of ids, like the below code, but feel really dirty doing it.   SQL Server 2005 is my only applicable limitation I think.  create procedure getDepartments   @DepartmentIds varchar(max) as   declare @Sql varchar(max)        select @Sql = 'select [Name] from Department where DepartmentId in (' + @DepartmentIds + ')'   exec(@Sql) How do I disable a bottom panel with the list of open windows on GNOME 3? Cardinality of the set of all (real) discontinuous functions This is a question from the book Introduction to Set Theory (Hrbacek and Jech), chapter 5, question 2.6.     (Show that) The cardinality of the set of all discontinuous functions is $2^{2^{\aleph_0}}$. [Hint: Using exercise 2.5, show that $|\mathbb{R}^\mathbb{R}-C|=2^{2^{\aleph_0}}$ whenever $|C|\leq 2^{\aleph_0}$.]   Exercise 2.5, as referred to in the hint, provides the following result:     For $n&gt;0$, $n \cdot 2^{2^{\aleph_0}} = \aleph_0 \cdot 2^{2^{\aleph_0}} = 2^{\aleph_0} \cdot 2^{2^{\aleph_0}} = 2^{2^{\aleph_0}} \cdot 2^{2^{\aleph_0}} = (2^{2^{\aleph_0}})^n = (2^{2^{\aleph_0}})^{\aleph_0} = (2^{2^{\aleph_0}})^{2^{\aleph_0}}=2^{2^{\aleph_0}}$.   The only way I could answer this question was by making use of two theorems stated later  in the same textbook. First, it is easy to prove that $|\mathbb{R}^\mathbb{R}-C|$ is an infinite set, since if it was finite we would have \begin{equation}2^{2^{\aleph_0}}=|\mathbb{R}^\mathbb{R}|=|\mathbb{R}^\mathbb{R}-C|+|C| \leq n+2^{\aleph_0}=2^{\aleph_0}&lt; 2^{2^{\aleph_0}},\end{equation}which is a contradiction. Now I make use of a theorem requiring the axiom of choice: For every infinite set $S$ there exists a unique aleph $\aleph_\alpha$ such that $|S|=\aleph_\alpha$. So I let $|\mathbb{R}^\mathbb{R}-C|=\aleph_\alpha$ for some ordinal $\alpha$. Now assume $\aleph_\alpha &lt; 2^{2^{\aleph_0}}$. Here I make use of another theorem, which i am not sure I am allowed to do: For every $\alpha$ and $\beta$ such that $\alpha \leq \beta$, we have $\aleph_\alpha+\aleph_\beta=\aleph_\beta$. So I basically then say either $|\mathbb{R}^\mathbb{R}-C|+|C|=\aleph_\alpha$ or $|\mathbb{R}^\mathbb{R}-C|+|C|=2^{\aleph_0}$, depending on whether $\aleph_\alpha \leq 2^{\aleph_0}$ or vice-versa. The assumption I am making is that $2^{\aleph_0}=\aleph_1$, which as I understand it is basically equivalent to the continuum hypothesis, as we are saying that the least uncountable number is $\aleph_1$ (but by the previous theorem requiring the axiom of choice this seems reasonable?). So anyway assuming I can do that, we again have a contradiction since then we are saying $|\mathbb{R}^\mathbb{R}|=2^{\aleph_0}&lt;2^{2^{\aleph_0}}$ or $|\mathbb{R}^\mathbb{R}|=\aleph_\alpha &lt; 2^{2^{\aleph_0}}$.  My main problem with my proof is that I am not making use of the result given in exercise 2.5 as suggested in the hint. Can anyone help with a proof making use of this result (stated in the second block quote above). How do remove "Ignoring file in directory /etc/apt/sources.list.d/ as it has an invalid filename extension? Suppose $X_1,\ldots,X_n$ are a random sample of $U(-\theta,\theta)$ with $\theta&gt;0$. How can find $$ E\left(|X_1|\ \big|\max |X_i| \right) $$ that $1\leq i\leq n$? I want to make an arena where mobs will fight each other and a player can bet on one side or the other. For example: There are 2 skeletons in dyed armor; red and blue. Each color representing a team. When they spawn I want them to fight each and then when one dies I want it to announce which team is the winner and give the player the "money" due. I'm just not sure how to get the skeletons to attack each other without a player instigating it. Is it possible to add entries to the bibliography based on keyword using Biblatex/Biber and within the document code? I would like to print a bibliography which includes all entries with a certain keyword (and possibly some additional entries).  I know that I can filter by keyword when I print the bibliography using  \printbibliography[keyword=&lt;keyword&gt;]   but this will only print entries which I have cited. I could, of course, use  \nocite{*}   to add all entries to the bibliography and then print just those I want.  However, this will make my .bbl file huge as my database is enormous.  Another possibility is to use Biber or another tool to prepare a document-specific .bib file containing only those entries with the keyword. However, this would need to be recreated if additional entries with the keyword are added to my main database files.  Here's an MWE to play with, annotated to indicate the way I'd like it to work ;), and the disadvantages of the way it (almost) works.  The issue of excluding explicitly cited entries is less of an issue for me. The thing I'd really like to work around is adding the entire database contents to the .bbl.  \RequirePackage{filecontents} \begin{filecontents}{\jobname.bib} @book{new-stuff,     author          =   {Watt, Brian},     title           =   {Happy Times with Penguins},     publisher       =   {Harvard University Press},     address         =   {Cambridge, MA},     year            =   1995,     pagination      =   {section},     keywords        =   {happy}} @book{den-coll,   author                =   {Till, Jr., Dennis E.},     booktitle           =   {Penguin Land and Further North: Human Influence},     title               =   {Penguin Land and Further North: Human Influence},     publisher           =   {Oxford University Press},     year                =   2008,     address             =   {Oxford and New York},     keywords            =   {penguin, human}} @book{old-stuff,   author                =   {Harvey, Jr., Dennis E.},     booktitle           =   {Penguin Land and Further North: Human Influence},     title               =   {Penguin Land and Further North: Human Influence},     publisher           =   {Someone \&amp; Daughters},     year                =   1567,     address             =   {Oxford},     bookpagination      =   {paragraph},     keywords            =   {penguin}} \end{filecontents} \documentclass{article} \usepackage[defernumbers=true]{biblatex} \bibliography{\jobname} \begin{document}  \cite{old-stuff}  % what I would like to work % \nocite[keyword=happy] % \printbibliography  % what does work - except that \cite{old-stuff} is ignored and, more importantly, den-coll is added to the .bbl \nocite{*} \printbibliography[keyword=happy]  \end{document} How to restore a system after accidentally removing all kernels? I was trying to delete old kernels, but I must have deleted all of the kernels on my Ubuntu 11.04 laptop. Is there any way to fix this via USB boot or mounting hard drive on another system? How to write conditional equations with one-sided curly brackets What can I expect from a Skype interview for PhD admissions? Is there a difference between taking a far shot on a 50mm lens and a close shot on a 35mm lens? I am looking for a prime lens to pick up, and I'm wondering if there is any difference between 35mm and 50mm in terms of the end product if I just stand back more with the 50mm. I use the Sony a6000 and am looking at the SEL50F18 and SEL35F18.  I understand that something like a fish eye lens will give a different effect, but is that what is going on in 35 vs 50mm? Or is 50mm effectively just taking a 35mm and cropping the center out (but with increased quality)? Autofilling fields based on another field How to connect faces between 2 edge loops? I'm trying to fill empty space in my mesh, and I looked at the knife tool page on the Blender Wiki, and I'm not sure if there's a way to make it so that a new edge is made using the knife tool. I took a screenshot, and hopefully it'll explain better than I can of what I'm trying to do. Oh and I'm using Blender version 2.71, by the way. Numbering in algorithmicx I have simple code:  \documentclass{article}  \usepackage{algorithm}  \usepackage{algpseudocode}  \begin{document}  \begin{algorithm}   \caption{Examples}\label{alg:Examples}   \begin{algorithmic}[1]   \State $X=45$   \State $X=45$   \State $X=45$   \State $X=45$   \State $X=45$    \end{algorithmic} \end{algorithm}          \end{document}     How to put a point after the number of the algorithm? I use chapters in report:  \documentclass[a4paper,12pt]{report}  \usepackage{algorithm}  \usepackage{algpseudocode}  \begin{document}  \chapter{Chapter 1}  \begin{equation} X_2=4 \end{equation}  \begin{algorithm}   \caption{Examples}\label{alg:Examples}   \begin{algorithmic}[1]   \State $X=45$   \State $X=45$   \State $X=45$   \State $X=45$   \State $X=45$    \end{algorithmic} \end{algorithm}  \end{document}     How to change the numbering to take into account the chapters? Google Chrome can't play some flash videos Some flash videos won't play in Chrome, while they play perfectly in other browsers. The player will load, but instead of showing a preview of the video and a play button on the middle of the video, the screen is black:    Here's an example of a  and here is a . The video that works is a Youtube video embedded on the site with , while the nonworking one is probably hosted by the website itself. In both cases it is using Flash. The site is popular and others don't seem to be experiencing this problem.  I am running Win7 64bit and I have no ad blockers installed.  I have found two common solutions to this problem, neither of which work:  Solution #1: .  Solution #2: .  Any suggestions? Prove that $f$ analytic, $f(x) \in \mathbb{R}$ for all $x \in \mathbb{R}$ implies $f(\overline{z})=\overline{f(z)}$ Let $U\subset \mathbb{C}$ be a nonempty connected open set such that for every $z\in U$, $\overline z\in U$.  Let $f$ be analytic on $U$. Suppose $f(x)\in\mathbb R$ for every $x\in U\cap\mathbb R$. Prove that $f(\overline{z})=\overline{f(z)}$ for any $z \in U$.    By definition, I know that $f$ analytic on $U$ means that for every $z_0 \in U$, there exists $r&gt;0$ and a sequence of complex numbers $\left(a_n\right)_{n=0}^\infty$ such that $f(z)=\sum_{n=0}^\infty a_n\left(z-z_0\right)^n$ on the disc $D(z_0,r)\subseteq U$. I see that $f$ takes points without imaginary components to other points without imaginary components. But I don't see how this implies a symmetry that $f(\overline{z})=\overline{f(z)}$ for $z \in \mathbb C \setminus \mathbb R$. It seems like a very strong conclusion and I'm not sure how I would prove it.  I have also shown in the preceding question that $U\cap\mathbb R$ contains an open interval, however I am not sure if that detail is meant to be helpful to this question. Can a familiar attune and wear or use a magic item? Is it possible for a familiar to attune to and then wear or wield a magic item? Find the Unit Vector of a Three Dimensional Vector What is a "slug" in Django? This is a question in Ahlfors in the section on the argument principle: How many roots of the equation $f(z)=z^4+8z^3+3z^2+8z+3=0$ lie in the right half plane?  He gives a hint that we should "sketch the image of the imaginary axis and apply the argument principle to a large half disk."  Since $f$ is an entire function, I think I understand that the argument principle tells us that for any closed curve $\gamma$ in $\mathbb{C}$, the winding number of $f(\gamma)$ around 0 is equal to the number of zeros of $f$ contained inside $\gamma$.  How would you go about actually applying the hint though? I am having trouble figuring out what the image of a large half disk under $f$ would look like.