I am trying to install wine for the Ubuntu 20.04 LTS (Focal Fossa) that I am using via . These are the steps I have made: sudo dpkg --add-architecture i386 wget -nc https://dl.winehq.org/wine-builds/winehq.key sudo apt-key add winehq.key sudo add-apt-repository 'deb https://dl.winehq.org/wine-builds/ubuntu/ groovy main'  And now the last command in the process seems to have an issue that I have not been able to figure out. The command: sudo apt install --install-recommends winehq-stable  After I insert this command I get this: &quot;Some packages could not be installed. This may mean that you have requested an impossible situation or if you are using the unstable distribution that some required packages have not yet been created or been moved out of Incoming. The following information may help to resolve the situation:  The following packages have unmet dependencies: winehq-stable : Depends: wine-stable (= 6.0.0~groovy-1) E: Unable to correct problems, you have held broken packages.&quot;  How do I solve this?
After upgrading from 10.04 to 12.04 I am trying to install different packages.  For instance ia32-libs and skype (4.0).  When trying to install these, I am getting the 'Unable to correct problems, you have held broken packages' error message.   Output of commands:  sudo apt-get install -f Reading package lists... Done Building dependency tree        Reading state information... Done 0 upgraded, 0 newly installed, 0 to remove and 0 not upgraded.   After running this:  sudo dpkg --configure -a foo@foo:~$ sudo apt-get install -f Reading package lists... Done Building dependency tree        Reading state information... Done 0 upgraded, 0 newly installed, 0 to remove and 0 not upgraded.
If $z$ lies on the circle $|z-1|=1,$ then the value of $\frac{z-2}{z}$ is If $z$ lies on the circle $|z-1|=1, $ then the what is the value of $\frac{z-2}{z}$ ($z\ne 0 \ \text{and} \ 2$ ) is?  What I am aware of : the equation $|z-1|=1$ represent a circle with  centre $(1,0)$ and radius $1$. Also $$|z-1|=1 \implies (z-1)^2=1 \\ \implies  z^2-2z+1=1 \implies z(z-2) =0$$ $\implies z = 0; z =2 $ I think this is wrong.. please suggest thanks.. Why does $x$ divided by zero not equal $x$? Why does $x$ divided by zero not equal $x$? After all, $x$ is not being divided by anything. When to use self over $this? In PHP 5, what is the difference between using self and $this?  When is each appropriate? What are the differences between consumer grade SSDs and the much more expensive enterprise SSDs? I am in need of a terabyte or so of storage space for Lucene indices on a testing server.  I'm having a hard time differentiating between disks like the  for about $450 vs  of dollars.  What concerns should I have regarding the 840 evo, and what should I be looking for?  This server will be used strictly for in-house testing purposes by our development team and will have to put up with periodic load testing. divides, not divides and cardinalities In group theory it happens very often that you want to say: "The order of $H$ divides / does not divide the order of $G$." But the length of | is then always the same:  $ |H| | |G| $ produces |H|||G|  which is not ideal at all. (The negation \nmid has just this length too.) The length of "divides" should be longer than the "cardinality length". I could use   $ |H| \big| |G|$  but then there is no good way to say "does not divide" with the same length. Also, \big| is no solution when the expression has to be used in subscripts.   I thought it was just me, but I asked other group theorists, and nobody had a solution. I hope there is one.  I am seeking a division sign which is a little longer than the usual | , allows negation (with the same length) and proportionally correct use in subscripts (also under \sum etc.). It does not look professional if the "order sign" has the same length as the "divides" sign. (And what about combinations with absolute values, norms - although personally I don't use them as often as group orders.) After upgrade of any app - apps move back from SD Card to phone memory.  After that, to save phone memory, I have to move upgraded app back to SD card.   Is any possibility to avoid this because it is very annoying?  I have Android 5.0.2 on Motorola E second gen phone. How can a computer with dynamic IP work as a webserver? How can a computer with dynamic IP work as a WebServer? how to represent geography or zip code in machine learning model or recommender system? I am building a model and I think that geographic location is likely to be very good at predicting my target variable.  I have the zip code of each of my users. I am not entirely sure about the best way to include zip code as a predictor feature in my model though.  Although zip code is a number, it doesn't mean anything if the number goes up or down.   I could binarize all 30,000 zip codes and then include them as features or new columns (e.g., {user_1: {61822: 1, 62118: 0, 62444: 0, etc.}}.  However, this seems like it would add a ton of features to my model.   Any thoughts on the best way to handle this situation? Whats this white stuff on my board? I'm not an engineer, but my monitor stopped working yesterday (it just wouldn't display anything but still gets power) so I figured I'd like to take it apart and see what went wrong.  At the very least I'd get to see what the inside of a monitor looks like :).  Anyway, I took it apart, and also read around about my issue and it seems the capacitors have gone bad, at least some of them.  However, I also noticed some white elastic stuff all over the board.  Some of them are sticking two capacitors together and to the board, but I also see some from where power socket connects to the board.  My question is, what is the white stuff?  Should I replace all capacitors that have white stuff around it, and should I also replace the power socket part?  Or should I just replace the bulging capacitors and leave it at that?  UPDATE: Infinite set and countable subsets Prove that a set $A$ is infinite if and only if $A$ contains a countable subset $C$. I know I have to build a sequence and then I'll get a countable subset, but I don't know how to build that sequence from a infinite set. Help to do something or help do something? I wrote:      I will help you to acquire Russian.    A native English speaker corrected me saying that 'to' is unnecessary here. Is it correct to say      "I will help you acquire Russian" We have duplicates in our all contacts in Marketing Cloud. To solve this, we want to delete all contacts (audience builder).   We use the Marketing Cloud connector, and send emails to synchronized data extensions. Because of this connector the all contacts will be filled with fresh data after 15 minutes right?  Is there any reason not to do this? What can go wrong? Custom pagebreak in align equation A and B disjoint, A compact, and B closed implies there is positive distance between both sets $$\displaystyle\int \:\sin^n\left(x\right)\cos^m\left(x\right)\mathrm  dx=\frac{\sin^{n+1}x\cos^{m-1}x}{m+n}+\frac{m-1}{m+n}\int \:\sin^nx\cos^{m-2}x\,\mathrm dx$$  I have been trying to solve for over a week now can someone please help me. How do I enumerate the properties of a JavaScript object? How can we replace $\sup$ with $\max$ in definition of subordinate norm for finite-dimensional vector space? a) Determine the number of ways to colour a 1 by n grid using the colours red and white if an even number of squares are to be coloured red.   Note that n is greater than or equal to 1 and the number of red squares could be 0.  I know I must consider the cases of n being even and odd, and determine the sum, from zero to n of the squares being red, where the number of red squares is even. But I just want to make sure I haven’t missed any arrangements by saying a) is $2^{n-1}$ when n is even and $2^{n-1}-1$ when n is odd.  b) Determine the number of ways to colour the squares using red, white and blue if an even number of squares are to be coloured red.  For this case, I can have arrangements including red only, white only, blue only, white and blue only, red and white only, red and blue only, and finally all three colours.  Thank you for any help provided. General theorems for consistency and asymptotic normality of maximum likelihood I'm interested in a good reference for results concerning asymptotic properties of maximum likelihood estimators. Consider a model $\{f_n(\cdot \mid \theta): \theta \in \Theta, n \in \mathbb N\}$ where $f_n(\mathbf x \mid \theta)$ is an $n$-dimensional density, and $\hat \theta_n$ is the MLE based on a sample $X_1, \ldots, X_n$ from $f_n(\cdot \mid \theta_0)$ where $\theta_0$ is the "true" value of $\theta$. There are two irregularities I'm interested in.    The data $X_1, \ldots, X_n$ are not iid and, as a result, the Fisher information about $\theta$ accrues at a rate slower than $n$.  $\Theta$ is a bounded set, and with positive probability $\hat \theta_n$ lies on the boundary. The boundary corresponds to a "simpler" model, and so there is particular interest in whether or not $\theta_0$ lies on the boundary.    My particular questions are   Letting $J_n(\theta)$ denote the observed Fisher information corresponding to $\theta$, and suppose $\theta_0$ lies in the interior of $\Theta$. Under what conditions is $$\left[J_n(\hat \theta_n)\right]^{1/2}(\hat \theta_n - \theta_0)$$ asymptotically normal as $n \to \infty$? In particular, are the regularity conditions similar to the usual ones, with the relevant modification being $J_n(\hat \theta_n) \to \infty$ in some sense? Suppose instead that $\theta_0$ is on the boundary, and again recall that $\hat \theta_n = \theta_0$ happens with positive probability - for concreteness, in a mixed effects model $Y_{ij} = \mu + \beta_i + \epsilon_{ij}$ we can have $\hat \sigma_{\beta}^2 = 0$. Under what conditions does $\hat \theta_n \to \theta_0$ (almost surely or in probability) and under what conditions will $\hat \theta_n = \theta_0$ eventually (this probably fails for the mixed effects model, but corresponds to "oracle" properties for the LASSO and related estimators, so perhaps it is too much to ask for general results)?   Again, just a pointer to a text with results at this level of generality would be greatly appreciated. I was answering a question on Stack Overflow and required to use a trailing space in one of my code snippets.  I formatted it like so:  `&lt;a `   And it renders without the trailing space: &lt;a  Using the &lt;code&gt; tag does account for trailing spaces, though in my case it busts because of the &lt;. Here's my formatting with the &lt;code&gt; tag:  &lt;code&gt;&lt;a &lt;/code&gt;   Here's how it renders:  (Yes, you should see nothing there).  This is a pretty annoying bug. Can we get it fixed?