I have a Acer Aspire E15-512-C0GA laptop  I am changing the HDD to an 256GB SSD.  is there anything special that I need to do while installing ubuntu 18.04?  thank very much and appreciate all your support  Vik
I'm absolutely new to Linux. I would like to know how to install Ubuntu alongside the pre-installed Windows 8+ OS.  Should I do it with Wubi, or through the Live USB/DVD?  What steps do I need to take to correctly install Ubuntu?
How do I force TeX to completely use the 1st column? How do I force TeX to completely use the 1st column before writing to the second column?  Right now I dont have enough content to fill one whole page. So the left and right columns are equally filled, leaving 25% symmetrical empty page at bottom. How do I fill the left column first, and then the right?  \documentclass{article}  \usepackage{multicol} \usepackage[scale=0.9]{geometry} \usepackage{amssymb} \renewcommand{\labelitemi}{\tiny$\blacksquare$} \begin{document} \begin{multicols}{2}      %lots of text goes here  \end{multicols} \end{document} When should you use WP_Query vs query_posts() vs get_posts()? It seems like half the tutorials in the  and around the blogosphere use  and half use . They all do similar things, so when should I use one over the others? I want to implement the EM algorithm manually and then compare it to the results of the normalmixEM of mixtools package. Of course, I would be happy if they both lead to the same results. The main reference is Geoffrey McLachlan (2000), .  I have a mixture density of two Gaussians, in general form, the log-likelihood is given by (McLachlan page 48):      $$ \log L_c(\Psi) = \sum_{i=1}^g \sum_{j=1}^n z_{ij}\{\log \pi_i + \log f_i(y_i;\theta_i)\}. $$ The $z_{ij}$ are $1$, if the observation was from the $i$th component density, otherwise $0$. The $f_i$ is the density of the normal distribution. The $\pi$ is the mixture proportion, so $\pi_1$ is the probability, that an observation is from the first Gaussian distribution and $\pi_2$ is the probability, that an observation is from the second Gaussian distribution.   The E step is now, calculation of the conditional expectation:      $$ Q(\Psi;\Psi^{(0)}) = E_{\Psi(0)}\{\log L_c(|\Psi)|y\}. $$ which leads, after a few derivations to the result (page 49):      \begin{align} \tau_i(y_j;\Psi^{(k)}) &amp;= \frac{\pi_i^{(k)}f_i(y_j;\theta_i^{(k)}}{f(y_j;\Psi^{(k)}}  \\[8pt]                        &amp;= \frac{\pi_i^{(k)}f_i(y_j;\theta_i^{(k)}}{\sum_{h=1}^g \pi_h^{(k)}f_h(y_j;\theta_h^{(k)})} \end{align} in the case of two Gaussians (page 82):      $$ \tau_i(y_j;\Psi) = \frac{\pi_i \phi(y_j;\mu_i,\Sigma_i)}{\sum_{h=1}^g \pi_h\phi(y_j; \mu_h,\Sigma_h)} $$ The M step is now the maximization of Q (page 49):      $$ Q(\Psi;\Psi^{(k)}) = \sum_{i=1}^g\sum_{j=1}^n\tau_i(y_j;\Psi^{(k)})\{\log \pi_i + \log f_i(y_j;\theta_i)\}. $$ This leads to (in the case of two Gaussians) (page 82):      \begin{align} \mu_i^{(k+1)} &amp;= \frac{\sum_{j=1}^n \tau_{ij}^{(k)}y_j}{\sum_{j=1}^n \tau_{ij}^{(k)}}  \\[8pt] \Sigma_i^{(k+1)} &amp;= \frac{\sum_{j=1}^n \tau_{ij}^{(k)}(y_j - \mu_i^{(k+1)})(y_j - \mu_i^{(k+1)})^T}{\sum_{j=1}^n \tau_{ij}^{(k)}} \end{align} and we know that (p. 50)      $$ \pi_i^{(k+1)} = \frac{\sum_{j=1}^n \tau_i(y_j;\Psi^{(k)})}{n}\qquad (i = 1, \ldots, g). $$ We repeat the E, M steps until $L(\Psi^{(k+1)})-L(\Psi^{(k)})$ is small.        I tried to write a R code (data can be found ).    # EM algorithm manually # dat is the data  # initial values pi1       &lt;-  0.5 pi2       &lt;-  0.5 mu1       &lt;- -0.01 mu2       &lt;-  0.01 sigma1    &lt;-  0.01 sigma2    &lt;-  0.02 loglik[1] &lt;-  0 loglik[2] &lt;- sum(pi1*(log(pi1) + log(dnorm(dat,mu1,sigma1)))) +               sum(pi2*(log(pi2) + log(dnorm(dat,mu2,sigma2))))  tau1 &lt;- 0 tau2 &lt;- 0 k    &lt;- 1  # loop while(abs(loglik[k+1]-loglik[k]) &gt;= 0.00001) {    # E step   tau1 &lt;- pi1*dnorm(dat,mean=mu1,sd=sigma1)/(pi1*dnorm(x,mean=mu1,sd=sigma1) +            pi2*dnorm(dat,mean=mu2,sd=sigma2))   tau2 &lt;- pi2*dnorm(dat,mean=mu2,sd=sigma2)/(pi1*dnorm(x,mean=mu1,sd=sigma1) +            pi2*dnorm(dat,mean=mu2,sd=sigma2))    # M step   pi1 &lt;- sum(tau1)/length(dat)   pi2 &lt;- sum(tau2)/length(dat)    mu1 &lt;- sum(tau1*x)/sum(tau1)   mu2 &lt;- sum(tau2*x)/sum(tau2)    sigma1 &lt;- sum(tau1*(x-mu1)^2)/sum(tau1)   sigma2 &lt;- sum(tau2*(x-mu2)^2)/sum(tau2)    loglik[k] &lt;- sum(tau1*(log(pi1) + log(dnorm(x,mu1,sigma1)))) +                 sum(tau2*(log(pi2) + log(dnorm(x,mu2,sigma2))))   k         &lt;- k+1 }   # compare library(mixtools) gm &lt;- normalmixEM(x, k=2, lambda=c(0.5,0.5), mu=c(-0.01,0.01), sigma=c(0.01,0.02)) gm$lambda gm$mu gm$sigma  gm$loglik   The algorithm is not working, since some observations have the likelihood of zero and the log of this is -Inf. Where is my mistake? Where do I get the key for the first house? I've 'completed' the game, but didn't find the key for the first house. (I got the one for the arcade machine house). Where can I find it? The scenario:  In a bash script, I have to check if a password given by a user is a valid user password.   I.e suppose I have a user A with password PA.. In the script I asked user A to enter his password, So how to check if the string entered is really his password?... Leave only two decimal places after the dot As I understand, correct plural versions of passerby and attorney general become passersby and attorneys general.  But why?  With passerby, the the preposition "by" has been combined with the noun "passer" to become a one word noun "passerby".  So why shouldn't this be passerbys?  If I am an attorney general, and you are an attorney general, why are we not attorney generals?  As an American I have always heard it as attorneys general, however  suggests British English does use "attorney-generals" (as well as an interesting 2nd paragraph that further probes my question).  Are there hard rules to this topic?  Or merely generally accepted practices based on locale? I tried to open the door. I tried opening the door   We can use both infinitive and gerund with verb "try" as used in above sentences. Does it change the meaning of the  sentence if use gerund or infinitive?.(here i don't know if the meaning of sentences is changed.)     The same confusion arise in these two sentences.  1.I stopped seeing him. 2. I stopped to see him.(But in case of these two sentence i know the meaning is changed but don't know exactly what the change is). My fish's native habitat is rice fields. My fish's native habitat are rice fields.   Which one is correct? I'm pretty sure it's the first, since 'is' modifies 'habitat,' but it still sounds weird... A good approximation of $(1+x)^n$ is $1+xn$ when $|x|n &lt;&lt; 1$.  Does this approximation have a name?  Any leads on estimating the error of the approximation? I have long been confused about this notion. I know that for a statement within a single category, forming the dual statement is just reversing every arrows. But what about a statement concerning several categories and functors between them?   Mac Lane suggests reversing all arrows in all categories and leaving the functors invariant in his book "Categories for the working mathematician" (page 32), but it seems that Mac Lane himself doesn't always follow this discipline (when he states "the dual of Yoneda Theorem", he doesn't reverse the arrows in $\mathbf{Set}$ !) Can anyone give me a formal definition of "dualize a statement in category theory"? How to set custom DNS server for Chrome browser? I have a local DNS server that resolves all URLs *.domain.tld to 127.0.0.1. Also, I have the production server with the same address *.domain.tld. They have the same names, because subdomains interact with each other, and I have hardcoded domain URLs. I can't change them in the production server.  The problem is to reach the production server from my developer computer without touching the DNS server and /etc/hosts.  I found some options for Chrome such as --dns-server, --host-rules, but none is working. I have Google Chrome 23.0.1271.64 and Chromium 22.0.1229.94 on Ubuntu 12.10 64-bit. Calculating RSA private exponent when given public exponent and the modulus factors using extended euclid Does the alarm work when my phone is turned off? Will the alarm still go off if I turn off the phone before?  Example: when I have low battery, I have to go to sleep and wake up at X o'clock, and there is no charger around. Should I turn off the phone?   Note: If it makes any difference my phone is Galaxy S running froyo In PHP, how do you change the key of an array element? I have an associative array in the form key =&gt; value where key is a numerical value, however it is not a sequential numerical value. The key is actually an ID number and the value is a count. This is fine for most instances, however I want a function that gets the human-readable name of the array and uses that for the key, without changing the value.  I didn't see a function that does this, but I'm assuming I need to provide the old key and new key (both of which I have) and transform the array. Is there an efficient way of doing this? Is there a c# equivalent of Java ConcurrentHashMap How to find a whole word in a String in java Why is my Mac constantly trying to connect to another server? After logging on, I see this dialog box pop up. Whenever I dismiss it, it reappears 30 seconds later. (Stealing focus at the same time! Grrrr!)    "Slate" is my old iMac, which is sitting on the desk next to me, turned off. How can I stop my new Mac from constantly trying to connect to my old one? Both are running 10.7.1. Erf as term for plot of land in a town or city. Is this word only used in southern Africa? The Free Dictionary website states and so does Wikipedia:     erf [ɜːf]   n pl erven [ˈɜːvən]   (Engineering / Civil Engineering) South African a plot of land, usually urban, marked off for building purposes   [Afrikaans]   The term erf is used in legal documentation and technical English throughout South Africa and Namibia, maybe even further afield in the region.  Is it used anywhere else, except maybe the Dutch/Flemish regions in Europe, where I assume the term originated?  An example:      The client purchased Erf 132, Windhoek for a large sum of money. He intends to build a house on this erf.   The capitalisation of "Erf 132" is commonplace, since it is a definition of a location. This is similar to capitalisation of towns or cities. I find it slightly awkward, but that is how it is done. I use the Stack Exchange sites very often to find solutions to problems and help me with decision-making.  In some sites I have asked question and received answers, and I have more than 15 reputation. On Stack Overflow I have always found answers to my questions and never needed to post a question (avoiding duplicate questions). However, I would like to vote for the answers that helped me but I do not have the ability to do that, due to low reputation.  Posting a question or answering an answer on each site seems like the only way to get enough reputation.  Since I have no input to give in these areas unless they will be counted as duplications, many answers that I have already used are missing my vote.  I suggest to take into account all of the reputations from all Stack Exchange sites for voting, or thinking about a different way to allow votes.