Stuck in tty1, unable to log in (18.04 MATE)
TTY doesn't wait for password
Proving that a Binary Tree of $n$ nodes has a height of at least $\log(n)$. Preview of CAD files in format .dwg I'm looking for a utility or a program for Ubuntu, and possibly even for Windows that is able to convert a CAD file format .DWG to PDF.   My need is to provide a preview of CAD files, and I thought that the easiest way is to convert them into PDF format, but I'm open to suggestions, even if there is only the possibility to convert them to JPG image file type or PNG would be fine.  What interests me is only to find some solution, no matter if it is commercial or free How do I complete the square from the point I have left off at, and is this correct so far?   I have a normal prior for $\beta$ of the form $p(\beta|\sigma^2)\sim \mathcal{N}(0,\sigma^2V)$, to get:  $p(\beta|\sigma^2)=(2\pi\sigma^2V)^\frac{p}{2}\exp[-\frac{1}{2\sigma^2}\beta^T\beta]$  where $\beta^T\beta$ is   $\sum\limits_{i=1}^p \beta_i^2$.  My likelihood has a normal distribtuion for the data points y of the form $p(y|\beta,\sigma^2)\sim\mathcal{N}(B\beta,\sigma^2I)  $  $p(y|\beta,\sigma^2)=(2\pi \sigma^2V)^\frac{n}{2}\exp[-\frac{1}{2\sigma^2}({\bf y}-{\bf B}{\bf \beta})^T({\bf y}-{\bf B}{\bf \beta})]$  (Note that $\beta$ is a matrix/vector too, \bf does not work.)  To get my posterior for $\beta$ I combined the above, took the exponential parts only, and then expanded to get:  $\exp[-\frac{1}{2\sigma^2}({\bf y}^T{\bf y}-{\bf y}^T{\bf B}\beta-\beta{\bf B}^T{\bf y}-\beta^T{\bf B}^T{\bf B}\beta)]\exp[-\frac{1}{2\sigma^2}({\bf \beta}^T{\bf B})]$.  I dropped the $({\bf y}^T{\bf y})$ term, as is not a function of $\beta$.  Putting into one expression without the exponential:  $-\frac{1}{2\sigma^2}(-{\bf y}^T{\bf B}\beta-\beta{\bf B}^T{\bf y}-\beta^T{\bf B}^T{\bf B}\beta+{\bf \beta}^T{\bf B})$.  I know I need to combine the similar terms and get into the form of the multivariate normal distribution, which is what I am aiming for, but I am unsure how to do this? I probably have to add an extra term to the expression to get it into the correct form?  Note: This is not homework, it's a project, but my Bayesian working knowledge is not good at all and so I need to understand the working out. I intend to integrate out the $\beta$ and then the $\sigma^2$ after getting into the multivariate form. Similar to this question posted in August 2014:       Has the fact that  (as  in The Fires of Pompeii, and  in Torchwood’s Children of Earth season) yet been addressed/explained either in, or out of universe? What if table columns cannot fit on webpage? If I've 12 - 14 columns in a table to show on a page but there's not enough space to show all columns (let's say, there's only enough space to show 7 columns of the table), what is the solution for this?  I can make the page scroll horizontally but it's ugly and the last resort. Shrinking the font size of the table data only has rooms for 1  - 2 more columns at best. Find $\int \frac{x^3}{x^2-1} \:\mathrm{d}x$ Find $\displaystyle \int \dfrac{x^3}{x^2-1} \:\mathrm{d}x$.   I think there are a few ways to do this. We could just break this up using long division or break it up into partial fractions then use long division. My homework says to break this up into its roots so that's why I brought up partial fractions. Is that the best way to do it here? Integral of $\frac{1}{(1+x^2)^2}$ I am in the middle of a problem and having trouble integrating the following integral:  $$\int_{-1}^1\frac1{(1+x^2)^2}\mathrm dx$$  I tried doing partial fractions and got:  $$1=A(1+x^2)+B(1+x^2)$$  I have no clue how to solve this since it is obvious there is no way to cancel out either $A$ or $B$ to get the other variable. Please guide me.  Thank you. How to combine two strings together in PHP? In particular, when $x=y=z$ isn't the above expression equal to 1 and not -1? says the following:     Saving an OS can be achieved by running sudo grub-set-default if   DEFAULT=saved is set in /etc/default/grub. It may also be saved if   GRUB_SAVEDEFAULT=true is also set in /etc/default/grub. In this case,   the default OS remains until a new OS is manually selected    from the   GRUB 2 menu or the grub-set-default command is executed.   I put the lines DEFAULT=saved AND GRUB_SAVEDEFAULT=true in /etc/default/grub, and ran sudo grub-set-default.  Here is the output:  $ sudo grub-set-default entry not specified. Usage: grub-set-default [OPTION] entry Set the default boot entry for GRUB.    -h, --help              print this message and exit   -v, --version           print the version information and exit   --boot-directory=DIR    expect GRUB images under the directory DIR/grub                           instead of the /boot/grub directory  ENTRY is a number or a menu item title.  Report bugs to &lt;bug-grub@gnu.org&gt;.   Am I not following the documentation correctly?  What's the correct way to do this? Prove $ \sum \frac{\cos n} { \sqrt n}$ converges I see a lot of interesting programs out there that can only be obtained by adding a "PPA" to the system but, if I'm understanding correctly, we should stay within the official "repositories" for adding software to our system.   Is there any way for a novice to know if a "PPA" is safe or if it should be avoided? What tips should the user know about when dealing with a PPA?. Is it possible to write a Ping class in C# that will run within Windows 8 Metro environment? I want to refresh the entire service console on clicking of the save button on the visual force page. The button is an inline visual force page. Any ideas?  &lt;apex:includeScript value="/soap/ajax/26.0/connection.js"/&gt; &lt;apex:includeScript value="/support/console/26.0/integration.js"/&gt; &lt;script type="text/javascript"&gt; function focusAndSave() {     document.getElementById('focusMe').click(); }     &lt;/script&gt;     &lt;apex:form &gt;     &lt;apex:pageBlock id="pb"&gt;         &lt;apex:pageMessages id="errMsgsId"&gt;&lt;/apex:pageMessages&gt;         &lt;input type="text" id="focusMe" style="display:none" /&gt;         &lt;apex:pageBlockTable id="table" value="{!candidateMap}" var="c"&gt;             &lt;apex:column value="{!candidateMap[c].Contact__r.Name}"/&gt;             &lt;apex:column value="{!candidateMap[c].Submitted_at__c}"/&gt;             &lt;apex:column value="{!candidateMap[c].Interview_Availability__c}"/&gt;             &lt;apex:column value="{!candidateMap[c].Notice_Available__c}"/&gt;             &lt;apex:column headervalue="Stage"&gt;                 &lt;apex:outputfield value="{!candidateMap[c].Stage__c}"&gt;                     &lt;apex:inlineEditSupport event="ondblclick"/&gt;                 &lt;/apex:outputfield&gt;             &lt;/apex:column&gt;             &lt;apex:column headervalue="Ideally looking for"&gt;                 &lt;apex:outputfield value="{!candidateMap[c].Ideally_looking_for__c}"&gt;                     &lt;apex:inlineEditSupport event="ondblclick"/&gt;                 &lt;/apex:outputfield&gt;             &lt;/apex:column&gt;             &lt;apex:column headervalue="Action"&gt;                 &lt;apex:commandLink value="Save" action="{!saveCandidate}" rerender="errMsgsId,table" onclick="focusAndSave()" oncomplete="testGetFocusedPrimaryTabId()"&gt;                     &lt;apex:param name="candidateId" value="{!candidateMap[c].Id}" assignTo="{!candidateId}"/&gt;                 &lt;/apex:commandLink&gt;             &lt;/apex:column&gt;         &lt;/apex:pageBlockTable&gt;         &lt;apex:panelGrid columns="7" style="margin: 0 auto;"&gt;             &lt;apex:outputLabel value="{!noOfRecords} records found"&gt;&lt;/apex:outputLabel&gt;             &lt;apex:commandButton status="fetchStatus" reRender="pb" value="|&lt;" action="{!first}" disabled="{!!hasPrevious}" title="First Page"/&gt;             &lt;apex:commandButton status="fetchStatus" reRender="pb" value="&lt;" action="{!previous}" disabled="{!!hasPrevious}" title="Previous Page"/&gt;             &lt;apex:commandButton status="fetchStatus" reRender="pb" value="&gt;" action="{!next}" disabled="{!!hasNext}" title="Next Page"/&gt;             &lt;apex:commandButton status="fetchStatus" reRender="pb" value="&gt;|" action="{!last}" disabled="{!!hasNext}" title="Last Page"/&gt;             &lt;apex:outputLabel value="Page {!pageNumber} of {!pagecount}"&gt;&lt;/apex:outputLabel&gt;         &lt;/apex:panelGrid&gt;     &lt;/apex:pageBlock&gt; &lt;/apex:form&gt; Is a join optimized to a where clause at runtime? Can I submit/ArXiv without my advisor? I am being blocked from publishing my work I joined a research group of a faculty member in 201x, and worked with her for three years. During that time, I collaborated with a large hospital to perform research in the domain of medical informatics. I spoke about my research at two conferences; one was a talk, and the other was a poster presentation. My advisor asked me to write up the research in a paper around the second year, which I did. Around the third year, I decided to switch research groups, because of the relationship between me and my advisor going sour, and not having funding from her (I used to work part-time to fund my PhD research).  Once this happened, she withdrew her support from me publishing my paper and ordered that I give up my work to a fellow grad student. I told her, that my manuscript is in its Nth revision, and that I would like to take it to completion as first author. She was dismissive and didn’t offer any comments on my work. I told her, that, should I pass on my work, I would like to discuss authorship issues in advance, which she wasn’t ready to discuss. She ganged up my new advisor against me, and together they forced me to give up my code, results, paper drafts. I had to then leave the university without a degree.  Fast forward couple of years, I receive an email from a student in her lab (the student whom I had to hand over my work to), saying that they are publishing a paper, and have decided I am the fourth author. I read the paper and found out that it uses my experimental setup and design, data collection, and one of the ideas I had presented (the idea wasn’t the main crux of my paper, but I believe it was novel).  I want to   Publish my original draft in ArXiv/BioArXiv, as first author. Request my advisor to cite my work in their publication.    Given how she behaved with me, I know that despite what I am asking for sounds fair, she is likely to object.  I am asking the community: Can I go ahead and ArXiv it without her permission? I could add her as an author, but not take her permission. Also, if you have any other ideas on how to deal with this situation please let me know.  (For the record, this was at a top-10 school in the US in an engineering department). Need to get logfile smaller What's the simplest SQL statement that will return the duplicate values for a given column and the count of their occurrences in an Oracle database table?  For example: I have a JOBS table with the column JOB_NUMBER.  How can I find out if I have any duplicate JOB_NUMBERs, and how many times they're duplicated? I have multiple Amazon EC2 accounts and want to quickly be able to switch variables, such as $EC2_HOME, using a script.  I have have a shell script set up like this:  #!/bin/sh export EC2_HOME=/home/me/.ec2 echo $EC2_HOME   When I run the script I know that EC2_HOME is set, but I thought that using export would make the variable stick around after the script completed. It does not, as running echo $EC_HOME does not show anything.  I know this must be very rudimentary Linux scripting knowledge, but I don't know it. I tried looking for related questions without luck - so my apologies if this is a duplicate. How to prove this binomial identity $\sum_{r=0}^n {r {n \choose r}} = n2^{n-1}$? I am trying to prove this binomial identity $\sum_{r=0}^n {r {n \choose r}} = n2^{n-1}$ but am not able to think something except induction,which is of-course not necessary (I think) here, so I am inquisitive to prove this in a more general way.  The left side of an identity occurs while solving another problem (concerning binomial theorem) so I am more interested in deriving the right side from the left side, else I have to remember it now onward.  EDIT: I am more interested in an algebraic proof rather than combinatorial argument or something involving calculus (however I liked  and  solution), hence I am removing the combinatorics tag.