In a few of the kinematic equations there is a $2$ or a $0.5$ coefficient. Why is this?  For example the kinematic equation for distance is:  $$\text{previous velocity} * \text{time} + \frac{1}{2} * \text{acceleration} * \text{time}^2$$  But why the $\frac{1}{2}$?  If I use the equation for acceleration to get to that equation I don't have a $\frac{1}{2}$? Here:  $$\frac{\Delta v}{t} = a  | \cdot t$$  $$v_{new} - v_{old} = a \cdot t | + v_{old}$$  $$\frac{s}{t} = a \cdot t + v_{old} | \cdot t$$  $$s = a \cdot t^2 + v_{old} \cdot t$$  Are my calculations wrong? If so, could someone please show me where I went wrong or explain to me how the $\frac{1}{2}$ comes into play?
I'm preparing for my exam, but I have difficulties in perceiving why there is a $\frac{1}{2}$ in the distance formula $d=\frac{1}{2}at^2$?
How to clone a Windows 10 dell onto an SSD I've recently bought a Dell Inspiron 3650, and would like to clone the disk onto a samsung SSD I have bought for it, in order to speed up boot times etc.  Samsung provide a clone tool called "Samsung data migration", which I've had success with in the past for cloning a system from a HDD to SSD.  Having tried it on the dell, the disk is not bootable, Leaving me with an error that no bootable media can be found. I've tried using a recovery usb to fix any boot system errors, but this fails with an error.  Booting into windows on the old HDD, the system recognises the disks have the same ID and disables the SSD, so it looks like the clone was successful.  I've tried disabling secure boot in the bios and then doing the clone, but this doesn't make a difference.  What else should I try? The system has Windows 10 home installed and is brand new, straight out of the box. TSA lock reset button stuck and now lock button is also stuck I've made a drush install of drupal 7.28 on my AWS server. I can confirm that the memory is set to 128M, all green on the reports -> site status page. The website will function normally and sporadically return no data, looking at the logs a tremendous amount of memory is trying to be allocated (assuming an infinite loop somewhere). Given that this is a basic install, no modules have yet been added what might be causing this?  PHP Fatal error:  Allowed memory size of 134217728 bytes exhausted (tried to allocate 140008587493184 bytes) in Unknown on line 0 How to see the error messages when I get the white screen of death? Children’s books, one in space setting, the other in a jungle Upgrade to the latest PHP version in Ubuntu I am using  in my server and NextCloud informs me that:     You are currently running PHP 7.0.32-0ubuntu0.16.04.1. Upgrade your   PHP version to take advantage of performance and security updates   provided by the PHP Group as soon as your distribution supports it.   So, I tried to upgrade me OS (Ubuntu 16.04), by executing:  apt-get update  apt-get dist-update  Then I restarted the server and I re-executed the above commands. After all these, when I connect from terminal I am getting:  Welcome to Ubuntu 16.04.5 LTS (GNU/Linux 4.4.0-83-generic x86_64)   * Documentation:  https://help.ubuntu.com  * Management:     https://landscape.canonical.com  * Support:        https://ubuntu.com/advantage  0 packages can be updated. 0 updates are security updates.   and my PHP version is still PHP 7.0.32-0ubuntu0.16.04.1 (cli) ( NTS ).  This means that PHP 7.0.32 is the latest possible version that I can install in ubuntu 16.04; After deleting all nodes, how do I reset the node ID to start from 1 again? I generated tons of dummy content for testing, and then deleted them all.  As nid is auto-increment, newly created node will have a nid of last created nid +1.  How can I make nid start from 1 again? Exporting Data From Salesforce - REST or SOAP? We have a requirement where we need to export records from salesforce tables into our application programmatically. I am reading on the various API's for data integration from salesforce mainly SOAP vs REST API's.  From what I understand, REST should be used when the web service requests are from mobile devices or browser based clients (since they understand JSON). Is that true? If that's the case how do Bulk REST API's fit the bill (since they are meant for bulk data transfers)?  I would like to get your thoughts on what are pros and cons in using SOAP or REST API's to export data records. Note that the requests are being made a java ee server application programmatically. After retrieving the records (probably in batches) from salesforce records we process (validate, filter etc) them and load them in our internal tables.  Thanks. What would be the the mathematical equivalent of this excel formula? =PMT() I need to create a JavaScript form that does the same calculation as this =PMT() function.   mortgage = 220000 rate= 4.75% term = 30   The example formula I have is =PMT(4.75%/12,30*12,220000*-1)  What would be the equation for this function? I tried to look up this function but it doesn't explain it very well. I got the following problem: Right now I am checking my equations, which are usually written in align. This looks great in most of the cases, but sometimes the pagebreaks are weird, ie there is a lot of vertical whitespace left (like 2.5cm) at the end of a page. I made the following MWE to illustrate this.  \documentclass[a4paper, 12pt, headsepline]{scrreprt} \usepackage[onehalfspacing]{setspace} \usepackage{amsmath, amssymb, mathtools} \usepackage{mathptmx} \usepackage[a4paper]{geometry} \geometry{left=2cm,right=5cm,top=2cm,bottom=2cm} % \usepackage{lipsum} %\lipsum \usepackage[pangram]{blindtext}  \begin{document} \Blindtext[1][3]%1 paragraph, 3 pangrams \begin{align} X_{t+1} &amp;=  \frac{X_{t+1}+X_{t+1}}{Y_t}  \label{eq:1}  \intertext{Solving...:} \notag  X_{t}  &amp;=  \frac{X_{t+1}+X_{t+1}}{Y_{t+1}} \notag \\ \intertext{Solving further...:} \notag  % ===PAGEBREAK HERE: 2nd page begins=== &amp;= \frac{X_{t+1}+X_{t+1}}{Y_t} +  \frac{X_{t+1}+X_{t+1}}{Y_t}  \notag \\ &amp;= \frac{X_{t+1}+X_{t+1}}{Y_t}...  \notag \\ \intertext{Solving further...:} &amp; = \frac{X_{t+1}+X_{t+1}}{Y_t}  \notag \end{align}  \end{document}   In the MWE, the first 'Solving further' should be on the first page instead (to save space and it would also look better I guess?). The position where I would like the pagebreak to be is also marked as a comment in the MWE.  My question is first on a general basis: Which is the best environment to achieve multiple line equations, which can be aligned as in align, and to save space at the same time? Or to be more precise: If possible, I'd like to stick with align and adapt the pagebreaks only if necessary.  Thanks! I want to append some data to a layer in my PostGIS DB using a shapefile, but when I use the Import layer/file tool in QGIS, it doesn't allow me to choose the append option.  Why is this and how do I get it to allow me to append? What is the perception of students who take a gap year between their graduation and starting graduate school? I am an undergraduate mathematics major, entering my fourth year. I plan on applying to graduate school, but I have not yet taken the GRE exams, and there a few key courses (Topology and Algebra in particular) that I have not taken yet, so I am hesitant to take the Advanced Math GRE too soon. (If you're wondering why I haven't taken Topology and Algebra yet, it's because I was trying to secure a CS degree, which sidetracked my mathematical studies last year. It was a healthy branching out experience, and one that helped me realize my true academic passion.)  My main question: what is the perception of students who take a gap year between their graduation and starting graduate school?  I think I will take the GRE tests this fall, a) for practice and b) if I score high, then I might as well apply sooner rather than later. However, I ask this question to gauge how much energy I should put into preparing for the tests this fall. If I hear, "You should really do your best to avoid any gap in your education," then I will work my butt off in preparation for the tests. But if I hear, "It's totally okay take a gap year before going into graduate school," then I would give myself more freedom in terms of my non-standardized-exam studies, extracurriculars, and in general social activities. I figure the answer to this question won't be as cut-and-dry as I hope, but any advice would be appreciated!  Just to clarify, my gap year would not consist of me sitting at my desk taking practice GRE exams all day... That would be a pitiful use of my time. I definitely plan working either as an intern or a research assistant at a successful organization. It seems like the general consensus is that taking time off is okay, and potentially beneficial, assuming you actually do something in that gap. How to replace subscript symbols Uninstalling Homebrew messed up git I uninstalled Homebrew using .  After running the above commands, I can't find .bashrc and .bash_profle. All files are gone from Documents , Desktop and Downloads :'(  When I do git status on /Users/ava it shows:  # On branch master # Untracked files: #   (use "git add &lt;file&gt;..." to include in what will be committed)  ... all the files which are in /Users/ava   history   113  cd `brew --prefix`   114  rm -rf Cellar   115  brew prune   116  rm `git ls-files`   117  rm -r Library/Homebrew Library/Aliases Library/Formula Library/Contributions   118  rm -rf .git   119  rm -rf ~/Library/Caches/Homebrew   120  sudo chown -R $USER:admin /usr/local   121  ruby -e "$(curl -fsSL https://raw.github.com/mxcl/homebrew/go)"   122  brew doctor   What just happened? This one is killing me, any help is greatly appreciated! Is the consciousness currently in oneself the same the the consciousness that used to be or in the future will be in oneself? People seem to believe that one's consciousness is a "different" consciousness than that of others, but the "same" consciousness as the one that has been in one's body in the past and the one that will be in one's body in the future. How likely is this to be true and why?   Also, I have almost no knowledge about neuroscience, so please refrain from using neuroscience jargon if feasible. If you True Polymorph a zombie you create via Finger of Death, does it remain under your command? When you kill a humanoid with Finger of Death, it creates a zombie that is permanently under your command.  If you then True Polymorph that zombie, replacing its statistics with another creature's, does the creature remain under your control?  Related: Why use foreign keys if cascade action is not need? Given a file like this:  1,768,12,46576457,7898 1,123,435,134,146 2,345,6756856,12312,1311 5,234,567465,12341,1341 1,3245,4356345,2442,13 9,423,2342,121,463 9,989,342,121,1212   I would like to list all rows (in bash terminal) such that the value in column 1 appears at least twice (in column 1). The result should be  1,768,12,46576457,7898 1,123,435,134,146 1,3245,4356345,2442,13 9,423,2342,121,463 9,989,342,121,1212 Does the verb "unvelcro" exist or what can we use instead? I know that the following word pairs exist:  button – unbutton tie – untie  Can we use an analogous process with the verb &quot;velcro&quot;?