Finding bases for subspaces of $F^5$
How to find bases for a subspace defined by an equation
Creating polygons from points in Mapinfo Explicitly finding the sum of $\arctan(1/(n^2+n+1))$ Is there a pattern to which Star Trek ships get the definite article? Some ships in Star Trek are referred to with definite articles. "The Enterprise", "The Defiant". Other ships are referred to without them. "Voyager", "Enterprise". Is there a pattern to or explanation for this behavior? Exporting feature class into multiple feature classes based on field values using ArcGIS Desktop? I have found that for only one page (so far) the spacing between the header and content is different from the spacing on all the other pages. You can see this behavior in the images below (from pages 2 and 3 of the document):     My .tex file contents are shown below.  \documentclass[a4paper]{report} \usepackage{fullpage} \usepackage{lipsum} \usepackage{fancyhdr} \pagestyle{fancy} \setlength{\headsep}{0.5cm}  \begin{document} \renewcommand{\headrulewidth}{0.4pt} \renewcommand{\chaptermark}[1]{\markboth{\thechapter. #1}{}} \fancyhead[L]{\bfseries \leftmark} \fancyhead[R]{\bfseries \rightmark}  \chapter{Version Control} \lipsum \lipsum \lipsum \lipsum  \end{document} divisor of a product of integers is a product of divisors I read this recently on the web and can't manage to understand it. Not homework -- I haven't done math homework for years.  If $d\mid ab$ then $d=d_1 d_2$, that $d_1|a$, that $d_2|b$ and, further, if $(a,b)=1$ then $(d_1,d_2)=1$.  I know it's the same question... if $a = a_1 a_2 ... a_n$, why can't $d$ divide some $a_i$ and only $a_i$? What is Ambient Occlusion? What is Ambient Occlusion and what are some of it's uses? I see it is used in creating what might be called "shadow catchers" in the following node tree setup: Is $A\triangle B := A\cup B-A\cap B $ a suitable definition for the symmetric difference of two sets $A$ and $B?$ Or is $A\triangle B := (A-B) \cup (B-A) $ only allowed? "exec: gnome-session: not found" when logging in using lightdm On login the password is accepted but I'm returned to the login screen. Tried multiple times even after reboot... same behavior.  I left my laptop (Lenovo Ideapad z510) in suspend mode (lid down) last night, but it did not resume this morning, as it usually does. It had shutdown or crashed, and on booting with Ubuntu the login failure mentioned above started.  cat ~/.xsession-errors /usr/sbin/lightdm-session: 1: /usr/sbin/lightdm-session: ls: not found /usr/sbin/lightdm-session: 104: exec: gnome-session: not found   Okay. I've tried a bunch of suggestions from    Changed id to /usr/sbin/id in /etc/profile removed .Xauthority removed /tmp removed,  purged and re-installed lightdm checked .profile for syntax errors (source .profile worked fine, so I guess no syntax errors)   Nothing worked. My guest login is working fine, so another user should also work. I'm now going to create another user and continue working, but a solution to this problem is still warranted... it's likely going to repeat in future.  Installing and reconfiguring gdm also did not work.  sudo apt-get install gdm Cat 5/6 in same conduit as power: is NM-B required, or is THHN acceptable? Jamaica Inn episode 5 from BBC learning English drama section:  The dialogue says:     Mary: My aunt is in bed.   She doesn't say -      My aunt is in the bed.   That section is for teaching English.  Are they using incorrect English? How can install Desktop Toggl on Ubuntu 13.04? I try type:  sudo add-apt-repository ppa:official-toggl/ppa sudo apt-get update sudo apt-get install desktop-Toggl    But getting information desktop-Toggl not found. A film or TV series about classic monsters getting together I would like my Dock to show only the windows of the current workspace. Especially in the little preview window. I find it very confusing to jump around workspaces when trying to find the right window. Restored iOS 10 with broken Home button I restarted my iPhone 6 running iOS 10 and the home button is broken, so I was using Assistive Touch. But at the first launch, Assistive Touch is disabled. On iOS 10, we have to "Press home button to unlock".  What can I do? I have my mobile phone (Samsung Galaxy S2) running on ICS. Recently I activated Microsoft Exchnage ActiveSync to connect to my corporate email. It disabled all the security options like 'Pattern Unlock'. I hated it, and removed my microsoft active exchange account from the phone, but these options are still disabled. How do I get it enabled? How can I get all three Kalos starters? Why have the subjunctive and indicative converged in Modern English? Making adult decisions "is" or "are" really not fun: Which is correct? Making adult decisions are/is really not fun.     What is the proper answer and why? My gut says "is" but I can't explain why. Navigation bar overlapped by status bar