I am having a problem getting a graph to come out correctly.       \documentclass[journal]{IEEEtran}  \usepackage{graphicx} \begin{axis}[ title={}, xlabel={$q$}, ylabel={Time /seconds}, xmin=6, xmax=13, ymin=30, ymax=70, xtick={6,7,8,9,10,11,12,13}, ytick={0,10,20,30,40,50,60,70,80}, legend pos=north east, ymajorgrids=true, grid style=dashed, height=8cm, ]  \addplot[color=blue] table [x=q6, y=ms6, col sep = comma] {6x6_2.csv}; \addplot[color=blue] table [x=q7, y=ms7, col sep = comma] {6x6_2.csv}; \addplot[color=blue] table [x=q8, y=ms8, col sep = comma] {6x6_2.csv}; \addplot[color=blue] table [x=q9, y=ms9, col sep = comma] {6x6_2.csv}; \addplot[color=blue] table [x=q10, y=ms10, col sep = comma] {6x6_2.csv}; \addplot[color=blue] table [x=q11, y=ms11, col sep = comma] {6x6_2.csv}; \addplot[color=blue] table [x=q12, y=ms12, col sep = comma] {6x6_2.csv}; \addplot[color=blue] table [x=q13, y=ms13, col sep = comma] {6x6_2.csv}; \legend{Makespan}  \addplot[color=red] table [x=q6, y=mft6, col sep = comma] {6x6_2.csv}; \addplot[color=red] table [x=q7, y=mft7, col sep = comma] {6x6_2.csv}; \addplot[color=red] table [x=q8, y=mft8, col sep = comma] {6x6_2.csv}; \addplot[color=red] table [x=q9, y=mft9, col sep = comma] {6x6_2.csv}; \addplot[color=red] table [x=q10, y=mft10, col sep = comma] {6x6_2.csv}; \addplot[color=red] table [x=q11, y=mft11, col sep = comma] {6x6_2.csv}; \addplot[color=red] table [x=q12, y=mft12, col sep = comma] {6x6_2.csv}; \addplot[color=red] table [x=q13, y=mft13, col sep = comma] {6x6_2.csv}; \addlegendentry{Mean Flow Time}  \end{axis} \end{tikzpicture   This gives me the nice graph above.  However, when the graph is made as a node, I get a messed-up graph. How do I get the graph to come out as in the first picture?  \begin{figure*} \begin{center} \begin{tikzpicture}[framed, rounded corners]  \node[](6x6_graph) { \begin{tikzpicture} \begin{axis}[     title={},     xlabel={$q$},     ylabel={Time /seconds},     xmin=6, xmax=13,     ymin=30, ymax=70,     xtick={6,7,8,9,10,11,12,13},     ytick={0,10,20,30,40,50,60,70,80},     legend pos=north east,     ymajorgrids=true,     grid style=dashed,     height=8cm, ]  \addplot[color=blue] table [x=q6, y=ms6, col sep = comma] {6x6_2.csv}; \addplot[color=blue] table [x=q7, y=ms7, col sep = comma] {6x6_2.csv}; \addplot[color=blue] table [x=q8, y=ms8, col sep = comma] {6x6_2.csv}; \addplot[color=blue] table [x=q9, y=ms9, col sep = comma] {6x6_2.csv}; \addplot[color=blue] table [x=q10, y=ms10, col sep = comma] {6x6_2.csv}; \addplot[color=blue] table [x=q11, y=ms11, col sep = comma] {6x6_2.csv}; \addplot[color=blue] table [x=q12, y=ms12, col sep = comma] {6x6_2.csv}; \addplot[color=blue] table [x=q13, y=ms13, col sep = comma] {6x6_2.csv}; \legend{Makespan}  \addplot[color=red] table [x=q6, y=mft6, col sep = comma] {6x6_2.csv}; \addplot[color=red] table [x=q7, y=mft7, col sep = comma] {6x6_2.csv}; \addplot[color=red] table [x=q8, y=mft8, col sep = comma] {6x6_2.csv}; \addplot[color=red] table [x=q9, y=mft9, col sep = comma] {6x6_2.csv}; \addplot[color=red] table [x=q10, y=mft10, col sep = comma] {6x6_2.csv}; \addplot[color=red] table [x=q11, y=mft11, col sep = comma] {6x6_2.csv}; \addplot[color=red] table [x=q12, y=mft12, col sep = comma] {6x6_2.csv}; \addplot[color=red] table [x=q13, y=mft13, col sep = comma] {6x6_2.csv}; \addlegendentry{Mean Flow Time}  \end{axis} \end{tikzpicture} };  \end{tikzpicture} \end{center} \end{figure*}
I noticed something strange recently when trying to use rounded corners in pgfplots: it totally ruins the plot. See below without rounded corners:    and then with rounded corners:    Here is a minimal example:  \documentclass{standalone} \usepackage{pgfplots} \pgfplotsset{compat=newest}  \begin{document}  \begin{tikzpicture}[scale=0.8,trim axis left, trim axis right] \tikzset{every mark/.append style={scale=0.6}} \pgfplotsset{legend style={font=\footnotesize}}  \begin{axis}[   grid=both,             rounded corners,             ]     \addplot[samples=100,color=blue,very thick,smooth,domain=-10:10] {cos(x^(3))}; \end{axis} \end{tikzpicture}  \end{document}   Thanks in advance for your ideas !
Exercise 3.5.12. Let $ f: \mathbb N \times \mathbb N \to \mathbb N$ be a function, and let c be a natural number. Show that there exists a function $a:\mathbb N\to \mathbb N$ such that $$a(0)=c$$ and $$a(n++)=f(n,a(n))\;for\;all\;n\in \mathbb N,$$ and furthermore that this function is unique. Tao gives the hint: first show inductively, by a modification of the proof of Lemma 3.5.12, that for every natural number $N\in \mathbb N$, there exists a unique function $a_N:\{ n\in \mathbb N:n\lt N\}\to \mathbb N $ such that $a_N(0)=c$ and $ a_N(n++)=f(n,a(n))$ for all $n\in \mathbb N$ such that $n\lt N$.  In my opinion, we could solve it by proving that $\forall n\in \mathbb N,a(n)\in \mathbb N$ according to mathematcial induction.  The property P(n) is:$$\forall n\in \mathbb N, a(n)\;is\;unique$$ P(0) is true. And if P(n) holds, P(n++) is true because different natural numbers must have different successors. $$a(n++)=f(n,a(n))$$ $$a(m++)=f(m,a(m))$$ $$n++=m++\Rightarrow n=m\Rightarrow a(n++)=a(m++)$$ It's similar to the proof of  Proposition 2.1.16 (Recursive definitions): Suppose for each natural number $n$, we have some function $f_{n} : \mathbb{N} \rightarrow \mathbb{N}$ from the natural numbers to the natural numbers. Let $c$ be a natural number. Then we can assign a unique natural number $a_{n}$ to each natural number $n$, such that $a_{0} = c$ and $a_{n{++}} = f_{n} (a_{n})$ for each natural number $n$.  This proof indicates both the existence and uniqueness of the function $a$. I don't know why Tao says it's informal.  But regarding the hint, how do we get the function f even if we've got the conclusion from the hint. Also it seems like the function a(n) can be diffentent considering different N. I don't know if the hint is correct. Extracting usernames from the /etc/passwd file I read a collection of Sci-Fi short stories back in the 1970's or early 80's that had one about a couple in love who kept losing each other. The book was my dad's so the story itself could be much older than that. I am very fuzzy on the details as I was young when I read it and it was so long ago. I believe the woman/girlfriend was "taken" (by some bad guy aliens??) while she was sleeping. I think it involved time travel and the man had to search through time to find her. After he found her, when he was asleep one time, he somehow was then "taken" and I think transported through time and had to fight his way back to her again. He may have been some sort of police officer. I just remember in the end, at night when they went to bed, the couple always wore handcuffs so they were never separated when they went to sleep ever again. Does this ring a bell with anyone?  (There is a possibility it is in a short story collection that also contained " The Twonky " by Lewis Padgett (1942), as I remember reading that story around the same time) Does white whole wheat flour need to be refrigerated? I know that regular whole wheat flour needs to be refrigerated, but does white whole wheat flour also need refrigeration? I hate to use up the space in the refrigerator if I don't have to.  I have 5 lb. (2.3 kg), and it would probably take me a month or so to use it all. Rules of thumb for divisibility Given a number presented in decimal form $n=\sum_{k=0} d_k10^k$ there are some nice thumb rules to decide whether it is divisible with a prime number  $p\in\{7,11,13,17,19,23,29\}$.   For each of this numbers there is a number  $a_p$ such that $p|n\iff p|(a_p\cdot d_0+\sum_{k=0} d_{k+1}10^k)$.  $a_7=-2,\;a_{11}=-1,\;a_{13}=4,\;a_{17}=-5,\;a_{19}=2,\;a_{23}=7,\;a_{29}=3$  E.g. $\;19\cdot 17=323$ and $32+2\cdot 3=38=2\cdot 19$ and $32-5\cdot 3=17$.  Is there a number $a_{31}$ that works the same way? Or $a_p,\;p\ge37$? I have a text file abc.txt and its contents are:     /lag/cnn/org/one.txt    /lag/cnn/org/two.txt    /lag/cnn/org/three.txt   If I use:  $ tar -cvf allfiles.tar -T abc.txt   I'm getting the tar of files in the list. Similarly is it possible to copy those files in abc.txt to a folder?  I tried this:              $ cp --files-from test1.txt ./Folder   But it is not working. I am young, just started my career, and looking to begin investing so I can make my money work for me. I'm still living like I did in college (occasional purchase on myself, but most of it goes into savings) and I would like to take the extra money and invest it.   What would you suggest are the best options for me to begin? I was considering getting a personal investor [a financial advisor] for perhaps a year or so, but I've heard that they really are not worth the money. I wanted to get the input of the great minds here. Are there any examples of subspaces  of $\ell^{2}$ and $\ell^{\infty}$ which are not closed? Wrong posts number on Review section Lately it's happening to me this:  After completing one or more "First Posts" reviews, I go back to the Review Section main page:   And the post counter shows that there are still posts to review. I click the link to review them, but there is nothing.  Refreshing the page doesn't solve the issue: it shows the wrong number again. Override parent theme translation on child theme I have a parent theme that uses correctly load_theme_textdomain() to load all the translated strings in many languages.  Then I created a child theme that uses load_child_theme_textdomain() to achieve the same thing for its strings.  There are certain translated strings for a particular language on the parent theme that I'd like to replace/override in the child theme.  I know if they were on a template file I could replace the file and simply change the textdomain for those strings, but unfortunately the ones I'm talking about are used in many places and also in the dashboard (so inside some filter/action functions).  So my question is: is there a way to replace those translated strings inside the child theme without having to replace parent template files or functions?  I don't know, maybe adding a parent-theme.mo file inside the languages folder of the child theme with only those strings translated, or something like that. How do I separate hydraulic disc brake pads after pulling the brake while the wheel is off? How much hard disk space should be needed for Xbox 360? I want to get a 360 and don't know wether to get the bigger (250GB), newer, more expensive Elite, or get one of the older, smaller (120GB), last gen ones. I know the arcade is going to be too small to save anything useful  How much hard disk space is recommend? What else is stored besides games? Custom kernel: fails to load firmware when module built-in I'd like to have all my modules built-in, but this fails with iwlagn:  iwlagn 0000:03:00.0: request for firmware file 'iwlwifi-6000-4.ucode' failed. iwlagn 0000:03:00.0: no suitable firmware found!   The microcode file exists in /lib/firmware and the whole thing works just fine if I compile iwlagn as module. I have no idea where it's looking for the file or what's wrong - any ideas? Every natural number can be written as the sum of distinct Fibonacci numbers? How do I transfer programs from my old computer to my new Windows 7 computer? I know about the Easy Transfer tool included in Windows 7 that will transfer all my files but I want to transfer my programs. Also, I don't want to buy any gimmicky program if I don't have to. I am using latest version of VirtualBox (VirtualBox 4.3.6 for Windows hosts) and after installing any OS and clicking inside of it mouse disappear. It is not visible until I press right CRTL. Anyone know what can cause this problem. I have also installed extension pack. I have a very simple question that can be stated without proof. Are all eigenvectors, of any matrix, always orthogonal? I am trying to understand Principal components and it is cruucial for me to see the basis of eigenvectors. I never had this problem until today. When I watch a youtube video everything is fine, until I make the video fullscreen. It actually continues to play perfectly when fullscreen, but when I then exit fullscreen my sidebar and topbar are gone, and the screen is just frozen. Also my cursor is gone. It does seem to respond to ALT-F4, but it takes about 15 seconds to even close the window, and after that everything is unusable (basically frozen). What's strange though, when I re-enter fullscreen after exiting (and unity being frozen) the video plays perfectly still.   For now my workaround is opening tty1 and executing pkill -u username which logs off the user. I have looked at /var/log/syslog but it seems to be empty.  Is this freezing a common problem, if not, how can I make steps to fix this?    EDIT with specs:  I'm on a simple Samsung laptop with:  Ubuntu 14.10 64-bit,  Intel® Core™ i5-3210M,  Intel® Ivybridge Mobile (So integrated intel hd graphics 4000),  8GB ram. I don't think i've ever changed my video drivers, but it's reported as i915.  Ubuntu is up to date, and my browser is Chrome 40.0.2214.91 (64-bit). (Will test out now with firefox, but already posting this because my pc might freeze again)     EDIT 2: It doesn't freeze on Firefox. Will try reinstalling chrome now... EDIT 3: Reinstalling chrome didn't help. Will try chrome 32-bit too now... I'm working under 12.04 and suppose I have a Firefox windows active (or in foreground) with English as input language and I need to type a document in other language using some text editor.   With the text editor in foreground (or active) and the input language set to a non-English one, when I bring Firefox in foreground (or making it active) the input language remains set to the non-English and the language flag does not switch to English (as it would be expected, since I do not alter the language during the whole Firefox session).  Because of this, I have to make extra moves and change the input language manually every time I switch from the text editor to Firefox and back to text editor. This was not happening with 10.04, and each application windows had the corresponding input language set to its default or previous session every time I was bringing it to the foreground!   How will I make 12.04 to behave the same way? Please help me to stop auto login in Skype. There is an account that is always login again and again, although I chose to logout and sign in with another Skype name. I tried on Settings/applications/Skype to kill the account and to quit synchronise, but still whenever I open Skype again, I'm logging in automatically.