Using tikz, How can I get the arrowhead in this example to be angled 'better'?   \draw [arrows=-{&gt;[scale=2, length=3, width=3.5]},line width=0.7mm] (0,0) arc (90:-20:0.4);
I'm trying to fix the following TikZ figure, where the circle device in the middle should be embraced by two bended arrows pointing counter-clockwise.    I have drawn these arrows with an arc path, but the tips of the arrows are unexpectedly both pointing upward.  Any idea how to get these arrow tips to follow the direction of the arc?  Here is my code for the above figure:  \documentclass[12pt]{article}  \usepackage{tikz} \usetikzlibrary{arrows} \usetikzlibrary{calc}  \begin{document} \begin{tikzpicture}   \draw (0,0) circle (1cm);   \draw[fill=gray!20]  (23:0.45cm)     -- (23:1cm) arc[radius=1, start angle=23, end angle=-203] (157:1cm)     -- (157:0.45cm) arc[radius=0.45, start angle=157, end angle=23] (23:0.45cm);   \draw[fill] (0,0) circle(2pt);   \draw[-&gt;,&gt;=stealth',semithick] (150:1.2cm) arc[radius=1.2, start angle=150, end angle=210] (210:1.2cm);  \draw[-&gt;,&gt;=stealth',semithick] (-30:1.2cm) arc[radius=1.2, start angle=-30, end angle=30] (30:1.2cm);   \foreach \x/\y in {1/0,2/0,3/0,4/1,5/1,6/1,7/0,0/1}     \node[rotate={\x*45-90}] at ($(0,0)!.75!\x*45:(1,0)$) {\y} ; \end{tikzpicture} \end{document}
On Cesàro convergence: If $ x_n \to x $ then $ z_n = \frac{x_1 + \dots +x_n}{n} \to x $ I have this problem I'm working on. Hints are much appreciated (I don't want complete proof):  In a normed vector space, if $ x_n \longrightarrow x $ then  $ z_n = \frac{x_1 + \dots +x_n}{n} \longrightarrow x $   I've been trying adding and subtracting inside the norm... but I don't seem to get anywhere.  Thanks! Forgive me for the unclear title. Some time ago, my HTC M8, which is rooted and runs on a  showed something weird. Firstly, in the Google Maps App a mysterious blue dot appeared, that captures the screen completely and makes it impossible to quit or use the application. It looks like this (I could make a screenshot)     When this happens in Maps, the only thing I can do is a hard restart with Power+Volume Up.  Since I have seen this occasionally in the camera app as well, I suspect it is not a bug of Maps itself. I know that the Venom ROM is not standard but maybe this is connected to some setting and anyone has seen this. Btw, the Venom ran smoothly for almost 3 years now.  Question: Has someone a clue what this could be and how I can get rid of it? I would like to sell my Macbook Pro, but I want to make sure that there is no way to retrieve the deleted data from my SSD. Is there a way to completely delete all files on a hard drive so that even a forensic expert cannot recover anything? How do we know the brain flips images projected on the retina back around? Why do we turn images upside down again rather than dealing with them directly, still vertically rotated after passing through our lens?   I don't see how that would cause any problems, and how we'd ever be able to figure out if we are presented with flipped images after getting used to interacting based on visual input, whether flipped or not.   What am I missing? How to revert to GNOME Classic Desktop? I'm used to GNOME Classic and personally don't want to change to anything else, but it seems there is no more GNOME Classic in the Oneiric release. After apt-get installed gnome-session and all, though there comes back the GNOME Classic option in the session listbox, however, after logged in, it seems not the expected one.  There is no System menu in the top bar, and I couldn't customize panels at all. I want to change the appearance(theme), but I can't find Appearance menu at all. And much more differences to my previous experience of GNOME classic shell.    There are multiple valid answers for this question spanning over several versions of Ubuntu. For your convenience an index of each below:    and up      &amp; Java is the key here. I need to be able to delete files but users expect to be able to "undelete" from the recycle bin.  As far as I can tell this isn't possible.  Anyone know otherwise? I've just made a minor alteration to a file from a TeX package.  I copied it into my local texmf tree and made the change there.  When I tried kpsewhich &lt;filename&gt; to test that it was finding my local version, it returned the original one and not the new one.  In actual fact, the original file was from my local texmf tree already so I renamed the old one something simple.  Now kpsewhich &lt;filename&gt; returned the system version of the file.  To check that the file was there, I tried kpsewhich -all &lt;filename&gt; and got the correct two versions of the file: my modified one and the system one (in that order).  If I try this with another file that I know exists in both places, then kpsewhich &lt;filename&gt; returns my local file.  Here's the various invocations and their results:  ~% kpsewhich pgfsys-pdftex.def /usr/local/texlive/2012/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def ~% kpsewhich -all pgfsys-pdftex.def  /Users/stacey/Library/texmf/tex/latex/bzr/pgfsys-pdftex.def /usr/local/texlive/2012/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def ~% kpsewhich tqft.sty               /Users/stacey/Library/texmf/tex/latex/bzr/tqft.sty ~% kpsewhich -all tqft.sty /Users/stacey/Library/texmf/tex/latex/bzr/tqft.sty /usr/local/texlive/2012/texmf-dist/tex/latex/tqft/tqft.sty   Is it something special about the .def extension?  Is there some command that I forgot to run?  Are there some other options to kpsewhich that will help me debug this? How do I check that multiple keys are in a dict in a single pass? English equivalent of the expression “a longer arm than résumé” Why doesn't Stack Apps have its own meta? What is the minimum value of $(1 + a_1)(1 + a_2). . .(1 + a_n)$? Suppose $a_1, a_2,\dots , a_n$ are $n$ positive real numbers with $a_1a_2 \dots a_n = 1$.   Then what is the minimum value of $(1 + a_1)(1 + a_2). . .(1 + a_n)$ ?    I think $(1 + a_1)(1 + a_2). . .(1 + a_n)$ takes its minimum value when $a_1=a_2=\dots=a_n=1$ and thus the minimum value is $2^n$.  I don't know how to prove it. Please help. In Age of Ultron, Thor seems to know something he possibly shouldn't? Why should the first person pronoun 'I' always be capitalized? Why should we capitalize the first person pronoun 'I' even when it does not appear at the beginning of a sentence? Why is it not the case for other pronouns? How can I read inputs as numbers? How to convert all shapefiles in folder into KML using ArcPy? I was trying to convert all the shp in a folder into kml.  featureclasses = arcpy.ListFeatureClasses() for fc in featureclasses:  # Set Local Variables   composite = 'COMPOSITE'   pixels = 1024   dpi = 96   clamped = 'CLAMPED_TO_GROUND'   scale = 1   outKML = fc[:-4] + &quot;.kmz&quot;   arcpy.LayerToKML_conversion(fc,outKML, scale, composite,'', pixels, dpi, clamped)   It always says Failed to execute. Parameters are not valid. ERROR 000732: Layer: Dataset ZZZ.shp does not exist or is not supported Failed to execute (LayerToKML). But I can manually do it within ArcMap 10.1 Desktop... How do defenders of libertarian freewill reconcile it with constraints imposed by the laws of physics? When should we use "can", "could", "will", "would"? Most people say I wish I could, I wish you would.    Can we use I wish I can, I wish you will?    I'd like to know what the main differences between the usage of can/will and could/would are when wishing.  Is it related to the subjunctive? Because one says “I wish I were”, not “I wish I am”, so are would and could the subjunctive forms of can and will?  Or is it something else entirely? I am having an error compiling the following code with xelatex and lualatex:  ** WARNING ** "seac" character deprecated in Type 2 charstring. ** ERROR ** Type2 Charstring Parser: Parsing charstring failed: (status=-1, stack=5)  Output file removed.  \documentclass{article}  \usepackage{xunicode} \usepackage{fontspec}  \setmainfont[Mapping=tex-text,Ligatures={Common}, Numbers={OldStyle}]{IM FELL English PRO} \begin{document}  Buongiorno a tutti. Trallallà.  \end{document}   The error disappears when I omit the accented à. It also doesn't happen when I use other fonts.  Could you suggest any workaround?  Thank you, A How to find users by name Finding the maximum likelihood estimator Find the MLE of the unknown parameter $\theta$ when $X_1,X_2,...,X_n$ is a sample from the distribution whose density function is: $$f_X(x) = \frac12e^{-|x-\theta|}, -\infty&lt;x&lt;\infty$$ What I did so far: $$\text{maximize }(\frac12)^ne^{-|x_1-\theta|-|x_2-\theta|-...-|x_n-\theta|} \\ \text{thus we want to minimize }|x_1-\theta|+|x_2-\theta|+...+|x_n-\theta|$$ Since $|x_i-\theta|$ is positive for all $i$, we want to solve for $\theta$ so: $$|x_1-\theta|+|x_2-\theta|+...+|x_n-\theta|=0$$ What do I do from here?