Number of paths in a complete graph
Total number paths between two nodes in a complete graph
Would it be considered cheating to ask for homework help on the internet, if I openly acknowledge the help received? I use LINQ to Objects instructions on an ordered array.  Which operations shouldn't I do to be sure the order of the array is not changed? lualatex MWE not working I have an internal microphone in my laptop. I think it uses Intel High Definition Audio. But I can't get it to work with Ubuntu. It doesn't work with either the Sound Recorder or Skype.  On the Input tab in 'Sound Preferences', I just see Internal Analog Input Device... Derivation of a generalization of Mertens' Third Theorem. One of Mertens' Theorems states $$\prod_{p\le x}(1-\frac{1}{p})\sim \frac{e^{-\gamma}}{\ln(x)}.$$ I have seen a generalized version that states  $$\prod_{m&lt;p\le x}(1-\frac{m}{p})\sim \frac{c(m)}{(\ln(x))^m},$$ where $m$ is a positive integer and $c(m)$ is a real number that depends on $m$. How can I derive this result? Is there a way to find what the values of $c(m)$ are? Thank you very much. What can interfere with glossaries to prevent printing? I have the strange experience that from the combination      \glossarystyle{altlisthypergroup}     \clearpage     Printing acronyms     \printglossary[type=acronym]   only the debug message is printed, the glossaries not.  Even, the \printglossary leads to hanging. At the same time, in the text commands like \gls{} work as expected.  Any advice, what other package can interfere with glossaries? (It is part of a bigger project, the MWE works as expected.)    I changed to command line version from TeXstudio. I receive the output  makeglossaries DSc2 makeglossaries version 2.12 (2014-01-20) added glossary type 'main' (glg,gls,glo) added glossary type 'acronym' (alg,acr,acn) makeindex  -s "DSc2.ist" -t "DSc2.alg" -o "DSc2.acr" "DSc2.acn" This is makeindex, version 2.15 [TeX Live 2013] (kpathsea + Thai support). Scanning style file ./DSc2.ist.............................done (29 attributes redefined, 0 ignored). Scanning input file DSc2.acn....done (9 entries accepted, 0 rejected). Sorting entries....done (36 comparisons). Generating output file DSc2.acr....done (15 lines written, 0 warnings). Output written in DSc2.acr. Transcript written in DSc2.alg. Warning: File 'DSc2.glo' is empty. Have you used any entries defined in glossary 'main'? Remember to use package option 'nomain' if you don't want to use the main glossary.   What I do not understand, that if there are entries accepted, and sorted, why do I receive the warning about empty .glo file? And also, why the pdflatex hangs if I try to continue with using pdflatex again? Undo apt-get remove open* ubuntu 12.04 How to change text format of summary/trimmed field? Is there a straightforward way to change the summary/trimmed text to "full html" in Drupal 8?  There are workarounds such as creating separate body fields and using them as the summary but I am specifically asking about changing the text format of default summary/trimmed field of "Text (formatted, long, with summary)".  To put it another way, how to I add the CKEditor bar to the summary/trimmed text. It is well known that quantum mechanics and (general) relativity do not fit well. I am wondering whether it is possible to make a list of contradictions or problems between them?  E.g. relativity theory uses a space-time continuum, while quantum theory uses discrete states.  I am not merely looking for a solution or rebuttal of such opposites, more for a survey of the field out of interest. Importing shapefile into AutoCAD Map 3D? I'm trying to import shapefiles into a DWG using diferent layers names and during my web search I found this post. I know you did this 2 years ago but my problem is very similar and I wonder if you could help me.  Basically I've got a shapefiles of pipelines and I want to use the attribute name to sort the features into different CAD levels in teh same layer. I tried the import and although soem people say that "you can set the import to use data field" I can't see any option to do it and I'm really struggling. Any help appreciated.  I'm running on AutoCAD Map 3D 2010. Why is my Mac constantly trying to connect to another server? After logging on, I see this dialog box pop up. Whenever I dismiss it, it reappears 30 seconds later. (Stealing focus at the same time! Grrrr!)    "Slate" is my old iMac, which is sitting on the desk next to me, turned off. How can I stop my new Mac from constantly trying to connect to my old one? Both are running 10.7.1. How to test if a player is near coordinates in 1.13? Grammatical number agreement in a complex phrase using singular "they" Having changed the scene units and unit scale, how can I change the default size of new objects? I am using blender most of the time to model things for my 3d printer. So a default unit in "meters" is not really helpful!  Within the scene settings it is simply possible to set the units to millimeter and the unit scael to 0.001 so everything seems to work as I want it to work...   But if I add a new primitive it uses its old default sizes in meters... so a new cube get's 2000 x 2000 millimeters instead of 2x2 or whatever will be useful..  Same for all other new objects...  How can I change the default sizes of new objects permanently?   And how can I change the settings in the application templates? Right now using ctrl+u changes the "general" template - perhaps because I loaded it before...   Thanks a lot and best regards Stefan Initializing Manipulator value within DialogInput (version 10.1 only) Using WCS layer in QGIS for processing gives FAILURE: Missing destination I have a GeoServer serving raster dem data out via WCS and can add the layer easily to QGIS (3.2) but when I try to use it as the input for an operation (e.g. HillShade) I get an error.  Processing algorithm… Algorithm 'Hillshade' starting… Input parameters: { 'ALTITUDE' : 45, 'AZIMUTH' : 315, 'BAND' : 1, 'COMBINED' : False, 'COMPUTE_EDGES' : False, 'INPUT' : 'dpiMode=7&amp;identifier=training:panorama&amp;url=http://localhost:8080/geoserver/ows?version%3D1.1.1', 'MULTIDIRECTIONAL' : False, 'OPTIONS' : '', 'OUTPUT' : 'C:/Users/ishare/AppData/Local/Temp/2/processing_868cc25180f24d9f8e193bc0cfedb6d3/7cf48f64d8b54ee694c3ee93ed17e903/OUTPUT.tif', 'SCALE' : 1, 'ZEVENBERGEN' : False, 'Z_FACTOR' : 5 }  GDAL command: gdaldem hillshade dpiMode=7&amp;identifier=training:panorama&amp;url=http://localhost:8080/geoserver/ows?version%3D1.1.1 C:/Users/ishare/AppData/Local/Temp/2/processing_868cc25180f24d9f8e193bc0cfedb6d3/7cf48f64d8b54ee694c3ee93ed17e903/OUTPUT.tif -of GTiff -b 1 -z 5.0 -s 1.0 -az 315.0 -alt 45.0 GDAL command output:   FAILURE: Missing destination.   Clearly the missing destination is a red herring, and it is failing to understand the WCS layer as an input. But GDAL is built with WCS support included so shouldn't this work?  Do I need to do something else or start working out where to hack the QGIS code? Prove that $T$ has a cyclic vector iff its minimal and characteristic polynomials are the same How is voltage always able to increase, if electrons move at the speed of light? List of freely available physics books I'm trying to amass a list of physics books with open-source licenses, like Creative Commons, GPL, etc. The books can be about a particular field in physics or about physics  in general.  What are some freely available great physics books on the Internet? edit: I'm aware that there are tons of freely available lecture notes online. Still, it'd be nice to be able to know the best available free resources around.  As a starter:         Table of contents sorted by field (in alphabetical order): Opening PDF in Illustrator breaks up text objects I recently had to convert some PDF files to SVG, and did this by opening the PDF in Illustrator, and saving out to SVG.    The issue was that when Illustrator opened the pdf, many (but not all) text objects would be broken up into different text objects.  For instance, the word "policy" wouldn't be one text object, but rather several text objects, "po", "l", "icy".  There didn't seem to be any rhyme or reason to it.    How can I prevent this from happening?