I'm new to vim-latex and to tikz. I'm trying to create a FSM using tikz library as explained . I used the same lated code   \documentclass[a4paper]{article} \usepackage{tikz} \usetikzlibrary{calc,positioning,shapes,shadows,arrows,fit} \begin{document} %hello world! %in the document \begin{tikzpicture} \node(pseudo) at (-1,0){}; \node(0) at (0,0)[shape=circle,draw]        {$q_0$}; \node(1) at (2,0)[shape=circle,draw]        {$q_1$}; \node(2) at (4,0)[shape=circle,draw]        {$q_2$}; \node(3) at (6,0)[shape=circle,draw,double] {$q_f$}; \path [-&gt;]   (0)      edge                 node [above]  {b}     (1)   (1)      edge                 node [above]  {a}     (2)   (2)      edge                 node [above]  {b}     (3)   (2)      edge [bend left=30]  node [below]  {a}     (0)   (0)      edge [loop above]    node [above]  {a}     ()   (1)      edge [loop above]    node [above]  {b}     ()   (3)      edge [loop above]    node [above]  {a,b}   ()   (pseudo) edge                                       (0); \end{tikzpicture} \end{document}   When I paste this code in Texmaker, it generates the right FSM as described in the link above. But when I paste it in vim (vim-latex installed following ), it just generate a pdf file that has some letters over each other in the middle of the page.  Could someone please tell me what is the problem? Thanks
Using vim with latex suite on two different computers, on one it's fine, but on the other my tikz pictures ''colapses'' (all text is put to the center of the figure, nothing is drawn) The same pc can compile fine from texstudio, but not from vim- latex suite  Edit: Seems the problem was compiling to dvi instead of pdf
Prove: $\displaystyle\sum_{k=1}^n k k!=(n+1)!-1$ (preferably combinatorially)   It's pretty easy to think of a story for the RHS: arrange $n+1$ people in a row and remove the the option of everyone arranged to height from shortest to highest, but it doesn't hold up for the LHS.   Alternatively, trying to visualize the LHS, I noticed that it's like a right angle tetrahedra:  1  2!+2!  3!+3!+3!  ...  But it doesn't help to see a connection to the RHS.  Note: no integrals or gamma function nor use of other identities without proving them nor generating functions. Openlayers v4.0.1 support Google Maps Javascript API? I want to know if the latest version of Openlayers (v4.0.1) supports Google Maps as a Tile Layer. I can't find any document ion about this. If Openlayers doesn't support Google Maps, could someone  tell me if there is any way to do this? Question: For every polynomial $P(x)$ of degree at n we have $$\sum_{i=0}^{n+1}(-1)^i\binom{n+1}{i}P(i)=0$$  Well I was inducting on degree of the polynomial, for $n=0$ its true and I got a bit confused in the inductive step, actually I cant figure the inductive step.   Is this property (if true) a famous one?  Thank you for your help. Updating VS Code in ubuntu 18.04 Occasionally, when I'm installing stuff, I get an error like the following:  Some packages could not be installed. This may mean that you have requested an impossible situation or if you are using the unstable distribution that some required packages have not yet been created or been moved out of Incoming. The following information may help to resolve the situation:  The following packages have unmet dependencies:  package1 : Depends: package2 (&gt;= 1.8) but 1.7.5-1ubuntu1 is to be installed E: Unable to correct problems, you have held broken packages.   How can I resolve this? Hybrids are fairly common in Star Trek:  is half Vulcan,  is half Betazoid,  is half Klingon and, just for good measure,  is ¼ Romulan.  However, in all of these cases that I can think of, the other half is always human.  Are there any non-human hybrid characters? Especially ones that are recurring or at least the focus of an episode?  If not, is there an out-of-universe explanation for their absence/rarity/scarcity? From a fandom point of view, I can’t imagine a half-Klingon half-Vulcan might not make for an interesting story, for example. The Raspberry Pi B+ models have a protection circuit between the USB connector and the 5V net on the board.  They recommend putting a similar protection circuity on a Pi HAT before 'backpowering' the pi through its GPIO header along with a polyfuse.  I understand why this is the recommendation, but I'd like to understand more about how this circuit works.  I did some searching before posting this question and found information on using a MOSFET as a low voltage drop diode, but they all had the gate wired directly to ground without the pair of PNP's and the resistors.  What are they doing for this circuit?  Also, is this primarily using the body diode?  In which case, what's the relevant info on the datasheet that qualifies DMG2305UX for this application?  In the other circuits I found, it appeared low Rdson and Vgsth compatible with the circuit seemed like the relevant characteristics. Math Induction Proof: $(1+\frac1n)^n < n$ So I have to prove:      For each natural number greater than or equal to 3,   $$(1+\frac1n)^n&lt;n$$   My work: Basis step: $n=3$ $$\left(1+\frac13\right)^3&lt;3$$ $$\left(\frac43\right)^3&lt;3$$ $$\left(\frac{64}{27}\right)&lt;3$$ which is true.  Now the inductive step, assume $P(k)=\left(1+\frac1k\right)^k&lt;k$ to be true and prove $P(k+1)=\left(1+\frac1{k+1}\right)^{k+1}&lt;k+1$.   This is where I am stuck because usually you add or multiply by $k+1$ or some similar term. I noticed that the paper size invoked by a4paper is not working right in my examples:  \documentclass[a4paper,11pt,oneside]{article} \begin{document} Test \end{document}   I checked with Preview.app and it tells me the paper size is 21.59 cm × 27.94 cm. A4 should be 21.0 cm × 29.7 cm.  When I use \usepackage[a4paper]{geometry} I notice a different size of the paper (it gets narrower) and Preview.app says: 21.01 cm × 29.71 cm, which seems right. I can reproduce this exact behavior with every class: article, book etc., scrartcl, scrreprt, etc., g-brief2 except memoir which gives me 21.01 cm x 29.71 cm    Is there something wrong or am I missing something? How to get into Walker in the Wastes as a level 3 Wizard I am building a Wizard character that focuses on using Greater Drought from the Walker in the Wastes prestige class.  The campaign is starting at level 12, so I need to figure out a way to build a Wizard 3/Walker in the Wastes 9.  I am planning on using Southern Magician and Extra Spell to get around the spell requirement, but I'm having trouble qualifying for Heat Endurance by level 3.  We are using a variant rule where, at every level divisible by 3, we get 3 feats instead of 1. At level 3, I'll have 1 feat from level 1, and 3 feats from level 3.  How can I build a character with 11 total levels of Wizard spellcasting and the Greater Drought Walker in the Wastes ability by level 12?  My current character sheet can be found . I'm trying to hide the app icon from the title bar in GNOME in Ubuntu 18.04. I know there is  asking the same thing but it's from 2011 and I can't find what it requires to find in the shell css. I'm also using the Arc-Dark custom theme.   Here are two examples of what I want to remove:      To be clear, I don't want to resize it to fit, I want to straight away remove it completely. Sometimes I create Material Groups to be used as appendable reusable assets. Unfortunately sometimes parameters I want to control using a Group Node's slider are not available for routing to a Group Node's input socket. Some examples of these are the Color Ramp and the Mapping Node.  So here's what I want to do:    Can this be done? If so, how?  Thanks! Let $s_n$ be a sequence defined as given below for $n \geq 1$. Then find out $\lim\limits_{n \to \infty} s_n$.   \begin{align}   s_n = \int\limits_0^1 \frac{nx^{n-1}}{1+x} dx  \end{align}  I have written a solution of my own, but I would like to know it is completely correct, and also I would like if people post more alternative solutions. Installing Ubuntu on one of two hard drives Upgrade OpenSSH 7.4 to later on RHEL I have a Red Hat Enterprise Linux server (7.5 x86_64). I have OpenSSH version 7.4. I was asked to upgrade it to a later version for security reasons: Nessus states that . However the Red Hat software and downloads does not have the latest package RPM.  I found some clues on where to get the latest package for OpenSSH. I found , however, I do not know on how to upgrade it and trust this website. I do not want the SSH and other configuration to be modified by the ugrade.  I did find links but however they are not useful, for example .  I would like to know how to upgrade OpenSSH without using yum. We have set up GA on several websites to gather information about traffic to the site. We know about the organic keywords that are displayed under the Acquisition section of the traffic report. But we have been asked to find a way to display "not provided" keywords typed in by the end user in our Google Analytics report.  Is it possible to accomplish this? How can I get a complete list of fields for a standard object? I am new to Apex, but it is apparent to me that most (if not all) standard objects probably have an ID field. However, this field does not appear in the reference for the standard objects in the Soap API Developer's Guide. Instead, it reads:     To verify the complete list of fields for an object, you can use a   describe call from the API, or inspect with an appropriate tool, for   example, inspecting the WSDL or using a schema viewer.   If I want to find out for sure whether an object has an ID field, or what the field is named (is it ID, Identifier, id, etc), it sounds like I need to use a "describe call" or "an appropriate tool" or inspect the "WSDL" using a "schema viewer".  Now, I am an experienced software developer, but those solutions are so ambiguous I have no idea where to look next to figure out how to get an object's ID. Can anybody either refer me to more specific documentation, or explain how to find the complete field documentation via a "describe call", "appropriate tool", or "schema viewer"? Getting code onto a microcontroller I have broken open a few circuits of some electronics (DVD player, handheld game device) and I can see the microcontrollers in them. However, I have no idea how they get their programs onto them! There is no micro usb or usb plug anywhere on them! How would they have gotten their program onto there? Very good linear algebra book. I plan to self-study linear algebra this summer. I am sorta already familiar with vectors, vector spaces and subspaces and I am really interested in everything about matrices (diagonalization, ...), linear maps and their matrix representation and eigenvectors and eigenvalues. I am looking for a book that handles every of the aforementioned topics in details. I also want to build a solid basis of the mathematical way of thinking to get ready to an exciting abstract algebra next semester, so my main aim is to work on proofs for somehow hard problems. I got Lang's "Intro. to Linear Algebra" and it is too easy, superficial.  Can you advise me a good book for all of the above? Please take into consideration that it is for self-study, so that it' gotta work on its own. Thanks. My processor is 64-bit - does that mean I need the amd64 image?