How do I get this math to calculate correctly
Is floating point math broken?
I'm working on a mac, I use the package TikZ and it works. But I have problems when I want use ellipse or diamond ex :  \documentclass{article} \usepackage{graphicx} \usepackage{tikz} \begin{document} \begin{tikzpicture} \node[ellipse] {Ellipse}; \end{tikzpicture} \end{document}   If somebody could help me thank you ! Proof that $A_n$ the only subgroup of $ S_n$ index $2$. I have what seems to me a very simple proof that $A_{n}$ is the only subgroup of $S_{n}$ of index 2.  Since I've seen other people prove it with what feel like really complicated methods (), I'm wondering if I've overlooked something.  Proof: Let $H$ be any subgroup of index 2 in $S_{n}$.  Then $H\cap A_{n}$ is a normal subgroup of $A_{n}$ and since $A_{n}$ is simple, $H$ is either the trivial or the improper subgroup of $A_{n}$.  If it's the trivial subgroup it doesn't have index 2 in $S_{n}$, and otherwise the theorem is proved. Java date format conversion - getting wrong month Ubuntu to Kubuntu switch! I have been running Ubuntu for about a year, now I would like to switch to kubuntu. Is it possible that I can port all the configuration data from the home folder of Ubuntu to kubuntu? (Without causing some serious trouble) If I copy all them contents of the home folder (Including the hidden files and folders) will I be able to get the same application configurations ? I know that copying the Thunderbird folder copies the emails on the newer installation, will it work to other applications? I am writing a bash script to look for a file if it doesn't exist then create it and append this to it:  Host localhost     ForwardAgent yes   So "line then new line 'tab' then text" I think its a sensitive format.  I know you can do this:  cat temp.txt &gt;&gt; data.txt   But it seems weird since its two lines. Is there a way to append that in this format:  echo "hello" &gt;&gt; greetings.txt An electron has no known internal structure, does that imply it has an unknown one? I'm currently reading Alonso and Finn's Electromagnetism book.  It explains that the spin contributes to the magnetic moment and is somewhat comparable to a rotation of the particle around its own axis. It says that the spin of a particle is caused by a certain internal structure, which makes sense in the aforementioned analogy.  Right underneath the paragraph with the explanation of spin, it says "The electron has no known internal structure", but since it does have a spin, does that mean that we know the electron has an internal structure but we just don't know what it is? List has no row exception: Queryerror I have below line placed in controller that fires list has no row exception. I just need to show a custom message instead when the query returns no value.   Apex code:  Id CI=[select Compliance_Incident_abv__c from Compliance_Incident_Transaction_abv__c where Name=:selectedCIT].Compliance_Incident_abv__c ;  //**This line throws error**     system.debug('CI@@'+CI);         if(cond != '')             cond += ' and';           else             cond += ' where ';                                        if(CI!=null)          cond += ' Id = \'' + CI+ '\''; convexity proof of a function including ln and sums Bias of maximum likelihood estimators for logistic regression Showing that $\int\limits_{-a}^a \frac{f(x)}{1+e^{x}} \mathrm dx = \int\limits_0^a f(x) \mathrm dx$, when $f$ is even I have a question:     Suppose $f$ is continuous and even on $[-a,a]$, $a&gt;0$ then prove that   $$\int\limits_{-a}^a \frac{f(x)}{1+e^{x}} \mathrm dx = \int\limits_0^a f(x) \mathrm dx$$   How can I do this? Don't know how to start. The entire answer is moving when hovering the bounty button It's just a minor CSS issue. See the following gif: Charge controller for Li-ion or Li-Polymer battery I am trying to work out the good charger for Mobile phones, which can serve as good performer for various smart phones out there in market these days &amp; mostly using Li-ion battery. Charging has 4 stages -- "the initial trickle-charging, then constant current charging, then constant voltage charging &amp; finaly Top-up charge" -- all this is controlled &amp; monitored by a control circuit/IC of charger. So, my concern is if such circuit/module/IC is already there in Mobile phones &amp; taking care of all protections to battery/phone including overheating during charge OR The charger designer have to incorporate these circuits in Charger itself? If former case, that means we just need to make a charging source giving ample current &amp; 4.75V-5.25V voltage, like a high-powered USB output port would gives. My feeling is such stages-wise charging &amp; control/monitor circuitry is already within the phone set, i just want to reconfirm. XML serialization without null XMLArray Coming from a programming background, where should I start to learn web design? I'm a web developer mainly working in front end developing. My main fields are HTML5, CSS3 and Flash ActionScript 3.0.  Here in Iran, teamwork means nothing for most of the people, but I think it's the most important aspect of our work, especially in web design.   I have poor skills in graphic design and UI design. I always have to work with graphic designers for my websites. They are usually good and skilled designers. But they are all print designers and unfortunately they know nothing about the web and designing for it.  For example, one of the designers that I work with most of the time is a great designer and he won a couple awards for his logo and poster designs. However, he knows nothing about the web and most of my time is spent explaining to him how things work on the web, i.e. in what size he should work, using pixels instead of centimeters, and so on... After all he is a print designer, not a web designer. They often think everything is static and constant, not in motion.  So the best way to work around this is to improve my skills in graphical designing. I just want to be able to design good layouts, make good color selections, and etc for my websites. I do not want to design illustrations and do heavy graphical works. Just design websites with no Photoshop illustrations like posters and etc.  What do you do for your graphic works, and if you do them yourself, which books or references do you suggest I read? Where should I start? is there a way to add hyperlinks in a Illustrator document? I am creating a CV in Illustrator and exporting it to a PDF. I just read an article which stated that it is a good idea that we use hyperlinks in the CV so that the employer can just click and not have to copy the address. I like this idea, but I don't know how to add a hyperlink to text in Illustrator. Is it possible? is there an easy way or photoshop plugin to distribute words in evenly spaced formation Is the standard Canon 18-55 lens the same as 5 years ago? Where can I send feature requests? Both for Ubuntu as a whole and individual (supported) apps? A 256GB SSD has Windows-10 and 16.04 installed.  BIOS not UEFI.  A charity I work with requires me to use Quickbooks Desktop on Windows.  The plan is to ghost the existing system to a 512GB or larger SSD and create a third bootable Windows 7  partition for performing charity activities.   Is this possible to have a third partition? Is there a good example you have used as a guide? Is triple booting with two Windows partitions different from 2 Linux partitions?   If you have done this before ( with GRUB) please indicate this in your response: lessons-learned are appreciated.  Thank you Why my differential equations become True?