Tikzpicture infinite curve drawing
Plot an elliptic curve in Latex
Should I always use a comma after "e.g." or "i.e."? It seems that "e.g." is always followed by a comma but "i.e." is not. Why is that? This is the profile of the object I'd like to wrap...    Here is the object's profile after being wrapped...    Is it possible to prevent the distortion? The following post here:  did not affect my object. It seemed very promising, maybe I'm missing something?  Note: I have applied the scale to both my object and curve. Irreducibility check for polynomials not satisfying Eisenstein Criterion. Get URL of ASP.Net Page in code-behind Let's say I have 1m of 2,5mm² copper wire, insulated with H07V-K. The wire carries 40A and environment temperature is 25°C. The wire is suspended in free air. How hot will the wire get? And how can I calculate it for other values?  The use case is a 12V-230V AC converter I want to hook up to my car and determine the minimum wire thickness required. Because it's only used from time to time and not buried in a wall I suspect I can use thinner wires. This is a temporary thing and doesn't need to be up to code. Science fiction short story: beam transporting people into the distant future When I studied Bayesian statistics, a question about the notation of Bayes' Theorem came to my mind. Below is the density function version of Bayes' Theorem, where $y$ is data vector and $\theta$ is the parameter vector:  $$ p(\theta|y)=\frac{p(y|\theta)p(\theta)}{p(y)} $$ The numerator on the right handside can be written as: $$ p(y,\theta) $$ which is the joint probability distribution of $y$ and $\theta$, then Bayes' theorem could be written as: $$ p(\theta|y)=\frac{p(y,\theta)}{p(y)} $$ Furthermore, $$  p(\theta|y)\propto p(y,\theta) $$ Am I right on this? I think it does not look right. Because the posterior is the proportional to the joint density function. But where is the mistake? Navigation bar overlapped by status bar We have a directory and want to protect that from remove and rename, but we need to be able to rename, remove and create contents. What we can do? I'm writing a php program that pulls from a database source. Some of the varchars have quotes that are displaying as black diamonds with a question mark in them (�, , I assume from Microsoft Word text).  How can I use php to strip these characters out? Have the Linux kernel bugs that caused data loss when using a Samsung 850 Pro SSD been resolved? I just got a brand new Samsung 850 Pro SSD, and I would like to install Ubuntu 14.04 onto it.  I have read some pretty ugly stories of data loss with the 850 series SSDs when using Linux due to bugs in the kernel, as well as bugs in the TRIM operation.  I have done my research, but most of what I'm finding is very outdated. For example, see , and , as well as .  My question is, what is the current status? Have all major the bugs been worked out yet? I was presented with the following problem:      Prove that there exist solutions to $x^2+y^2=z^n$ for all $n$, with $x,y,z, n \in \mathbb{N}$   I showed that by taking any Pythagorean triple $x^2+y^2=z^2$ and multiplying by $z^{2(n-1)}$ we get $(z^{n-1}x)^2+(z^{n-1}y)^2=(z^2)^n$, which allows me to generate solutions easily for any value of $n$. I managed to find several similar questions on this site, such as  concerning the specific case $n=3$. I notice that all of these questions take a similar approach and start with a Pythagorean triple and use it to generate general solutions.  Is there a way to prove the statement (or better yet provide solutions to the equation) without first relying on Pythagoras? Question involving the Cauchy-Goursat Theorem Show $\int_C \frac{dz}{(z-z_0)^n} = 2\pi i$ when $n = 1$ and 0 when $n \gt 1$   I'm not entirely sure how to approach this one.  Any help would be much appreciated. Are the complements of two homeomorphic compact, connected subsets of $\mathbb{R}^2$ homeomorphic? Where to download Chrome 32bit? Google has  so on a 32bit Debian machine it's not possible anymore to update the APT repository:  W: Failed to fetch http://dl.google.com/linux/chrome/deb/dists/stable/Release  Unable to find expected entry 'main/binary-i386/Packages' in Release file (Wrong sources.list entry or malformed file)   Also has the .deb file removed from Google servers as it seems.  Is there any alternative .deb download of the last release (46?) available somewhere?  Reason: For an automated Debian build system (debootstrap-based) I urgently need a way to install Google Chrome 32bit v46 (or similar). Switching to another browser (including Chromium) is not a quick enough option for me at the moment.. Time-Stream Crossing and Forgetfulness In The Day of the Doctor, it's explained that the Doctor doesn't remember having interacted with himself, and if he interacts with a future version of himself, the younger version forgets.  But in Time Crash, 10th solves the problem of the TARDISes occupying the same space because he remembers himself doing it from when he was 5th.  If this is true, 5th wouldn't have wondered whether or not he was going to regenerate when he did.  Does the TARDIS occupying the same space with itself re-instate those memories? Or is it just possible that I'm asking a ridiculous question that will never have an answer because Doctor Who.  :D How are Star Wars blasters properly reloaded/charged/etc.? I've been looking into the inner workings of blaster weapons primarily using Wookieepedia. While most of it I understand, I still can't figure out how many rounds a gun would fire before needing the ammunition component replaced/reloaded. Is there any solid answer?  I'm someone who likes to design and draw his own weapons and such, but likes to keep to how the technology of an era is in mind. While Star Wars weapons don't really have magazines (and you don't really see them reloading during battle), other people's work still has magazines and treat ammunition consumption as though it's pretty much the same as our modern era.  I guess that I just find it hard to believe, with the technology of the Star Wars Universe, that characters would need to carry lots of ammunition (hence why clones/storm troopers/battle droids don't visually seem to carry very much).  Example: DC-15A     "The weapon's tibanna gas cartridge carried enough gas for up to 500 shots, depending on the power settings of the weapon, while the charge pack lasted about 50 shots"   Source:   I've read in several places that this can be seen in two different ways.  1. Which ever ran out first, had to be replaced before the weapon could fire again. 2. The weapon contained two different sources of ammunition (so I guess you could switch between the two) SEO for importing the page header with JavaScript rather than PHP My website has the same header/sidebar/footer on every page, so I have been importing them using PHP. To do this I forced all html files to be processed through the apache servers PHP handler via htaccess. I have come to understand that is not necessarily the best thing to do and so found out how to do everything I need using simple JavaScript. I also store a variable in the initial page that then gets used in the imported html.  Questions: By switching from:  &lt;?php include "_header.html";?&gt;   to  &lt;script type="text/javascript" src="_header.js"&gt;&lt;/script&gt;   I am noticing that the "view source" shows the header.js link, whereas the PHP method will show the source as if the html had been there all along. Will search engines recognize the html in the JavaScript just as they would when loaded with PHP?  I understand it is bad practice to alter the page contents -after- it is downloaded, but this doesn't fall into that category does it? That would detail things like after a wait function, or after user interaction, correct?  Are there any other foreseeable downfalls to switching to JavaScript and turning off the forced PHP processing? On an Android phone the wallpaper spans across all of the home screens.  So what size should pictures be to fit properly as custom wallpapers? Moon photography Hi I am a photography hoobyist. At the moment I am using a Nikon D3100 with the standard kit lens (18-55mm). I am interested in taking photos of the moon. I am debating whether to buy a 55-200mm lens or a 55-300mm lens. Which one would be better?  P.S I am on a tight budget and I am looking for a lens for personal use, not commercial.  Would appreciate any answers!  Thank you!