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I know that Windows XP 32-bit can be configured, through , to support more than 3.5&nbsp;GB of RAM.  Is there a good tutorial to do this with Windows 7 32-bit?  As to why I don't simply use 64-bit Windows 7: The software for my Internet connection (cell phone-as-modem) will only work in 32-bit environments. How to find solutions of linear Diophantine ax + by = c? I want to find a set of integer solutions of Diophantine equation: $ax + by = c$, and apparently $\gcd(a,b)|c$. Then by what formula can I use to find $x$ and $y$ ?   I tried to play around with it: $x = (c - by)/a$, hence $a|(c - by)$.     $a$, $c$ and $b$ are known. So to obtain integer solution for $a$, then $c - by = ak$, and I lost from here, because $y = (c - ak)/b$. I kept repeating this routine and could not find a way to get rid of it? Any hint?  Thanks, Chan Calculate integral $\int_{-1}^{1} (1-x^2)^n dx $ Why do you cast downvotes on answers? This is a question which started off with a , then turned into an , and now it's a question in its own right (as suggested by Jeff). I'm not sure where it could go from here :)  It's obvious that different people cast downvotes for different reasons. (Upvotes are less controversial, generally.) Here are some possible reasons:   Answer is wrong Answer is misleading (may be technically accurate, but will lead to readers making mistakes) Answer doesn't match the question (e.g. a C# answer to a question about Java) Answer doesn't really address the question, e.g. suggesting a completely different solution, even if the question specifies that there are good reasons why the current approach has to be followed Answer is okay, but not as good as another one which currently has fewer votes Answer appears to be plagiarised from existing answers. Answer is by someone I don't like. Answer is abusive (profanity, spam etc). No reason, I just felt like it. I'm a , and prefer down to up. Have you considered down? Ideological grounds: answer suggests a technology I don't like, or expresses a negative opinion of a technology I do like   Personally I go with 1, 2 and 8 - although I'll add comments suggesting changes in various other situations.  Have I missed anything? What do you do, and why? What are the net benefits (to you, the world in general, and the answerer) from your approach? Biblatex: Don't show n.d. when no year is given I am using biblatex/biber with several bibliographies for my book, and the misc-type, which is also a single bibliography (as a chapter), for legal documents. These documents often do not have a proper date or rather the date is part of the title. However, Latex gives me a "n.d." output, and I am wondering what I can do for it to not give a "n.d." when there is no year given?    To make clear, the reason for why I don't want to use the "year" field is that I deal with very different kinds of documents, which may either have no date or the date is in the title, because of which I prefer to simply "hard-copy" the whole thing in the "howpublished"-section and need to suppress the year, if none is provided.  MWE:  \usepackage[autocite=footnote, language=german, style=authoryear-ibid, sorting=nyt, backend=biber]{biblatex} \usepackage[bottom]{footmisc} \bibliography{lit.bib} \makeindex \begin{document}  Test\autocite[2]{draftnotice}.  \printbibliography[title={EU Legal Documents}, type=misc1]  \end{document}   My lit.bib is as follows:  @misc1{draftnotice,     Author = {{COMMUNICATION FROM THE COMMISSION}},     Howpublished = {Draft Commission Notice of 2014 on the notion of State aid pursuant to Article 107 (1) TFEU}}   Check out my MWE on overleaf How do I create a reflective white material? I'm pretty new to this and this is my first question here, any help would be greatly appreciated.  So basically what I want to achieve is a floor material as seen in this photo...    ...the reflections are very crisp but dim.  With a glossy shader I get the following results:    First picture: reflections are blurry  Second picture: roughness of the material looks right but reflection is bright red  Third picture: If tinted in any other color than white, it seems to produce the result I want. Reflection is sharp and gets tinted blue. What I need is the reflection to be tinted white.  Thanks for any help. Where can I find 32-bit version of Ubuntu? Are there any reputable studies on spanking? Is it possible to check for an injured player in Minecraft? I am creating a mini-game in Minecraft, where I must check to see if the player is injured. The injured player will then be given an item. My guess is that the command would look something like /testfor @p[injured=true], but this command doesn't work. Is there a command for this? Similar matrices and field extensions Given a field $F$ and a subfield $K$ of $F$. Let $A$, $B$ be $n\times n$ matrices such that all the entries of $A$ and $B$ are in $K$. Is it true that if $A$ is similar to $B$ in $F^{n\times n}$ then they are similar in $K^{n\times n}$?   Any help ... thanks! Integer squares of the form $x^4+x^3+x^2+x+1$ I want to solve ${y^2}=x^4+x^3+x^2+x+1$ in $\mathbb{Z}$.    I can find four solutions. Is there another solution? I know that there are six solutions. $$(-1, \pm 1)\;,\;(0, \pm 1).$$  My try: \begin{align}   &amp; x^4+x^3+x^2+x+1=0\quad \Rightarrow \underbrace{\left( x+\frac{1}{x} \right)^2}_{t^2}+\underbrace{\left( x+\frac{1}{x} \right)}_{t}-1=0\,\Rightarrow t\notin \mathbb{Z} \\   &amp; x^4+x^3+x^2+x+1={\pm 1}^2\quad\Rightarrow \,x=-1\,\,,\,x=0.\\  \end{align}   Thanks. Adding unknown (at design time) properties to an ExpandoObject Sufficient and necessary conditions to get an infinite fiber $g^{-1}(w)$ How does the tmp folder work? It stores lots of junk files and takes space My tmp folder is set to /sites/default/files/tmp/ and I checked what's inside and for example there is folder inside called /update-cache-b2903cc4/ it keeps all modules in .zip that I installed via 'Install from a URL'. So why are those modules .zip files are kept there in tmp folder, isn't it a waste of storage? I don't really like it when the site is full of unnecessary files.  Am I supposed to delete these by myself all the time? Should I always use a comma before a quote? What are character special and block special files in a unix system? Quantum entanglement for faster-than-light (FTL) network communication? Quantum entanglement is 2 atoms that are paired together and when you stop one from spinning the other also stops with the same spin. Can you use these pairs to have faster-than-light (FTL) communication between 2 computers? I'm looking for a movie I've seen as a kid, the details are foggy and sparse but I'll try my best following :  What is it?: An animated movie. Tell us what it isn't: It is not . Tell us what made it memorable: A planet where some brain-sucking insect-like aliens live, also an old bald man lives on the same planet. When did you see this film?: Late 80's, early 90's. How old was it?: If I've seen the movie on TV in Spain, is a pretty safe bet that it will be at least 5 years old. Was it part of a series?: I don't think so. Plot: No clue, sorry. What language was it in?: The movie was dubbed to Spanish (Spain).  No detail is too insignificant  What details can I recall?:  Sci-Fi story with one character being an old bald man living on a planet where some insect-ish aliens can open your skull and suck your brain. Habitat of those insect-ish foes was depicted in light blue colors, I kinda remember giant mushrooms as well. A young boy befriends the old baldie, the boy came to the planet with some adults.   Other details I'm not completely sure (maybe my mind is filling the gaps):  I think that the movie was drawn using , not 100% sure though. I cannot remember which year I've seen the movie, but it should be late 80's or early 90's. I'm pretty sure that I've seen the movie in Spanish TV (not rented videotape). Somehow the young boy was the young version of the old baldie (time travel?). The old man lives in a wood house near the brain-sucking insect habitat, as many old man does he spend his time on the porch.    Try to offer unique details As anyone would expect from this kind of movie, there's a scene where the alien insects attack a group of people trying to suck their brains. A young boy was with those adults and survived with injuries in his head. The old bald man have some surgery in his head due to an attack he suffered years before. How to prove $n^5 - n$ is divisible by $30$ without reduction How can I prove that prove $n^5 - n$ is divisible by $30$? I took $n^5 - n$ and got $n(n-1)(n+1)(n^2+1)$ Now, $n(n-1)(n+1)$ is divisible by $6$. Next I need to show that $n(n-1)(n+1)(n^2+1)$ is divisible by $5$. My guess is using Fermat's little theorem but I don't know how. A while back I read about the super Kamiokande detector detected a large neutrino flux and then several hours later a supernova was seen. Anyone know of this with sources? I don't recall the source at the moment.