What happened to bibtex?
Question mark or bold citation key instead of citation number
Associated Prime Ideals in a Noetherian Ring; Exercise 6.4 in Matsumura Let $I$ and $J$ be ideals of a Noetherian ring $A$. If $JA_P\subseteq IA_P$ for every $P\in \operatorname{Ass}_A(A/I)$, then $J\subseteq I$.   I'm reading Matsumura's Commutative Ring Theory book on my own. This is exercise $6.4$ in that book, and I fail to prove it. Could you help me with this? Thanks in advance. How can I get the output from Image Trace to be Strokes instead of a Fill? I need to trace picture below to vector.  After tracing it with black and white mode I got result below that I don't like. I would like to have all lines to be in the same constant width.  What tracing strategy I should use to get needed result? long long implementation in 32 bit machine As per c99 standard, size of long long should be minimum 64 bits. How is this implemented in a 32 bit machine (eg. addition or multiplication of 2 long longs). Also, What is the equivalent of long long in C++. Intersect (analysis) of polygons generating empty output "reflect" vs "reflection on" or "reflection of" The bride's elegant dress reflected her good taste. The bride's elegant dress is a reflection on her good taste. The bride's elegant dress is a reflection of her good taste.  Would you tell me if they mean the same thing? If they would mean the same thing, what about the following question--link--? or I mean how could we distinguish such a distinction between these functions? Similarly, what about these:  A student's grades reflected her teacher A student's grades are a reflection on her teacher A student's grade are a reflection of her teacher  When, where or in which situation don't they mean the same? How can we distinguish such a distinction? Java Hashmap: How to get key from value? A regular expression to exclude a word/string "Access is denied" JavaScript error when trying to access the document object of a programmatically-created  (IE-only) Suppose we have a natural number $n \ge 0$.  Given natural numbers $\alpha_1,\ldots,\alpha_k$ such that   $k\le n$ $\sum_i \alpha_i = n$   what is the maximum value that $\Pi_i \alpha_i$ can take?  I'm quite sure that there is a theorem telling me the result, but I cannot find it. For sure an upper bound is $n^k$ but I'm searching for a real upper bound. I'm pretty sure that upper the bound should be $n^2$, but I don't know I could prove it. 90s (or earlier) Japanese anime movie: two planets at war, young man is in love with princess from the other planet, and floods his own village I would like to find out the title of a Japanese anime feature film (not a series) that I saw on Romanian TV in the early 90s.   It was about a feud between the peoples of two planets (one very technologically advanced, the other not). The two planets go to war against each other, and a young man from one of the planets falls in love with a princess from the other planet.  I recall a scene where the army of the second planet take off in hot air balloons when they go to war.  The only other thing I recall is that there is a dam next to the village where the young man lives, and for some reason he opens the dam gates and floods his own village.   I do not recall there being robots in the movie, however I remember very vaguely that the technology level was probably at the level of late 19th century Europe on one planet and pre-industrial on the other one.  What it's not:   Nobunaga the Fool Aldnoah Zero Queen Millennia Uchuu Senkan Yamato (movie) Mouseover tooltip for delete count is wrong Positive correlation and negative regressor coefficient sign Is it possible to obtain a positive correlation between a regressor and a response (+0,43) and, after that, obtain a negative coefficient in the fitted regression model for this regressor?  I'm not talking about changes in the sign of the regressor among some models. The coefficient sign always remains.  Could  the remaining variables of the fitted model influence the changing of the sign? Looking to Identify Book that has a large Leviathan type ship on the front The cover has a large Leviathan type ship on the front.   It is set in deep space as the people on said ship have been living there for generations. They come across an abandoned ship and set out to check it out. There are several traps but it seems to be a human ship and they even find a lone woman. Unfortunately she turns out to be an alien and attacks. They end up on a planet where a factory/warehouse is found to contain bodies, they think were eaten/experimented on by the aliens. I thought the book was called Leviathan but can't seem to find it anywhere. I seemed to be an older book from the golden age maybe even up into the 70's but I haven't had any luck yet. Any help I could get finding this would be great,thanks. Plotting complex numbers Is it possible to skip releases during an upgrade? Mount cifs Network Drive: write permissions and chown I have access to a cifs network drive. When I mount it under my OSX machine, I can read and write from and to it.   When I mount the drive in ubuntu, using:  sudo mount -t cifs -o username=${USER},password=${PASSWORD} //server-address/folder /mount/path/on/ubuntu   I am not able to write to the network drive, but I can read from it. I have checked the permissions and owner of the mount folder, they look like:  4.0K drwxr-xr-x  4 root root    0 Nov 12  2010 Mounted_folder   I cannot change the owner, because I get the error:  chown: changing ownership of `/Volumes/Mounted_folder': Not a directory   When I descend deeper into the network drive, and change the ownership there, I get the error that I have no permission to change the folder´s owner.  What should I do to activate my write permission? Gauss law question with regard to this example I am really confused in Gauss law.  Why do E3 and E2 pointing up? and also E1 pointing down?  The lecture note said infer from symmetry and you will get the following but I dont really understand. Could anyone explain to me? I am new to gauss law. Define a linear operator $T:C[0,1] \to C[0,1]$ as follows: $$Tf(x) = f(x) + \int_0^x f(u)du$$ It is easy to show that $T$ is a bounded linear operator. The statement also (1) claims that $T$ is one-to-one and onto, and (2) asks to compute $T^{-1}$. (Hence $T$ is an isomorphism due to a corollary of Open Mapping Theorem)  I need help to prove $T$ is onto: given any $g \in C[0,1]$, how to decompose it into a sum between a continuous $f$ and its antiderivative. I have trouble decomposing $g(x)=|x|$, not to mention bizarre functions like Weierstrass function. It seems impossible.  Thanks in advance for help! Use Stack Exchange icon for Stack Exchange blog posts in the Community Bulletin is used to host global Stack Exchange blog posts and is using favicon of Stack Exchange itself. All good. However, when published in the bulletin, the Meta Stack Exchange icon is used for some reason:    Can it be changed please to using the &quot;full&quot; icon? The coupon collectors problem