Can an electrolytic capacitor be charged reversed bias by a small voltage?
Does an electrolytic capacitor degrade each time it receives reverse voltage?
Is the set of partial order relations over $ \mathbb{N}$ countable? I think it's uncountable but don't know how to prove this. I would be very helpful if someone could also give some kind of a strategy for proving uncountability, in particular how to find injective or surjective functions that help proving this. Spoilers Alert!!!      Bran sees that Jon is the son of Lyanna at Tower of Joy.   However, People of the north won't just believe words.  Howland Reed was with Eddard at the tower, Eddard is dead, but Howland could be alive. Even if Howland Reed comes forth and tells Jon's true lineage. It will still be just words.   Why would the people believe the words of a child and an old man? How to simulate from a Gaussian copula? Suppose that I have two univariate marginal distributions, say $F$ and $G$, which I can simulate from. Now, construct their joint distribution using a , denoted $C(F,G;\Sigma)$. All the parameters are known.  Is there a non-MCMC method for simulating from this copula? Bound for the correlation of three random variables Why enums require an explicit cast to int type? "The only thing necessary for the triumph of evil is for good men to do nothing." -Edmund Burke  Is there an idiom, phrase or preferably a single word that we can call people that could have helped but didn't? Bystanders don't necessarily have help to give. Cowards aren't particularly helpful either.    Addendum:  For example, once EMS has arrived on scene, bystanders are encouraged not to try to help, unless they're a nurse and therefore have the necessary skills to, and sometimes even then so. If in The Service, I would not want a coward (a liability) next me holding the line. Not to take anything away from these great answers, or to insist on a non-militaristic point of view, I would like to veer into the commercial or civilian realm in which I find this quote most often alluded to, E.G., "If we all gave 5 cents we could cure cancer tomorrow." Pretend most of us did give 5 cents and we did cure cancer, but you didn't give. You are now a(n) ____?... yes, I know what we call them, but what is their proper designation? How can I get the source directory of a Bash script from within the script itself? Add field "tome" to biblatex entries I need to add a new field in the @book or @InProceedings entries: this field is "tome", for I have for instance the following title:  Francesco Bertolini, Società di trasmissione orale: mito e folclore, in Lo spazio letterario della Grecia antica, a cura di G. Cambiano, L. Canfora e D. Lanza, vol. I, tomo I, Salerno, Roma 1992, pp. 47--75.   So the following code is not enough:  @InProceedings{ bertolini:1992,   author                   = "Francesco Bertolini",   title                    = "Società di trasmissione orale: mito e folclore",   booktitle                = "Lo spazio letterario della Grecia antica",   editor                   = "G. Cambiano and L. Canfora and D. Lanza",   publisher                = "Salerno",   location                 = "Roma",   year                     = "1992",   volume                   = "1,   pages                    = "47--75", }   Using othes codes, I was able only to produce the "tome" field, but with a general trouble about the other fields:  \DeclareSourcemap{   \maps[datatype=bibtex]{     \map{       \step[fieldsource=tome,fieldtarget=usera]     }   } } \DeclareFieldFormat{usera}{tomo\space{#1}}   \DeclareBibliographyDriver{book}{%   \usebibmacro{author/editor}%   \setunit{\labelnamepunct}\newblock   \usebibmacro{title}%   \newunit\newblock   \usebibmacro{journal+issuetitle}%   \setunit{\bibpagespunct}%   \printfield{pages}%   \newunit\newblock   \printfield{usera}%   \usebibmacro{finentry}} \renewcommand*{\finentrypunct}{}   (useful for articles, but not for my case). By real, I'm not able to understand  which bibmascros I have to invocate...  I tried to write a biblatex-tome.dbx:  \ProvidesFile{biblatex-tome.dbx}   \DeclareDatamodelFields[type=field,datatype=literal,skipout=false]{tome}   \DeclareDatamodelEntryfields{tome}   Inside the main .tex file I put just this code:  \DeclareFieldFormat{tome}{\mkbibacro{tome}\addcolon\space #1} \newcommand*{\patchmoretome}[1]{   \xpatchbibdriver{#1}%     {\printfield{tome}}     {\printfield{tome}%           \newunit\newblock      \printfield{tome}}%     {\typeout{patching #1 to include more tome succeded}}%     {\typeout{patching #1 to include more tome failed}}% } % patch all drivers \patchmoretome{article} \patchmoretome{book} \patchmoretome{collection} \patchmoretome{inbook} \patchmoretome{incollection} \patchmoretome{inproceedings} \patchmoretome{manual} \patchmoretome{periodical} \patchmoretome{proceedings} \patchmoretome{report} \patchmoretome{thesis}   but it doesn't print the field in bibliographic entry. So I'm very confused about a (re)writing of driver Print composer custom grid label problem In answer to  Klas Karlsson puts forward a solution to the problem of formatting print composer grid labels for projected maps.  I'm very weak on scripting, but in QGIS 2.14 I've tried to enter the text as shown in Klas's illustration, which generates error messages. In my case I'm working with a coordinate system that has a six-digit Easting and a six-digit Northing and I'm trying to get a result similar to that shown in Klas's picture (but with a six-digit Northing). Can anyone help me with this? I have the following prompt in bash which shows the current git branch:  PS1+="$(git_prompt)" #git_prompt is a function in my .bashrc   which works when I source the .bashrc, but not when I change the branch, so the PS1 var gets only evaluated when I source the .bashrc, but it should be evaluated every time a new prompt is displayed. How can this be accomplished with bash 4.3 ? Why is it considered so dangerous to travel in South Africa? As, the above link shows, other countries have similar murder rates but they are not in the radar of international travelers.  For example, as seen in the list, Puerto Rico has similar statistics. But, personally, I never heard of Puerto Rico to be a dangerous place to travel.  Why is it considered so dangerous to travel in South Africa? Is that due to the incompetent law enforcement agencies? Are used Schengen/UK visas acceptable for Turkish e-visa How can I get my graphics card to be recognized in System Info? Analogous results to Euler's theorem Fermat's little theorem and its generalization, Euler's theorem holds for pair of relatively prime integers. Are there any analogous results for not relatively prime integers ? Thanks in advance. What's with the Japanese SO's stats? Is there a case where including the same header twice is actually helpful? The series had three books.  A universe of Greek gods/goddesses, set in modern time.    The gods steal Titans and force them to assume the form of infants/children, and raise them as mundanes in a boarding school type situation.  The protagonist is a young woman who discovers she can travel through the fourth and fifth dimensions as her power.  Her companions: a fey, can travel by unseen ways to various locations; a boy-shaman raised under the traditions of science, can cause anything he wants to happen simply by wishing it and tries to recreate the Michelson–Morley experiment. She ultimately discovers the true nature of the universe she is in and that the deities all follow some sort of rock-papers-scissors system where each deity has a corresponding type which he is weak to, and strong against.  What is the name of this series? Proving $A+A'B=A+B$ without truth tables How can I prove the Boolean algebraic rule $$A+A'B=A+B$$ without using a truth table?  With the truth table, it is easy to see that the two are equal, but how can I prove it using lesser Boolean identities? Finding $ \int^1_0 \frac{\ln(1+x)}{x}dx$ There is supposed to be a clean solution to the integral below, maybe involving some symmetry $$ \int^1_0 \frac{\ln(1+x)}{x}dx$$ I have tried integration by parts as followed: $\ln(x+1)=u$ ,$\frac{1}{x+1} dx = du$ and also $\frac{1}{x}dx=dv$, $\ln(x)=v$. Then, the integral becomes $$\int^1_0 \frac{\ln(1+x)}{x}dx=- \int^1_0 \frac{\ln x}{1+x}dx$$ which does not make this easier. I have also tried using the identity $\int_a^bf(x)~dx=\int_a^bf(a+b-x)~dx$. So let $I = \int^1_0 \frac{\ln(1+x)}{x}dx$ and also $I = \int^1_0 \frac{\ln(2-x)}{1-x}  $. Then $$2I= \int^1_0 \ln(1+x)+\ln(2-x)$$ which is not any easier, either. Any ideas? :) Find a formula for Taylor series of $\left(\frac{1}{1+z^2}\right)^n$ So the way I think I should approach this is by getting a result for $n=1,2,3...$  and then examine them. I could easily get the Taylor series expansion for $n=1$, but then I don't really know how to proceed, because I can't always break down a power of a polynomial. And a power of a summation doesn't seem as a legit answer either.   Can anyone help? Thanks