Problem writing aux file in relative referenced directory
Problem writing aux file
How do I find the index of an element in a list in Racket? Number of reflexive relations defined on a set A with n elements Is there an English word meaning "the use of uncommon words"? Is there an English word meaning "the use of uncommon words" or similar? Why doesn't a block rotate due to friction? Where and how does the Bleach anime diverge from the manga? I've seen almost all of the Bleach anime (at least what's been released dubbed), and I'm now interested in reading the manga. However, when the manga closely follows the anime I've already seen, I tend to get bored quickly. Thus, I'd want to pick up the manga at a point right before the anime began to diverge.  At what point in the manga is this? How to get the key for a given object from an NSMutableDictionary? Finding rank-nullity of a given matices Error validating geometry collection / multipolygon in PostGIS Simple one really.  In SQL, if I want to search a text field for a couple of characters, I can do:  SELECT blah FROM blah WHERE blah LIKE '%text%'   The documentation for App Engine makes no mention of how to achieve this, but surely it's a common enough problem? $\mathbb Q$ is not the direct product of two non-trivial groups. I know this has been asked before, in a bunch of places, so I expect it to be closed as a duplicate at some point, but I'd like to know if my own proof works. If the proof is incorrect, please limit answers to pointing out the errors. If the proof is correct, then thoughts on improving it would be appreciated.  Prove that $\Bbb Q$ is not the direct product of two non-trivial groups.  —Aluffi exercise II.3.5. My proof Suppose that $\Bbb Q = G \times H$, neither $G$ nor $H$ trivial. First note that $0_G$ is the only element of $G$ with finite order: If $m\ne 0$ and $m\cdot g=0_G$, then $m\cdot(g,0_H)=0_{G\times H}$, contradicting the fact that $\Bbb Q$ has no non-zero elements of finite order. Suppose that for some $m\ne 0$ and some $n\ne 0$, $\pi_G(m/n)=0_G$. Then $0_G=n\cdot\pi_G\left(\frac m n\right)=\pi_G\left(n\cdot\frac m n\right)=\pi_G(m)=m\cdot\pi_G(1)$. Since $\pi_G(1)$ has finite order, we conclude that $\pi_G(1)=0$. Since $\Bbb Z=\langle 1\rangle$, $\pi_G$ maps every integer to $0_G$. Now let $a$ and $b$ be non-zero integers. Then $b\cdot\pi_G\left(\frac a b\right)=\pi_G\left(b\cdot \frac a b\right)=\pi_G(a)=0_G$. As above, this shows that $\pi_G\left(\frac a b\right)=0_G$. Thus if $\pi_G$ is not an injective function, then it must map everything to $0_G$, so $G$ will be a trivial group. The same result holds for $\pi_H$. Since by assumption, $G$ and $H$ are non-trivial, $\pi_G$ and $\pi_H$ are both injective functions, which is of course impossible. Under the U.S.'s Copyright Law, is it an act of copyright infringement if we changed the color of another artist's image to black and white? Editing and manipulating tables with ArcPy? I’m new to ArcMap and was wondering if anybody could help me out. I have a shapefile with counties and wells in that county. In the table I’m trying edit it so that for each county calculate the total numbers of wells that fall into that county, and update the county table with the total count. I also want to calculate how many wells there are per area unit, and update the table with that value as well.  import arcpy featureClass = "C:/Lesson5_Data/Colorado_cities.shp" fieldList = "*"  with arcpy.da.SearchCursor(featureClass, fieldList) as cursor: for row in cursor: print row[4  population = 10000  whereClause = '"POP2007" &gt;= ' + str(population How do I reset GNOME to the defaults? I was playing around with some settings, and now I need to reset GNOME to it's defaults - how do I do that? How did Vader saving Luke turn him to the good side? Couldn't Vader save his son and continue being a Sith Lord? Couldn't he have let Luke go and basically become the Emperor and have the Galaxy to himself? I don't think killing the Emperor to save your son will automatically convert you to the light side. Enlighten me. The Stack Imgur service is no longer resizing images correctly Choosing GeoCoding service? I'm looking for a web service providing a full address based on coordinates (and reverse).  I'm ready to pay for that service.  I don't want to use Google's API. How to achieve echo cancellation with Pulse Audio? I want to use echo cancellation for my Skype calls and Empathy on Ubuntu 12.10 (pulseaudio 2.1).   Does anyone know how to do that? Where should I start learning? There are various topics to learn like Objects, Classes, Apex, Visualforce, SOSL, SOQL, Triggers, etc. There are so many options out there to start learning. I couldn't decide what topic to learn first, and then step by step get proficiency in all aspects of Saleforce. I am new to the glmnet package, and I am still unsure of how to interpret the results. Could anyone please help me read the following trace plot?  The graph was obtaining by running the following:  library(glmnet) return &lt;- matrix(ret.ff.zoo[which(index(ret.ff.zoo)==beta.df$date[2]), ]) data   &lt;- matrix(unlist(beta.df[which(beta.df$date==beta.df$date[2]), ][ ,-1]),                   ncol=num.factors) model  &lt;- cv.glmnet(data, return, standardize=TRUE)  op &lt;- par(mfrow=c(1, 2)) plot(model$glmnet.fit, "norm",   label=TRUE) plot(model$glmnet.fit, "lambda", label=TRUE) par(op) Differential equation $y''=\frac{y'}{2\sqrt y}$