'Error:BrokenCount>0'. This usually means that your installed packages have unmet dependencies
What does: Error Broken count >0 mean?
In my past experiences, I have almost never typeset my manuscripts according to the formats required by the journals to which I would like to submit. I leave my manuscripts as produced by the LaTeX article documentclass.  Recently I am wondering: Would such a behavior generally give handling editors a negative first impression? I noticed that the reputation from the main site carried over to meta on Gaming (at least the first upvote), I guess that doesn't work the other way around, right?  Is it then impossible to have a meta reputation higher than the site reputation? What is the reason that the value "47" is so popular in electrical engineering? We often see component values of 4.7K Ohm, 470uF, or 0.47uH.  For example, digikey has millions of 4.7uF ceramic capacitors, and not a single 4.8uF or 4.6uF and only 1 listed for 4.5uF (specialty product).  What's so special about the value 4.7 that sets so far apart from say 4.6 or 4.8 or even 4.4 since in the 3.. series we usually 3.3,33, etc.  How did these numbers come to be so entrenched?  Perhaps a historical reason? What does an icon on the tag mean, for example the "rg" before the sql-server tag as pictured below? "The thing is, is that..." We have been using this result without proof in my class, but I don't know how to prove it. Could someone point me in the right direction?  $$|1-e^{i\theta}|\le|\theta|$$  I believe this is true for all $\theta\in\mathbb{R}$. It is easy to show that the left side is bounded by 2 (triangle inequality), but I'm stuck otherwise. Change font size of labels in figures to any font size I want to change the font size of the label of a figure environment to any font size. It's possible to use the package caption with the argument font=Large for example. But I found no way to choose any font size, e.g. fontsize=28pt.  Here an example code:  \documentclass{standalone} \usepackage{anyfontsize}  \usepackage[font=Large]{caption} %\usepackage[fontsize=28pt]{caption} % not implemented   \begin{document} \parbox[t]{20cm}{  \fontsize{28}{30} \selectfont  \begin{figure}     %\includegraphics{figure.eps}     \caption{\label{fig_req_osnr} \fontsize{28}{30} \selectfont My caption.} \end{figure}  }  \end{document}     Do you have any ideas? how to represent geography or zip code in machine learning model or recommender system? I am building a model and I think that geographic location is likely to be very good at predicting my target variable.  I have the zip code of each of my users. I am not entirely sure about the best way to include zip code as a predictor feature in my model though.  Although zip code is a number, it doesn't mean anything if the number goes up or down.   I could binarize all 30,000 zip codes and then include them as features or new columns (e.g., {user_1: {61822: 1, 62118: 0, 62444: 0, etc.}}.  However, this seems like it would add a ton of features to my model.   Any thoughts on the best way to handle this situation? What "allocation unit size" should I use for a drive with a single NTFS partition? I'm formatting a 1TB external hard drive as a single NTFS partition.  This drive is mainly meant for storing media.  Should I choose something other than the default allocation unit size?  The options range from 512 bytes to 64K.  Are there any guidelines that I should use with partitions storing other data?  Should I stop poking around and just leave it at "default"? How to show distance between boundary of an open set and a compact subset is positive? Let $n \in \mathbb N$ and $U\subset \mathbb R^n$ be an open set.Let $K\subset U$ be a compact subset of $U$. Then How can we show that distance between $K$ and $\partial U$ is positive?   Please, someone, give some hints. to solve this.  Thank you. Does there exist a bijective $f:\mathbb{N} \to \mathbb{N}$ such that $\sum f(n)/n^2$ converges? We know that $\displaystyle\zeta(2)=\sum\limits_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6}$ and it converges.        Does there exists a bijective map $f:\mathbb{N} \to \mathbb{N}$ such that the sum $$\sum\limits_{n=1}^{\infty} \frac{f(n)}{n^2}$$ converges.      If our $s=2$ was not fixed, then can we have a function such that $\displaystyle \zeta(s)=\sum\limits_{n=1}^{\infty} \frac{f(n)}{n^s}$ converges Yesterday I had 3,606 reputation but today I have 3,592.  My profile shows that I lost 6 reputation when a user was removed, but that would put me on 3,600 - 8 reputation has magically disappeared.  Adding up all of my reputation does work out at 3,591 (I'm assuming by default new users have 1 rep, so that would make sense).  Somewhere a reputation change since yesterday isn't being displayed. I don't know what this would be for, but -8 would lead me to believe that someone removed their up-vote on an answer I'd posted which already had a down-vote (could it be from that deleted user?).  I don't know if this is a bug or if there is simply a delay between reputation updating, but I figured it was worth reporting.    Sadly I cannot prove that I had 3,606 reputation yesterday. Does "staff" take a plural verb? Which one of these two statements is correct?     Our staff do ...      Our staff does ...   And is staffs ever correct? I'm working on creating an illustration that I will need in many, different guises in differential geometry/manifold theory etc. Following on from a previous (answered) question of mine (, I want to show how two coordinate lines in the plane originate from two curves on a surface via the chosen map:  \begin{tikzpicture}     \begin{axis}[             name=mfd,             declare function={                     f(\x,\y)=10-(\x^2+\y^2);             },                   declare function={                     c_x(\t)=(cos(\t)+(sin(5*\t)/10))/3+1;             },                   declare function={                     c_y(\t)=(sin(\t))/2-1;             },                   declare function={                     c_z(\t)=f(c_x(\t),c_y(\t));             },           ]                    \addplot3[surf,domain=-2:2,domain y=-2:2,]{f(x,y)};             \addplot3[black,opacity=1.0,variable=t,domain=0:360,dashed,thin] ({c_x(t)},{c_y(t)},{c_z(t)});             \addplot3[black,opacity=1.0,variable=t,domain=-2:2,thin] (t,-1.2,{f(t,-1.2)});             \addplot3[black,opacity=1.0,variable=t,domain=-2:2,thin] (0.8,t,{f(t,-1.2)});             \addplot3[black,opacity=1.0,only marks,mark=text,text mark=$\cdot$] (1,-1,{f(1,-1)}) coordinate (a);     \end{axis}     \begin{axis}[             at={($(mfd.north east)+(1cm,-2cm)$)},             anchor=north west,             declare function={                     c_x(\t)=(cos(\t)+(sin(5*\t)/10))/3+1;             },                   declare function={                     c_y(\t)=(sin(\t))/2-1;             }            ]                    \addplot[variable=t,domain=0:360]({c_x(t)},{c_y(t)});             \addplot[black,opacity=1.0,only marks,mark=text,text mark=$\cdot$] (1,-1) coordinate (b);             \addplot[variable=t,domain=0.6:1.4](t,-1.2);             \addplot[variable=t,domain=-1.5:-0.5](0.8,t);     \end{axis}     \draw [-stealth, shorten &lt;= 3pt, shorten &gt;= 3pt] (a) to[bend left] (b); \end{tikzpicture}   However, I have a couple of problems:   The curves representing the coordinate axes pulled back from the plane via the coordinate map insist on being closed off with a straight line - is there a way to avoid that? I want to draw all the black curves with a thin, dashed line, but I probably don't understand how to set those options. What am I doing wrong?   I apologise if these questions are rather elementary, but I find the relevant manuals difficult to search through; they seem to be meant for reading cover to cover rather than reference. Best factor extraction methods in factor analysis SPSS offers several methods of factor extraction:   Principal components (which isn't factor analysis at all) Unweighted least squares Generalized least squares Maximum Likelihood Principal Axis Alpha factoring Image factoring   Ignoring the first method, which isn't factor analysis (but  principal component analysis, PCA), which of these methods is "the best"? What are the relative advantages of the different methods? And basically, how would I choose which one to use?  Additional question: should one obtain similar results from all 6 methods? What is the "rootless" feature in El Capitan, really? I have just learned about the "Rootless" feature in El Capitan, and I am hearing things like "There is no root user", "Nothing can modify /System" and "The world will end because we can't get root".  What is the "Rootless" feature of El Capitan at a technical level? What does it actually mean for the user experience and the developer experience? Will sudo -s still work, and, if so, how will the experience of using a shell as root change? Proving Binomial Identity without calculus How to establish the following identities without the help of calculus:  For positive integer $n, $ $$\sum_{1\le r\le n}\frac{(-1)^{r-1}\binom nr}r=\sum_{1\le r\le n}\frac1r $$  and  $$\sum_{0\le r\le n}\frac{(-1)^r\binom nr}{4r+1}=\frac{4^n\cdot  n!}{1\cdot5\cdot9\cdots(4n+1)}$$ Performance evaluation of auto.arima in R and UCM on one dataset I started evaluating and comparing some methods in forecasting. I used Price of dozen eggs in US, 1900–1993, in constant dollars in the R software FMA package. I held out the last 10 years for assessment of forecast. Below are the results:  I used auto arima method in the R software. Obviously the results are way off. Am I doing something incorrect ? Below is the forecast. It does not recognize the declining trend.     I also used an unobserved components model (UCM) and obtained a good forecast,  as below.   Without outliers/level shifts there are very large standard errors and therefore wide confidence bands.  After some iterative work, below is the output with outliers/level shifts (I know I'm overfitting here) but it did a pretty good job in forecasting; there are also narrow confidence bands.    In looking at just this example the UCM seems to predict the hold-out sample more accurately than auto.arima.  Why is auto.arima not providing a reasonable forecast?  Are state space models/UCMs better for forecasting long range?  Are there any benefits of using one method over other? If $AD$, $BE$, $CF$ are exterior bisectors then $D,E,F$ are collinear Let $ABC$ be a triangle and AD the exterior bisector of $\angle A$, $BE$ the exterior bisector of $\angle B$, $CF$ the exterior bisector of $\angle C$ where $D\in BC$, $E\in AC$, $F\in AB$.  Show that $D,E,F$ collinear. The reasoning my book uses is as follows:   Since $(3+i)(3-i) = 10$, $10 + \langle 3+i\rangle = 0 + \langle 3+i\rangle $. Also, $i + \langle 3+i\rangle = -3 + \langle 3+i\rangle = 7 + \langle 3+i\rangle$. So, $\mathbb{Z}[i]/\langle 3+i\rangle = \{k + \langle 3+i\rangle \mid k = 0,1,\ldots ,9\}$, since $1 + \langle3+i\rangle$ has additive order $10$.   I do not understand why the additive order of $1 + \langle 3+i\rangle$ is $10$, or why the fact that $(3+i)(3-i) = 10$, shows the additive order or $1 + \langle 3+i\rangle$  is $10$. If someone could please explain this I would greatly appreciate it.   Note: I apologize for not using MathJax to write this post. I intend to learn it over the coming weekend.