UK Customs or TSA removed my TSA lock but didn't leave a note or return the lock, what can I do?
TSA broke a lock for which they have a master key. How can I claim compensation?
Can an integer of the form $4n+3$ written as a sum of two squares? Proving this relation is transitive Let $r$ be a relation on $A \times A$ such that $(a,b) r (c,d) \iff ad = bc.$ How can I show that this relation is transitive, ie. $(a, b)r(c,d)$ and $(c,d)r(e, f) \implies (a,b)r(e,f)$?  I tried to say that $(a,b) r (c,d)$ means that $c=ka$ and $d=kb,$ $k$ a coefficient, such that $ad = bc \iff akb = bka,$ and going on from there, but I'm not sure this is valid for all values of $a, b, c,$ and $d$. How can I show the transitivity of the relation? Fit mixture of distributions to your time-series data in R I have time-series data containing 1440 observations and the plot of the data is   I want to fit the Gaussian Mixture Models (GMM) to the above plot, and for the same I am using Mclust function of  package. Finally, I want a fit somewhat like this:   On using Mclust function, I do get following statistics     mclus_data &lt;- Mclust(givendataseries)    &gt; summary(mclus_data) ---------------------------------------------------- Gaussian finite mixture model fitted by EM algorithm  ----------------------------------------------------  Mclust E (univariate, equal variance) model with 8 components:   log.likelihood    n df      BIC      ICL        9525.438 1440 16 18934.52 18183.67  Clustering table:    1    2    3    4    5    6    7    8  1262    0    0    0    0   13  114   51    In the above statistic, I can not understand following:   Significance of log.likelihood, BIC and ICL. I can understand what each of them is, but what their magnitude/value refers to? It shows there are 8 clusters, but why cluster no. 2,3,4,5 has 0 values? What does this mean? From the plot it is clear that there must be two Guassians, but why Mclust function shows there are 8 Guassians?   Update: Actually, I want to do model based clustering of time series data. But currently  I want to fit the distribution to my raw data, as shown in Figure 1 on page no. 3 of  paper. For your quick reference, mentioned figure in said paper is Prove that a function is not injective CSS selector for first element with class In Java Edition, I can name a mob by using NBT tags like this: /summon zombie ~ ~ ~ {CustomName:'{&quot;text&quot;:&quot;TheUndead&quot;}'}  But in Bedrock Edition, I've heard NBT is not accessible from commands. What can I do to summon a mob with a custom name tag using the /summon command? Voldemort couldn't kill Harry as long as he called the Dursleys home. Why didn't he just murder the Dursleys? This would prevent Harry from being able to live there. Recursive time series forecasting model In a recursive forecasting model, let's say you are trying to predict sales of Target for the next month and you will append that prediction to your input and predict the month after. Basically, your target is Sales quantity, which you lagged. But let's say you have other continuous numerical features like Price which you will lag as well. As your model is making predictions on Sales_QTY, it will feed it back to sales_qty as input so you will never ran out of values for that one. So how do you deal with your other features (other than the target) in order to generate them as next months inputs in a recursive forecasting model (because eventually you will run out of them)? DO you create a sub-model and try to predict them as well? join comma delimited data column tags of mundanity that are gratuitously applied to posts It's an additional unnecessary burden to the honest stacker during suggested edit duty. A question presents some code then the minor editor adds a tag like 'for-loop' or 'forms'.  These tags are so general that they only have a handful of followers. They serve no useful purpose and are the cause of many too minor edits. Why not permit culling of generic tags? Integration of exponential and square root function Suspended user cannot award bounty Show that $\deg f$ is even when $n$ is odd. A map $f:S^n\rightarrow S^n$ satisfying $f(x)=f(-x)$ for all $x\in S^n$ is said to be an even map. Show that if $f:S^n\rightarrow S^n$ is an even map, then $\deg f=0$ when $n$ is even and $\deg f$ is even when $n$ is odd. Moreover show that when $n$ is odd, there exist even maps of any given even degree.   My Try:  So $f=(-I)\circ f$. Then $\deg f=\deg (-I)\times \deg f$. If $n$ is even $\deg (-I)=-1$. Hence, $2\deg f=0$, so $\deg f=0$. But how do I show the results when $n$ is odd. No clue at all. This problem is in Hatchers book (A very complicated text). There is a hint but I do not understand it. Can somebody help me to proceed? What is this rhetorical scheme or literary device called? I can't recall the name of the rhetorical scheme or literary device involved with using the same word more than once within the same sentence but with different meanings:  "The only thing we have to fear is fear itself."    fear - verb fear - noun   "Turn right right here."   right - adv. directional right - adv. in this place   "My feet are but feet away."   feet - noun lower appendage feet - noun distance 3/4 circle with plus in it? After I recently updated my phone about a day ago, this strange sign showed up on the top left that I have never seen before. Does anyone know what it means? Or how to get rid of it? Idempotents in a ring without unity (rng) and no zero divisors. Question: Given a ring without unity and with no zero-divisors, is it possible that there are idempotents other than zero?   Def: $a$ is idempotent if $a^2 = a$.   Originally the problem was to show that $1$ and $0$ are the only idempotents in a ring with unity and no zero-divisors, but I wonder what happens if we remove the unity condition.   I am trying to find a ring with idempotents not equal to $0$ or $1$. So far my biggest struggle has been coming up with examples of rings with the given properties.   Does anyone have any hints? How should I attack this problem? How do I downgrade Firefox v. 57 to v. 56? What is the most straight forward way to downgrade Firefox 57 to Firefox 56?   This is to have more time to wait for working replacements for legacy extensions. Check synchronously if file/directory exists in Node.js What is the difference between dpkg and aptitude/apt-get? When installing a software via dpkg -i packageA.deb, will the dependencies required by packageA be downloaded and installed automatically? How is this different from using apt-get or aptitude? On a fresh install of TL 2018, on Linux, no tikz graph drawing libraries can be found.  The files, e.g. texlive/2018/texmf-dist/tex/generic/pgf/graphdrawing/tex/pgflibrarygraphdrawing.trees.code.tex are there.  \documentclass{scrartcl}   \usepackage{tikz} \usetikzlibrary{graphdrawing} \usegdlibrary{trees}    \begin{document}  Hello World  \end{document}   Compiling with lualatex yields   ! Package pgf Error: Graph drawing library 'trees' not found.