Batch resize vertical photos to a square without cropping using a blurred background
Batch fit images into ratio with blurred background
CHECK constraint in MySQL is not working What licence is subscriber content provided under 4.0, 3.0 or them all? How can I concatenate two arrays in Java? I need to concatenate two String arrays in Java.  void f(String[] first, String[] second) {     String[] both = ??? }   What is the easiest way to do this? I remember being taught that the correct order of adjectives in English was something along the lines of "Opinion-Size-Age-Color-Material-Purpose."  However, it's been a long time and I'm pretty sure I've forgotten a few categories (I think there were eight or nine). Can anyone fill them in? Can I configure Ubuntu to never install a specific package even if it is required by another package I install? How can I find the value of the sum $\sum_{k=1}^{\infty}\frac{k^n}{k!}$? for example for $n=6$, we have $$\sum_{k=1}^{\infty}\frac{k^6}{k!}=203e.$$ cardinality of all real sequences I was wondering what the cardinality of the set of all real sequences is. A random search through this site says that it is equal to the cardinality of the real numbers. This is very surprising to me, since the cardinality of all rational sequences is the same as the cardinality of reals, and it seemed fairly intuitive to me that if cardinality of a set $A$ is strictly greater than the cardinality of the set $B$, then cardinality of $A^{\mathbb{N}}$ should be strictly greater than cardinality of $B^{\mathbb{N}}$. It turns out to be false.  Some technical answers have appeared in this forum elsewhere but I do not understand them. As I am not an expert in this topic, could some one explain me in simple terms why this is happening?  Also is the cardinality of all functions from reals to reals also the same as the cardinality of reals? On August 5, 41 days ago, I submitted an application for a UK visitor visa. This is the third time I have applied. The only notice I have received so far says this: "Unfortunately, the processing of your application has not been straightforward. This means that we will be unable to make a decision within our published customer service standards." What should I do? Query works in SQL Server 2005 but syntax error for SQL Server 2000 every planar graph can be expressed as a union of five edge-disjoint forests How can I prove that every planar graph can be expressed as a union of (maximum) five edge-disjoint forests?  Only thing I can think about is going somehow like the $5$ color theorem but I get stuck in the middle. Or with induction, but still something doesn't fit. Can you help? Time taken to hit a pattern of heads and tails in a series of coin-tosses Inspired by Peter Donnelly's talk at , in which he discusses how long it would take for a certain pattern to appear in a series of coin tosses, I created the following script in R. Given two patterns 'hth' and 'htt', it calculates how long it takes (i.e. how many coin tosses) on average before you hit one of these patterns.  coin &lt;- c('h','t')  hit &lt;- function(seq) {     miss &lt;- TRUE     fail &lt;- 3     trp  &lt;- sample(coin,3,replace=T)     while (miss) {         if (all(seq == trp)) {             miss &lt;- FALSE         }         else {             trp &lt;- c(trp[2],trp[3],sample(coin,1,T))             fail &lt;- fail + 1         }     }     return(fail) }  n &lt;- 5000 trials &lt;- data.frame("hth"=rep(NA,n),"htt"=rep(NA,n))  hth &lt;- c('h','t','h') htt &lt;- c('h','t','t')  set.seed(4321) for (i in 1:n) {     trials[i,] &lt;- c(hit(hth),hit(htt))     } summary(trials)   The summary statistics are as follows,        hth             htt          Min.   : 3.00   Min.   : 3.000    1st Qu.: 4.00   1st Qu.: 5.000    Median : 8.00   Median : 7.000    Mean   :10.08   Mean   : 8.014    3rd Qu.:13.00   3rd Qu.:10.000    Max.   :70.00   Max.   :42.000    In the talk it is explained that the average number of coin tosses would be different for the two patterns; as can be seen from my simulation. Despite watching the talk a few times I'm still not quite getting why this would be the case. I understand that 'hth' overlaps itself and intuitively I would think that you would hit 'hth' sooner than 'htt', but this is not the case. I would really appreciate it if someone could explain this to me. The description of the  says:     Your Intelligence score is 19 while you wear this headband. It has no   effect on you if your Intelligence is already 19 or higher.   The  spell description says that my Intelligence score becomes 1 on a failed save:     [...] On a failed save, the creature's Intelligence and Charisma   scores become 1. The creature can't cast spells, activate magic items,   understand language, or communicate in any intelligible way. [...]   If I am affected by Feeblemind and I am wearing the Headband of Intellect, would I have an Intelligence score of 19 or 1?   Also, what about the other effects like not being able to cast, activate magic items, understand languages or communicate in any way? Those seem Intelligence-related, but are mentioned additionally to the reduction.   If the Intelligence score becomes 19, are the other effects still active? I'm looking to get data such as Size/Capacity, Serial No, Model No, Heads Sectors, Manufacturer and possibly SMART data. Magnetic Field in the presence of a conductor I am studying for my quals and came across an old question that reads like the following:      There are two regions in space separated by an infinite conducting plane. Region 1 has a magnetic dipole of moment $\vec{\mu}$ located a distance $d$ from the plane. What is the magnetic field $\vec{B}$ everywhere in region 1?   I know that for a perfect conductor (superconductor), the normal component of $\vec{B}$ is zero–although I don't exactly know why–but I don't know if that is the case when the problem involves a "conductor" (not explicitly a perfect conductor).  TL;DR: Can anybody give me some insight about the magnetic boundary conditions of a stationary magnetic field in the presence of a conductor?  Thanks! Web sites can contain JPEG, GIF,PNG, SVG format graphics. Which ones should be used, and when? Newton's Law of Graviation: Why $G$ and not e.g. $\dfrac{1}{4\pi G_0}$? What are the current travel restrictions on individuals entering the United States from regions affected by Covid-19? Suppose that $f$ is holomorphic on $\mathbb C$ and that $\Re(f(z))\ge 0$ for all $z$. Show that $f$ is constant. [Hint: consider $e^{−f(z)}$.]   My thoughts: If $\Re(f(z))\ge 0 $ holds, then $e^{−f(z)}$ is a bounded holomorphic function (do I need to prove this or is it obvious?) So then by Liouville's Theorem $e^{−f(z)}$ is constant.   But then I'm not sure how to rigorously go from this $\exp(−f(z))$ back to $f(z)$.   Could anyone help me piece this together please?  Thanks Nautilus context menu for current directory when there's lots of files / "Open in Terminal" App Store on Mojave: "We could not complete your purchase. cancelled" Whenever I try to Get then Install any app from the App Store, I get this message:     We could not complete your purchase.  cancelled   I did some searching online, but barely found any useful hits. What is this about?!