One thing i never really understand is why kernel trick is called 'kernel'.  Kernel means:   the central or most important part of something.  synonyms:   essence, core, heart, essentials, quintessence, fundamentals, basics, nub, gist, substance;   what's the connection between above definition and 'make low dimension samples repeatable in high dimension'?  does anyone have any insights here?
There are several distinct usages:   kernel density estimation   kernel trick   kernel smoothing   Please explain what the "kernel" in them means, in plain English, in your own words.
Chance of selecting the last k pages in correct order from a set of n pages I have a set of documents numbered 1 to n. If I arrange the documents randomly, what is the chance of selecting the last k pages in the correct order if I select them at random from the documents?   Because order is important, I use the following formula:  $\displaystyle\frac{n!}{(n-k)!}$  From this I calculate how many ways there are to select k pages from n pages in the correct order. I need to have the last k pages. Which I can do in only one way. So is the chance   1/$\displaystyle\frac{n!}{(n-k)!}$?   It seems unlikely. It seems to me spontaneously that the chance should be smaller. Add a list of questions selected for HNQ to the 10k tools Now that questions selected for Hot Network Questions have a record attached to them, those can be queried for in the Data Explorer. However, the Data Explorer is only updated once a week. It would be nice to also have a full list of questions that are selected for Hot Network Questions and the times they were selected added to the 10k tools. In my opinion, it adds to the &quot;bird's eye view&quot; of the site that is afforded to them, and is in line with other similar lists (e.g. migrated questions, protected questions, etc.). Also, a list of questions that were removed from Hot Network Questions by a moderator would be very nice as well. I have read the explanation for this in several textbooks, but I am struggling to understand it via Archimedes' principle. If someone can clarify with a diagram or something so I can understand or a clear equation explanation that would be great. Where can I find other RPG players? Confidence Interval Calculation I have temperature data of July 1991 to 2007, and wants to find the Confidence Interval at 95%, which distribution is best fit the data, Z or T. Please give me reason also.    minTemp = 14.4444, maxTemp = 38.3333, SizeofData = 527, (17 years) hist(July, 20), histfit(July, 20); Is there a Raster Equivalent of the Split tool? Reading console input in MonoDevelop heredoc for Windows batch? What is meant by a shell is in "vi" mode or "emacs" mode? This question follows directly from . In this case I am specifically unable to understand the part which says:     In that regard, its behaviour is closer to emacs' than with   bash(readline)/ksh/zsh emacs mode, but departs from the terminal   driver embedded line editor (in canonical mode), where Ctrl-W deletes   the previous word (werase, also in vi).   Here we are talking about shells and not editors which are two completely different programs. What does it mean to say shell is in some editor mode?  P.S: You can base your answer on the premise that I understand what a shell is and how to use vim for basic editing. How to deal with variable income in the budget We have a budget planned out for various categories, and in order to make ends meet we count on child support for my wife's child from a previous marriage.  However, lately we have not been receiving this amount.  How do we deal with this in the budget?    My wife has just been "borrowing" it from our savings, but I don't think that is reasonable given that I find it highly unlikely we will ever be able to recover it.  On the other hand, she doesn't think it reasonable to cut out of her budget and cutting it out of the budget for the kids (which is where it really should be going!) isn't reasonable either. Which of the following is most correct?      The distance of the shortest path must not be higher than 10km.   The distance of the shortest path must not be greater than 10km.   The distance of the shortest path must not be bigger than 10km.   Or is there an even better word? I've tried everything I can think of. Resetting the router, changing the channel number and band.   The internet connection is fine, and then just hangs for a minute or 2, then returns to normal.   The wifi icon remains connected, and I have the latest 10.10.4 update installed. At first I thought it was a DNS bug with Yosemite, and have played with the settings such as changing DNS provider, changing the IPV6 to IPV4 only etc.  Driving me nuts. Has anyone had a similar problem? I've checked the surroundings with wifi scanners and have chosen the best channel available.     One thing I have noticed, it seems a lot more reliable on 5GHz as opposed to 2.4Ghz It seems to affect my Macbook Pro Retina 13in Early 2015 a lot more than the other devices on the network. I'm using a Virginmedia  1. Should 'drive by' downvoting be more effectively caught? I have an answer that I'm certain is technically correct. However, it continues to be downvoted. The answer has already been noted in comments on other answers to be better. It goes more in-depth than the others, yet it continues to be downvoted.  The already upvoted answers were nowhere close initially, and I had already commented on them to say why it is wrong...  Isn't there a limit for that? Shouldn't something be catching this? What's the simplest way to call Http GET url using Delphi? There's a web services I want to call in my application, I can use it with importing the WSDL or by just use "HTTP GET" with the URL and parameters, so I prefer the later because it's simple thing.  I know I can use indy idhttp.get, to do the job, but this is very simple thing and I don't want to add complex indy code to my application.  UPDATE: sorry if I was not clear, I meant by "not to add complex indy code", that I don't want add indy components for just this simple task, and prefer more lighter way for that. Trying to hide spam/offensive deletions on user profiles announces them Story about last 2 men on Earth. One very evil, and the other very ethical Are there any published details of Kenobi's communication with Lars family on Tatooine before ANH? Selecting Unique Elements From a List in C# If $F\supset E$ and $E\supset k$ are normal extensions. I want a counter-example where $F\supset k$ is not normal Polite or unrectified placement of the word please