Say, for example, we have a $Y \sim \mathrm{Uniform}(0, 0.25)$, then $P(Y = y) = 4$ for all $Y \in [0, 0.25]$. My question is: what is the statistical significance/meaning of the $4$?
On the , there is this line:      $p(\mathrm{height}|\mathrm{male}) = 1.5789$ (A probability distribution over 1 is OK. It is the area under the bell curve that is equal to 1.)    How can a value $&gt;1$ be OK? I thought all probability values were expressed in the range $0 \leq p \leq 1$. Furthermore, given that it is possible to have such a value, how is that value obtained in the example shown on the page?
Why does a 95% Confidence Interval (CI) not imply a 95% chance of containing the mean? It seems that through various related questions here, there is consensus that the "95%" part of what we call a "95% confidence interval" refers to the fact that if we were to exactly replicate our sampling and CI-computation procedures  many times, 95% of thusly computed CIs would contain the population mean. It also seems to be the consensus that this definition does not permit one to conclude from a single 95%CI that there is a 95% chance that the mean falls somewhere within the CI. However, I don't understand how the former doesn't imply the latter insofar as, having imagined many CIs 95% of which contain the population mean, shouldn't our uncertainty (with regards to whether our actually-computed CI contains the population mean or not) force us to use the base-rate of the imagined cases (95%) as our estimate of the probability that our actual case contains the CI?   I've seen posts argue along the lines of "the actually-computed CI either contains the population mean or it doesn't, so its probability is either 1 or 0", but this seems to imply a strange definition of probability that is dependent on unknown states (i.e. a friend flips fair coin, hides the result, and I am disallowed from saying there is a 50% chance that it's heads).  Surely I'm wrong, but I don't see where my logic has gone awry... Spacial curvature and expanding space If we take the analogy that in an empty space the space is just a flat sheet then if there is a single planet or a star then the flat sheet will curve below the planet leaving a curvature shaped like a hemisphere below the object, my question is, Does this curvature change as space expands? What is needed for a game's stats to be saved? Last night I played a few games with my friend. While in the last game, I suddenly remembered something I had to do and was about to leave but my friend told me that I would lose my progress if I did so. I stayed until the end, through the scoreboard screen and quit while the next map was loading. Taking a look  now, I can't see any of yesterday's games. I don't remember how much XP I had yesterday so there is no sure way for me to check that. I had gotten a dozen ribbon and I don't see them in the feed, but there could be specific conditions to be showing them.  My questions then.   If you quit a game early, do you lose progress / XP? What if you quit on the scoreboard? Do you need to wait for the next map to load to save your progress? Any idea why the games aren't showing up? Some of them I definitely waited for the next map to load. Is there a delay for them to be shown on Battlelog?   Thanks. Is there any matrix $2\times 2$ such that $A\neq I$ but $ A^3=I$? Is there any $2 \times 2$ matrix $A \neq I$ such that $A^3=I$?  In my opinion: no. Thank you very much. how to extract multiple zipped and rar files recursively? I have a folder ExampleFolder which contains many zipped folders. These zipped folders also contains multiple zipped folders. How to go through ExampleFolder and extract all of its zipped folders recursively?   Note that ExampleFolder itself, is not zipped, it's just a normal folder  Okay now I know what's happening Rinzwind and nux answers are both correct (except that I have to keep pressing Y or A forever)  But it's seems that some of the zipped files, contained zipped files and rar files as well, the rar files will not be extracted by   while [ "`find . -type f -name '*.zip' | wc -l`" -gt 0 ]; do find -type f -name "*.zip" -exec unzip -- '{}' \; -exec rm -- '{}' \;; done    or whatever  Edit 2 Some files are named .r00 and r01, .r02 up to r14, they are rar files, but not .rar Inspired exercise Sheet from Indesign I would like to create this sheet which was made it by adobe indesign   Could someone create it with latex ?     Here's my code:  \documentclass[12pt,a4paper,twocolumn]{report} \usepackage[margin=0.5in]{geometry} \usepackage[french]{babel} \usepackage{fontspec} \usepackage{graphicx} \usepackage{amsthm,amssymb,amsfonts,mathtools} \usepackage[utf8]{inputenc} \usepackage{multicol} \usepackage{multirow} \usepackage{amssymb} \usepackage{array} \usepackage{graphicx} \setlength{\columnseprule}{0.5pt} \thispagestyle{empty} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{document} %%%%%%%%%%head%%%%%%%%%%%%%%%%%%%%%%% \twocolumn[    \begin{@twocolumnfalse}  \begin{center}  \fbox{\Large Exercise Sheets} \end{center}     \hrulefill \end{@twocolumnfalse}   ]  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  \fbox{ Exercise $1$:}\\  Compute the following limits \begin{multicols}{2} \begin{enumerate} \item $\lim_{x\to 2}\dfrac{4x^{3}-5x-22}{x^{2}-x-2}$ \item $\lim_{x\to 0^{+}}\dfrac{x-\sqrt{x}}{x+\sqrt{x}}$ \item $\lim_{x\to 1}\dfrac{\sqrt{x+3}+\sqrt{x}-3}{x-1}$ \item $\lim_{x\to 2}\dfrac{x^{2}\sqrt{x+2}-8}{4-x^{2}}$ \end{enumerate} \end{multicols}  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \fbox{ Exercise $2$:}\\ Let $n\in\mathbb{N}^{*}$ \begin{enumerate}     \item calculate : ${\displaystyle \lim_{x\to 0}\dfrac{1-\cos(x)\cos(2x)\ldots+\cos(nx)}{x^2} }$     \item b     \item c     \item d     \item e     \item f \end{enumerate} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \end{document} Can gravity be interpreted as the acceleration of spacetime towards an object? Greetings StackExchange!  We were having a conversation with a peer about stupid ways of interpreting theories. We would go to and fro with an interpretations, but we would always find a way to disprove them. There was one, however, that we couldn't refute:  Gravity on a plane in a bidimensional space can be interpreted as the acceleration of spacetime towards an object.   We tried to invalidate in saying that the inertial mass and gravitational mass would be different, thus violating GR, but after some thought this couldn't be. The gravitational mass would accelerate spacetime towards it. If that object we were to be pushed, the pulling of spacetime would make it difficult for it to move.   We know for a fact this can't be true, and we would greatly appreciate any refutation of this thought. I can clarify if needed, or do a sketch. I apologise in advance as I'm not a native speaker. How can I move Steam games to another disk? Are there good alternatives to "making the best of a bad situation?" Life is full of adversity, and people facing challenging life circumstances have to find a way to cope. I'm interested in single words, phrases, or idioms that capture coping strategies. For example:     Jane's job was absurdly repetitive and oppressive, but for her family, she tried to make the best of a bad situation.   Are there good alternatives to the coping strategy of making the best of bad situation?   Clarification: I am looking for alternatives, especially idioms, that don't involve words like good and bad. How to clone/copy all file/directory attributes onto different file/directory? I want to copy the attributes (ownership, group, ACL, extended attributes, etc.) of one directory to another but not the directory contents itself.  This does not work:  cp -v --attributes-only A B cp: omitting directory `A'              Note: It does not have to be cp. By accident, I used rm on a file I didn't want to delete. Is there a way that I can get it back under Linux? Is there a reason, beyond historical reasons, that three phases has become the dominant number of phases?  I am aware of the advantages against one phase and two phase, namely the reduced amount of conductor needed, and that motors can provide torque when stalled (and less pulsation).  Is this solely due to diminishing returns, with only a small increase in smoothness of torque application, at the cost of increased complexity (increased number of wires (albeit of smaller CSA)).  To be clear, the phases are all evenly distributed, that is, five phases separated by 72 degrees. Proving $ 1+\frac{1}{4}+\frac{1}{9}+\cdots+\frac{1}{n^2}\leq 2-\frac{1}{n}$ for all $n\geq 2$ by induction How can I obfuscate (protect) JavaScript? Proving a function is constant, under certain conditions? The problem:  Assume $f: \mathbb{R} \rightarrow \mathbb{R}$ satisfies $|f(t) - f(x)| \leq |t - x|^2$ for all $t, x$. Prove $f$ is constant.  I believe I have some intuition about why this is the case; i.e. if $t$ and $x$ are very close, ($|t - x| = \epsilon$), then $\sqrt{\epsilon}$ will converge to 0, so $|f(t) - f(x)|$ will also converge to zero if you keep taking $t$ and $x$ closer and closer to each other. However, how do I formalize this argument? Thanks. I am trying to represent trade flows on a world map where the size and direction of arrows indicate the exports/imports of a given country.  This type of map is commonly found in magazines and newspapers. However, I find it extremely difficult to make.   Is there any function in ArcGIS for Desktop or any free software that would help me in making it? It would help everyone if we provided a mechanism that people could use to flag their post if English is language they are not comfortably fluent in. A lot of non-English speakers have to go to English forums for tech support and find it embarrassing to ask questions in broken Englis.   Worse, people reading a post often cannot tell if a badly-worded post results from a poor English or just laziness and sloppiness on the part of a native English speaker. Personally, I will take the time to puzzle out a poorly-worded post if I know the author is struggling with English, but if I think they're just lazy and careless I won't bother.   A simple check box could flag the author as a non-English speaker and allow everyone to adjust accordingly.   Edit01:  Some answers below have accused me of being 'elitist'. I'm not sure where they got the idea that I was sneering down at anyone because their abilities at either English or coding. That was not my intent.   When I said I would not bother with post that appeared to incoherent owing to laziness or carelessness, I am not being elitist. I'm giving priority in my time budget to people who are respectful enough of my time to spend the their time writing as clear a question as their grasp of English and coding allows. Why should I spend time answering a careless and slapdash post when I could spend that time helping posters who took more of their time writing their questions?   I am perfectly willing to burn a lot of time helping someone struggling to write code in their non-native language. I have a hard enough time coding myself in English that I can't even imagine what a dog's breakfast I would make of it if I had to code in, say, Korean.    I have seen many instances in which questions have been downvoted when a quick glance at the poster's profile gives a strong hint they are not native English speakers. I would like a system that would spare those posters from being downvoted or ignored by using an interface element that clearly communicates in a standardized way whether the poster natively speaks English or not.   I don't see what's elitist about that.    Edit02:   (original unedited) I'm talking about:     Hy, I have a childe view that put it   self over other brother views. The   problem is that when i touch it the   brother also reacts at the touch   event. How can I disable touch   propagation on the underlieng brother   views?   I'm not even exactly sure what he is describing. I can guess that he has a sibling view that extends over its siblings but I'm not sure. If I edited it, I might not end up asking the same question the poster intended.   To answer the question, I will either have to (1) first ask for more detail and then keep checking back until I get it or (2) try to answer what I think the question is and possibly mangle it then have to come back and edit my answer all the while risking a downvote because I answered the wrong question.   I will take the time and the risk of down vote if the poster is not a native English speaker (or is a child) and the confusing question represents their honest best effort. If they're just being lazy, I have other people to help.   I would like a mechanism that would help me decide how to allocate my time and would protect the non-English speaking posters from unjust downvotes. Backup whole OS How do volume control headphones work? A recent question over on  got me to wondering how volume control headphones work.  I don't mean volume control which works by , but the kind of volume control that signals to the device to increase or decrease the signal output.  For instance, according to the , the volume controls are only for apple devices:     Universal Compatibility and Microphone Communication   LP comes with 2 cables for universal compatibility with all modern mobile and audio devices. The 3-Button remote microphone cable is designed for the latest Apple devices, including iPhone®,iPad®, iPod®, and Macbook series. The long audio-only cable and 1/4" adapter is universally compatible with all audio devices and professional equipment.   However this sort of device apparently works with some android phones and the question implies that it works with some computer sound cards on Windows machines too, but not being an Apple buyer (and only recently getting my first smartphone) I haven't seen this sort of thing before. I've done a quick google search, but can't find anything on standards for this technology.   How does this work?   Is it something as simple as shorting left/right/mic channels? If so, could using headphones of this type with equipment that doesn't support this technology, damage that equipment? Is it a serial signal, for instance sent over the mic channel? Does it just require a headphone  connector or a headphone  +microphone TRRS connector?   Does this technique have a name?  Incidentally, is someone could answer this, I can probably look up the rest of the information myself. *8') Is it as standard as it appears, or is everyone just following Apple? Is this something that is patented?   If so, who holds the patent and do they charge a license fee for people to use this technology? If not, is there an open standard for it?    There is some excellent information in  to the question  but it doesn't answer the specifics of how this type of volume (etc.) control works, since it now seems to be rather more common and standard. Many anime do not follow the manga history and are made shorter. However there are a few that do follow it or try to finish the history with the manga like the big three (Naruto, Bleach, One Piece), Death Note, and FMA Brotherhood. But others finish the anime without the real ending like FMA, Ouran High School, Pandora Hearts, Tsubasa Reservoir Chronicle. Why is this so? Is it because of the high cost? Or the lack of popularity?