How do I download a YouTube video (in 2019)?
How do I download a YouTube video?
How to turn a ruled pattern into a multivariable function Inverse of a Positive Definite Let K be nonsingular symmetric matrix, prove that if K is a positive   definite so is $K^{-1}$ .   My attempt:  I have that $K = K^T$ so $x^TKx = x^TK^Tx = (xK)^Tx = (xIK)^Tx$ and then I don't know what to do next. Chmod to allow read and write permissions for directory I have created directories in root. I am looking for the chmod command to allow all users read and write permissions to a specific directory. I have done chmod 775 for a file but I need this for a directory. This includes permissions on all files and sub directories. Show there are infinitely many primes that are equivalent to 1 mod 8. Show there are infinitely many primes that are equivalent to $1 \pmod{8}$.  Hello there! I have been trying to do this problem for a pretty long time with no avail.    I noticed that this is really similar to Euclid's proof that there are infinitely many primes.  However, I can't find a way to use that here.  Can anyone help me? What does "Perform GC" button do in jconsole? I am developing a set of scripts, which I want to be present for all users, when I set up a server. But I don't want them in the standard locations like /usr[/local]/[bin],[sbin] etc.  Is there some existing convention for where such scripts should be placed? How to be sure API calls are using TLS 1.2 We are using .Net to make web service calls the Salesforce API. Is there a way to know for sure that the calls are using TLS 1.2? Are there any API logs or records of the protocol is use in Salesforce we can review to be confident the change is working? How can I find out which app is putting ads in my notification bar? Possible Duplicate:          Recently advertisements have started appearing as notifications in my phone's notification bar. The icon on the ad are either a green plus sign or a white star with a red circle inside it. There is no indication in the notification as to which app it came from.  I haven't installed any new applications, so I assume that some application updated to include this intrusive new ad system. Ads only show up at irregular intervals once every few hours, so removing all my apps one by one until the ads stop is not really a viable option, since I would have to wait several hours in between each uninstall to see if another ad appears. (I'm sure this is by design.)  So is there any way to figure out the source application of these notification ads?  My phone is a rooted/unlocked/whatever HTC Droid Incredible running MIUI. Intuitive explanation for how could there be "more" irrational numbers than rational? Possessive form of "one of [a list]"? Proving a limit of a trigonometric function: $\lim_{x \to 2/\pi}\lfloor \sin \frac{1}{x} \rfloor=0$ Windows utility to render which key I am pressing on-screen How to show textures in the 3D View editor? Prove $\int_0^{\infty}\! \frac{\mathbb{d}x}{1+x^n}=\frac{\pi}{n \sin\frac{\pi}{n}}$ using real analysis techniques only I have found a proof using complex analysis techniques (contour integral, residue theorem, etc.) that shows $$\int_0^{\infty}\! \frac{\mathbb{d}x}{1+x^n}=\frac{\pi}{n \sin\frac{\pi}{n}}$$ for $n\in \mathbb{N}^+\setminus\{1\}$   I wonder if it is possible by using only real analysis to demonstrate this "innocent" result?  Edit A more general result showing that  $$\int\limits_{0}^{\infty} \frac{x^{a-1}}{1+x^{b}} \ \text{dx} = \frac{\pi}{b \sin(\pi{a}/b)}, \qquad 0 &lt; a &lt;b$$ can be found in Intraclass correlation coefficient vs. F-test (one-way ANOVA)? I'm a little confused regarding the intraclass correlation coefficient and one-way ANOVA.  As I understand it, both tell you how similar observations within a group are, relative to observations in other groups.  Could someone explain this a little better, and perhaps explain the situation(s) in which each method is more advantageous? SEO and URL Shorteners How does the US federal income tax system work? General question here about US personal income federal tax rates.  Is it a cumulative effect where your income is first taxed at the lower tranches and move up, or is it one specific percent for your entire taxable income? difference fn(String... args) vs fn(String[] args) Whats this syntax useful for :       function(String... args)   Is this same as writing       function(String[] args)    with difference only while invoking this method or is there any other feature involved with it ? "X Department" versus "Department of X" I would like to know whether these phrases "English Department" and "Department of English" have the same meaning. Thanks! Using "you" and "your" as a representation for yourself and everyone in general Example sentence:     I love when your dog just lets you sit there to pet them. You don’t necessarily know if they are enjoying it, but they love you enough to just sit there with you for a bit.   Is this correct? We assume the words "you" and "your" refer to the speaker of the sentence, and not to the listener, as second-person usually does. But it also refers to dog owners in general. I have always been curious about this.