I'm aware that the angle in radians is 1 when the arc length is equal to the radius. However, I wonder if this is exactly where radians come from. Have we set radians like this (like we set $i^2$ to $-1$) or is there something more to it?
I have learned about the correspondence of radians and degrees so 360° degrees equals $2\pi$ radians. Now we mostly use radians (integrals and so on)  My question: Is it just mathematical convention that radians are much more used in higher maths than degrees or do radians have some intrinsic advantage over degrees?  For me personally it doesn't matter if I write $\cos(360°)$ or $\cos(2\pi)$. Both equals 1, so why bother with two conventions?
Selenium Webdriver: No such element exception even though element gets available after waiting for some time How to find all the tables in MySQL with specific column names in them? Why does replication require primers while transcription does not? The title kind of says it all. Is it possible to replace C# with C++ on a game using Unity? How do you keep parents of floated elements from collapsing? How to say that you have plans to go to the movies tonight? How to say that you have plans to go to the movies tonight (but you are not sure yet, maybe you will have a pizza)? I mean there are options:     I am going to the cinema tonight.   Way too much certainty in this. For me it means that you have already bought tickets, the least.     I am going to go to the cinema tonight.   Sounds a bit awkward.     I will go to the cinema tonight.   Sounds too formal to me. How did the Swooping Evil Venom infused rain affect the magical community? I didn't see any wizards drenched in the rain at the end of Fantastic Beasts and Where to Find Them (don't recall, actually). But would the rain equally affect the wizards as it did no-maj's?   This event is something that doesn't necessarily need to be forgotten by the Wizarding community. How would they avoid being obliviated by the rain?  (They could avoid the rain by Apparating, but what about the showers and drinking water?)  This question is picking at my brain. Since I want to protect my ssh connections, I set some global cipher suite options to restrict set of used algorithms. But recently I've encountered a server which doesn't support some of those algorithms. So, I need to selectively enable deprecated algorithms for a specific host record in client (my system) configuration.  I found out that the options override is not working as I expected. Let's take a minimal (not-)working example for the github:  HostKeyAlgorithms ssh-ed25519-cert-v01@openssh.com,ssh-ed25519,ecdsa-sha2-nistp521-cert-v01@openssh.com,ecdsa-sha2-nistp521,ecdsa-sha2-nistp256  Host github     HostKeyAlgorithms ssh-rsa     Hostname        github.com     Port            22     User            git     PubkeyAuthentication yes     IdentityFile    ~/.ssh/some-filename-here   Having that, I receive the following error (HostKeyAlgorithms is not overriden at all):  debug1: /home/username/.ssh/config line 14: Applying options for github &lt;...&gt; debug2: kex_parse_kexinit: ssh-ed25519-cert-v01@openssh.com,ssh-ed25519,ecdsa-sha2-nistp521-cert-v01@openssh.com,ecdsa-sha2-nistp521,ecdsa-sha2-nistp256 &lt;...&gt; Unable to negotiate with 192.30.252.130: no matching host key type found. Their offer: ssh-dss,ssh-rsa   It is similarly not working for the global PubkeyAuthentication no options with an override in a host configuration.  Also, the match doesn't help either:  match host github     HostKeyAlgorithms ssh-rsa   So, is there a way to selectively redefine those options?  NOTE: I'm using the openssh-7.1_p2-r1 on gentoo. Using a transistor as a switch I am attaching a motor to an ATmega32 chip. I want to build an H-bridge but before doing that, I want to control the motor using the chip. I bought few NPN Transistors from RadioShack. I have 5V running though the breadboard. I attached Vcc to the Collector, Base to the Pin, and Emitter to the motor. And other wire of motor is hooked up to Ground. Unfortunately, the power coming out of the transistor is too low, the motor is barely moving (As opposed to when I hook up my motor straight to 5V). What is wrong? Do I need a different transistor or is my setup wrong? If it is the transistor, can you please recommend the right one, I am not too good at those. How can a capacitive touch screen be triggered without human contact? I want to robotically touch an iPhone screen without any human intervention.   I've done some experiments but have not found a reliable solution. It seems even styluses that work through gloves still rely on the capacitive characteristics of the human body.    Carrot held by human works Carrot held in plastic clamp doesn't Pogo Stylus works held by human and held by human through clothes Stylus does not work held in plastic clamp.  Stylus works held in plastic clamp attached to human through clothes via jump lead. Stylus held in plastic clamp with jump lead dangling off seems to work most the time.   Is it possible to mimic the human element using capacitors and other components? What signal does the capacitive screen need to be triggered?  Thanks How do I assign the output of a command to a variable? PHP class: Global variable as property in class Solving a Diophantine equation with a large solution I have removed Windows 7 using GParted, and want my computer to boot straight into Ubuntu, but I still get the dual boot screen, how can I fix this? Evaluating the double limit $\lim_{m \to \infty} \lim_{n \to \infty} \cos^{2m}(n! \pi x)$ I have to find out the following limit $$\lim_{m\to\infty}\lim_{n\to\infty}[\cos(n!πx)^{2m}]$$ for $x$ rational and irrational. for $x$ rational $x$ can be written as $\frac{p}{q}$ and as $n!$ will have $q$ as its factor the limit should be equal to 1. the second part of irrational is giving me problems. I first thought that limit should be zero as absolute value of cosine term is less than 1 and power it to infinity you should get $0$. But then I realised that it was wrong. I brought the limit down to this form. $$e^{-\sin^2(n!πx)m}$$ after this I find the question quite ambiguous as they have just said $x$ is irrational. If I take $x$ as $\frac{1}{n!π\sqrt{m}}$ I get the limit as $\frac{1}{e}$ but if I take  $x$ as $\frac{2}{n!π\sqrt{m}}$ I get the limit as $\frac{1}{e^4}$. please help me and tell me where have I gone wrong? How to Store Fresh Herbs Should it be obvious that independent quantum states are composed by taking the tensor product? At level 18,  get the  feature (PHB, p. 103):     Beginning at 18th level, when you roll damage for a spell and roll the highest number possible on any of the dice, choose one of those dice, roll it again and add that roll to the damage. You can use the feature only once per turn.   When you score a critical hit with an attack (even a spell attack), you double the amount of dice you roll.  Does the additional damage die from Spell Bombardment also get rolled twice on a critical hit? Word for feeling conflicting emotions simultaneously how implement the jqueryUI in visualforce