I keep reading that the Bluetooth Low Energy modules are capable of working with a CR2032 battery for years, but their consumption is around 20mA and the max discharge of a CR2032 is around 3mA (200uA standard). How could this be possible?  I'm pretty sure it has something to do with the pulse discharge current, but the datasheets usually don't have a lot of information about that. In this case how can I determine the relation between the discharge current and the duration of the pulse?
I'm trying to determine which battery to use for my application. I'll be using a class 1 or class 2 Bluetooth (not low energy) module, which requires about ~50/60mA of RX/TX current. In addition, there is a microcontroller and some low power analog IC's. I require a continuous stream of data from the device for 1-10 minutes.  Are coin cells completely out of the question? I'm talking about CR2450 Lithium-ions. I don't really mind if they don't last long, but will they work? Because in my application, size is key, and battery life is a trade off that I'm willing to make.
My question is in the title: Do black holes have a moment of inertia?  I would say that it is: $$I ~\propto~ M R_S^2,$$ where $R_S$ is the Schwarzschild radius, but I cannot find anything in the literature. How to make pdfsam work in (L)ubuntu 18.04? Why do we use this definition of "algebraic integer"? A number is an &quot;algebraic integer&quot; if it is the root to a monic polynomial with integer coefficients. Artin says (Algebra, p. 411):  The concept of algebraic integer was one of the most important discoveries of number theory. It is not easy to explain quickly why it is the right definition to use, but roughly speaking, we can think of the leading coefficient of the primitive irreducible polynomials $f(x)$ as a &quot;denominator.&quot; If $\alpha$ is the root of an integer polynomial $f(x)=dx^n+a_{n-1}x^{n-1}...$ then $d\alpha$ is an algebraic integer, because it is a root of the monic integer polynomial $x^n + a_{n-1}x^{n-1} + ... + d^{n-1}a_0$. Thus we can &quot;clear the denominator&quot; in any algebraic number by multiplying it with a suitable integer to get an algebraic integer.  When I first learned of algebraic integers, I looked online and saw some hints that maybe they were used to prove the Abel-Ruffini theorem. So I put off questioning their usage for a while; I now think I understand one proof of this theorem (the one at the end of Artin's Algebra) and it has nothing to do with algebraic integers (that I can tell). So basically: why is it important if a number is an algebraic integer? I think I understand what he's saying about the relationship between roots of integer polynomials and algebraic integers, but I fail to see why this is &quot;one of the most important discoveries of number theory.&quot; how can i automatically record every terminal session? Irreducibles are prime in a UFD What is the best way to handle a lot of misused tags? So today I noticed a question that had the  tag. As the question was not about JSFiddle, and only included a link to the site, I thought somebody has just created this for the sake of it. So I decided the best action would be to remove it, and try to stop it from getting out of control.  But then I searched (clicked the tag) for other questions that used it and I was amayonaised to see over 500 questions had the very same tag! Most of which were incorrectly tagged. So I cleaned up a couple and then quickly got bored.  So I am wondering, aside from going through them all by myself, is there a more efficient way?  I think it would be a great idea if there was some feature (probably an admin feature) that allowed a new tag queue to be added to the review list. I think this could work well as follows:   Somebody brings up the problematic tag in question (e.g. Me on here) An admin reviews my concern, and decides that the tag is very misused That admin adds the tag for review in a (temporary) new review queue. All users that can review can then go through existing tags, and vote for "No action" or "Remove tag" The world becomes a slightly better place   ...or not?    By the way, I tried to add some new tags to this post but I don't have the rep. So if someone could create them for me that would be swell: "musefan", "today", "sunny-spells", "pointless-tags" Proving if $d_0$ is the smallest positive integer in $S$ then $d_0 = \gcd(a,b)$ "did shoot" vs "shot" This morning I read this sentence (see ):     On July 24th and again on July 29th,   Egyptian police did shoot dead unarmed   African migrants attempting to cross   that border.   Why "did shoot" and not "shot"? What's wrong with this? How do you close windows/tabs in 2.8? I've tried a lot of stuff, but always end up opening up more. Pause button started working for Chrome / Youtube, messing with audio player controls A simple pendulum moving at a relativistic speed - how does the period change? I've been pondering the precise mechanism of time dilation for the example of a simple pendulum in two different situations:   The observer and ground are at rest in one frame of reference;  the pendulum is moving at high speed with respect to that frame. The observer is at rest in one frame of reference; the pendulum and the ground together move at high speed with respect to that frame.   user8260 has pointed out that in situation 1, in the pendulum's frame $g$ is greater by $\gamma^2$ compared to $g$ in the observer's frame. Thus in the pendulum's frame the period is less than it is in the observer's frame by a factor of $1/\gamma$, just as one would expect from time dilation.  But what about situation 2? Here, compared to the pendulum frame, the observer sees the pendulum with the same length in a stronger gravitational field, yet observes a longer period. Does the inertial mass of the pendulum change differently than its gravitational mass? Also, does the analysis depend on whether the plane of swing is perpendicular or parallel the direction of motion? Pretty-print a Map in Java How to install Microsoft fonts on Ubuntu 16.10? Chat requirement to post images should be made explicit There is (apparently) a 100 reputation requirement to upload and post images through chat.  There isn't any easily located documentation on this, however. 100 global reputation is listed as the privilege for , while the chat FAQ and help both do not mention any restrictions on uploading images.  As such, could somewhere other than  be used to indicate that there is a reputation requirement in chat for uploading images? Can I uninstall and reinstall Ubuntu Software Center? Let $f$ be a continuous function. If $f$ is uniformly continuous then it maps cauhy sequence into cauchy sequence. Is the converse true? That is if $f$ maps cauchy into cauchy gives the uniform continuity of $f$. I think it's no. Can suggest a counter example Caption makes Table move in statsoc class Minecraft Laucher has no Versions So this if the first time this has ever happened too me and I was wondering what it is. I just downloaded Minecraft and there is no area where i can change my version too 1.8.9/1.7.10 all i see when I do it is blank  Im just Wondering on how come even tho i hit the Repair button on the minecraft.msi download it dosnt fix it... If there is a way too fix this let me know cause my friend wants too play and I cant cause of this.. Alternatives to Shapefiles as open-source, cross platform dataset types