Does mass dilate in general relativity. For example if I was accelerating will my mass dilate?  Thanks
I'm reading Nano: The Essentials by T. Pradeep and I came upon this statement in the section explaining the basics of scanning electron microscopy.     However, the equation breaks down when the electron velocity approaches the speed of light as mass increases. At such velocities, one needs to do relativistic correction to the mass so that it becomes[...]   We all know about the famous theory of relativity, but I couldn't quite grasp the "why" of its concepts yet. This might shed new light on what I already know about time slowing down for me if I move faster.  Why does the (relativistic) mass of an object increase when its speed approaches that of light?
This issue came up when I got different records counts for what I thought were identical queries one using a not in where constraint and the other a left join. The table in the not in constraint had one null value (bad data) which caused that query to return a count of 0 records. I sort of understand why but I could use some help fully grasping the concept.  To state it simply, why does query A return a result but B doesn't?  A: select 'true' where 3 in (1, 2, 3, null) B: select 'true' where 3 not in (1, 2, null)   This was on SQL Server 2005. I also found that calling set ansi_nulls off causes B to return a result. How to float until on left (or right) page? I have two sideways tables that I want on two facing pages so the reader can turn the entire book and read them both in one turn. For the moment I keep moving them around to keep them on facing pages. Is there a way I can make the first one float until it's on a left page and then place the other one right after? Or perhaps some similar way to automatically get them on the same spread? If there are 5 points on the surface of a sphere, then there is a closed half sphere, containing at least 4 of them.  It's in a pigeonhole list of problems. But, I think I have to use rotations in more than 1 dimension.  Regards How to prove that $p-1$ is squarefree infinitely often? How to prove that $p-1$ is squarefree infinitely often, where $p$ is prime?  I had thought of using Dirichlet's theorem on arithmetic progressions.  The number of squareful values of $p-1$ less than or equal to $n$ is bounded by $\sum_{q}{\pi_{q^2,1}(n)}$, each term $\pi_{q^2,1}(n) \approx \frac{\pi(n)}{q \cdot (q-1)}$, and $\sum_{q}{\frac{1}{q \cdot (q-1)}} \lt 1$.  But using for example , the possibility is open that the error in each approximation for $\pi_{q^2,1}(n)$ may continue to increase with $q$, and since the sum runs up to $\sqrt{n}$, this argument is invalid.  Is there a more refined version of Dirichlet's theorem that can be used to circumvent this issue?  Or an entirely different way to prove this statement? Quarks in a hadron: where does the mass come from? do not optimize/remove html I would like to have a page with some html content in it that CK Editor does not seem to support, in particular: I want to have a little &lt;form tag with a couple of &lt;input fields. I can enter it in Switch to plain text editor mode and save from there and it will keep the elements but when I want to edit the page, it'll go back to the Switch to rich text editor and remove my &lt;form html items. How can i set CD Editor to not remove any html it may not be able to render?  Thank you! How can we prove that     $$\sum_{k=0}^{n}\binom{R}{k}\binom{M}{n-k}=\binom{R+M}{n}?$$   (Presumptive) Source: Theoretical Exercise 8, Ch 1, A First Course in Probability, 8th ed by Sheldon Ross. How do we get Community Promotion Ads on beta sites? All the launched sites get Community Promotion Ads meta posts posted every year by a SE mod.  Previously, I thought that beta sites simply weren't allowed them. However,  is still in beta, and they had community promotions meta posts in  and  (I guess they haven't made one for 2015 yet).  So what happens? Do you just have to ask for one? Can the moderators of that site just create one as they like? Can anyone on that site just create one as they like? The divisibility rule for $3$ is well-known: if you add up the digits of $n$ and the sum is divisible by $3$, then $n$ is divisible by three.  This is quite helpful for determining if really large numbers are multiples of three, because we can recursively apply this rule:  $$1212582439 \rightarrow 37 \rightarrow 10\rightarrow 1 \implies 3\not\mid 1212582439$$ $$124524 \rightarrow 18 \rightarrow 9 \implies 3\mid 124524$$  This works for as many numbers as I've tried.  However, I'm not sure how this may be proven.  Thus, my question is:     Given a positive integer $n$ and that $3\mid\text{(the sum of the digits of $n$)}$, how may we prove that $3\mid n$? unsigned int vs. size_t Let $(M,d)$ be a metric space, and $A\subset M$. By definition, $A$ is said to be compact if every open cover of $A$ contains a finite subcover.  What is wrong with saying that, in $\mathbb{R}$, if $I=(0,1)$, we can choose $G=\{(0,\frac{3}{4}), (\frac{1}{4}, 1)\}$, which satisfies $I \subset \bigcup_{U\in G} U$, but we can't extract a finite subcover, so $I$ is not compact. Is $G$ a finite subcover of $G$, so it is not a valid cover for proving this? I would take $\cup_{n\in\mathbb{N}} (\frac{1}{n},1)$ in order to prove this, can we conclude that every open cover is necessarily a infinite union of open sets $\neq \emptyset$? Invalid selectOptions found. Use SelectOption type in Apex How to limit Docker total resources? I'm trying to limit the total resources accessible from docker (for example only 90% of the RAM and 1500% of the CPU). I cannot use CPU and RAM limit when I'm launching my containers, that's why I need to limit the total resources available for docker containers.  I have around 20 containers which can consume the maximum CPU and memory but not at the same time, so I cannot set the CPU and RAM limit, that's why I need to limit the total resource used by docker  First of all I've created a slice: I tried the instruction above, but impossible to limit both the RAM and the CPU usage  # /etc/systemd/system/docker_limit.slice [Unit] Description=Slice that limits docker resources Before=slices.target  [Slice] CPUAccounting=true CPUQuota=700% #Memory Management MemoryAccounting=true MemoryHigh=20G MemoryMax=25G MemoryMaxSwap=10G   And my daemon.json  {   "insecure-registries" : [ "url1", "url2"],   "cgroup-parent": "docker_limit.slice" }   But when I try from a container:  stress --vm-bytes $(awk '/MemAvailable/{printf "%d\n", $2 * 0.9;}' &lt; /proc/meminfo)k --vm-keep -m 1   I can see from docker stats it's using 111Go of Ram (full capacity of my server)  stress --cpu 16   I can see from docker stats it's using near 1600 % (full capacity of my server)  I think I've missed something but I don't know what Setting Zero values back to NULL How can you turn on or off the cheats after you make an offline server?My brother did something in settings but I can't find it. The Civilization series of games is famous for having a way to play by e-mail. This allows people to take a long time on their turn without holding up the other players, as you do in a real-time game. Yet, I can not find any method to play by e-mail in the game menus. Does it exist? If so, how do you do it? Why does switching to the tty give me a blank screen? After booting to the GUI in 12.04, I attempt to move to the virtual terminal (or shell, or tty) via Ctrl-Alt-F1 (F1 through F6), and the screen remains blank. I have tried all 6 tty instances and the results are the same. Ctrl-alt-F7 brings me back to the GUI without a problem. Any thoughts? I want to convert .mov to .mp4! I saved the video from iMovie but it is in .mov format! How do I convert it to .mp4?  I'm using a MacBook and I want to share it to my phone, but my phone can't open .mov format video. What is the best approach for solving the equations of the form      $p^x = x^q$ ; where $p$ and $q$ are some constants.   Basically, I wanted to solve $2^x = x^2$ to analyze algorithms with respective growth functions. Is it possible to log a program's network activity in Windows 7? Does anyone know of a program or way to log all network activity to a specific program on one's computer (program and/or service)?  I know I can see this "live" in Resource Monitor, but I'm wondering if anyone knows of a program or way to track and log all network activity to/from a specific process and/or service.  I'm finding a lot of "live"-type monitors, like Windows Resource Monitor, but nothing that can log.