Since the Earth is revolving around the Sun, therefore it is accelerating.  This implies that any stationary charge on earth is also accelerating. However, I have never heard anyone saying anything about that. Why is this so? Do charges on Earth not emit electromagnetic radiations?
The  gives the recoil force, $\mathbf{F_{rad}}$, back on a charged particle $q$ when it emits electromagnetic radiation. It is given by:  $$\mathbf{F_{rad}} = \frac{q^2}{6\pi \epsilon_0 c^3}\mathbf{\dot{a}},$$  where $\mathbf{\dot{a}}$ is the rate of change of acceleration.  If a particle has a constant acceleration, $\mathbf{\dot{a}}=0$, then there is no reaction force acting on it. Therefore the particle does not lose energy.   Does this mean that a constantly accelerating charged particle does not emit electromagnetic radiation?
Latex create a second keywordstyle using listing doesn't work Proving the convergence of $\sum_{n\geq 2}\log\left(1-\frac{1}{n^2}\right)$ How to prove that the series $$\sum_{n\geq 2}\log\left(1-\frac{1}{n^2}\right)$$ is convergent? What about finding the sum?  My attempt: $$\ln (1-1/n^2)= \ln(n-1) -2\ln n + \ln(n+1)$$ The term in the log is decreasing so I get the feeling that the series converges but confused how to prove this and also find the sum. Let the ring of fractions be denoted as $S^{-1}R$.       Proposition (from Robert Ash's textbook "Basic Abstract Algebra")      Define $f: R \rightarrow S^{-1}R$ by $f(a) = a/1$. Then f is a ring homomorphism. If S has no zero divisors then f is a monomorphism, and we say that R can be embedded in $S^{-1}R$. In particular:      (i) A commutative ring R cna be embedded in its complete (or *full) ring of fractions ($S^{-1}R$, where S consists of all non-divisors of zero in R).       (ii) An integral domain can be embedded in its quotient field.    Why does the proposition say "If S has no zero divisors..."? If S really had zero divisors, then this wouldn't even be properly defined, right? Because we would have a/0 for some a in R. What does string theory predict for the singularity inside a black hole? The usual explanation for what's going on inside a black hole goes something like "General Relativity predicts a singularity with infinite curvature, but when matters gets so tightly compressed we should expect quantum effects to become important, so the singularity will probably be blurred". Authors then proceed to say that we need a quantum theory of gravity to answer such things, and quickly abandon the subject.  Well, while we don't have an experimentally confirmed quantum theory of gravity, we do have a speculative one, string theory. What does it say about singularities? Are they smeared out like the books say? Do they remain points (or rings for a rotating black hole) with infinite curvature and density? Do we not know? Why a backslash displays as "W"+strikethrough in Netbeans? I'm facing a strange problem with Netbeans. In the editor, when I type a backslash(), I see a W with a strikethrough (as shown in the attached image).  So the c:\\abc is displaying as:    But, when I copy and paste that string into notepad, it gets pasted normally (i.e. c:\\abc).  Has anyone faced this problem before? How to fix it? Clicking on  doesn't connect me with the meta S.Ex.SE site.  EDIT: For some entry points, . Observation courtesy Gilles.  I consider it a pity that the devs have not paid attention to this issue nor have indicated that they noted the problem. While HTTPS is not yet official on this network, I refrain from using unencrypted connections. I can't participate in metas, oh well.  EDIT #2 (2015-11-07) - with the switch to CloudFlare SSL the problem looks finally resolved.  EDIT #3 (2015-11-17) - still getting 403 Forbidden from CloudFlare. D'rats!..  EDIT #4 (2016-01-11) - We're still there. It's 2016 already... Starting a bounty. I would like to create a batch file, that will add registry key, not manually, but full automaticly by .BAT file.  goes about adding everything but not the key.  shows how to add everything, and how to add key manually, but it requires user interference, which I am trying to avoid.  Is there possibility to add KEY (non REG_*) to "folder?" in registry by one simple batch file? When I save a file (e.g. Images) to a folder which already exist there, Chrome adds a (N) where N is first available number. This causes I have multiple copies of same file! How can I disable Chrome's auto file renaming?   Thanks Why is Android File Transfer necessary? Apparently newer versions of Android require the use of Android File Transfer. I have an older machine that doesn't require this, and just mounts as a USB mass storage device. I can't see a technical reason why Android File Transfer is now required when it used not to be.  What changed in order to make this necessary? Why is it necessary? I am new to Salesforce and hence a lot of silly questions. What is the rational behind defining future methods as Static? I mean has these methods been not static what harm would have they caused? Mathematical Prerequisites for QFT Product and Box Topologies I am having a hard time understanding why the box topology is finer the the product topology. Of course I know that with finite product, the two are the same. With product topology, the basis elements are defined so that the $U_{\alpha}=X_\alpha$ except for finitely many $\alpha$. So how can this topology be contained in the box topology which has only the product of the  $U_{\alpha}$ as basis. I think it should have been the other way round. Am I missing something here? I need help with this because I have been confused over it for a long time. How exactly using VB6 can I can call any Windows shell command as you would from the command-line?  For example, something as trivial as:  echo foo What software is used to generate the reputation graphs on Stack Exchange? I'm particularly interested in the zooming functionality which is done very well. Were these graphs generated using off the shelf software or were they coded from scratch? Do numbers exist independently from observers? Ubuntu 18.04 - Dell XPS13 9370 no longer suspends on lid close This was working perfectly on 17.10 but after upgrading to 18.04 yesterday, when the lid is closed the screen turns off but doesn't suspend properly.  I travel around a lot and immediately noticed the heat (and battery draining) when taking it out of the travel case.  I've tried uncommenting these lines in /etc/systemd/logind.conf  HandleLidSwitch=suspend HandleLidSwitchDocked=suspend   and restarted but didn't make any difference. Has Marvel commented on the extra Infinity Gauntlet? Way back in Thor, there was an Easter Egg Infinity Gauntlet in Odin's vault.  They even  that year to show it off.  Presently in the Marvel Cinematic Universe, they're clearly building to an Infinity Gauntlet story, and they've shown several Infinity Stones out in the universe.  The Infinity Stones are clearly not all sitting in Odin's vault, on a gauntlet.  Has Marvel commented on this issue at all in interviews?  Has the gauntlet been retconned into being some other gauntlet, or some other piece of the Infinity Gauntlet puzzle? How to output HTML from JSP  block? I just started learning JSP technology, and came across a wall.  How do you output HTML from a method in &lt;%! ... %> JSP declaration block?  This doesn't work:  &lt;%!  void someOutput() {     out.println("Some Output"); } %&gt; ... &lt;% someOutput(); %&gt;   Server says there's no &ldquo;out&rdquo;.  U: I do know how to rewrite code with this method returning a string, but is there a way to do this inside &lt;%! void () {  } %> ? Though it may be non-optimal, it's still interesting. When no model comparison, should I use REML vs ML? I'm running LMM, and I will make no comparison of models. Could I ask which one should I use between REML and ML? How can I programmatically delete a line from a Word document using c#?