@Alan Maybe you should read more books. On Friday 20 September 2024 at 05:55:02 UTC+3 Alan Grayson wrote:
> On Thursday, September 19, 2024 at 6:14:53 AM UTC-6 Cosmin Visan wrote: > > Universe doesn't exist. "Universe" is just an idea in consciousness. The > Big Bang never happened in any past, since past doesn't exist. Only the > eternal present moment exist. And in the eternal present moment, Big Bang > happens at all times, since each moment is a moment of creation in which > the world is being imagined into existence by consciousness inside itself. > > > *Your ideas are essentially profound, but not accessible to physicists > primarily because of their subliminal **vanity. On the other hand, your > ideas are totally useless. They predict nothing and offer us nothing to > discover and do. AG * > > > On Thursday 19 September 2024 at 10:14:01 UTC+3 Alan Grayson wrote: > > On Wednesday, September 18, 2024 at 7:23:38 PM UTC-6 Alan Grayson wrote: > > On Wednesday, September 18, 2024 at 7:02:12 PM UTC-6 Alan Grayson wrote: > > On Wednesday, September 18, 2024 at 6:50:53 PM UTC-6 Brent Meeker wrote: > > > > > On 9/18/2024 5:19 AM, John Clark wrote: > > > > On Wed, Sep 18, 2024 at 8:12 AM Alan Grayson <agrays...@gmail.com> wrote: > > > > On Wednesday, September 18, 2024 at 5:40:42 AM UTC-6 John Clark wrote: > > On Wed, Sep 18, 2024 at 1:16 AM Alan Grayson <agrays...@gmail.com> wrote: > > *I'll get back to you on this. I was thinking, as x increases positively > or negatively, the y values (angles) repeat multiple times, making the > function many-to-one. In this case, we're mapping all the real numbers, to > a subset of the y-axis. Am I mistaken? AG * > > > *Arctan(1) = the angle whose tangent = 1. Isn't this angle 90 deg or > pi/2? So your plot seems wrong, but it's what is on the Internet. AG * > > > *That's wrong. Arctan(1) = pi/4, which is what the plot indicates. But I > still think the plot keeps repeating as x increases or decreases. AG* > > [image: image.png] > > > *1) **The range of the Arctangent function is the interval (-π/2,π/2) and > its range is all the real numbers.* > > * 2) By dividing by π, the range scales to (-1/2, 1/2).* > > * 3) Adding 1/2 shifts the range to (0,1) * > > *4) Thus for every real number x there is a unique number y between zero > and one that corresponds to it, and that number is Y=1/2 + 1/π Arctan(x) . > As I said before, the domain is all the real numbers and the range is (0,1)* > > > > *> Yes, but initially you were seeking a 1-1 function, but this one is > many-to-one. AG * > > FOR DARWIN'S SAKE! I GIVE UP! > > > Could'a told ya. > > Brent > > > *Why are you so inclined to join the asshole club? I just made an error. > Are you immune from that? AG* > > > *I conjectured that Inflation caused the unobservable universe to come > into existence, an original thought you ignore, but your inclination is to > be petty. Too many physicists are revealed to be a'holes and I see no cure > for that. AG* > > > *I admit it's puzzling. Whereas tangent 0 degrees = tangent 360 degrees = > 0, and arctan 0 degrees = 0, I thought arctan 360 degrees is also 0, but it > apparently isn't. This is how I concluded y = arctan(x) is many-to-one. AG* > > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/eef82641-d965-4626-b6ab-656e8f401055n%40googlegroups.com.
