@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 <[email protected]> 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 <[email protected]> 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 [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/eef82641-d965-4626-b6ab-656e8f401055n%40googlegroups.com.
