EricJ Posted March 16, 2022 Report Share Posted March 16, 2022 41 minutes ago, aviatoreb said: However, since the rational numbers are dense in the set of real numbers that equals the set of rationals union the set of irrationals, then it follows that all approximately rational people in fact include all the irrational people. QED! 1 Quote Link to comment Share on other sites More sharing options...
DonMuncy Posted March 16, 2022 Report Share Posted March 16, 2022 You guys are making my head hurt. 1 Quote Link to comment Share on other sites More sharing options...
aviatoreb Posted March 16, 2022 Author Report Share Posted March 16, 2022 30 minutes ago, DonMuncy said: You guys are making my head hurt. The 1897 Pi Bill tried to simplify Pi by legislative action to set Pi=3.2. Which would be simpler. But thanks to a testimonial by a math prof from Purdue… anyway pi day is simpler in Indiana! Quote Link to comment Share on other sites More sharing options...
aviatoreb Posted March 16, 2022 Author Report Share Posted March 16, 2022 I said Pi is my second favorite number. No one is going to ask me what is my favorite number? Quote Link to comment Share on other sites More sharing options...
Fly Boomer Posted March 16, 2022 Report Share Posted March 16, 2022 e 1 Quote Link to comment Share on other sites More sharing options...
EricJ Posted March 17, 2022 Report Share Posted March 17, 2022 37 minutes ago, Fly Boomer said: e Was gonna be my guess, too. Or maybe Planck's constant. 1 Quote Link to comment Share on other sites More sharing options...
aviatoreb Posted March 17, 2022 Author Report Share Posted March 17, 2022 All good. But my favorite is (1+sqrt(5)/2 =aproximately 1.618.... The golden mean. It has all kinds of lovely properties - it is intimately wrapped up with resonance - e.g. why we see gaps in say Saturns bands, or plasma confinement (KAM theory), it is the most diophantine number meaning difficult to estimate by fractions of small numerators and divisors. It has a continued fraction representation often written gamma gamma=1+1/(1+1/(1+1/(1+/...) a continued fraction (infinitely deep fraction. And the artists like it because the greeks said it was the most balanced lovely ratio to the human eye. Alas - you can't easily make a date of 1.62 And I decided against making that my tail number since a) it is less well known and b) I liked the pun of "pi plane" as if it is a biplane but with an irrational number of wings. 2 Quote Link to comment Share on other sites More sharing options...
carusoam Posted March 17, 2022 Report Share Posted March 17, 2022 3.14 X 2.718 = Pie All of the mathematically inclined spelling bee participants eat this up! irrational spelling humor only… Best regards, -a- 1 Quote Link to comment Share on other sites More sharing options...
Andy95W Posted March 17, 2022 Report Share Posted March 17, 2022 The Golden Mean... 3 Quote Link to comment Share on other sites More sharing options...
aviatoreb Posted March 17, 2022 Author Report Share Posted March 17, 2022 Here is where I first learned of the golden ratio - in kindergarten! And yes - it did make an important appearance in my PhD thesis which include elements of KAM theory and celestial mechanics. So you can say its run a long course in my life - and thus my favorite number - since it is also the most amazing magical number for the number of different amazing things it touches from pure mathematics, to physics, to art. What's not to love? As Donald Duck. 2 Quote Link to comment Share on other sites More sharing options...
Andy95W Posted March 17, 2022 Report Share Posted March 17, 2022 Erik, I’m embarrassed to admit that the Donald Duck video helped my understanding. If I ever meet you in person, you’ll have to explain gamma=1+1/(1+1/(1+1/(1+/...) Quote Link to comment Share on other sites More sharing options...
aviatoreb Posted March 17, 2022 Author Report Share Posted March 17, 2022 6 minutes ago, Andy95W said: Erik, I’m embarrassed to admit that the Donald Duck video helped my understanding. If I ever meet you in person, you’ll have to explain gamma=1+1/(1+1/(1+1/(1+/...) I will be happy to! But meanwhile - perhaps the standard keyboard ascii way of writing isn't good for conveying something simple, which is a limit of simple fractions all piled up as I include a screen clip below. And here is a link explaining it. https://www.theproblemsite.com/reference/mathematics/the-golden-ratio/continued-fraction Quote Link to comment Share on other sites More sharing options...
carusoam Posted March 18, 2022 Report Share Posted March 18, 2022 Ahhhhhh So Fibonacci-esque…. numbers, nature, and investing…. All in one…. Best regards, -a- Quote Link to comment Share on other sites More sharing options...
EricJ Posted March 18, 2022 Report Share Posted March 18, 2022 4 Quote Link to comment Share on other sites More sharing options...
Hank Posted March 18, 2022 Report Share Posted March 18, 2022 On 3/16/2022 at 10:55 PM, Andy95W said: The Golden Mean... And here are my Golden Mean dividers! 4 Quote Link to comment Share on other sites More sharing options...
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