Special Numbers

[Guest]

FYI: 'Mathematicians, geeks celebrate rare palindrome day.'

https://apnews.com/37ed7073d6eef065a4c9f8bdbb2707a7.

Relevant Reference Link:

'Topics About Special Numbers',

http://www.math.wichita.edu/history/Topics/snumbers.html.

[Guest]

ZERO (0):

"The symbolic meaning of number ZERO alludes to:

*Mystery
*Nothingness
*Infinity
*Potential
*Possibility
*Eternity
*Reflection
*Void
*Totality
*Rebirth" -- Avia, https://www.symbolic-meanings.com/2007/11/05/spiritual-meaning-of-number-zero/.

Furthermore, we could add balance, neutrality, peace, purity, invariance, supersymmetry, enlightenment, wisdom, unity, harmony, etc. to the above list on the attributes of zero or the meanings of zero.

[Guest]

Yes! ZERO also indicates OPTIMIZATION! (BEST RESULTS!)

Yes! ZERO also indicates the ULTIMATE TRUTH!

Please ponder Zero and the Riemann Hypothesis!

[Guest]

If zero is "noting", then why is it defined as a whole number?
If zero is void, then why are exponents of zero producing 1?
"Nothing" by definition does not exist. Zero clearly exist.

Zero is not magical, it is empty space. Empty space is a thing. It can be filled and it can be measured.

It is not zero that is infinite. It is the approach to zero that is infinite. Infinite is a value, abstract or otherwise. Zero is the absence of value, abstract or otherwise.

[Guest]

Wow! "[tex]\pi = 3.14159...[/tex] written as a continued fraction. That expression is simple and beautiful!"

FYI: 'An inmate's love for math leads to new discoveries',

https://phys.org/news/2020-05-inmate-math-discoveries.html.

[Guest]

Wow! "[tex]\pi = 3.14159...[/tex] written as a continued fraction. That expression is simple and beautiful!"

FYI: 'An inmate's love for math leads to new discoveries',

https://phys.org/news/2020-05-inmate-math-discoveries.html.

FYI: 'Linear fractional transformations and nonlinear leaping convergents of some continued fractions',

https://link.springer.com/content/pdf/10.1007/s40993-020-0187-5.pdf.

[Guest]

Hmm. Some Food for Thought: The Fine-Structure Constant, [tex]\alpha \approx \frac{1}{137}[/tex].

"There is a most profound and beautiful question associated with the observed coupling constant, e – the amplitude for a real electron to emit or absorb a real photon. It is a simple number that has been experimentally determined to be close to 0.08542455. (My physicist friends won't recognize this number, because they like to remember it as the inverse of its square: about 137.03597 with about an uncertainty of about 2 in the last decimal place. It has been a mystery ever since it was discovered more than fifty years ago, and all good theoretical physicists put this number up on their wall and worry about it.) Immediately you would like to know where this number for a coupling comes from: is it related to pi or perhaps to the base of natural logarithms? Nobody knows. It's one of the greatest damn mysteries of physics: a magic number that comes to us with no understanding by man. You might say the "hand of God" wrote that number, and "we don't know how He pushed his pencil." We know what kind of a dance to do experimentally to measure this number very accurately, but we don't know what kind of dance to do on the computer to make this number come out, without putting it in secretly!" — Richard P. Feynman.

Source Link:

'Fine-structure constant',

https://en.wikipedia.org/wiki/Fine-structure_constant.

[Guest]

FYI: 'Swiss researchers calculate pi to new record of 62.8 trillion (wow!) figures.
Supercomputer calculation took 108 days and nine hours – 3.5 times as fast as previous record.'

https://www.theguardian.com/science/2021/aug/16/swiss-researchers-calculate-pi-to-new-record-of-628tn-figures.

Go [tex]\pi[/tex]!

[Guest]

What about the numbers, 14, 52, 78, 133, and 248 that represent dimensions of the five "exceptional Lie groups"?

[Guest]

FYI: What is Pi Day? The story of the circle...