Yang Yang (John)

Ph.D. Candidate in Fluid Mechanics. High-Performance Computing, Quantum Computing, Differential Geometry, and Mathematical Physics. Multilingual. Piano Player.

[Yang Yang (John) @CharlieYYang]

Some Interesting stuffs about Mathematics, Physics, and EECS etc. Bot accounts and influence campaigns are not welcome; all real people are welcome here.

[Yang Yang (John) @CharlieYYang]

@pascalkwanten Ein Stein Rose n Bridge

[Yang Yang (John) @CharlieYYang]

@fishPointer CP violation

[Yang Yang (John) @CharlieYYang]

@paysmaths Très bon !

[Yang Yang (John) @CharlieYYang]

@michaelmaths_ @Almost_Sure The Laurent Series of Gamma function at the Pole z=0 also isolates Euler-Mascheroni constant.

[Yang Yang (John) @CharlieYYang]

@pascalkwanten @sonukg4india Yes, includes negative integers and more widely extended to real and complex number. I don't know the answer, i just wondering that, maybe analytic continuation this solution.

[Yang Yang (John) @CharlieYYang]

@pascalkwanten @sonukg4india what if they are not non-negative integers.

[Yang Yang (John) @CharlieYYang]

@Math_files Borwein integral, post forgot the dx term in those integrals. Fourier analysis, convolution, and the theory of distributions.
1/3 + 1/5 + 1/7 + 1/9 + 1/11 + 1/13 \approx 0.955 < 1
0.955 + 1/15 \approx 1.021 > 1
then it happens at 1/15.

[Yang Yang (John) @CharlieYYang]

@VoidAsuka good abstractions under uncertainty and with missing pieces is exactly what is needed in mathematics discovery, yet some AI is beginning to be capable of it now.

[Yang Yang (John) @CharlieYYang]

@TheMathFlow how infinity packs into a finite space through repetition

[Yang Yang (John) @CharlieYYang]

@akarp from Kazan

[Yang Yang (John) @CharlieYYang]

Excellent search engine with sophisticated pattern-matching, planning & inference ability, unlimited (metaphorical) physical strength, and the range of a true generalist fused with specialist depth.

[Sebastien Bubeck @SebastienBubeck]

https://t.co/eHlpgdNDmw

[Yang Yang (John) @CharlieYYang]

@pascalkwanten Cantor's Paradise

[Yang Yang (John) @CharlieYYang]

@pascalkwanten Consistent or complete two choose one, unless you are literally God.

[Yang Yang (John) @CharlieYYang]

@Math_files Riemann zeta function with analytic continuation

[Quanta Magazine @QuantaMagazine]

At age 25, Kurt Gödel proved there can never be a mathematical “theory of everything.” In this week’s Qualia column, @nattyover asks experts how his ideas changed the course of humanity’s unending search for truth. https://t.co/UVDtVlYJkZ

[Yang Yang (John) @CharlieYYang]

@Math_files btw, Fibonacci Zeta Function even more fun in it.

[Yang Yang (John) @CharlieYYang]

@Math_files ∑ Fₙ xⁿ = x/(1−x−x²)

[Yang Yang (John) @CharlieYYang]

@miniapeur ℵ (aleph), ℶ (beth), ℷ (gimel)