Math

Math is the poetry of the universe

My favourite number

(one of)

H_x= 1+\frac{1}{2}+\frac{1}{3}+\cdots+\frac{1}{x}
L_x = \int_0^x \frac{1}{x}
H_{\infty} - L_{\infty} = ?
\infty - \infty =
= 0.577215...
\gamma =
0.57721566490153286060651209008240243104215933593992359880576723488486772677766467093694706329174674951463144724980708248096050401448654283622417399764492353625350033374293733773767394279259525824709491600873520394816567085323315177661152862119950150798479374508570574002992135478614669402960432542151905877553526733139925401296742051375413954911168510280798423487758720503843109399736137255306088933126760017247953783675927135157722610273492913940798430103417771778088154957066107501016191663340152278935867965497252036212879226555953669628176388792726801324310104765059637039473949576389065729679296010090151251959509222435014093498712282479497471956469763185066761290638110518241974448678363808617494551698927923018773910729457815543160050021828440960537724342032854783670151773943987003023703395183286900015581939880427074115422278197165230110735658339673487176504919418123000406546931429992977795693031005030...
\approx \sqrt \frac{1}{3}

Euler-Mascheroni Constant

Shows up everywhere

We know nothing about it

but

  • Average number of divisors of numbers 1 to n.
     
  • Lower bound of the prime gap
     
  • Regularization of Feynman diagrams in Quantum Field Theory
     
  • The answer to the coupon collector's problem
     
  • An upper bound on Shannon entropy in quantum information theory
  • Is it even rational?!

(can be expressed as a fraction)

  • Is it transcendental?

(unique infinite digits... kinda)

  • Is it algebriac?

(can be described by integers)

WE HAVE

NO IDEA

  • Why is it connected to all these things?

THANKS

Made with Slides.com