Recent content by BWV

I find graham’s number more interesting as you can mentally go in a sequence from comprehensibly large numbers then get to a point, somewhere between 3^^^3 and 3^^^^3 (using ^ for Knuth up arrows) where your mind stops comprehending. Also, as a power of 3, Grahams number is more practically...

Was asking Gemini trying to understand the relationship between physical and informational entropy - and they are closely related? So if ##Ω≈e^{10^{122}}## is the number of microstates of the universe it is also the number of bits required to encode a particular state? so the storing all the...

So if you printed it in 10 point font on typical printer paper (3000 zeros per page) the stack would be ~10^97 light years high. But per above, the number of atoms in the ink would exceed the number in the entire universe

10^120, assuming that 10% of the digits in exp[10^122]~10^(10^121) are zeros ;)

The number of microstates of the universe is the largest number with physical meaning? ##S_{univ} = \frac{k_B c^3 A}{4 G \hbar} \approx 10^{122} k_B## So the number of microstates is ##Ω≈e^{10^{122}}##

One wing of the hotel a holds a Graham’s number of copies of the library, a single volume in each room of the wing placed beside Gideon’s Bible

It’s the larger number - on the order of 10^1,000,000 (##25^{1,312,000}## to be exact) (The story is about a library that contains all possible 410-page books with a character set of 25 characters (22 letters, spaces, periods, and commas), with 80 lines per book and 40 characters per line)

there are around 10^10^6 books in the library

More generally, multiple late 13th century eruptions are thought responsible for the end of the Medieval warm period and beginning of the little ice age. The widespread famine from 1315-22 made populations more vulnerable to the plague when it arrived...

You can always call out the fire department for an emergency fast defrost

Can always buy a fresh turkey

Spatchcock it, cooks much faster and uniformly crisps the skin

Here is a link to a podcast from last summer with more background info

Harry used a 43 tone scale for his custom built instruments here