∅
https://www.physics.ox.ac.uk/news/number-theory-and-evolutionary-genetics
It is precisely this question that the team has answered. They proved that the maximum robustness is proportional to the logarithm of the fraction of all possible sequences that map to a phenotype, with a correction which is given by the sums of digits function sk(n), defined as the sum of the digits of a natural number n in base k. For example, for n = 123 in base 10, the digit sum would be s10(123) = 1 + 2 + 3 = 6.
*insert random joke about gematria*
🤔2🔥1
Forwarded from Yevhenii Archating
Кому математичну модель макарон
https://www.researchgate.net/publication/349158902_The_Factory_Must_Grow_Automation_in_Factorio
https://www.researchgate.net/publication/349158902_The_Factory_Must_Grow_Automation_in_Factorio
Forwarded from Axis of Ordinary
"It's like a radioactive tracer shot through global academia, briefly revealing a lower bound on how much garbage "research" is out there."
— gwern
https://twitter.com/gwern/status/1689450163469717509
— gwern
https://twitter.com/gwern/status/1689450163469717509
⚡2
Forwarded from Цуберок 🇺🇦 #УкрТґ
YouTube
What is...Padé approximation?
Goal.
I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much.
This time.
What is...Padé approximation? Or: Better than Taylor.
Disclaimer.
Nobody is perfect, and I might have said something…
I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much.
This time.
What is...Padé approximation? Or: Better than Taylor.
Disclaimer.
Nobody is perfect, and I might have said something…
Forwarded from Just links
Forwarded from Цуберок 🇺🇦 #УкрТґ
Unraveling complex systems: The backtracking dynamical cavity method
https://phys.org/news/2023-08-unraveling-complex-backtracking-dynamical-cavity.html
https://phys.org/news/2023-08-unraveling-complex-backtracking-dynamical-cavity.html
phys.org
Unraveling complex systems: The backtracking dynamical cavity method
In physics, a "disordered system" refers to a physical system whose components—e.g., its atoms—are not organized in any discernible way. Like a drawer full of random socks, a disordered system lacks ...