Results 71 to 80 of about 509 (137)

Multi-hypothesis comparison of Farquhar and Collatz photosynthesis models reveals the unexpected influence of empirical assumptions at leaf and global scales. [PDF]

open access: yesGlob Chang Biol, 2021
Walker AP   +10 more
europepmc   +1 more source

Behavioral factors associated with SARS-CoV-2 infection. [PDF]

open access: yesBMJ Open, 2022
Bager MD   +14 more
europepmc   +1 more source

A Complete Proof of the Collatz Conjecture Using Generator Functions

open access: yes
We present a complete proof of the Collatz conjecture using a novel approach based on generator functions. By analyzing the inverse mappings of the Collatz function through carefully defined generator operations, we establish that all natural numbers must eventually reach 1 under the Collatz iteration.
openaire   +1 more source

A Local Lyapunov Function for the Collatz Map on n ≡ 6 (mod 8)

open access: yes
We prove an explicit formula for the number of consecutive odd steps of the Collatz map for integers n ≡ 6 (mod 8). For n = 8m + 6, the number of iterations of T(k) = (3k+1)/2 before reaching an even value is exactly ν₂(m+1), where ν₂ is the 2-adic valuation.
openaire   +3 more sources

Home - About - Disclaimer - Privacy