<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Orbits Theory. A Complete Proof of the Collatz Conjecture"^^ . "In this work a complete proof of the Collatz Conjecture is presented. The solution assumes as hypothesis that Collatz's Conjecture is a consequence. We found that every natural number n_i∈N can be calculated starting from 1, using the function n_i=((2^(i-Ω)-C))⁄3^Ω , where: i≥0 represents the number of steps (operations of multiplications by two subtractions of one and divisions by three) needed to get from 1 to n_i, Ω≥0 represents the number of multiplications by three required and 0≤C≤2^(i-⌊i/3⌋ )-2^((i mod 3)) 3^⌊i/3⌋ is an accumulative constant that takes into account the order in which the operations of multiplication and division have been performed. Reversing the inversion, we have obtained the function: ((3^Ω n_i+C))⁄2^(i-Ω)=1 that proves that Collatz Conjecture it’s a consequence of the above and also proofs that Collatz Conjecture it’s true since ((3^Ω n_i+C))⁄2^(i-Ω) is the recursive form of the Collatz’s function."^^ . "2021-12" . . . . "Cambridge Open Engage"^^ . . . . . . . . "Jorge"^^ . "Crespo Álvarez"^^ . "Jorge Crespo Álvarez"^^ . . . . . . "Orbits Theory. A Complete Proof of the Collatz Conjecture (Texto)"^^ . . . . . "orbits-theory-a-complete-proof-of-the-collatz-conjecture.pdf"^^ . . . "Orbits Theory. A Complete Proof of the Collatz Conjecture (Otro)"^^ . . . . . . "indexcodes.txt"^^ . . . "Orbits Theory. A Complete Proof of the Collatz Conjecture (Otro)"^^ . . . . . . "lightbox.jpg"^^ . . . "Orbits Theory. A Complete Proof of the Collatz Conjecture (Otro)"^^ . . . . . . "preview.jpg"^^ . . . "Orbits Theory. A Complete Proof of the Collatz Conjecture (Otro)"^^ . . . . . . "medium.jpg"^^ . . . "Orbits Theory. A Complete Proof of the Collatz Conjecture (Otro)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #614 \n\nOrbits Theory. A Complete Proof of the Collatz Conjecture\n\n" . "text/html" . . . "Engineering"@en . "Ingeniería"@es . .