Matches in SemOpenAlex for { <https://semopenalex.org/work/W3203286788> ?p ?o ?g. }
Showing items 1 to 56 of
56
with 100 items per page.
- W3203286788 abstract "Abstract This paper redefines Collatz conjecture, and proposes strong Collatz conjecture, the strong Collatz conjecture is a sufficient condition for the Collatz conjecture. Based on the computer data structure–tree, we construct the non-negative integer inheritance decimal tree. The nodes on the decimal tree correspond to non-negative integers. We further define the Collatz-leaf node (corresponding to the Collatz-leaf integer) on the decimal tree. The Collatz-leaf nodes satisfy strong Collatz conjecture. Derivation through mathematics, we prove that the Collatz-leaf node (Collatz-leaf integer) has the characteristics of inheritance. With computer large numbers and big data calculation, we conclude that all nodes at depth 800 are Collatz-leaf nodes. So we prove that strong Collatz conjecture is true, the Collatz conjecture must also be true. And for any positive integer N greater than 1, the minimum number of Collatz transform times from N to 1 is log2 N, the maximum number of Collatz transform times is 800 *（N-1）. The non-negative integer inheritance decimal tree proposed and constructed in this paper also can be used for the proof of other mathematical problems." @default.
- W3203286788 created "2021-10-11" @default.
- W3203286788 creator A5025957221 @default.
- W3203286788 date "2020-05-22" @default.
- W3203286788 modified "2023-09-25" @default.
- W3203286788 title "The Proof of Collatz Conjecture" @default.
- W3203286788 cites W2076882011 @default.
- W3203286788 cites W2110835021 @default.
- W3203286788 cites W2580812699 @default.
- W3203286788 doi "https://doi.org/10.21203/rs.3.rs-30443/v1" @default.
- W3203286788 hasPublicationYear "2020" @default.
- W3203286788 type Work @default.
- W3203286788 sameAs 3203286788 @default.
- W3203286788 citedByCount "0" @default.
- W3203286788 crossrefType "posted-content" @default.
- W3203286788 hasAuthorship W3203286788A5025957221 @default.
- W3203286788 hasBestOaLocation W32032867881 @default.
- W3203286788 hasConcept C113174947 @default.
- W3203286788 hasConcept C114614502 @default.
- W3203286788 hasConcept C118615104 @default.
- W3203286788 hasConcept C128814272 @default.
- W3203286788 hasConcept C199360897 @default.
- W3203286788 hasConcept C2780990831 @default.
- W3203286788 hasConcept C33923547 @default.
- W3203286788 hasConcept C41008148 @default.
- W3203286788 hasConcept C65045869 @default.
- W3203286788 hasConcept C94375191 @default.
- W3203286788 hasConcept C97137487 @default.
- W3203286788 hasConceptScore W3203286788C113174947 @default.
- W3203286788 hasConceptScore W3203286788C114614502 @default.
- W3203286788 hasConceptScore W3203286788C118615104 @default.
- W3203286788 hasConceptScore W3203286788C128814272 @default.
- W3203286788 hasConceptScore W3203286788C199360897 @default.
- W3203286788 hasConceptScore W3203286788C2780990831 @default.
- W3203286788 hasConceptScore W3203286788C33923547 @default.
- W3203286788 hasConceptScore W3203286788C41008148 @default.
- W3203286788 hasConceptScore W3203286788C65045869 @default.
- W3203286788 hasConceptScore W3203286788C94375191 @default.
- W3203286788 hasConceptScore W3203286788C97137487 @default.
- W3203286788 hasLocation W32032867881 @default.
- W3203286788 hasOpenAccess W3203286788 @default.
- W3203286788 hasPrimaryLocation W32032867881 @default.
- W3203286788 hasRelatedWork W1989316102 @default.
- W3203286788 hasRelatedWork W2085096159 @default.
- W3203286788 hasRelatedWork W2766104912 @default.
- W3203286788 hasRelatedWork W3217432559 @default.
- W3203286788 hasRelatedWork W4212808623 @default.
- W3203286788 hasRelatedWork W4298198176 @default.
- W3203286788 hasRelatedWork W4300694038 @default.
- W3203286788 hasRelatedWork W4307481214 @default.
- W3203286788 hasRelatedWork W3040647679 @default.
- W3203286788 hasRelatedWork W4286895992 @default.
- W3203286788 isParatext "false" @default.
- W3203286788 isRetracted "false" @default.
- W3203286788 magId "3203286788" @default.
- W3203286788 workType "article" @default.