General Mathematics

2012 Submissions

[2] viXra:2012.0198 [pdf] submitted on 2020-12-26 23:06:57

Abridgment of Cycles in GCS

Authors: Pierre Lamothe
Comments: 13 Pages.

A shortened English version of new concepts appeared this year in three French papers about cycles in Generalized Collatz Subsequences (GCS) and few new developments. Reduced and compact subseqs – Shape vector and shape rank – Triplet operator as a powerful tool to compose linear functions – Monoid of transition functions between elements of compact sequences – Diophantine equation pmx - rdy - q = 0 related to each monoid element – Shape class as general solution of this diophantine equation – Specific cyclic solution – Universal rotation function on q parameters – Condition for tranfer cyclic property to numbers – Cardinality of equation classes – Cycle occurence probability in classes – Layers of linked algebraic cycles.


Category: General Mathematics

[1] viXra:2012.0026 [pdf] submitted on 2020-12-06 12:31:10

Too Many Trailing Zeros?

Authors: Ron Larham
Comments: 5 Pages. Submitted to, and rejected by Mathematical Gazette, partially for being too chatty.

In this paper I discuss Question 8 from the Chalkdust 2019 Christmas card. In particular I investigate the ratio of the number of trailing zeros of a factorial to its number of digits.
Category: General Mathematics