
The Latest Math Idea to Get Me Up Early
Advertisements All possible factorizations into two factors of the positive integers correspond to all integer points on the family of curves y=m/x, for m an element of the infinite set {1,2,3,4,5,…}, and we can restrict our attention, thanks to mirror symmetry, to the points where x and y are greater than zero (symmetric by Cartesian…

Mathypiphanies: One in a Continuing Series (I Just Started)
Advertisements It now occurs to me that the Ceiling Squares are little more than square chunks cut out of the fabric of an oddinteger modulararithmetic version of the Sieve of Eratosthenes. Ya beautiful, Ceiling Squares, but ya basic. (With apologies for cultural lingo appropriation, however trendy.)

Another problem with white supremacists — Sam Smith’s Essays
Advertisements Sam Smith – One thing that fascinates me is that white supremacists, who put people like themselves at the top of the social and political chart, are universally those I don’t want anything to do with. They are ignorant, dishonest and cruel. I wouldn’t want a son hanging out with Tucker Carlson or a…

Ceiling Squares: Final Paper Is Up, on Google Docs
Advertisements Below is a link to the more or less official description of a very, very intense, enlightening, and enjoyable mathematical study I have just completed, and it includes software for those who might wish to run Perl routines to illustrate some of the ideas I explored. https://docs.google.com/document/d/1or9NQfCKM11MhOoZ_nXe0G8uuVLIyeUpPalve9yuveg/edit?usp=sharing

Ceiling Squares: My New Mathematical Study
Advertisements Welcome to my new mathematical study! My work on integer factorization led, not to any new discoveries in number theory, but to a way of organizing the odd positive integers that lends itself to visualization and can provide insight: the Ceiling Square. Simply put – or, at least, as compactly phrased as I can…

[Archived Post] My Integer Factorization Study: Current Idea Showing Potential
Advertisements EDIT: This was an article I wrote a while ago, that still now seems to be in DRAFT status. I will “publish” it now so that it is on the study record. Right now, what attracts my attention is the fact I figured out on paper that n = (c12r)/(sc1). This implies that sc1…

My Integer Factorization Study: Final Report (Google Docs)
Advertisements Here is the link to my Google Docs summary of the mathematical study I have just completed, including all the information in my previous blog post, and more. https://docs.google.com/document/d/1OP7B7STeHaVhFaRU_DfjVCx2QUspB4jvPFUAlyhh8GI/edit?usp=sharing

My Integer Factorization Study: Maybe No New Discoveries, but a Fairly Good Program (I Think)
Advertisements After extensive study, and a great many discoveries which seemed exciting to me but that after investigation boiled down to properties of established concepts, I have been able to construct an algorithm that uses the difference between m and the smallest greater perfect square s to search for appropriate values of c and thus…