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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…
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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 odd-integer modular-arithmetic version of the Sieve of Eratosthenes. Ya beautiful, Ceiling Squares, but ya basic. (With apologies for cultural lingo appropriation, however trendy.)
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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…
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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
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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…
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[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 = (c12-r)/(s-c1). This implies that s-c1…
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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
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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…
JCSBimp's Hexagonal Orthogonal
BEWARE: There Be Fearfful Symmetries Here!
