
My Mathematical Study: A Brief Revelation/Realization
Advertisements When m is the product of two odd primes p and q, with p < q, and m is also equal to s^2 – r where s is the integer ceiling of the square root of m, the polynomial x^2 + n*x – (r + s*n) for the positive integer n that allows it…

My Mathematical Study: The Current Integer Factorization Tree Up Which I’m Barking
Advertisements Let m = p * q denote the positive integer that is the product of prime numbers p and q. Determine s as the integer ceiling of the square root of m. If s is a perfect square, then p = q = s. Otherwise, perform the following steps: Determine r = s^2 –…

My Number Study: A Short Perl Script for Integer Factorization
Advertisements This is no great revelation post, merely a progress report. See the script below, which is an automation of the procedure I am using and analyzing so far. It’s not nearly the quickest – I expect extreme slowness for anything remotely near the RSA challenge number! – but it’s a starting point which I…

The Golden Rule, T.M. Scanlon, and a Rational Basis for How to Be Good
Advertisements The Golden Rule has, alas, become a cliche in human society. But it truly is Golden in its nature, and in its applicability. I think this is so in the way that it harmonizes with what I’ve come to realize is a truly ingenious rational basis for a sound Moral Philosophy: T. M. Scanlon’s…

And now … Something from My Old LiveJournal Blog
Advertisements There is a light of divinity that has occasionally been directly apprehended and somewhat abundantly realized by various human beings. Each of them perceived it, reacted to it, and sought to spread what he or she discovered about it (or seemed to have always known), in his or her own way. If there are…

[Image Post] The number study so far…
Advertisements I will periodically put updates to the above image here, so that the progress shown is more or less current. I updated it on Sat Apr 23 10:30 AM.

Copied From Facebook: My Painting Dream
Advertisements I had a remarkable dream last night, the kind I have only every so often and enjoy writing down and, yes, sharing. It was fairly realistic and was close enough to real life that it was just that much more immersive. I was as I am now, age and all, and I had somehow…

Hairy Math Stuff (my number study, April 2022)
Advertisements Let positive integer m = p*q where p, q are prime numbers and p is not equal to q. Let s be the smallest positive integer such that s^2 > m, and let r be the difference between them so that: m = s^2 – r. Consider x^2 – r to be a quadratic…

In Defense of “Unscientific” Thinking and In Challenge of a Probabilistic Universe
Advertisements Reality has surprises in store for Democrats, Republicans, Greens and Independents. It will baffle and astound atheists, agnostics, and devout fundamentalists of all faiths. Strangenesses of particular existence will lead males, females, blacks, whites, Asians, Latinos, Creole Haitian mulattoes, and even Irishmen to take what they thought they knew and cry in despair because…