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Adjusted Scatter Plot for Integer Factorization Study
Advertisements The plot below is similar to the one I put in my previous post. However, the data points are, I think, a better set for exposing properties, since I am using the concept of Adjusted Ceiling Square as follows: Let m be an odd positive integer. Define the Adjusted Ceiling Square of m as…
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My Integer Factorization Study: Hahaha!!
Advertisements I am laughing at the sheer trickiness, almost by design, of the mathematical relationships I am uncovering in my number study, and the most recent one in particular. I shared yesterday the VERY SMOOT GRAPH, suggesting to me a parabola, charting out the plot of odd integer m vs. the difference between (m+1)/2 and…
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Integer Factorization: Update, 10/12/2022
Advertisements Lately, I’ve just been switching back and forth between a kind of macrovision and microvision in examining properties related to my factorization study. I’ve gone back to my table of large (but not very large) discrete semiprimes, and I’ve also looked at, and added information to, my table of the smallest discrete semiprimes, all…
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Integer Factorization: Reestablishing Some Basic Steps
Advertisements I wrote this in an effort to restate some recent basic observations plainly. I am confident that this is no newly-discovered set of mathematical truths, but I am enjoying making these derivations piece by piece and seeing what may follow from each successive one. Perhaps someday I will end up somewhere new. Right now,…
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The Evil(s) of Religion
Advertisements A friend of mine, who was a professor and director of plays in which I participated at the college I attended in the 1970s, posted on Facebook a black-and-white photograph of a happy woman in attractive attire cutting a birthday cake slice for herself. This woman lived, just a couple of years before the…
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Mathematical Explorations: Maximally Composite
Advertisements It’s time for some fun and games with some square-free “maximally composite” odd numbers and all their representations as the difference of perfect squares. It’s kind of like following a growing pristine wave with patterns I didn’t expect to encounter, until it smashes into foam and chaos against a rocky shore.
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Practice: What Makes It Perfect?
Advertisements DISCLAIMER: In what follows, I can tell that my Christian religious background heavily flavors the material and my perspective expressed therein. I have tried to make the focus more general, to turn it into a subject from which different followers of religious or spiritual traditions can benefit. But again, my thoughts are shaped by…
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Systemic Privilege and Impostor Syndrome: A Weird Balance in My Life
Advertisements I am a White Male Heterosexual Cisgender Christian. This means a lot in American society. I am of the political view – and I recognize there are disagreeing ones – that that means I have five tickets punched in terms of systemic privilege in the Land of the Free. Life has been easier on…