Category: Uncategorized
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Integer Factorization: An Elementary but Powerful Rule
Advertisements It only takes a little bit of working with polynomials having integer coefficients to realize an important result that has seen wide publication in mathematical literature: If f(x) is a polynomial in x with integer coefficients, and the prime p divides f(x) for a particular value of x, then p will also divide f(x+np)…
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Integer Factorization: Some Ascent Chaining Examples
Advertisements This is a lengthy and more informative follow-up to last night’s post which gave some informal definitions and background to what I am about to discuss. You might need that background, since I’m mostly plunging right into things here. I verified in further research last night that Ascent Chaining does indeed show consistent and…
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Integer Factorization: This Morning’s Delivery
Advertisements It is a rainy Saturday of Holy Week, 2023, smack-dab between Good Friday and Easter/Resurrection Sunday on the religious calendar which I personally celebrate. It is also a year, give or take a week, since inspiration started coming to me in the early morning hours, usually after our chugs woke me up to have…
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Integer Factorization: An Informal Report
Advertisements Here is an informal article, in PDF, about the work I’ve done lately, including some of the new revelations about which I’ve blogged.
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Integer Factorization: It’s Getting Thrilling (Again)
Advertisements I am so excited. Yes, I’m struggling mightily to contain that excitement with a large dose of realism – nah, still VERY excited about this. I’m in the midst of programming a new factorization algorithm and Perl script, jumpfactor.pl. I’ve finished writing and initially testing the code for calculating some initial values, and will,…
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Being Anti-Corporate-Personhood Does Not Make Me Anti-Corporate.
Advertisements I imagine it does, however, cause me to have opinions that exploitive corporations’ owners and beneficiaries (among pastors, pundits, and politicians) might find . . . distasteful. I happily use Google Analytics and other ways to publicize – and even monetize – this little personal blog I’m sharing. Inasmuch as Google or any Big…
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Thankfulness for the Blessed Inner Fire
Advertisements Yesterday, I let some typically silly worries and unnecessary negative thought (aggravation at communication glitches from sources both personal and technological) “cloud my sunny mood” so to speak (h/t Dan Hicks), and make me worry that the inspiration that has greeted me daily in the early morning might actually wane as my life gets…
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Link to Tweets: On Differences/Gaps Between One’s Apparent and Actual Moral Philosophies
Advertisements Before I dive once again into matters mathematical (and I am just about to do so), here is a link to a threaded-together version of a Twitter thread I shared this morning.
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The Presented Order of the Book of Thoth, and the Finite Field GF(79) – Part II, The Story
Advertisements This story traverses the entire Book of Thoth – all 78 cards – according to an order generated by the primitive element 3 of GF(79). That element corresponds, through the assignment process I described in Part I posted yesterday, to Atu (Trump) II: The High Priestess. I have numbered the “verses” of the story…