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Dean Moore current projects

I keep busy with various projects, some tech, some non-tech. A few:

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- My doctoral thesis, here.
- Digested Ian Stewart’s book on Galois
Theory, a field of which I knew little. In general, a polynomial of degree five or higher with rational coefficients cannot be “solved,” that is, its zeros cannot be expressed by extracting roots, and/or performing algebra on rational numbers. There are many examples, but the polynomial
*p*(*x*), where*p*(*x*) =*x*^{5}-*x*- 1, and the polynomial*q*(*x*) = 3*x*^{7}- 46*x*^{3}+ 44*x*+2 (graph above) have no “solutions” via taking roots, performing algebra on rational numbers. Many can’t be solved but that doesn’t mean that plenty of 5^{th}-order polynomials*can*be solved, one example,*r*(*x*) =*x*^{5}- 1 can be factored, as*r*(*x*) = (*x*- 1)(*x*^{4 }+*x*^{3 }+*x*^{2 }+*x*+ 1), and 4^{th}-order polynomials like*s*(*x*) =*x*^{4 }*+**x*^{3 }*+**x*^{2}*+**x**+ 1**can*be “solved,” as can orders 3, 2, and 1. - Pieced through Joseph Liouville’s construction of a transcendental number, later typesetting, at this link.
- Also worked through important proofs, regarding Weierstrass Functions, here. Compared to what most are used to thinking, regarding continuous functions, a Weierstrass Function twists the brain—uniformly continuous, but differentiable at no point, monotonic on no interval, of infinite arc length on all finite intervals, with graphs that are of Hausdorff Dimension strictly greater than one.

*Mathematical field of topology: a Möbius strip*

*Galois
Theory, a tower of subgroups*

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I spent near three years studying Russian in college, and over three weeks in Russia July 2009. Before leaving and while there read Maxim Gorki’s *Twenty-six Men and a Girl*, and translated the story after returning. Also, another short story I translated from Russian, Mikhail Zoshchenko’s ultra-short story *Nervous People. *Both at this link.

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After my brother Marvin started it, decided to inherit his genealogy work. On https://www.ancestry.com, is located here. I descend from a few interesting people … all important. Several owned slaves. I am not proud of this.

*Winnifred Jane Ulrich, also Ullrich, my mom’s dad’s mom; her life was 17 Aug 1875 *–* 5 Feb 1974. Born 102 years before my wedding day (August 17, 2002!), Barely remember her; she died when I was in sixth grade. Recall her as being a bit older, than this photo. Wish I knew how old she was, when it was taken; the ring on her left hand is obvious; she married Heike Ohling, in 1894, when perhaps nineteen.*

*Colleen and I getting married on her birthday was not remotely my or our intent; didn’t even know her birthday, until years later. August 17 is also my mom’s birthday; of this, we were aware.*

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*Ovid*’*s Metamorphoses – great mythology!*

*Here *Daphne chased by Apollo* metamorphoses into a bay laurel tree. He clearly didn’t have her good health in mind, so, good riddance, if a bit expensive, for her.*

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*Read this guy’s collected works a few ago – took over a year, but did it. And saw plays including but not restricted to Shakespeare.*

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