Category: Memoirs of James Pate Williams Jr

Blog Entry © Wednesday, January 8, 2025, by James Pate Williams, Jr. Elon Musk’s Ambitious Supercomputer Thoughts

Elon Musk’s choice of geographic location for his Collossus supercomputer, namely, Memphis, TN, was probably a bad choice. A better site with more TVA (Tennessee Valley Authority) power support would have been Oak Ridge, TN. The Collossus name probably came from the science fiction book Collossus: The Forbin Project by the British author Dennis Feltham Jones which was copyrighted in 1966. A movie by the same name was released in 1970. Elon Musk’s AI entity is named Grok which is a verb from the science fiction novel Stranger in a Strange Land by Robert A. Heinlein. Grok means to deeply understand. The supercomputer may one day consist of 1,000,000 Nvidia Graphical Processing Units. The computer’s power requirements are enormous.

Blog Entry © Wednesday, January 1, 2025, by James Pate Williams, Jr Solution of a 4×4 System of Nonlinear Equations Using a Homegrown Evolutionary Hill-Climber

Blog Entry January 1 2025Download

Blog Entry Saturday, December 28, 2024 (c) James Pate Williams, Jr. Kudos to Doctors without Borders

The physicians in the organization are sacrificing wealthy private practices and perhaps their lives in crime infested and/or war-torn countries. Several United States schools of medicine allow some of their students to pursue their medical education under the Doctors without Borders generous umbrella. I am proud of my youngest niece who spent a summer semester in Honduras working as a doctor-to-be in the Doctors without Borders organization.

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Mathematical and Scientific Tutoring 15 USD per HourDownload

First United Methodist Church (FUMC) of LaGrange Georgia Historical Attendance Data for the Year of 2006 © James Pate Williams, Jr., BA, BS, Master Software Engineering, PhD and FUMC Friday, December 20, 2024, to Tuesday, December 24, 2024

FUMC Attendance Data for 2006Download

Blog Entry © Saturday, November 30, 2024, by James Pate Williams, Jr. Partial Solution of the Schrödinger Equation for Hydrogen in Parabolic Coordinates

Solution of the Schrödinger Equation for Hydrogen in Parabolic CoordinatesDownload

Blog Entry (c) Thursday, November 21, 2024, by James Pate Williams, Jr. Comparison of Homegrown Fifth Order Runge-Kutta Method Versus a Limited Number of Predictor-Corrector Algorithm

The first table is based on Conte-de Boor Fourth Runge-Kutta formulas that I converted to Fifth Order Runge-Kutta. Initial values: V = 2600 feet per second angle of elevation 30 degrees diameter 16 inches coefficient of form 0.61 density ratio 1.00 are from LCDR Ernest Edward Herrmann’s Exterior ballistics, 1935 My results are given first then LCDR Herrmann’s results:

x deg min sec time v vx vy y
0 30 0 0 0.00 2600 2252 1300 0
563 29 50 45 0.25 2578 2236 1283 325
1122 29 41 24 0.50 2556 2221 1266 646
1677 29 31 57 0.75 2535 2206 1250 962
2229 29 22 25 1.00 2515 2191 1233 1275
2776 29 12 47 1.25 2494 2177 1217 1583
3321 29 3 4 1.50 2474 2163 1201 1887
3861 28 53 15 1.75 2455 2149 1186 2188
x deg min sec time v vx vy y
0 30 0 0 0.00 2600 2252 1300 0
561 29 50 7 0.25 2582 2259 1285 323
1120 29 41 4 0.50 2564 2227 1270 642
1675 29 32 2 0.75 2546 2216 1255 958
2228 29 22 5 1.00 2529 2204 1241 1270

It is amazing how accurate Herrmann’s results were based on only a couple iterations using the Mayevski seven zone velocity retardation formulas.