Blog Entry (c) Monday, January 2025, by James Pate Williams, Jr. nth Roots of a Real Number Using the Newton-Raphson Method Win32 C/C++ App

Blog Entry (c) Monday, January 20, 2025, by James Pate Williams, Jr. Solution of a Nonlinear Equation Using a Back-Propagation Neural Network

The equation solved is f(x, y, z, u) = x + y * y + z * z * z + u * u * u * u = o.

Blog Entry © Saturday, January 18, 2025, by James Pate Williams, Jr. Preliminary Virtual Vision Field (VVF) Diagnostic Optometry Test Simulator

I was administered a VVF Test on Wednesday, January 15, at Dr. Brent Brown and Associates Inc office in LaGrange, Georgia. The test consists of using a headset that has an orange circle in the center of the display. The examinee has a trigger device to click each time a white flash occurs. I decided to write a C/C++ Win32 application to simulate the VVF Test. The following two pictures are from a simulated test of one minute in duration. The white flashes are separated by 1000 millisecond (1 second) and their durations are also 1000 milliseconds (1 second).

Positions of the Hits

1 (571, 842)
2 (587, 196)
3 (594, 644)
4 (694, 273)
5 (717, 620)
6 (718, 297)
7 (724, 360)
8 (743, 186)
9 (774, 736)
10 (798, 326)
11 (835, 361)
12 (859, 357)
13 (927, 553)
14 (1040, 848)
15 (1100, 463)
16 (1177, 157)
17 (1195, 552)
18 (1225, 190)
19 (1234, 344)
20 (1253, 606)
21 (1285, 872)
22 (1290, 594)
23 (1297, 391)
24 (1303, 458)

Positions of the Misses

1 (627, 832)
2 (983, 266)
3 (1078, 827)
4 (1191, 788)
5 (1258, 349)
6 (1317, 585)

Blog Entry © Tuesday, January 14, 2025, by James Pate Williams, Jr. Solution of an 8×8 System of Nonlinear Equations Using a Hybrid Algorithm

Blog Entry © Tuesday, January 7 – Thursday, January 9, 2025, by James Pate Williams, Jr. Solution of a System of Nonlinear Equations Using Damped Newton’s Method for a System of Equations

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 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.