Blog Entry © Monday, October 7, 2024, by James Pate Williams, Jr. Recent Voyages into the World of Quantum Chemistry

Blog Entry (c) Thursday September 19, 2024, by James Pate Williams, Jr. Ship to Ship Ballistics

The following graphs and data are for a hypothetical engagement between the Battleship Iowa (BB-61) and an unlucky enemy warship. My numbers are very close to those found in Ordnance Pamphlet 770 at the following website:

https://eugeneleeslover.com/USN-GUNS-AND-RANGE-TABLES/OP-770-1.html

Blog Entry (c) Saturday, September 14, 2024, by James Pate Williams, Jr. Comparison of Two Prime Number Sieves

Blog Entry (c) Saturday August 31, 2024, by James Pate Williams, Jr. Software Development About Two Decades Ago

Unfortunately, I can only find the preceding executable applications and no source code. These programs date back to 2001 and 2002 while I was a graduate student in software engineering and computer science at Auburn University. I seem to recall that these apps were created using Win32 C or C++.

Blog Entry (c) Tuesday, August 20, 2024, by James Pate Williams, Jr. More Goldwasser-Kilian Primality Results (64-Bit Version which I call Single Precision)

Blog Entry Wednesday, August 14, 2024 (c) James Pate Williams, Jr. Goldwasser-Kilian Primality Test

The Goldwasser-Kilian Primality proving algorithm was the first method to utilize elliptic curves to generate primality proving certificates. What follows is a file of two certificates and the single precision C source code.

Blog Entry (c) Saturday, August 10, 2024, by James Pate Williams, Jr. The LLL Lattice Reduction Algorithm

Blog Entry August 9, 2024, (c) James Pate Williams, Jr. Another Online Math Problem

The problem is to find the real root of the equation: f(x)=x^(x^8)-8=0. I use the Newton-Raphson method, a root finding algorithm. A first guess is x = 2. The solution is: x = 1.2968395547, f(x) = -2.6645353e-15. I compute the necessary derivative using central-finite differences with a step size of h = 2/10000.