Blog Entry (c) Tuesday, October 15, 2024, by James Pate Williams, Jr. Nonlinear Least Squares Curve Fitting Example from Quantum Chemistry

Blog Entry © Monday, October 14, 2024, Binomial Theorem Related Differentiation and Integration by James Pate Williams, Jr.

Blog Entry (c) Monday, October 14, 2024, by James Pate Williams, Jr. Three Hydrogen Molecule Ion Integrals and Energy Values

References: https://web.stanford.edu/~oas/SI/QM/Atkins05.pdf See Example 8.1 The evaluation of overlap and Coulomb integral for the hydrogen molecule ion pages 255 – 256 https://www.physics.udel.edu/~jim/PHYS425_20S/Class%20Notes/Notes_8.pdf https://phys.libretexts.org/Bookshelves/Quantum_Mechanics/Introductory_Quantum_Mechanics_(Fitzpatrick)/13%3A_Variational_Methods/13.03%3A_Hydrogen_Molecule_Ion#fh2pa

Blog Entry © Monday, October 14, 2024, Real Eigenvalues and Eigenvectors of a 4 x 4 Tridiagonal Matrix and Solutions of a 4 x 4 System Using the Same Tridiagonal Matrix by James Pate Williams, Jr.

Two methods of solving linear systems of equations are explored in this blog. The methods are the Gauss-Seidel method and the Jacobi iteration.

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