FreeLIP is a free large integer package solely created by Professor Emeritus Arjen K. Lenstra of the Number Field Sieve fame. He developed FreeLIP while he was an employee of AT&T – Lucent in the late 1980s. His copyright notice in the header file, lip.h, states copyright from 1989 to 1997. I have been using this excellent number theoretical package since the late 1990s. See the paper by Donald E. Knuth and Thomas J. Buckholtz for the formula for Tangent Numbers. I can’t remember where I got the Euler Numbers recurrence relation. I wrote a C# application in 2015 for computing Euler Numbers. The code below is in the vanilla C computer language. Excellent resources for the Euler and tangent numbers also known as zag numbers are:
Category: Computer Science
Blog Entry Sunday, June 16, 2024 (c) James Pate Williams, Jr. Chapter 4 Matrices and Systems of Linear Equations from a Textbook by S. D. Conte and Carl de Boor
Blog Entry Friday, June 14, 2024 (c) James Pate Williams, Jr.
For the last week or so I have been working my way through Chapter 3 The Solution of Nonlinear Equations found in the textbook “Numerical Analysis: An Algorithmic Approach” by S. D. Conte and Carl de Boor. I also used some C source code from “A Numerical Library in C for Scientists and Engineers” by H. T. Lau, PhD. I implemented twenty examples and exercises from the previously mentioned chapter.
Blog Entry Friday, June 7, 2024, (c) James Pate Williams, Jr. A Nice Integral
Blog Entry June 5-7, 2024, (c) James Pate Williams, Jr. All Applicable Rights Reserved Chapter 7 Example and Some Exercises from “Numerical Analysis: An Algorithmic Approach (c) 1980 by S. D. Conte and Carl de Boor (Numerical Differentiation and Numerical Integration)
Blog Entry June 3-4, 2024, (c) James Pate Wiliams, Jr., Solution of Tridiagonal Matrix Problems
The first solution is from the textbook, Elementary Numerical Analysis: An Algorithmic Approach (c) 1980 by S. D. Conte and Carl de Boor. I translated the FORTRAN code to vanilla C using Visual Studio 2019 Community Version. The second solution is from Boundary Value Problems Second Edition (c) 1979 by David L. Powers. It solves a simple second order linear ordinary differential equation using the finite element difference equation method.
Blog Entry for Early Morning Friday, May 31, 2024, Solutions of a Second Order Self-Adjoint Ordinary Differential Equation by Three Methods
Blog Entry Tuesday, May 28, 2024, Quantum Mechanics by James Pate Williams, Jr.
Quantum Mechanical Angular Momentum Ladder Operators by James Pate Williams, Jr. Copyright Thursday, May 23, 2024, All Applicable Rights Reserved
Bad “Rate My Professor” Review for Adjunct Instructor James Pate Williams, Jr. While Teaching on Two West Georgia Technical College Campuses
I received a much less than stellar review in my short teaching career at the West Georgia Technical College campuses in Carrolton, Georgia, and LaGrange, Georgia. I seem to recall that I was commuting 41.8 miles one way to Carrolton two or three days a week. I also was giving my roommate a ride to her medical clinic (as a patient) five or six times a week to Newnan, Georgia, a one-way distance of 30.9 miles. I was expected to teach Information Technology rather than software engineering and/or computer science. I believe I received a negative teaching review from a Carrolton student in my “Maintenace and Repair of Personal Computers” in the 2012 Winter Semester. I did later earn a TestOut.com certification in the area of PC Pro. We used the simulators offered online from TestOut.com. I earned the PC Pro certificate credential ID C8FR in August 2013. In my defense, I was a competent instructor of Windows 2007 Office and “Maintenace and Repair of Personal Computers” before I resigned due to negative ethics on my part. Also, I did much better instructing when I was teaching only on the LaGrange, Georgia campus.
