My whole legal name is James Pate Williams, Jr. I was born in LaGrange, Georgia approximately 70 years ago. I barely graduated from LaGrange High School with low marks in June 1971. Later in June 1979, I graduated from LaGrange College with a Bachelor of Arts in Chemistry with a little over a 3 out 4 Grade Point Average (GPA). In the Spring Quarter of 1978, I taught myself how to program a Texas Instruments desktop programmable calculator and in the Summer Quarter of 1978 I taught myself Dayton BASIC (Beginner's All-purpose Symbolic Instruction Code) on LaGrange College's Data General Eclipse minicomputer. I took courses in BASIC in the Fall Quarter of 1978 and FORTRAN IV (Formula Translator IV) in the Winter Quarter of 1979. Professor Kenneth Cooper, a genius poly-scientist taught me a course in the Intel 8085 microprocessor architecture and assembly and machine language. We would hand assemble our programs and insert the resulting machine code into our crude wooden box computer which was designed and built by Professor Cooper. From 1990 to 1994 I earned a Bachelor of Science in Computer Science from LaGrange College. I had a 4 out of 4 GPA in the period 1990 to 1994. I took courses in C, COBOL, and Pascal during my BS work. After graduating from LaGrange College a second time in May 1994, I taught myself C++. In December 1995, I started using the Internet and taught myself client-server programming. I created a website in 1997 which had C and C# implementations of algorithms from the "Handbook of Applied Cryptography" by Alfred J. Menezes, et. al., and some other cryptography and number theory textbooks and treatises.
If I were an ammo mogul I would probably have extensive field testing of each new set of bronze cartridges created. Bronze (copper and tin) is better than brass (copper and zinc) because of the following criteria: it is harder and more corrosion resistant than brass. These tests would include ballistics Doppler radar test firings. Note that this bronze probably comes from Republic of Korea and the .223 Remington cartridges are a product of the Republic of Korea.
Back in February 2015 I implemented the SHA-3 Secure Hashing Function which is a National Institutes of Standards and Technology Standard. This is much less verbose than my 2018 blog post about SHA-3.
A Sudoku is a puzzle consisting of a three-by-three or four-by-four of spaces or numbers. The solution of a three-by-three Sudoku is to fill in the blanks with numbers 1…9 such that each three-by-three unit has only one of the numbers 1…9. Below is a worked example of a Sudoku:
4 1 7 3 6 9 8 2 5
6 3 2 1 5 8 9 4 7
9 5 8 7 2 4 3 1 6
8 2 5 4 3 7 1 6 9
7 9 1 5 8 6 4 3 2
3 4 6 9 1 2 7 5 8
2 8 9 6 4 3 5 7 1
5 7 3 2 9 1 6 8 4
1 6 4 8 7 5 2 9 3
I translated a Python program by Peter Norvig into C#. I used Norvig’s 95 “hard” to solve sudokus. It takes between thirty and fifty seconds on my home desktop to solve the 95 sudokus. Here is the tail of the run to solve the 95 sudokus. You can also solve one of the 95 sudokus by hand.
Way back in the mid-1960s there was an influential psychology book named “Games People Play” by Eric Berne, a psychiatrist, and it was based on the relatively new psychological paradigm entitled Transactional Analysis or TA for short. Transactional analysis was a replacement for Freudian analysis and human beings were represented by Parent (Super-ego), Adult (Ego), and Child (Id). The terms in parentheses are the Freudian terminology. Transactional analysis introduced the transaction which can be between Parent-Parent, Parent-Adult, Parent-Child, Adult-Child, Child-Child, Adult-Adult, and Parent-Parent. Crossed transactions such as Parent-Child, Parent-Adult, Adult-Child should probably be avoided.
Some of more popular games are “if it weren’t for you (IIWFY)” and “let you and him fight (LYAHF)”. IIWFY is a blame game. LYAHY is an ego building game for the person instigating the fight and is very popular at bars among drunks (people of diminished capacity).
The fourteen peg puzzle is a form of amusement which I have seen at my local Cracker Barrel. The puzzle involves fourteen pegs in fifteen holes in a triangular configuration. The top hole is empty. The object of the puzzle is to jump pegs over one another until only one peg is left. Jumped pegs are removed from the board.
Building the Sample
This project should build as is using Visual Studio 2008.
Description
This application was translated from a Turbo Pascal program found in Data Structure Using Turbo Pascal by Thomas M. Boger. Depth-first search with backtracking is utilized to find the solution in the allowed thirteen moves. Two stacks are used to store the moves a move stack and a reverse move stack. The translation process had to take into account a relatively strange Turbo Pascal table and an array whose base index was -1. Boger creates an array for the representation of the fourteen peg puzzle that is a right triangle for internal application operations.
These incomplete elliptic integrals are one dimensional and can be readily calculated using the Gauss-Legendre one dimensional integration technique. I use a 128 points in each integral computation. The integrals have two parameters x and k. We evaluate the F(x, k), the incomplete elliptic integral of the first kind, and E(x, k), the incomplete integral of the second kind.
Back in the 1980s a former professor of mine in mathematics at LaGrange College posed a problem to me. He handed me a deflated football and asked me to compute the volume and surface area when it was inflated. Unfortunately, I just got around to solving the problem today, Sunday, October 11, 2020. I had some help from the Casio Corporation which has a lot of free calculators on the Internet:
Numerical Explorations 