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:
MeetUp.com is a website that allows a MeetUp.com Group Coordinator to hold in person (offline) and virtual (online via Zoom.com) groups. My first group is “Ballistics” which should be more exactly “Exterior Ballistics”. Below is the MeetUp.com blurb:
This group is dedicated to the study of the United States Naval Academy textbook “Exterior Ballistics, 1935” by Ernest Edward Herrmann. The contents of this book was used extensively in World War II by the United States Navy and its battleships. The group should be able to carry out ballistic calculations both classical and including drag and other trajectory corrections. Exterior ballistics is applicable to the flights of all sorts of balls including baseballs and golf balls. It is also useful for large artillery, handgun, and rifle projectile exterior ballistics. Here is an application of the methods to the Iowa class of fast battleships and their heavy armament, the 16 inch 50 caliber rifled artillery:
Back in 1982 research into electronic olfaction (electronic sense of smell, electronic nose) began. By the mid-1990s and late 1990s viable electronic nose systems were coming into existence. That means that before the 2000s we had tackled 60% of human senses via electronic means: sight, hearing and smell. That left only the senses of feel (tactile responses) and taste were yet to be conquered. The senses of smell and taste are chemically coupled. Here is a December 1995 paper on electrochemical noses their applications: https://www.researchgate.net/publication/2747174_Electronic_Noses_And_Their_Applications This maybe of interest since covid-19 may cause temporary loss of the senses of smell and taste.
I have heard some former or want to be National Security Officers suggest that the National Security Agency is and has been since 1952 fifty years ahead of the private sector in many active areas of research. I have clear evidence based on one 1941 document that the United States Navy was at least fifty years ahead of the war-by -wireless technology in the Ordnance Pamphlet 770 which was printed in October 1941:
The approximate maximum range of the 16-inch by 50 caliber fast battleship class Iowa artillery is around 24 miles at a maximum elevation of 45 degrees. The horizon can be calculated to be at height of 60 feet above sea level to be 1.22 * (60)^(1/2) = 9.45 miles. So, the question is how can you guarantee an accurate shot at 24 miles even with the crude radar of the day? One uses a spotter aircraft to give the accurate longitude-latitude coordinates of the enemy ship. Thus, we have GPS gunnery in 1930s-1940s technology. We are a country of warfare geniuses in the United States of North America.
I am sure there are many other examples of the U.S. getting a lot of bang for our tax dollars.
Numerical Explorations 