Author: jamespatewilliamsjr
Tumor Cell Growth – Simple Model by James Pate Williams, Jr., BA, BS, MSwE, PhD
See Section 2.8 Tumor Cell Growth in “Mathematical Biology – 1: An Introduction” by J. D. Murray pages 72 – 75.
The key equation is give on page 72:
N[t + 1] = r * N[t] * {1 – N[t]}
End of Old 2006 Autobiography/Journal by James Pate Williams, Jr., BA, BS, MSwE, PhD
Some of my Music Computer Generated or Otherwise
Obesity in the United States Historical and Predicted by James Pate Williams, Jr., BA, BS, MSwE, PhD

Who is that Masked Man? by James Pate Williams, Jr., BA, BS, MSwE, PhD
I had a mentor in my formative years of 1976 – 1985 whose name was Dr. Professor Kenneth Cooper, BS, MS, MCSE, PhD. He supposedly earned his Doctor of Philosophy in Biochemistry at Florida State University and Master of Computer Science Engineering at Auburn University. By my first graduation from LaGrange College on May 31, 1979, Professor Cooper had built by hand an analog computer and a primitive microprocessor computer in a wooden box. I learned how to program both computers. As stated earlier in blog entry by me, I took an Intel 8080 or 8085 microprocessor architecture course taught by Dr. Cooper Spring Quarter of 1979. I was the only student in the class. I learned how to hand assemble assembly language to convert it to machine language and enter it into the microprocessor’s computer memory via a two-digit hexadecimal display and crude keypad. One of my first programs was a countdown from FF in hexadecimal (255 decimal) to 00 Hexadecimal (0 decimal). I had to use a timer and other programming features. Professor Cooper did a lot more for me after graduation much I have written much about our mentor-mentee relationship in previous blog entries. I lost track of Professor Cooper from about 1985 until sometime in June or July 2019. I assumed he was dead until one day or night while I was incarcerated at Pathways Center Second Season, a staff member made the announcement to me that she was married to my Dr. Cooper. She knew the fact that he liked raising honeybees and was a continually active beekeeper. This staff member was Tameka (spelling etc.) who supposedly was inseminated at a sperm bank with one or more of my sperm and gave birth to a child who is now 22 years old and supposedly my child whom I had never met until the summer of 2019. My “child’s” name is pronounced roughly as “Malaysia”. These two revelations had me flabbergasted. I really did not believe that CIA cover story. See I have always felt that Kenneth Cooper was a United States Air Force driver of an A-12 Oxcart (Archangel) aircraft and thus was also an operative in the Central Intelligence Agency. Supposedly Dr. Cooper now flies a helicopter that he and the CIA bought him. I believe his real name is Colonel Kenneth S. Collins. Malaysia was pregnant with supposedly my grandchild. I will write more about Dr. Cooper and company in a later blog entry.
Singleton’s Sorting Algorithm 1979 and 2018 by James Pate Williams, Jr., BS, BS, MSwE, PhD
I first implemented Singleton’s sorting algorithm in the Summer of 1979. The programming language was Data General’s version of Dayton BASIC (Beginner’s All-purpose Symbolic Instruction Code). This variant of BASIC was interpretive like C#, Java, and Pascal. Below is my BASIC version and run-times for double precision numbers in an inverted sequence.
Zoom forward to my current computer and C# programming language in 2018.
Bullet Ballistics Version 1.7 by James Pate Williams, Jr., BA, BS, MSwE, PhD
Simulated firing of a 16 inch by 50 calibers battleship Iowa BB-61’s main artillery. This is the maximum range (24.56 miles)!
Baseball Ballistics by James Pate Williams, Jr., BS, BS, MSwE, PhD
There are analytic equations that are applicable to the trajectory of a batted or thrown baseball:
Click to access 04-LAJPE-782_Chudinov.pdf
I created a C# application to test the preceding equations against numerical methods of calculating the trajectory of a baseball. The baseball has an initial velocity of 90 miles per hour and an angle of inclination of 20 degrees. The classical model certainly overestimates the trajectory.
An Anagram Solver by James Pate Williams, Jr., BA, BS, MSwE, PhD
Back in November of 2016 I developed a C# anagram solver using an English dictionary, a hash table, and a permutation generator. An anagram is a scrambled or permuted word such as ndreni = dinner. The permutation generator is only good for words up to twelve letters. A hash table is a fast way of accessing a list.






























