Author: jamespatewilliamsjr
Fifty Years Ahead of the Private Sector by James Pate Williams, Jr, BA, BS, MSwE, PhD
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:
https://eugeneleeslover.com/USN-GUNS-AND-RANGE-TABLES/OP-770-1.html
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.
Realistic Predator-Prey Model by James Pate Williams, Jr., BA, BS, MSwE, PhD
Realistic Predator Prey Model
dN / dt = N * [r * (1 – N / K) – k * P / (N + D)] (Prey Equation)
dP/ dt = P * [s * (1 – h * P / N)] (Predator Equation)
To reduce the six-parameter model to a more manageable three parameter one introduce the following variables and parameters
u(w) = N(t) / K
v(w) = h * P(t) / K
w = r * t
a = k / (h * r)
b = s / r
d = D / K
du / dw = u – (1 – u) – a * u * v / (u + d)
dv / dw = b * v * (1 – v / u)
In my program a = alpha, d = beta, and b = gamma
More Fractals by James Pate Williams, Jr., BA, BS, MSwE, PhD
All the images were generated using the complex polynomial as shown below:
z1 = z0 ^ n + c0
Where c0 and z0 are random complex numbers of the form:
z = x + i * y
where x and y are real numbers and i is the imaginary square root -1. The first three images use n = 3, the next one n = 4, the next four n = 5, and the last three n = 6.
z1 = z0 ^ 2 + c0 = z0 * z0 + c0
Fractals Everywhere Almost by James Pate Williams, Jr., BA, BS, MSwE, PhD
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.


































