Category: Memoirs of James Pate Williams Jr

Blog Entry (c) Saturday, September 14, 2024, by James Pate Williams, Jr. Comparison of Two Prime Number Sieves

Comparison of Atkin and Eratosthenes Prime Number SievesDownload
ComparePrimeSievesDownload
Sieves_HDownload
Sieves_CPPDownload

Blog Entry (c) Saturday August 31, 2024, by James Pate Williams, Jr. Software Development About Two Decades Ago

Unfortunately, I can only find the preceding executable applications and no source code. These programs date back to 2001 and 2002 while I was a graduate student in software engineering and computer science at Auburn University. I seem to recall that these apps were created using Win32 C or C++.

Blog Entry (c) Saturday August 31, 2024, by James Pate Williams, Jr. An Elementary School Problem Found Online

Solve for a real root of the equation
f(x)=log6l(5+x)+log6l(x)=0
First we test our log6l(x) function
log6l(12) = 1.386853
log6l(36) = 2.000000
x = 0.1925824036
f = 0.0000000000
Online Logarithm Problem C Source CodeDownload

Blog Entry (c) Friday August 30, 2024, by James Pate Williams, Jr. Another Simple Math Problem

We use an evolutionary hill-climber and the solution of the quadratic equation to solve the easy problem below:

Solution of f(a,x)=sin(sqrt(ax-x^2))=0
Subject to the constraint x+y=100
Where x and y are the two roots of
g(a,x)=ax-x^2-n*n*pi*pi=0
and n=15
a = 100.347888933988
x = 32.947113268776
y = 67.400775665213
g =  0.000000000000
s = 100.347888933988
runtime in seconds = 43.730000
Other Online Math Problems C Source CodeDownload