Category: Memoirs of James Pate Williams Jr

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

Blog Entry (c) Tuesday, August 27, 2024, Two More Online Mathematics Problems by James Pate Williams, Jr.

Solution of f(t) = cos(2t) + cos(3t)
t    =  0.628318530718
f(t) =  1.11022302e-16
Solution of f(x) = sqrt(1 + sqrt(1 + x)) - x^1/3
x    =  8.000000000000
f(x) =  0.00000000e+00
Solution of f(x) = 9^x + 12^x - 16^x
x    =  -16.387968065352
f(x) =    2.32137533e-16
Solution of f(x) = 8^x-2^x - 2(6^x-3^x)
x    =  1.000000000000
f(x) =  0.00000000e+00
Other Online Mathematics Problems C Source CodeDownload