Category: C Applications
Blog Entry © Tuesday, January 21, 2025, Rare Snow Day, by James Pate Williams, Jr.
Blog Entry (c) Monday, January 2025, by James Pate Williams, Jr. nth Roots of a Real Number Using the Newton-Raphson Method Win32 C/C++ App
Blog Entry (c) Monday, January 20, 2025, by James Pate Williams, Jr. Solution of a Nonlinear Equation Using a Back-Propagation Neural Network
The equation solved is f(x, y, z, u) = x + y * y + z * z * z + u * u * u * u = o.
Blog Entry © Saturday, January 18, 2025, by James Pate Williams, Jr. Preliminary Virtual Vision Field (VVF) Diagnostic Optometry Test Simulator
I was administered a VVF Test on Wednesday, January 15, at Dr. Brent Brown and Associates Inc office in LaGrange, Georgia. The test consists of using a headset that has an orange circle in the center of the display. The examinee has a trigger device to click each time a white flash occurs. I decided to write a C/C++ Win32 application to simulate the VVF Test. The following two pictures are from a simulated test of one minute in duration. The white flashes are separated by 1000 millisecond (1 second) and their durations are also 1000 milliseconds (1 second).
Positions of the Hits
1 (571, 842)
2 (587, 196)
3 (594, 644)
4 (694, 273)
5 (717, 620)
6 (718, 297)
7 (724, 360)
8 (743, 186)
9 (774, 736)
10 (798, 326)
11 (835, 361)
12 (859, 357)
13 (927, 553)
14 (1040, 848)
15 (1100, 463)
16 (1177, 157)
17 (1195, 552)
18 (1225, 190)
19 (1234, 344)
20 (1253, 606)
21 (1285, 872)
22 (1290, 594)
23 (1297, 391)
24 (1303, 458)
Positions of the Misses
1 (627, 832)
2 (983, 266)
3 (1078, 827)
4 (1191, 788)
5 (1258, 349)
6 (1317, 585)
Blog Entry © Tuesday, January 7 – Thursday, January 9, 2025, by James Pate Williams, Jr. Solution of a System of Nonlinear Equations Using Damped Newton’s Method for a System of Equations
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Blog Entry © Tuesday, October 29, 2024, by James Pate Williams, Jr. Second Order Quantum Mechanical Perturbation Calculation Part II
Blog Entry (c) Monday September 16, 2024, by James Pate Williams, Jr. Ramanujan Highly Composite Numbers
Ramanujan Highly Composite Numbers
## 2 3 5 7 11 13
1 2 1
2 4 2
3 6 1 1
4 12 2 1
5 24 3 1
6 36 2 2
7 48 4 1
8 60 2 1 1
9 120 3 1 1
10 180 2 2 1
11 240 4 1 1
12 360 3 2 1
13 720 4 2 1
14 840 3 1 1 1
15 1260 2 2 1 1
16 1680 4 1 1 1
17 2520 3 2 1 1
18 5040 4 2 1 1
19 7560 3 3 1 1
20 10080 5 2 1 1
21 15120 4 3 1 1
22 20160 6 2 1 1
23 25200 4 2 2 1
24 27720 3 2 1 1 1
25 45360 4 4 1 1
26 50400 5 2 2 1
27 55440 4 2 1 1 1
28 83160 3 3 1 1 1
29 110880 5 2 1 1 1
30 166320 4 3 1 1 1
31 221760 6 2 1 1 1
32 277200 4 2 2 1 1
33 332640 5 3 1 1 1
34 498960 4 4 1 1 1
35 554400 5 2 2 1 1
36 665280 6 3 1 1 1
37 720720 4 2 1 1 1 1
38 1081080 3 3 1 1 1 1
39 1441440 5 2 1 1 1 1
40 2162160 4 3 1 1 1 1
Runtime in seconds = 182.490
Type any character to exit application
Numerical Explorations 