A Modern Reincarnation of Ordnance Pamphlet 770 October 1941 by James Pate Williams, Jr. BA, BS, MSwE, PhD

Ordnance Pamphlet 770 by the United States Navy is concerned with testing and calibrating the 16 inch/50 caliber guns of the Iowa class of fast battleships. I use modern digital computer methods to attempt to reproduce the analog computations of the ordnance pamphlet. Recall that digital computers did not exist in 1941, but analog computers using cams, differentials, gears, and levers did exist.

Pamphlet Paper

Exercises for the Feynman Lectures on Physics by Richard Feynman, Et Al. Chapter 36 Fourier Analysis of Waves– Detailed Computer Work by James Pate Williams, Jr. BA, BS, MSwE, PhD

Exercise 36.1 (a) Graph
f(x) = 1 for all x contained in the interval [0, 6.28]
Exercise 36.1 (a) Coefficients
Fourier coefficients for a constant function f(x) = 1

 

 

Exercise 36.1 (b) Graph
f(x) = sin x for all x in the interval [0, 6.28]
Exercise 36.1 (b) Coefficients
Fourier coefficients for f(x) = sin x for all x in [0, 6.28]
Exercise 36.2 Graph
Graph of the Fourier Series Approximation to the Square Wave with the Gibb’s Overshoot Phenomena Clearly Present

 

Exercise 36.2 Coefficients
Fourier Series Coefficients for the Square Wave

Exercise 36.2 (a)

Exercise 36.2 (b)

Exercise 36.2 (c)

 

 

Exercise 36.3 Graph
Graph of the Fourier Series Approximation to the Triangle Wave

 

Exercise 36.3 Coefficients
Fourier Coefficients for the Triangle Wave

Exercise 36.3 (b) (1)

Exercise 36.3 (b) (2)

 

Exercise 36.4

 

Exercise 36.6 Graph
Graph of the Fourier Series Approximation to a Saw-Tooth Wave

 

Exercise 36.6 Coefficients
Fourier Coefficients for the Saw-Tooth Wave

 

Exercise 36.8 Graph
Graph of the Fourier Approximation to the Rectified Sine Wave

 

Exercise 36.8 Coefficients
Fourier Series Coefficients for the Rectified Sine Wave