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Francis J. Murray, "Mathematical Machines: Analog Devices v. 2"

CONTENTS OF VOLUME II

Part III

CONTINUOUS COMPUTERS

1. Introduction

A. IDEA OF A CONTINUOUS COMPUTER 3

B. AMPLIFIERS AND STABILITY 3

C. PROBLEM RANGE 4

D. CONTINUOUS COMPUTATION 6

2. Differentials and Multipliers

A. INTRODUCTION TO MECHANICAL

COMPONENTS 7

B. ADDERS 8

C. MULTIPLYING BY A CONSTANT 12

D. SIMILAR TRIANGLE MULTIPLIER 15

E. RESISTANCE AND MECHANICAL

COMPONENTS 17

F. DIVISION 22

3. Cams and Gears

A. CAM THEORY 26

B. FUNCTION CAMS 27

C. INVOLUTE GEARS AND WRAPAROUNDS 31

D. LOG AND SQUARE CAM MULTIPLIERS 33

E. BACKLASH 34

4. Mechanical Integrators, Differentiators,

and Amplifiers

A. INTEGRATORS 37

B. DIFFERENTIATORS 39

C. MECHANICAL AMPLIFIERS 43

5. Circuit Theory

A. INTRODUCTION 48

B. NOTION OF A CIRCUIT 48

C. THE CIRCUIT EQUATIONS 50

D. MESH EQUATIONS 52

E. SOLUTION OF THE CIRCUIT PROBLEM 53

F. THE MESH CURRENTS AS SOLUTIONS OF

DIFFERENTIAL EQUATIONS 54

G. THE NATURE OF THE SOLUTION 54

H. THEVENTN S THEOREM 55

i. APPLICATIONS OF THEVENTN S THEOREM 56

J. COMPLEX CIRCUIT THEORY AND

ILLUSTRATIONS; FILTERS 63

6. Electrical Computing

A. INTRODUCTION 69

B. POTENTIOMETERS 69

C. ELECTRICAL ADDITION 75

D. CONDENSER INTEGRATION 77

7. Amplifiers

A. THE BASIC NOTION OF AN AMPLIFIER 81

B. VACUUM TUBES AS AMPLIFIERS 81

C. FEEDBACK AMPLIFIERS 88

D. STABILITY 91

E. DRIFT COMPENSATION 95

F. SUMMING AMPLIFIERS 97

G. INTEGRATING AMPLIFIERS 101

8. Electromechanical Components

A. MOVING WIRE IN FIELD 103

B. MECHANICAL ANALOGS OF ELECTRICAL

CIRCUITS 106

C. WATT HOUR METER 107

D. SYNCHRO SYSTEMS 109

9. Electrical Multiplication

A. INTRODUCTION 112

B. TIME DIVISION MULTIPLIER 113

C. MODULATION MULTIPLIER 118

D. STRAIN GAUGE MULTIPLIER 118

E. STEP MULTIPLIER 119

F. CATHODE-RAY MULTIPLIERS 120

10. Representation of Functions

A. FUNCTION TABLE 123..........

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