Citation
Morgan, Merle Loren (1954) A computer for algebraic functions of a complex variable. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/19YTMN23. https://resolver.caltech.edu/CaltechETD:etd01232004135703
Abstract
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Any rational algebraic function of a complex variable, and certain irrational functions, can be factored in either of the equivalent forms: [...] or [...]. In these expressions, F is a function of the complex variable z; each m represents a positive or negative constant, and the other letters represent complex constants. A theory is developed for computers for such functions, in which voltages proportional to the logarithmic components of each factor are obtained from the electrical potential distributions on a pair of uniform resistive sheets. The electrical summation of the voltages representing the factors then yields readings of the logarithmic components of the function.
An actual computer, built to test and demonstrate the theory, is described. This computer accepts information in the form of the magnitude (absolute value, modulus) and the phase (angle, argument, amplitude) of each constant and of z in either of the above expressions, and yields answers in the form of the magnitude and phase of the function F. The computer is useful for applications requiring the evaluation of F at a large number of values of z; it is even more valuable for the inverse problemthat of determining by trial (by root locus tracing) the values of z (the roots) for a given value of F.
Item Type:  Thesis (Dissertation (Ph.D.)) 

Degree Grantor:  California Institute of Technology 
Division:  Engineering and Applied Science 
Major Option:  Electrical Engineering 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Thesis Committee: 

Defense Date:  1 January 1954 
Record Number:  CaltechETD:etd01232004135703 
Persistent URL:  https://resolver.caltech.edu/CaltechETD:etd01232004135703 
DOI:  10.7907/19YTMN23 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  289 
Collection:  CaltechTHESIS 
Deposited By:  Imported from ETDdb 
Deposited On:  28 Jan 2004 
Last Modified:  21 Dec 2019 01:43 
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