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The Electronic Isograph for Roots of Polynomials

 

作者: Byron O. Marshall,  

 

期刊: Journal of Applied Physics  (AIP Available online 1950)
卷期: Volume 21, issue 4  

页码: 307-312

 

ISSN:0021-8979

 

年代: 1950

 

DOI:10.1063/1.1699660

 

出版商: AIP

 

数据来源: AIP

 

摘要:

An electronic apparatus which assists in the finding of the roots of polynomials is described. The device accepts the coefficients of polynomials of degree 10 or less and yields the absolute magnitude of the roots to a precision of 0.01 relative to the largest coefficient in the polynomial and an angular accuracy of 0.3 degree on the angle of the root.The method used is the electronic analog of the expression&ohgr;=anzn=anrn cosn&thgr;+janrn sinn&thgr;.Sinn&thgr; and cosn&thgr; are generated by a motor‐driven commutator. The radiusris controlled manually. Hence a plot of &ohgr; is placed on the oscilloscope for a fixedras a function of &thgr;. To find the rootris manipulated until &ohgr; crosses the origin in the &ohgr;‐plane. The value of &thgr; is found by inserting a pip on the intensity of the oscilloscope under a variable phase control. When this pip is moved to the origin of the &ohgr;‐plane the phase meter indicates the angle of the root in thezplane.

 

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