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Nomographic Representation of the Functional Relations among Three Complex Variables
Author(s) -
Morita K.,
Simokawa Y.
Publication year - 1960
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19600400707
Subject(s) - chart , representation (politics) , complex plane , mathematics , functional equation , gaussian , plane (geometry) , matrix (chemical analysis) , pure mathematics , combinatorics , statistics , mathematical analysis , geometry , differential equation , computational chemistry , chemistry , politics , political science , law , chromatography
We define a Massau's complex chart matrix M 3 c of the third order and show that the functional equation det (M 3 c ) = 0, including three complex variables zj (j = 1, 2, 3), is expressed by our complex chart in Gaussian plane, and that an unknown number, one of z's, is obtained by a pantograph or an elementary geometrical construction. Some example of these charts are also explained.