On a Theorem Used in Determining a Driving-Point Immittance from Its Phase Specifications

A simple and straightforward proof is given of the following theorem: The slope of the numerator polynomial of the odd part of a positive real function F(s) is negative at a pole, and positive at a zero, of F(s) on the imaginary axis, including the origin. The theorem is used in the tangent function method of deriving a drivingpoint immittance from the specification of its phase

Electronic engineering · Function (biology) · Geometry · Immittance · Inverse trigonometric functions · Mathematical analysis · Phase (matter) · Physics · Point (geometry) · Pole–zero plot · Polynomial · Simple (philosophy) · Tangent · Transfer function · Zero (linguistics) · Advanced Theoretical and Applied Studies in Material Sciences and Geometry · Mathematics