ComplexExpStrips.svg


Summary

Description
Dansk: Den komplekse funktion exp afbilder enhver af de grå striber Si med højdem 2*pi på den komplekse plan. Komplekse tal i z-planet med en indbyrdes forskel på 2*pi*i afbildes som vist med pile i samme punkt i w-planet. De to pile tegnet med cyan og magenta farve viser, hvis de vendes om, hvorden den komplekse logaritmefunktion afbilder komplekse tal i striben S0.
English: The complex exp function maps any og the gray stripes Si onto the complex plane. Complex numbers in the z-plane differing by 2*pi*i will be mapped onto the same point in the w-plane, as shown with arrows. The two arrows colored cyan and magenta, if reversed, illustrate how the complex logarithmic functon maps complex numbers into the stripe S
Date
Source Own work
Author AstroOgier

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Captions

Illustration of how exp maps complex numbers

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depicts

28 October 2019

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