Answered: 22. Show that if F₁ and F₂ are…

22. Show that if F₁ and F₂ are primitives for f: G → C and G is connected then there is a constant c such that F₁(z) = c+F₂(z) for each z in G.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 3E: 3. For each of the following mappings, write out and for the given and, where.

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Question

22. Show that if F₁ and F₂ are primitives for f: G → C and G is connected
then there is a constant c such that F₁(z) = c+F₂(z) for each z in G.

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