What does symmetry and anti-symmetry mean in terms of loads.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter18: Mathematics In Engineering
Section18.6: Calculus
Problem 4BYG
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What does symmetry and anti-symmetry mean in terms of loads.
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