Saint-Venant's Compatibility Condition
In the mathematical theory of elasticity the strain is related to a displacement field by
Barré de Saint-Venant derived the compatibility condition for an arbitrary symmetric second rank tensor field to be of this form, this has now been generalized to higher rank symmetric tensor fields.
Read more about Saint-Venant's Compatibility Condition: Rank 2 Tensor Fields, Generalization To Higher Rank Tensors
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“Undoubtedly we have not questions to ask which are unanswerable. We must trust the perfection of the creation so far, as to believe that whatever curiosity the order of things has awakened in our minds, the order of things can satisfy. Every man’s condition is a solution in hieroglyphic to those inquiries he would put. He acts it as life, before he apprehends it as truth.”
—Ralph Waldo Emerson (1803–1882)