Show that Jσ_(ij)D_(ij)=T_(iL)F_(iL˙)=S(AB)E_(AB˙) [Hints: (a) to prove the first equation, use the relationship between F_(iL)˙ and L_(ij), and expand L_(ij) into symmetric and antisymmetric parts. Note the symmetry of σ_(ij). (b) To prove the second equation, first express E_(AB)˙ using F_(iL), then take the time derivative. Substitute into the definition of S_(AB )in index form and simplify.]
Show that Jσ_(ij)D_(ij)=T_(iL)F_(iL˙)=S(AB)E_(AB˙) [Hints: (a) to prove the first equation, use the relationship between F_(iL)˙ and L_(ij), and expand L_(ij) into symmetric and antisymmetric parts. Note the symmetry of σ_(ij). (b) To prove the second equation, first express E_(AB)˙ using F_(iL), then take the time derivative. Substitute into the definition of S_(AB )in index form and simplify.]
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
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Question
Show that
Jσ_(ij)D_(ij)=T_(iL)F_(iL˙)=S(AB)E_(AB˙)
[Hints: (a) to prove the first equation, use the relationship between F_(iL)˙ and L_(ij), and expand
L_(ij) into symmetric and antisymmetric parts. Note the symmetry of σ_(ij).
(b) To prove the
second equation, first express E_(AB)˙ using F_(iL), then take the time derivative. Substitute into
the definition of S_(AB )in index form and simplify.]
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