There is a useful relationship between permutation symbol and Kronecker delta, given in Eq. (2). Verify this equation by calculating (Eijklmk) and (diðjm – dimỗjl) for possible combinations of indices. (Hint: for instance, when i = j, clearly Eijklmk 0 because Eijk = 0; what are the possible values of (diðjm – dimỗji) when i = j? Perform similar calculation for other combinations.) =

There is a useful relationship between permutation symbol and Kronecker delta, given in Eq. (2). Verify this equation by calculating (Eijklmk) and (diðjm – dimỗjl) for possible combinations of indices. (Hint: for instance, when i = j, clearly Eijklmk 0 because Eijk = 0; what are the possible values of (diðjm – dimỗji) when i = j? Perform similar calculation for other combinations.) =

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Properties of Pure Substances

A substance with fixed chemical composition throughout is called a pure substance like water, air, and nitrogen. A pure substance does not have to be a single element or compound. A mixture of two or more phases of a pure substance is also a pure substance as long as the chemical composition is the same for all phases. These substances mainly have a constant/ uniform composition. The substances also have fixed boiling and melting points. A pure substance takes part in a chemical reaction to form predictable products.

Question

There is a useful relationship between permutation symbol and Kronecker delta, given in Eq. (2).
Verify this equation by calculating (Eijklmk) and (dud jm-dimdji) for possible combinations of indices.
(Hint: for instance, when i = j, clearly ijklmk = 0 because Eijk = 0; what are the possible values of
(dildjm – dim§ji) when i = j? Perform similar calculation for other combinations.)
Eijklmk = dilojm – dimdjl
(2)

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