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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![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad0d55fe-d83b-4711-86a1-cee8ecea510f%2F97d1e1f6-e09c-4d7b-8694-5f79bcfaa4ee%2Fx30olj_processed.png&w=3840&q=75)
Transcribed Image Text: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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