Author: Kayrol Ann B. Vacalares The divergence of a curl is always zero and we can prove this by using Levi-Civita symbol. The Levi-Civita symbol, also called the permutation symbol or alternating symbol, is a mathematical symbol used in particular in tensor calculus. Prove that: = 0 Proof: Let: and To show that: = 0 First, Here are the possible […]

## Archive for June, 2011

### Prove that the Divergence of a Curl is Zero by using Levi Civita

Tuesday, June 28th, 2011Posted in Electrodynamics **|** 3 Comments »

### Proving Vector Formula with Kronecker Delta Function and Levi-Civita Symbol

Tuesday, June 28th, 2011Applying and in Proving the Vector Formula: By: Quennie J. Paylaga Prove: using Kronecker Delta Function and Levi-Civita Symbol. To prove this, we let We can write the expression for in summation form as: where where i, j, l are dummy summation variables. Each of which can be any letter […]

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### Verifying a Vector Identity (BAC-CAB) using Levi-Civita

Monday, June 27th, 2011Author: CHRISTINE ADELLE L. RICO Here is another method of verifying a vector formula using the Levi-Civita symbol. Levi-Civita symbol is a tensor of rank three and is defined by +1 if the indices are in even permutation of , -1 if the indices are in odd permutation, and 0 if any two indices are […]

Posted in Electrodynamics **|** 1 Comment »

### Vector Identity Formula #12 verified by using Levi-Civita

Monday, June 27th, 2011Hi, guys! The following is my solution on verifying these two vector identity formulas. Show that (a) and (b) Solution: Let and (a) since and Thus, and (b) since and Therefore, About Me: I am Yusof-Den Jamasali, an MS Physics student of Mindanao State University – Iligan Institute of Technology. I like painting, and drawing. […]

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### Verifying a vector identity using Levi-Civita

Monday, June 27th, 2011VERIFYING A VECTOR IDENTITY USING LEVI-CIVITA Bianca Rae B. Sambo Hello physics enthusiast! I am BR, a graduate student in Physics in Mindanao State University – Iligan Institute of Technology. Hope my solution will be of use to you. Keep visiting this site! The vector identity to be verified using Levi-Civita is, where we […]

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