| 1. | In the corresponding tensor index notation, the above matrix expression is
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| 2. | If is any four-vector, then in tensor index notation
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| 3. | Applying the multi-index notation the Taylor series for several variables becomes
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| 4. | In abstract index notation, the EFE reads as follows:
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| 5. | The function, matrix, and index notations all mean the same thing.
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| 6. | All tensors are written in abstract index notation.
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| 7. | Index notation allows one to display permutations in a way compatible with tensor analysis:
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| 8. | These are expressed in index notation as:
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| 9. | Order the monomials in the variables multi-index notation for monomials in the variables.
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| 10. | Penrose would also introduce abstract index notation.
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