| 1. | The orthonormal frame bundle of a rank " k"
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| 2. | The eigenstates have a physical meaning further than an orthonormal basis.
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| 3. | Let e _ i be a local section of orthonormal bases.
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| 4. | In particular, orthogonal transformations map orthonormal bases to orthonormal bases.
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| 5. | In particular, orthogonal transformations map orthonormal bases to orthonormal bases.
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| 6. | Consider the case of rectangular coordinate systems with orthonormal bases only.
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| 7. | Applying Gram-Schmidt one obtains an orthonormal basis for.
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| 8. | The column vectors of are the eigenvectors of and they are orthonormal.
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| 9. | There is an orthonormal basis of consisting of eigenvectors of.
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| 10. | Let also be the orthonormal matrix consisting of these eigenvectors:
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