| 1. | This description then tells us which properties are'affine '.
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| 2. | The affine concept of parallelism forms an equivalence relation on lines.
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| 3. | These are categorized as " Twisted affine " diagrams.
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| 4. | Piecewise linear functions may be defined on affine linear functions .)
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| 5. | Curvature and torsion are the main invariants of an affine connection.
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| 6. | There is a distinguished derivation of the affine Lie algebra defined by
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| 7. | Examples include linear transformations and affine transformations, rotations, matrices.
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| 8. | Where \ cdot is the affine action of the Weyl group.
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| 9. | As usual, the affine construction then glues to arbitrary varieties.
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| 10. | This is an example of non-linear affine transformation ).
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