| 31. | In the affine plane, a line extends in two opposite directions.
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| 32. | They divided the 219 affine space groups into reducible and irreducible groups.
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| 33. | On any manifold of positive dimension there are infinitely many affine connections.
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| 34. | The field ? transforms as an affine representation of the gauge group.
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| 35. | See homogenous coordinates and affine transformations below for further explanation.
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| 36. | To represent affine transformations with matrices, we can use homogeneous coordinates.
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| 37. | The most widely used gap penalty function is the affine gap penalty.
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| 38. | Archetypical resolvable 2-designs are the finite affine planes.
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| 39. | Therefore, SIFT descriptors are invariant to minor affine changes.
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| 40. | One can check that any affine involution in fact has this form.
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