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