affine 1) I claim these finite open sets are affine schemes.2) A more mathematically motivated account of affine connections. more affine sentences affine algebraic 1) Thus it is an affine algebraic variety.2) An irreducible affine algebraic set is also called an affine variety. more affine algebraic sentences affine connection 1) A more mathematically motivated account of affine connections .2) An affine connection defines a notion of development of curves. more affine connection sentences affine frame 1) Four non-coplanar points in the scene define this affine frame .2) Visual tracking routines initialized on the feature points that define the affine frame provide the location values. more affine frame sentences affine geometry 1) In mathematics, affine geometry is the study of parallel lines.2) Projective geometry is less restrictive than either Euclidean geometry or affine geometry . more affine geometry sentences affine group 1) Two affine Coxeter groups can be multiplied together.2) The affine group has a unitary irreducible representation on the Hilbert space __FORMULA__. more affine group sentences affine model 1) We integrate this returnforecasting factor into an affine model .2) Fortunately, the structure of the affine model allows a much simpler understanding. more affine model sentences affine plane 1) Rudimentary affine planes are constructed from ordered pairs taken from a ternary ring.2) The Euclidean plane and the Moulton plane are examples of infinite affine planes . more affine plane sentences affine point 1) Harris affine region points tend to be small and numerous.2) The set of affine points is given by: __FORMULA__. more affine point sentences affine scheme 1) I claim these finite open sets are affine schemes .2) Sometimes other algebraic sites replace the category of affine schemes . more affine scheme sentences affine space 1) Every linear space is also an affine space .2) A small virtual sphere was displayed at this location in affine space . more affine space sentences affine transformation 1) Non-rigid transformations include affine transformations such as scaling and shear mapping.2) For more information, consult the Wikipedia article on affine transformations . more affine transformation sentences affine variety 1) We shall show it is locally an affine variety .2) Thus it is an affine algebraic variety . more affine variety sentences affines 1) They are affines , allied to us by marriage.2) Fans, in other words, are affines of media property and of other fans. more affines sentences

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