The study of affine hypersurfaces occupies a central role in differential geometry, providing deep insights into both the intrinsic and extrinsic properties of submanifolds in affine spaces. This ...

Self-affine tiles and fractal geometry form a rich field where geometric precision meets the complexity of nature’s form. At its core, the subject examines how self-affine tiles—constructed via affine ...

This is a preview. Log in through your library . Abstract Necessary and sufficient conditions are given for a lattice L to be the lattice of flats of an affine space of arbitrary (possibly infinite) ...

This is a preview. Log in through your library . Journal Information PNAS is the world's most-cited multidisciplinary scientific serial. It publishes high-impact research reports, commentaries, ...

During arthrodesis of the shoulder for severe arthritis of the shoulder joint, a surgeon set the patient's shoulder position to 30 degrees flexion, 20 degrees abduction, and 40 degrees internal ...