A space filling minimal surface is defined tu be any embedded minimal surface without boundary with the property (haï the area and genus enclosed by any large spherical

We prove uniqueness of the minimal enclosing ellipsoid with respect to strictly eigenvalue convex size functions. Special examples include the classic case of minimal volume ellipsoids (Löwner ellipsoids), minimal surface area ellipsoids or, more generally, ellipsoids that are minimal with respect to quermass integrals.

This lecture introduces the Jordan canonical form of a matrix — we prove that every square matrix is equivalent to a (essentially) unique Jordan matrix and we give a method to derive the latter. We also introduce the notion of minimal polynomial and we point out how to obtain it from the Jordan canonical form. Finally, we make an encounter with companion matrices. 1 Jordan form and an applicati...

Assessment of nasal airway is helpful in understanding nasal breathing function. Acoustic rhinometry is one of the most commonly-used objective measurements of nasal airway. This test has the ability to measure the volume and the cross-sectional area of the nose in different distances. It also determines the site of minimal cross-sectional area. These variables are different in various races. D...

The rational design of bone-substituting biomaterials is relatively complex because they should meet a long list requirements for optimal performance. Meta-biomaterials are micro-architected materials that hold great promise meeting those as offer unique combination mechanical, mass-transport, and biological properties. There are, however, inherent couplings between the different types properti...