We recall that the Minkowskian geometry possesses basic units of space and time which are invariant under the Poincaré symmetry. We then show that, by comparison, the Riemannian geometry possesses space-time units which are not invariant under the symmetries of the Riemannian line element, thus causing evident physical ambiguities. We therefore introduce a novel formulation of general relativit...

The fundamental idea of embedding a network in metric space is rooted the principle proximity preservation. Nodes are mapped into points with pairwise distance that reflects their network. Popular methods employed either rely on implicit approximations preservation or implement it by enforcing geometry space, thus hindering geometric properties networks may spontaneously exhibit. Here, we take ...

abstract distal pancreatectomy has been a standard technique for pancreatic body and tail lesions for years ago. recently, it is being performed laparoscopically in a perfect manner. there are two common methods for this procedure. one is distal pancreatectomy with splenectomy and the other is distal pancreatectomy with spleen preservation. in patients with splenic vessels involvement, it is no...

A new species of the extinct genus Microphorites Hennig (Dolichopodidae: Microphorinae) is described from a single male preserved in Late Cretaceous (Cenomanian to Santonian) Vendean amber (NW France). Microphorites magaliae n. sp., is mostly characterized by large compound eyes, flagellomere I with base bulbous and abruptly tapering to slender apex, thorax strongly hump-backed, with numerous a...

This thesis presents a new algorithm for material boundary interface reconstruction from data sets containing volume fractions. The reconstruction problem is transformed to a problem that analyzes the dual data set, where each vertex in the dual mesh has an associated barycentric coordinate tuple that represents the fraction of each material present. After constructing the dual tetrahedral mesh...

The presented work of this paper addresses the two shape properties, positivity and monotonicity of irregular surface data. The data is initially triangulated and a side-vertex scheme is adopted to interpolate the data over each triangle. Each boundary and radial curve is a rational function with three parameters facilitating 18 parameters in each triangular patch. The presence of these paramet...

A lattice tetrahedron T ⊂ R3 is a tetrahedron whose four vertices are all in the lattice Z3. Lattice tetrahedra are preserved by those affine linear maps of the form ~v 7→ A~v +~b, such that A is an element of GL(3,Z) and ~b is an element of the lattice Z3. Such affine linear maps are called unimodular maps. We say that a lattice tetrahedron whose barycentre is its only non-vertex lattice point...

Stellation means the extension the faces of a polyhedron until they intersect with the extensions of other faces, such that the symmetry of the original polyhedron is preserved. The set of all possible edges of the stellated forms can be obtained by finding all intersections of the plane of one face with the planes of all other faces. No stellations are possible for the tetrahedron and the cube...