the highest success rates for any orthopedic medical restorative process. According to Scott D. Ganz, DMD, Maxillofacial Prosthodontist, these success rates perhaps explain one of the barriers to clinicians ordering more computed tomography (CT) scans for prospective implant patients. He explains, however, that “CT imaging can help clinicians improve all aspects of implant reconstruction, inclu...

Concerning with the topics of fuzzy decision processes, a brief survey on ordering of fuzzy numbers on R is presented and an extension to that of fuzzy sets(numbers) on Rn are considered. This extension is a pseudo order 4 K de ned by a non-empty closed convex cone K and characterized by the projection into its dual cone K. Especially a structure of the lattice is presented on the class of rect...

Starting with twisted bilayer graphene, graphene-based moir\'e materials have recently been established as a new platform for studying strong electron correlations. In this paper, we study graphene monolayers on trilayer and demonstrate that system can host flat bands when the twist angle is close to magic-angle of 1.16$^\circ$. When monolayer ABA are not isolated, but intersected by Dirac cone...

In spacetime physics any set C of events—a causal set—is taken to be partially ordered by the relation ≤ of possible causation: for p, q ∈ C, p ≤ q means that q is in p’s future light cone. In her groundbreaking paper The internal description of a causal set: What the universe looks like from the inside, Fotini Markopoulou proposes that the causal structure of spacetime itself be represented by...

To examine the potential contribution of first-stage photoreceptor adaptation to color constancy, photon catches from 337 natural objects illuminated with phases of daylight and tungsten light were calculated for a model human fovea. The rank ordering of these photon catches within each cone photoreceptor class was examined. When first-stage adaptation is modeled using multiplicative or subtrac...

This paper attempts to extend the notion of duality for convex cones, by basing it on a prescribed conic ordering and a fixed bilinear mapping. This is an extension of the standard definition of dual cones, in the sense that the nonnegativity of the inner-product is replaced by a pre-specified conic ordering, defined by a convex cone D, and the inner-product itself is replaced by a general mult...

In this work, we propose an inexact projected gradient-like method for solving smooth constrained vector optimization problems. In the unconstrained case, we retrieve the steepest descent method introduced by Graña Drummond and Svaiter. In the constrained setting, the method we present extends the exact one proposed by Graña Drummond and Iusem, since it admits relative errors on the search dire...