We present a microscopic model for light-cone fluctuations in vacuo, which incorporates a treatment of quantum-gravitational recoil effects induced by energetic particles. Treating defects in space-time as solitons in string theory, we derive an energy-dependent refractive index and a stochastic spread in the arrival times of mono-energetic photons due to quantum diffusion through space-time fo...

Ultimate limits of an open pit, which define its size and shape at the end of the mine’s life, is the pit with the highest profit value. A number of algorithms such as floating or moving cone method, floating cone method II and the corrected forms of this method, the Korobov algorithm and the corrected form of this method, dynamic programming and the Lerchs and Grossmann algorithm based on grap...

Abstract Unitary dynamics with a strict causal cone (or “light cone”) have been studied extensively, under the name of quantum cellular automata (QCAs). In particular, QCAs in one dimension completely classified by an index theory. Physical systems often exhibit only approximate cones; Hamiltonian evolutions on lattice satisfy Lieb–Robinson bounds rather than locality. This motivates us to stud...

Method: Bilateral mandibular premolars of 6 dogs were extracted, and after 12 weeks each dog received 8 Morse-cone connection implants immediately loaded. Four experimental groups were constituted: subcrestal with interimplant distance of 2mm and 3mm; and equicrestal with interimplant distance of 2 mm and 3 mm. After eight weeks, the animals were euthanized, the retrieved specimens were prepare...

—The l 1-norm minimization problem plays an important role in the compressed sensing (CS) theory. We present in this letter an algorithm for solving the problem of l 1 Index Terms—L-norm minimization for quaternion signals by converting it to second-order cone programming. An application example of the proposed algorithm is also given for practical guidelines of perfect recovery of quaternion s...

volume estimation of most agricultural products using mathematical methods is not accurate because of their irregular shape. an alternative method is image processing, which can be used in continuous sorting machines. the objective of this study is to find a practical method for volume estimation of potatoes using image processing. fifty potatoes (marfona variety) were selected as experimental ...

in this paper, we investigate the continuity of linear and sublinear correspondences defined on cones in normed spaces. we also generalize some known results for sublinear correspondences.

In this paper, using Clarke’s generalized directional derivative and dI-invexity we introduce new concepts of nonsmooth K-α-dI-invex and generalized type I univex functions over cones for a nonsmooth vector optimization problem with cone constraints. We obtain some sufficient optimality conditions and Mond-Weir type duality results under the foresaid generalized invexity and type I cone-univexi...

In this paper, we prove some properties of algebraic cone metric spaces and introduce the notion of algebraic distance in an algebraic cone metric space. As an application, we obtain some famous fixed point results in the framework of this algebraic distance.