A new elliptical invisible cloak is proposed using a coordinate transformation in the elliptical-cylindrical coordinate system, which crushes the cloaked object to a line segment instead of a point. The elliptical cloak is reduced to a nearly-circular cloak if the elliptical focus becomes very small. The advantage of the proposed invisible cloak is that none of the parameters is singular and th...

Recent advances in trapped ion technology have rapidly accelerated efforts to construct a near-term, scalable quantum computer. Micro-machined electrodes in silicon are expected to trap hundreds of ions, each representing quantum bits, on a single chip. We find, however, that scalable systems must be composed of multiple chips and we explore inter-chip communication technologies. Specifically, ...

A graph is 2-stratified if its vertex set is partitioned into two classes, where the vertices in one class are colored red and those in the other class are colored blue. Let F be a 2-stratified graph rooted at some blue vertex v. An F -coloring of a graph G is a red-blue coloring of the vertices of G in which every blue vertex v belongs to a copy of F rooted at v. The F -domination number γF (G...

Abstract The polishing efficiency of the soft abrasive flow (SAF) method is low, which not in line with concept carbon emission reduction industrial production. To address above issue, a two-phase fluid multi-physics modeling for ultrasonic-assisted SAF processing proposed. acoustics-fluid coupling mechanic model based on realizable k - ε and Helmholtz equation built to analyze cavitation effec...

A companionship argument is used to give a constructive geometric proof of a key result concerning the knot homomorph problem: Given elements p and A in a group G, is there a knot K in S3 and a surjective representation p : n,(S3 K) + G, such that p(m) = y and p( [) = A, where m and I are the meridian and longitude of K. The result presented here is that if for some p that normally generates G,...

It is well-known that a system with linear structure subjected to bounded control inputs for optimal closed-loop control yields nonlinear feedback of discontinuous bang-bang type. This paper investigates new types of nonlinear feedback in the case of optimal impulsive closedloop control which may naturally generate discontinuous trajectories. The realization of such feedback under impulsive inp...

A version of the Church-Turing Thesis states that every effectively realizable physical system can be defined by Turing Machines (‘Thesis P’); in this formulation the Thesis appears an empirical, more than a logico-mathematical, proposition. We review the main approaches to computation beyond Turing definability (‘hypercomputation’): supertask, non-well-founded, analog, quantum, and retrocausal...

A. NONLINEAR MAP INTERVAL ESTIMATION We shall consider two problems related to the equations specifying the nonlinear interval estimator. In the first part, we shall discuss a method for solving these equations which involves the optimum nonlinear realizable filter. In the second part, we shall present a technique for determining the optimum nonlinear realizable filter from the equations specif...

Although self-modifying code has been shyed away from due to its complexity and discouragement safety issues, it nevertheless provides for a very unique obfuscation method different perspective on the relationship between data code.  The generality of von Neumann architecture is hardly realized by today's processor models.  A code-only model shown where every instruction merely modifies other i...