Synchronization in the networks of coupled oscillators is a widely studied topic in different areas. It is wellknown that synchronization occurs if the connectivity of the network dominates heterogeneity of the oscillators. Despite the extensive study on this topic, the quest for sharp closed-form synchronization tests is still in vain. In this paper, we present an algorithm for finding the Tay...

OF THE DISSERTATION Connections with Bohmian Mechanics by James Oliver Taylor Dissertation Director: Sheldon Goldstein We begin by formulating non-relativistic Bohmian mechanics for theories in which the wave functions are sections of a Hermitian vector bundle over a Riemannian manifold. We give geometric interpretations of the Pauli equation and the Dirac equation. We then explain the influenc...

The extended Kalman filter (EKF) is the nonlinear model of a Kalman filter (KF). It is a useful parameter estimation method when the observation model and/or the state transition model is not a linear function. However, the computational requirements in EKF are a difficulty for the system. With the help of cognition-based designation and the Taylor expansion method, a novel algorithm is propose...

This paper studies an underwater positioning algorithm based on the interactive assistance of a strapdown inertial navigation system (SINS) and LBL, and this algorithm mainly includes an optimal correlation algorithm with aided tracking of an SINS/Doppler velocity log (DVL)/magnetic compass pilot (MCP), a three-dimensional TDOA positioning algorithm of Taylor series expansion and a multi-sensor...

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Fog computing domain plays a prominent role in supporting time-delicate applications, which are associated with smart Internet of Things (IoT) services, like healthcare and city. However, cloud is capable standard for IoT data processing owing to the high latency restriction cloud, it incapable satisfying needs time-sensitive applications. The resource provisioning allocation process fog-cloud ...

We present an algorithm for the numerical solution of ordinary differential equations by random enumeration Butcher trees used in implementation Runge–Kutta method. Our Monte Carlo scheme allows direct evaluation ODE at any given time within a certain interval, without iteration through multiple steps. In particular, this approach does not involve discretization step size, and it require trunca...

This paper compares the complexity of three different fixed polarity generalizations of Reed-Muller canonical form to multiple-valued logic: the Galois Field-based expansion introduced by Green and Taylor, the Reed-MullerFourier form of Stanković and Moraga, and the expansion over addition modulo , minimum and the set of all literal operators introduced by the author and Muzio. An algorithm for...