This letter presents an almost sure convergence of the zeroth-order mirror descent (ZOMD) algorithm. The algorithm admits non-smooth convex functions and a biased oracle which only provides noisy function value at any desired point. We approximate subgradient objective using Nesterov’s Gaussian Approximation (NGA) with certain alternations suggested by some practical applications. prove iterate...

Design and performance of a coplanar waveguide (CPW) bandpass filter (BPF) using Composite Right/Left-handed (CRLH) Zeroth-order Resonators have been studied. The Bloch analysis is applied based on the S parameters to derive the characteristics of the eigenmodes (Bloch modes), from which the right/left-handed frequency band and the zeroth-order resonant frequency are clearly determined. Then, t...

In this work the usage of a composite right/lefthanded (CRLH) metamaterial transmission line resonator as a transmit/receive coil for 7 Tesla magnetic resonance imaging (MRI) is investigated. On the basis of zeroth-order resonant antennas (ZORAs) a zeroth-order resonant coil (ZORC) was designed. Due to a constant current distribution along the element, a homogenous magnetic field is achieved in...

We study string propagation in an anisotropic, cosmological background. We solve the equations of motion and the constraints by performing a perturbative expansion of the string coordinates in powers of c, the world-sheet speed of light. To zeroth order the string is approximated by a tensionless string (since c is proportional to the string tension T ). We obtain exact, analytical expressions ...

A novel composite right/left-handed (CRLH) coplanar waveguide (CPW)-fed zeroth-order resonator antenna is proposed. The shorted CRLH transmission line exhibits zeroth-order resonance at 2 GHz and operates with narrow bandwidth. The dispersion analysis is also carried out and presented in this article. The proposed antenna has been fabricated and tested. Omnidirectional radiation pattern with a ...

In this paper, we propose and analyze zeroth-order stochastic approximation algorithms for nonconvex convex optimization, with a focus on addressing constrained high-dimensional setting, saddle point avoiding. To handle first generalizations of the conditional gradient algorithm achieving rates similar to standard using only information. facilitate optimization in high dimensions, explore advan...

A corotational finite element method combined with floating frame method and a numerical procedure is proposed to investigate large steady-state deformation and infinitesimal-free vibration around the steady-state deformation of a rotating-inclined Euler beam at constant angular velocity. The element nodal forces are derived using the consistent second-order linearization of the nonlinear beam ...