In 2009, Tsai et al. proposed reversible image hiding scheme using linear prediction coding and histogram shifting. Tsai et al.’s scheme improved the hiding capacity of Ni et al.’s scheme using the linear prediction coding and two histograms. In the linear prediction coding, however, the basic pixel is not used. If a value of basic pixel is the largest or the smallest in a block, only one histo...

In this paper a new form of the homptopy perturbation method is used for solving oscillator differential equation, which yields the Maclaurin series of the exact solution. Nonlinear vibration problems and differential equation oscillations have crucial importance in all areas of science and engineering. These equations equip a significant mathematical model for dynamical systems. The accuracy o...

in this paper, operational matrices of riemann-liouville fractional integration and caputo fractional differentiation for shifted jacobi polynomials are considered. using the given initial conditions, we transform the fractional differential equation (fde) into a modified fractional differential equation with zero initial conditions. next, all the existing functions in modified differential equ...

One of the most fruitful ways to analyze the effects of discretization error in the numerical solution of a system of differential equations is to examine the “modified equations,” which are equations that are exactly satisfied by the (approximate) discrete solution. These do not actually exist in general but rather are defined by an asymptotic expansion in powers of the discretization paramete...

Technology (MIT) Mediated Matter Group is honing its research into robotic swarm printing by focusing its efforts on material sophistication, or ‘tunability’, and communication or coordination between fabrication units. Here, the group’s Neri Oxman, Jorge Duro-Royo, Steven Keating, Ben Peters and Elizabeth Tsai illustrate this by describing three case studies that investigate robotically contro...

CHIEN-CHEN LU,1 SHIOW-CHWEN TSAI,1 SHYI-WU WANG,2 CHING-LIN TSAI,3 CHIN-PANG LAU,1 HSI-CHANG SHIH,1 YEN-HAO CHEN,1 YU-CHUNG CHIAO,1 CHARLIE LIAW,1 AND PAULUS S. WANG1 1Department of Physiology, School of Life Science, National Yang-Ming University, and 3Department of Orthopaedic Surgery, School of Medicine, National Taiwan University, Taipei, and 2Department of Physiology, Chang-Gung University...

In present paper, vibration of Nano FGM plate based on modified couple stress and First Order Shear Deformation Theories (FSDT) under moving load has been developed. Basic equations and linear strains are introduced by first order shear deformation theory and Mori Tanaka’s model is used for the plate. The module of elasticity and density are assumed to vary only through thickness of plate. Gove...

a modified f-expansion method to find the exact traveling wave solutions of  two-component nonlinear partial differential equations (nlpdes) is discussed. we use this method to construct many new solutions to the nonlinear whitham-broer-kaup system (1+1)-dimensional. the solutions obtained include jacobi elliptic periodic wave solutions which exactly degenerate to the soliton solutions, triangu...

Bycatch and Foraging Ecology of Sea Turtles in the Eastern Pacific by Shaleyla Kelez Sara Department of Environment Duke University Date:_______________________ Approved: ___________________________ Larry B. Crowder, Supervisor ___________________________ Jeffrey A. Seminoff ___________________________ Patrick N. Halpin ___________________________ Scott A. Eckert An abstract of a dissertation s...