in this paper, we study l1 -solutions of the following two-direction poly-scale refinement equationwe prove that the vector space of all l1 -solutions of the above equation is at most one-dimensional andconsists of compactly supported functions of constant sign. we also show that any- l1 solution of the aboveequation is either positive or negative on its support under a special assumption. with...

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...

 Based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the Korteweg-de Vries (KdV) equation are first constructed by the known Darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude d...

After locating and highlighting erroneous sections in the recognizer hypothesis, misrecognitions are corrected. The spoken hypothesis correction method uses N-Best lists for both the initial utterance and the respo-ken section. The N-Best list for the highlighted section of the initial utterance is rescored using scores from decoding the secondary utterance. Depending on the quality of the N-Be...

Why does a raw egg swell or shrink when placed in different solutions? Chapter Objectives Define solution, solvent, solute and colligative properties and use them in calculations to solve for molality, mole fraction, weight percent and ppm Explain the differences between saturated, unsaturated and supersaturated solutions, miscible and immiscible Use lattice energy and enthalpy of hydration to ...

Digital innovations and their applications in healthcare have changed the current scenario of delivering services storing data. Cloud computing is one such technological adjunct that has capability volumes medical data can be accessed anytime through internet from anywhere. Today all smart devices health related apps designed for lifestyle changes monitoring problems use cloud-based programs. T...