By starting from known graded Lie algebras, including Virasoro algebras, new kinds of time-dependent evolution equations are found possessing graded symmetry algebras. The modified KP equations are taken as an illustrative example: new modified KP equations with m arbitrary time-dependent coefficients are obtained possessing symmetries involving m arbitrary functions of time. A particular grade...

Introduction Peer assessment is utilized extensively in digital learning, and many studies have examined the positive influences of online peer assessment on learning (eg, Tseng & Tsai, 2007). However, other studies indicate that this type of activity has negative influences. For example, students may question the fairness of an assessment or disagree with others’ assessments (eg, Kaufman & Sch...

in this paper wave transformation in a submerged sloped breakwater and its hydraulic performance was simulated by developing a numerical model in fortran. the code was established by combining porous flow and a two-phase model using vof method. modified navier-stokes and k-ε equations implemented to the model to simulate the flow in porous media. cut cell method was modified to simulate fluid t...

BACKGROUND The equations provide a rapid and low-cost method of evaluating glomerular filtration rate (GFR). Previous studies indicated that the Modification of Diet in Renal Disease (MDRD), Chronic Kidney Disease-Epidemiology (CKD-EPI) and MacIsaac equations need further modification for application in Chinese population. Thus, this study was designed to modify the three equations, and compare...

This paper is concerned with the extractions of electromagnetic characteristic modes (CMs) for lossless dielectric bodies, which spurious are prone to generate using traditional definition CMs based on Poggio–Miller–Chang–Harrington–Wu–Tsai (PMCHWT) equations. It found that impedance matrix PMCHWT equations cannot distinguish (i) domain body and background (ii) from excitation source was applie...

Published Ahead of Print 27 September 2006. 2006, 80(24):12293. DOI: 10.1128/JVI.01619-06. J. Virol. Katharine N. Bossart and Christopher C. Broder McEachern, L. Ian Pritchard, Bryan T. Eaton, Lin-Fa Wang, Bingham, Kim Halpin, Gail Russell, Diane Green, Jennifer Bruce A. Mungall, Deborah Middleton, Gary Crameri, John Glycoprotein-Based Subunit Vaccine and Protection with a Soluble Feline Model ...

Cabrales, Pedro, Nirmala Devi Kanika, Belur N. Manjula, Amy G. Tsai, Seetharama A. Acharya, and Marcos Intaglietta. Microvascular PO2 during extreme hemodilution with hemoglobin site specifically PEGylated at Cys-93( ) in hamster window chamber. Am J Physiol Heart Circ Physiol 287: H1609–H1617, 2004. First published June 10, 2004; 10.1152/ajpheart.00146.2004.—The oxygen transport capacity of no...

in this paper, we use modified laplace decomposition method to solving initial value problems (ivp) of the second order ordinary differential equations. theproposed method can be applied to linear and nonlinearproblems