On a general weight of trees

1984 ◽  
pp. 109-120 ◽  
Author(s):  
R. Kemp
Keyword(s):  
General Weight

scholarly journals Nonexistence for hyperbolic problems on Riemannian manifolds1

2020 ◽  
Vol 120 (1-2) ◽  
pp. 87-101
Author(s):  
Dario D. Monticelli ◽  
Fabio Punzo ◽  
Marco Squassina
Keyword(s):  
Euclidean Space ◽  
Riemannian Manifolds ◽  
Wave Operator ◽  
Existence Of Solutions ◽  
Necessary Conditions ◽  
Hyperbolic Problems ◽  
Power Nonlinearity ◽  
General Weight ◽  
Noncompact Riemannian Manifolds ◽  
General Weight Function

We establish necessary conditions for the existence of solutions to a class of semilinear hyperbolic problems defined on complete noncompact Riemannian manifolds, extending some nonexistence results for the wave operator with power nonlinearity on the whole Euclidean space. A general weight function depending on spacetime is allowed in front of the power nonlinearity.

scholarly journals THE CHOMSKY-SCHÜTZENBERGER THEOREM FOR QUANTITATIVE CONTEXT-FREE LANGUAGES

2014 ◽  
Vol 25 (08) ◽  
pp. 955-969 ◽  
Author(s):  
MANFRED DROSTE ◽  
HEIKO VOGLER
Keyword(s):  
Algebraic Structure ◽  
Weighted Automata ◽  
General Weight ◽  
Context Free ◽  
Pushdown Automata ◽  
Recognizable Language ◽  
Weight Structures

Weighted automata model quantitative aspects of systems like the consumption of resources during executions. Traditionally, the weights are assumed to form the algebraic structure of a semiring, but recently also other weight computations like average have been considered. Here, we investigate quantitative context-free languages over very general weight structures incorporating all semirings, average computations, lattices. In our main result, we derive the Chomsky-Schützenberger Theorem for such quantitative context-free languages, showing that each arises as the image of the intersection of a Dyck language and a recognizable language under a suitable morphism. Moreover, we show that quantitative context-free languages are expressively equivalent to a model of weighted pushdown automata. This generalizes results previously known only for semirings. We also investigate under which conditions quantitative context-free languages assume only finitely many values.

An Approximation of the Improved Rouse Equation

2012 ◽  
Vol 256-259 ◽  
pp. 2480-2485
Author(s):  
Chen Cheng ◽  
Zhi Yao Song ◽  
Yi Gang Wang ◽  
Jin Shan Zhang
Keyword(s):  
Experimental Data ◽  
Diffusion Coefficients ◽  
Diffusion Theory ◽  
Suspended Sediment Transport ◽  
Linear Diffusion ◽  
General Weight ◽  
Equilibrium Profiles ◽  
Erodible Beds ◽  
Whole Water ◽  
Better Than

Rouse equation, which was derived from the diffusion theory, is well known in the study of steady state suspended sediment transport over erodible beds. Although this equation being regarded as Rouse law could be applied effectively, it is unrealistic that the concentration at the free surface is always zero. In addition, for deriving the depth-averaged concentration, the numerical integration or the table lookup has to be performed. Bose and Dey[1] improved the Rouse equation using a modified sediment diffusivity in order to overcome the zero value concentration, but this equation can not be integrated analytically yet. In this paper, according to two equilibrium profiles respect to constant and linear diffusion coefficients, an approximate solution of the improved Rouse equation is given using a general weight-averaged method in order to be integrated analytically. Through verification with experimental data, the results show that the approximation of the improved Rouse equation behave generally better than itself, as well as the Rouse equation and van Rijn equation over the whole water depth. It is revealed that, nevertheless some empirical, this approximation is reasonable, and has higher accuracy. Moreover it can be integrated analytically.

Modification of Student Attitudes Toward Disabled Peers

1988 ◽  
Vol 5 (1) ◽  
pp. 44-48 ◽  
Author(s):  
C. Craig Stewart
Keyword(s):  
University Students ◽  
Student Attitudes ◽  
Weight Training ◽  
Disabled Persons ◽  
Analysis Of Covariance ◽  
Attitudes Toward Disabled ◽  
Disabled Students ◽  
Training Class ◽  
General Weight ◽  
The Disabled

This study set out to determine the effects of two disabled university students on the attitudes of students in a weight training class. University students enrolled in two general weight training classes agreed to participate in this study. They were administered the Attitude Toward Disabled Persons scale at the start and finish of a university quarter (10 weeks). Two physically disabled university students agreed to be integrated into one of the classes. T tests and an analysis of covariance revealed a significant improvement in the attitudes of students who were in the weight training class with the disabled students. Implications for systematic practicum experience for majors in areas that would have future contact with disabled populations was discussed. Peer interaction appears to have a positive significant effect on the attitudes of nondisabled students toward disabled individuals.

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