The Gillespie τ-Leaping Method is an approximate algorithm that is faster than the exact Direct Method (DM) due to the progression of the simulation with larger time steps. However, the procedure to compute the time leap τ is quite expensive. In this paper, we explore the acceleration of the τ-Leaping Method using Graphics Processing Unit (GPUs) for ultra-large networks (>0.5e(6) reaction chann...

Land is a kind of basic resources and of great importance to the survival and development of human beings. Due to the conflict between the limited amount of land and the unlimited development of human beings, land surely plays a significant role in national security and social development. The academic circle has introduced the social stability price to the pricing system of farmland, which ref...

In this contribution we study the statistical properties of a number of closed-loop identiication methods and parameterizations. A focus will be on asymptotic variance expressions for these methods and by studying the asymptotic variance for the parameter vector estimates we show that indirect methods fail to give better accuracy than the direct method.

This article briefly explores the twelve principles of language teaching and learning formulated by H. Douglas Brown and also the underlying principles of some of the earlier grammar-based methods to calculate how consistent these principles are with those of Brown’s. The grammarbased approaches chosen for evaluation are the Grammar Translation Method, the Direct Method, the Audiolingual Method...

This paper presents the solution of the constrained Sylvester equation associated to linear descriptor systems. This problem has been recently studied in [1], where sufficient conditions for the existence of the solution are given. In the present paper, a simple and direct method is developed to solve this problem. This method shows that the conditions given in [1] are necessary and sufficient.

Endodontically treated molars with almost total coronal destruction may be salvageable by using multiple posts in divergent canals. The fabrication of dowel and core for multirooted teeth can be a vexing problem, especially when there is minimal coronal dentin. A number of methods have been suggested for making a cast dowel and core using two or more of the canals to increase retention of the p...

Visualization of fourth-order tensors from solid mechanics has not been explored in depth previously. Challenges include the large number of components (3x3x3x3 for 3D), loss of major symmetry and loss of positive definiteness (with possibly zero or negative eigenvalues). This paper presents a decomposition of fourth-order tensors that facilitates their visualization and understanding. Fourth-o...