Elovicb, two-constant, parabolic diffusion, exponential, second-order, first-order and zero-order equations were used to describe the kinetic characteristics of potassium desorption from six paddy soils df Zhejiang Pr...Elovicb, two-constant, parabolic diffusion, exponential, second-order, first-order and zero-order equations were used to describe the kinetic characteristics of potassium desorption from six paddy soils df Zhejiang Province in a constant electric field (44.4 V/ cm) of EUF. Results showed that the second-order and Elovich equations could describe the potassium desorption kinetics best, as evidenced by the highest correlation coefficients (r) and the lowest standard errors (SE). The first-order, two-constant and parabolic diffusion equations also described the K desorption kinetics well, as showed by the relatively high correlation coefficients and relatively low standard errors. The zero-order equation did not describe the K desorption satisfactorily with a relatively low correlation coefficient and relatively high standard error. However, the exponential equation could not be used to describe the K desorption kinetics, due to the lowest correlation coefficient and the highest standard error.展开更多
In this article, we first introduce g-expectation via the solution of backward stochastic differential equation（BSDE in short） with non-Lipschitz coefficient, and give the properties of g-expectation, then we establ...In this article, we first introduce g-expectation via the solution of backward stochastic differential equation（BSDE in short） with non-Lipschitz coefficient, and give the properties of g-expectation, then we establish a general converse comparison theorem for backward stochastic differential equation with non-Lipschitz coefficient.展开更多
For a strongly degenerate parabolic equation, we first use the results of Ph. Blanc[1] to get that the Neumann problem may not have a global classical solution. The reason is that the gradients of some local classical...For a strongly degenerate parabolic equation, we first use the results of Ph. Blanc[1] to get that the Neumann problem may not have a global classical solution. The reason is that the gradients of some local classical solutions blow up in finite time. And under some conditions, we get the global integral solution by the use of semigroup. Then, we give a sufficient condition under which the Neumann problem has a global classical solution. Finally. we study the asymptotic behaviour of the classical solution and prove that the solution converges to the mean of the initial value.展开更多
In order to pursue the ideal criterion of ＂faithfulness, expressiveness, and elegance＂ initiated by the famous translator YAN-fu in translation and ＂accuracy, smoothness, and quickness＂ in interpretation in China,...In order to pursue the ideal criterion of ＂faithfulness, expressiveness, and elegance＂ initiated by the famous translator YAN-fu in translation and ＂accuracy, smoothness, and quickness＂ in interpretation in China, people have summarized some techniques to help the process. And generally speaking, trainers or teachers will introduce those techniques to the students respectively. Yet in this paper firstly, by taking examples from some of the text books and a few famous conferences in China, it makes a comparative analysis of the different techniques in translation and interpretation. The comparative analysis explores the most three common techniques： amplification, omission, and repetition in translation and interpretation, and draws the conclusion that translation is more formal, more rigorous, while interpretation is comparetively simple and flexiable. Based on the above analysis, then the paper suggests that the comparative analysis approaches should be used during the teaching process instead of the traditional one-way teaching.展开更多
The exhaust smoke dispersion for a generic frigate is investigated numerically through the numerical solution of the governing fluid flow, energy, species and turbulence equations. The main objective of this work is t...The exhaust smoke dispersion for a generic frigate is investigated numerically through the numerical solution of the governing fluid flow, energy, species and turbulence equations. The main objective of this work is to obtain the effects of the yaw angle velocity ratio and buoyancy on the dispersion of the exhaust smoke The numerical method is based on the fully conserved control-volume representation of the fully elliptic Navier-Stokes equations. Turbulence is modeled using a two-equation （k-ε） model The flow visualization tests using a 1/100 scale model of the frigate in the wind tunnel were also carried out to determine the exhaust plume path and to validatc the computational results. The results show that down wash phenomena occurs for the yaw angles between ψ=10° and 20°. The results with different exhaust gas temperatures show that the buoyancy effect increases with the increasing of the exhaust gas temperature. However, its effect on the plume rise is less significant in comparison with its momentum. A good agreement between the predictions and experiment results is obtained.展开更多
In this paper, the function characteristics of instruction are introduced, and the focus is on contact compare instruction and the characteristics of the transfer instructions. With the traffic lights control as an ex...In this paper, the function characteristics of instruction are introduced, and the focus is on contact compare instruction and the characteristics of the transfer instructions. With the traffic lights control as an example, this paper proposes the application of contact compare instruction and transfer instruction to program design method, making the program structure compact and statement concise. The control requirements are easily completed. Key words： Function Instruction; Programming; Traffic Lights; Contact Compare Instruction; Transfer展开更多
Anticipated backward stochastic differential equations, studied the first time in 2007, are equations of the following type:{-dY t = f(t1, Y t1 , Z t1 , Y t+δ(t) , Z t+ζ(t) )dt Z t dB t1 , t ∈ [0, T ], Y t = ξ t1 ...Anticipated backward stochastic differential equations, studied the first time in 2007, are equations of the following type:{-dY t = f(t1, Y t1 , Z t1 , Y t+δ(t) , Z t+ζ(t) )dt Z t dB t1 , t ∈ [0, T ], Y t = ξ t1 , t ∈ [T, T + K], Z t = η t1 , t ∈ [T, T + K].In this paper, we give a necessary and sufficient condition under which the comparison theorem holds for multidimensional anticipated backward stochastic differential equations with generators independent of the anticipated term of Z.展开更多
This paper investigates some important properties of Z, the martingale integrant of the backward stochastic differential equations, which is the second process of the solution. These include the backward stochastic vi...This paper investigates some important properties of Z, the martingale integrant of the backward stochastic differential equations, which is the second process of the solution. These include the backward stochastic viability property, bounded property and the comparison theorem. To explain the theoretical results, the authors apply them to study a financial contingent claim pricing problem. The replication portfolio process can be characterized clearly.展开更多
文摘Elovicb, two-constant, parabolic diffusion, exponential, second-order, first-order and zero-order equations were used to describe the kinetic characteristics of potassium desorption from six paddy soils df Zhejiang Province in a constant electric field (44.4 V/ cm) of EUF. Results showed that the second-order and Elovich equations could describe the potassium desorption kinetics best, as evidenced by the highest correlation coefficients (r) and the lowest standard errors (SE). The first-order, two-constant and parabolic diffusion equations also described the K desorption kinetics well, as showed by the relatively high correlation coefficients and relatively low standard errors. The zero-order equation did not describe the K desorption satisfactorily with a relatively low correlation coefficient and relatively high standard error. However, the exponential equation could not be used to describe the K desorption kinetics, due to the lowest correlation coefficient and the highest standard error.
基金Foundation item： Supported by the＇Natured Science Foundation of the Edudation Department of Jiangsu Province（06KJD110092）
文摘In this article, we first introduce g-expectation via the solution of backward stochastic differential equation（BSDE in short） with non-Lipschitz coefficient, and give the properties of g-expectation, then we establish a general converse comparison theorem for backward stochastic differential equation with non-Lipschitz coefficient.
文摘For a strongly degenerate parabolic equation, we first use the results of Ph. Blanc[1] to get that the Neumann problem may not have a global classical solution. The reason is that the gradients of some local classical solutions blow up in finite time. And under some conditions, we get the global integral solution by the use of semigroup. Then, we give a sufficient condition under which the Neumann problem has a global classical solution. Finally. we study the asymptotic behaviour of the classical solution and prove that the solution converges to the mean of the initial value.
文摘In order to pursue the ideal criterion of ＂faithfulness, expressiveness, and elegance＂ initiated by the famous translator YAN-fu in translation and ＂accuracy, smoothness, and quickness＂ in interpretation in China, people have summarized some techniques to help the process. And generally speaking, trainers or teachers will introduce those techniques to the students respectively. Yet in this paper firstly, by taking examples from some of the text books and a few famous conferences in China, it makes a comparative analysis of the different techniques in translation and interpretation. The comparative analysis explores the most three common techniques： amplification, omission, and repetition in translation and interpretation, and draws the conclusion that translation is more formal, more rigorous, while interpretation is comparetively simple and flexiable. Based on the above analysis, then the paper suggests that the comparative analysis approaches should be used during the teaching process instead of the traditional one-way teaching.
基金the financial support received from the Scientific Research Projects Office of Istanbul Technical University,stanbul, Turkey for the project titled as ‘Numerical and Experimental Investigation of Exhaust Smoke Dispersion for Naval Ships’
文摘The exhaust smoke dispersion for a generic frigate is investigated numerically through the numerical solution of the governing fluid flow, energy, species and turbulence equations. The main objective of this work is to obtain the effects of the yaw angle velocity ratio and buoyancy on the dispersion of the exhaust smoke The numerical method is based on the fully conserved control-volume representation of the fully elliptic Navier-Stokes equations. Turbulence is modeled using a two-equation （k-ε） model The flow visualization tests using a 1/100 scale model of the frigate in the wind tunnel were also carried out to determine the exhaust plume path and to validatc the computational results. The results show that down wash phenomena occurs for the yaw angles between ψ=10° and 20°. The results with different exhaust gas temperatures show that the buoyancy effect increases with the increasing of the exhaust gas temperature. However, its effect on the plume rise is less significant in comparison with its momentum. A good agreement between the predictions and experiment results is obtained.
文摘In this paper, the function characteristics of instruction are introduced, and the focus is on contact compare instruction and the characteristics of the transfer instructions. With the traffic lights control as an example, this paper proposes the application of contact compare instruction and transfer instruction to program design method, making the program structure compact and statement concise. The control requirements are easily completed. Key words： Function Instruction; Programming; Traffic Lights; Contact Compare Instruction; Transfer
文摘Anticipated backward stochastic differential equations, studied the first time in 2007, are equations of the following type:{-dY t = f(t1, Y t1 , Z t1 , Y t+δ(t) , Z t+ζ(t) )dt Z t dB t1 , t ∈ [0, T ], Y t = ξ t1 , t ∈ [T, T + K], Z t = η t1 , t ∈ [T, T + K].In this paper, we give a necessary and sufficient condition under which the comparison theorem holds for multidimensional anticipated backward stochastic differential equations with generators independent of the anticipated term of Z.
基金supported by the National Natural Science Foundation of China under Grant Nos.10921101, 61174092,11026185 and 11101242the National Science Foundation for Distinguished Young Scholars of China under Grant No.11125102+1 种基金the Natural Science Foundation of Shandong Province,China under Grant No.ZR2010AQ004the Independent Innovation Foundation of Shandong University under Grant No. 2009TS036
文摘This paper investigates some important properties of Z, the martingale integrant of the backward stochastic differential equations, which is the second process of the solution. These include the backward stochastic viability property, bounded property and the comparison theorem. To explain the theoretical results, the authors apply them to study a financial contingent claim pricing problem. The replication portfolio process can be characterized clearly.
