Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications ~ Volume 106, Number 3 June, 2009 pp325-499

Introduction......Page 1
Application Ito Coupled System 11......Page 2
Classical Fourth-Order Runge-Kutta Method......Page 3
Numerical Solution for Reduced System for Ito Coupled System (Case 1)......Page 4
Numerical Solution for Reduced System for Ito Coupled System (Case 2)......Page 7
 Numerical Solution for Reduced System for Ito Coupled System (Case 3)......Page 8
References......Page 10
Introduction......Page 12
The Basic Concepts and Related Results......Page 13
VC Dimension and Inner Product Space for Special Bayesian Networks......Page 15
The Existence of Bayesian Networks......Page 18
References......Page 23
Introduction......Page 24
Symmetric Operators......Page 25
Minimum Uncertainty and Spectra of Self-adjoint Extensions......Page 26
Outlook......Page 32
References......Page 33
Introduction......Page 34
Implementation of the Method......Page 35
Governing Equation of Motion and Formulation......Page 37
Implementation of VIM......Page 38
Conclusions......Page 40
References......Page 41
Introduction......Page 43
Bernoulli Numbers......Page 45
Bernoulli Polynomials......Page 60
Generalized Reciprocal Logarithm Numbers......Page 67
Properties of the Ak(s)......Page 73
Applications......Page 84
Conclusion......Page 91
Appendix......Page 92
References......Page 93
Introduction......Page 95
Interior-Outer Set Model......Page 97
Fuzzy Expected Value Calculation Based on Possibility-Probability Distribution......Page 99
Flood Risk Analysis......Page 101
Fuzzy Expected Value of Flood Risk......Page 103
Benefit from Using the Fuzzy Risk Instead of the Probability Risk......Page 104
References......Page 105
Introduction......Page 107
Short Wave Equation......Page 109
2-D Khokhlov-Zabolotskaya Equation......Page 116
3-D Khokhlov-Zabolotskaya Equation......Page 119
References......Page 128
Introduction......Page 129
Two Parameter Gamma Distribution:......Page 132
Two Parameter Inverse Gaussian Distribution:......Page 133
Two Parameter Weibull Distribution:......Page 134
Three Parameter Stacy Distribution:......Page 135
Two Parameter Fréchet Distribution:......Page 136
Four Parameter Two Sided Power Distribution:......Page 137
Two Parameter Beta Distribution:......Page 138
Two Parameter Lomax Distribution:......Page 139
Two Parameter Generalized Pareto Distribution:......Page 140
Two Parameter Burr III Distribution:......Page 141
Two Parameter Burr XII Distribution:......Page 142
Application......Page 143
References......Page 146
Introduction......Page 147
Auxiliary Results......Page 150
Dynamical Systems Gradient Method......Page 159
An Iterative Scheme......Page 165
Numerical Experiments......Page 169
References......Page 173