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