A BRIEF LITERATURE ON PROBLEMS AND PERSPECTIVES OF MATHEMATICAL AND STOCHASTIC MODELLING

This research article mainly explores on problems and perspectives of mathematical and stochastic modeling. There is a large element of compromise in mathematical modelling. The majority of interacting systems in the real world are far too complicated to model in their entirely.In this research paper an extensive discussion has been made on linear models,nonlinear models,static models,dynamic models.A comparative study is done between the pairs explicit and implicit model,discrete and continuous model,deterministic and probabilistic model. In this talk a brief discussion on different types of models has been proposed and the concept of stages of model building is extensively discussed.Problems of stochastic model building are presented in a lucid manner and this literature is highly helpful for young researchers in stochastic modeling.

Using Near Field Equivalent Sources in Combination with Large Element Physical Optics to Model a Slant 45 Degree Omni Directional Antenna over Ground

This paper compares the theoretical and measured antenna patterns of a slant 45-degree antenna on a rolled edge ground plane. Advantages of using sampled nearfield currents in combination with large element physical optics in determining the reflected far fields will be described.

Supreme Court Restates Directors' Fiduciary Duty - A Comment on Peoples Department Stores v. Wise

This article considers the implications of the recent Supreme Court of Canada decision in Peoples Department Stores v. Wise for the law of directors' fiduciary duties. The Court’s decision is attacked on two grounds. First, the author criticizes the Court’s interpretation and treatment of the phrase "the best interests of the corporation" as found in the Canada Business Corporations Act. It is argued that the decision in Wise rejects the traditional interpretation of this phrase which was previously accepted to mean "the best interests of the shareholders collectively. " This rejection raises the spectre of the debate between the "shareholder primacy " model of directors' duties and broader "pluralist" alternatives. By undercutting the lynchpin of the "shareholder primacy" model, the author suggests that the Court has left a vacuum in the law because the Court failed to outline what is to replace this traditional interpretation, or even to acknowledge the substantive change being made. At the level of process, it is equally suggested that the revision of important principles in corporate law exclusively through the judiciary is fundamentally undesirable, where the law of directors' duties has such a large element of public policy attached to it. The author also proposes that the decision in Wise has resulted in an unacceptable level of uncertainty in the law, and that this uncertainty was neither necessary nor advisable to resolve the case before the Court. Second, the author criticizes the Court's comments indicating that a breach of fiduciary duty requires mala fides on the part of directors. It is argued that this is inconsistent with pre-existing case law.

Aerodynamic and Stealth Integrated Design of DSI Inlet by Surrogate-Based Multi-Objective Optimization with EHVI Infill Criterion

To deal with the problem of aerodynamic and stealth integrated optimization of DSI inlet, a multi-objective optimization study on aerodynamic and stealth of the DSI inlet is carry out which based on the deformation of the three-dimensional compression bump surface. The FFD parametric method is used to parameterize the bump surface; CFD calculation based on RANS equations is used to analyze the aerodynamic performance of the DSI inlet, large element physical optical method and uniform theory of diffraction are used to calculate RCS of the DSI inlet; And ASMOPSO algorithm with the Kriging surrogate model which based on the expect hyper-volume improvement infill criterion is adopted for integrated optimization design. The results of DSI inlet aerodynamic and stealth integrated optimization exhibit considerable improvement.