It is attempted to extend a two-step without memory method to it's with memory. Then, a new two-step derivative free class of without memory methods, requiring three function evaluations per step, is suggested by using a convenient weight function for solving nonlinear equations. Eventually, we obtain a new class of methods by employing a self-accelerating parameter calculated in each iterative...

IN COMMENTING on the classical authors the medieval commentators very often used a formal introduction setting out a number of topics to be treated in the commentary upon the text. This accessus ad auctores has been discussed by Quain,' who lists a wide variety of branches of study in which the accessus was used; the only significant oniission from this list is medicine. Medical examples, howev...

In this study, we discuss the capacitated facility location-allocation problem with uncertain parameters in which the uncertainty is characterized by given finite numbers of scenarios. In this model, the objective function minimizes the total expected costs of transportation and opening facilities subject to the robustness constraint. To tackle the problem efficiently and effectively, an effici...

Expansive and collapsible soils are some of the most widely distributed and costly of geologic hazards. These soils are subject to changes in volume and settlement in response to wetting and drying, often resulting in severe damage to structures. Collapsing soils are generally characterized by sudden and large volume decrease at constant stress when inundated with water. A geotechnical engineer...

make or buy decision is one of the main areas of decision making for managers. transaction cost economics (tce), as an influential economic approach to the theory of the firm, tries to put forward a theoretical framework for this important decision. from tce perspective, the greater the asset specificity, the more the behavioral uncertainty and the more the transaction frequency, the more will ...

this paper considers the possibility of spontaneous transition of aracemic mixture (composed of equal amounts of two enantiomeric species, say l and d) into a monochiral state (in which only one enantiomer, say l, is present). transitions of this kind have been recently experimentally observed. a plausible approach to this phenomenon is a model put forward by frank, based on simple laws of chem...

The mid Eighteenth Century was a time of great scientific experimentation and observation during which some of the basic aspects of respiratory physiology and metabolism began to be elucidated. This was the time when the fundamental elements of earth, air, fire and water proposed by Aristotle began to be reappraised. The Phlogiston theory was finally exploded and a basic understanding of elemen...

The modern word ‘political’ derives from the Greek politikos, ‘of, or pertaining to, the polis’. (The Greek term polis will be translated here as ‘city-state’. It is also translated as ‘city’ or ‘polis’, or simply anglicized as ‘polis’. City-states like Athens and Sparta were relatively small and cohesive units, in which political, religious, and cultural concerns were intertwined. The extent o...