Contrasts in the basins of attraction of structurally identical iterative root finding methods

A numerical comparison is performed between three methods of third order with the same structure, namely BSC, Halley’s and Euler–Chebyshev’s methods. As the behavior of an iterative method applied to a nonlinear equation can be highly sensitive to the starting points, the numerical comparison is carried out, allowing for complex starting points and for complex roots, on the basins of attraction in the complex plane. Several examples of algebraic and transcendental equations are presented.

Combining Formal Methods and Functional Strategies Regarding the Reverse Engineering of Interactive Applications

Abstract. Graphical user interfaces (GUIs) make software easy to use by providing the user with visual controls. Therefore, correctness of GUI’s code is essential to the correct execution of the overall software. Models can help in the evaluation of interactive applications by allowing designers to concentrate on its more important aspects. This paper describes our approach to reverse engineer an abstract model of a user interface directly from the GUI’s legacy code. We also present results from a case study. These results are encouraging and give evidence that the goal of reverse engineering user interfaces can be met with more work on this technique.

Historical and conceptual landscape of the character

This paper was developed with the intention of broadly demonstrating the complexity of the area known recently as character development, as a creative process methods and implementation. It searches the understanding of the character itself, its place in the narrative and its reception by the reader or target audience. It is a multidisciplinary tool that faces a multitude of challenges from an increasingly demanding public and with specific goals in mind, and yet it also gives us valuable insight over how we interact with one another and the world around us, teaching us how to transfer such knowledge into fiction promoting empathic bonds between the reader and the characters. The human tendency to create is limitless and as old as mankind itself, we create, recreate and reinterpret and then populate such tales with believable characters from who we learn, and experience events and tales that shape our very lives.