Factorization of polynomials is one of the foundations of symbolic computation. Its applications arise in numerous branches of mathematics and other sciences. However, the present advanced programming languages such as C++ and J++, do not support symbolic computation directly. Hence, it leads to difficulties in applying factorization in engineering fields. In this paper, we present an algorithm...

We present MathPaper, a system for fluid pen-based entry and editing of mathematics with support for interactive computation. MathPaper provides a paper-like environment in which multiple mathematical expressions and even algorithms can be entered anywhere on the page. Mathematical expressions can also be modified using simple deletion and dragging gestures with real-time recognition and comput...

We propose a quantization-based numerical scheme for family of decoupled forward-backward stochastic differential equations. simplify the control in [1] so that our approach is fully based on recursive marginal quantization and does not involve any Monte Carlo simulation computation conditional expectations. analyse detail error provide some examples application to financial mathematics.

    Nature is characterized by its chaotic behavior. Mathematics is considered one of the appropriate tools to achieve the best definition of possible its chaos variables and process. Classical mathematics deals with the numbers as static and meaningless, but chaos mathematics deals with it as dynamic evolutionary, and value- added. This paper attempts to introduce the transportation problem re...

We propose certain non-Turing models of computation, but our intent is not to advocate models that surpass the power of Turing machines (TMs), but to defend the need for models with orthogonal notions of power. We review the nature of models and argue that they are relative to a domain of application and are ill-suited to use outside that domain. Hence we review the presuppositions and context ...

The emergence of pen-based mobile devices such as PDAs and tablet PCs provides a new way to input mathematical expressions to computer by using handwriting which is much more natural and efficient for entering mathematics. This paper proposes a web-based handwriting mathematics system, called WebMath, for supporting mathematical problem solving. The proposed WebMath system is based on client-se...