Unknown Oriented Programming: Mathematical Continuation

Natural language semantic engineering problems are faced with unknown input and intensive knowledge challenges. In order to adapt to the featuresof natural language semantic engineering, the AI programinglanguage needs to be expanded mathematically: 1) Using many ways to improve the spatial distribution and coverage of instances; 2) Keeping different abstract function versions running at the same time; 3) Providing a large numberof knowledge configuration files and supporting functions to deal with intensive knowledge problems; 4) Using the most possibilitypriority call to solve the problem of multiple running branchestraversal. This paper introduces the unknown oriented programming ideas, basic strategy formulation,language design and simulation running examples. It provides a new method for the incremental research and development of large-scale natural language semantic engineeringapplication. Finally, this paper summarizes the full text and puts forward the further research direction.

A bridge to systems thinking in engineering design: An examination of students’ ability to identify functions at varying levels of abstraction

This paper aims to situate functional abstraction in light of systems thinking. While function does not extensively appear in systems thinking literature, the literature does identify function as part of systems thinking that enables us to recognize and connect that function has a role in building a systems thinking approach for students. A systems thinking approach is valuable for students since it helps them view a system holistically. In this research, we measure how well students are able to abstract function. We asked students to generate functions for two different products and examined how students taught functional modeling and function enumeration compare to students who are only taught function enumeration. The student responses were examined using a rubric that we developed and validated for assessing function. This rubric may be used to classify functions by correctness (correct, partially correct, and incorrect) and categories (high level, interface, low level, and ambiguous). On questions where students were not explicitly asked to write a high-level function or low-level function, and so on, students who were taught functional modeling were able to better demonstrate systems thinking in their responses (low-level and interface functions) than those students who were only taught function enumeration.

Global Analysis on a Discontinuous Dynamical System

We have studied a Filippov system [Formula: see text] with small [Formula: see text], [Formula: see text] and [Formula: see text] being periodic. Since [Formula: see text] is an abstract function, the subharmonic Melnikov function cannot be computed. In other words, for this system the Melnikov method loses effectiveness. First, we proved that the equation has a unique harmonic solution, a unique [Formula: see text]-subharmonic solution for any [Formula: see text] and they are Lyapunov asymptotically stable. Moreover, this equation has no other type of periodic solutions. Further, the attractor of this system is not chaotic. Finally, some numerical examples are given.

Continuous Wavelet Transforms of Multivariable Abstract Function Spaces

An abstract function space is proposed and discussed. One-dimensional continuous wavelet transform is applied to the continuous wavelet transforms of the multivariable abstract function spaces .The reconstruction formulas of it produced by the integral kernel of the transform multivariable abstract functions and those of it produced by the integral kernel of the multivariable abstract functions which are difference from the transform multivariable abstract functions are obtained in the weak topology as well as in the sense of norm convergence.