The phenomenon of hysteresis is commonly encountered in the study of magnetic materials. The Preisach operator and its variants have been successfully used in the modeling of a physical system with hysteresis. In an application, one has to determine a density function for the Preisach operator using the input-output behavior of the system at hand. In this paper, we describe a method for numerically determining an approximation of the density function when there is not enough experimental data to uniquely solve for the density function. We also present numerical results where we estimate an approximate density function from data published in the literature for a magnetostrictive actuator and an electro-active polymer.
It is believed that identifying any strong relationships between learning styles and creative thinking within the context of the math classroom will help improve instruction by providing course delivery strategies tailored to different learning preferences and promotion of creative thinking. Thus, the purpose of the current study is to identify which (if any) of the cognitive learning dimensions would be related to creative thinking in math students. The major findings of this study indicate that creative thinking, assessed by RAT, and learning preferences, evaluated by ILS, are not highly correlated. Over all, students in this study show a balanced learning preference across four dimensions. In summary, this study directs a possible path for future researchers to investigate this phenomenon.
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