Currently, inputting mathematical formulas into a document using a PC requires more effort by users than inputting normal text. This fact inhibits the spreading of mathematical formulas as internet contents. We propose a method for predicting user’s inputs of mathematical formulas using an N-gram model: a popular probabilistic language model in natural language processing. Mathematical formulas...

rigorous mathematical modeling of adsorption processes in packed beds involves time-consuming computations which are considered as the fundamental weakness of such thorough mathematical models. thus, reducing the computation time was a key factor in improving adsorption mathematical models. in order to achieve this goal, an attempt was made to know how much using different numerical methods inf...

As new products are generally difficult to be accepted by consumers, and the cost of initial market introduction is high, enterprises often choose to do market extension of an existing brand. Simultaneously, a successful brand extension can enhance the reputation of the original brand, and expand the brand value. But how can enterprise take a good brand extension? Through establishment of a dyn...

this paper proposes an efficient tracking method for velocity control of an electro-hydraulic servo system (ehss) in the presence of flow nonlinearities and internal friction. the tracking method controller is a kind of feedback error learning structure. in the proposed method, the feedback error learning (fel) algorithm is used to control the velocity. there is no need to compute the system ja...

The aim of the present study was to explore the ability of first-year mathematics major students to use a mathematical theorem to solve a problem through a paper-pencil and an electronic-based dynamic assessment. In this study, a convenient and purposeful sampling method was used. Thirty-five students from a public university in voluntarily participated in this study. Data gathering and analysi...

in this paper, we consider the variational homotopy perturbation method (vhpm) to obtain an approximate series solution for the generalized fisher’s equation which converges to the exact solution in the region of convergence. comparisons are made among the variational iteration method (vim), the exact solutions and the proposed method. the results reveal that the proposed method is very effectiv...

Mathematical semantic web services are very useful in practice, but only a small number of research results are reported in this area. In this paper we present a method of obtaining an approximation of a mathematical semantic web service, from its semantic description, using existing mathematical semantic web services, approximation formulas, and numerical methods techniques. We also give a met...

1 Preface In these three chapters I treat a variety of issues that surround the current state of set theory. Through an analysis of the relationships between set theory and other branches of mathematics, I try to paint a truer picture of the nature of the theory of sets than what seems to be the prevalent characterization of the subject. This same analysis directs my approach to questions about...