This paper describes current results of Ofr (Optical Formula Recognition), a system for extracting and understanding mathematical expressions in documents. Such a tool could be really useful to be able to re-use knowledge in scientific books which are not available in electronic form. We currently also study use of this system for direct input of formulas with a graphical tablet for computer al...

In this paper, we propose a new method of recognizing mathematical formulae. The method is robust against the recognition errors of characters and the variation of the printing styles of the documents. The outline is as follows: we first construct a network with vertices representing the characters (symbols), linked each other by several edges with labels and costs representing the possible rel...

We consider the problem of data interpolation or smoothing using a thin-plate spline approach. The thin-plate spline formulation involves the linear combination of logarithmic kernels. For problems with large data sets, current methods for evaluating the splines are too slow. Recently, Beatson and Newsam 1] have suggested using a form of multi-pole type technique for the rapid evaluation of thi...

During field weakening operation time (FWOT), the total iron loss rises and affects the 11 accuracy of loss prediction and efficiency especially if a large range of FWOT exists due to a large 12 voltage drop which rooted from the resistance of the used material. Iron loss prediction is widely 13 employed in investigations for a fast electrical machine analysis using 2-D FEA. This paper proposes...

This paper introduces two constraints on the use of variables inside the expectation formula. The constraints are, roughly, (1) that the variable takes the same conditional expectation in each event in the partition and (2) that the total expected value be a linear function of the variable for each event in the partition. We argue that the reasoning in one version of the “two envelope paradox” ...

The Kronmüller formula is used to qualitatively explain the coercivity of permanent magnets. Such simple expressions are useful for understanding elements that influence coercivity. This study attempts derive within framework Ginzburg-Landau theory. results revealed magnetic material was defined by slope free energy landscape. reduction parameter α anisotropy field Hk in depends on functional f...