Previous eye tracking studies have consistently associated increased eye fixations with comprehension difficulty. However, little research has probed this relationship in more complex news stories online. This exploratory within-subject experiment exposed participants (N = 20) to different text and graphic structures in health news stories. Results suggest enhanced learning, shorter viewing tim...

The cylindrical Bessel differential equation and the spherical Bessel differential equation in the interval [Formula: see text] with Neumann boundary conditions are considered. The eigenfunctions are linear combinations of the Bessel function [Formula: see text] or linear combinations of the spherical Bessel functions [Formula: see text]. The orthogonality relations with analytical expressions ...

The goal of compressed sensing is to reconstruct a sparse signal under a few linear measurements far less than the dimension of the ambient space of the signal. However, many real-life applications in physics and biomedical sciences carry some strongly nonlinear structures, and the linear model is no longer suitable. Compared with the compressed sensing under the linear circumstance, this nonli...

Genome rearrangement problems have been extensively studied due to their importance in biology. Most studied models assumed a single copy per gene. However, in reality, duplicated genes are common, most notably in cancer. In this study, we make a step toward handling duplicated genes by considering a model that allows the atomic operations of cut, join, and whole chromosome duplication. Given t...

An effective implementation of a Directed Acyclic Word Graph (DAWG) automaton is shown. A DAWG for a text T is a minimal automaton that accepts all substrings of a text T, so it represents a complete index of the text. While all usual implementations of DAWG needed about 30 times larger storage space than was the size of the text, here we show an implementation that decreases this requirement d...

Research on linear text segmentation has been an on-going focus in NLP for the last decade, and it has great potential for a wide range of applications such as document summarization, information retrieval and text understanding. However, for linear text segmentation, there are two critical problems involving automatic boundary detection and automatic determination of the number of segments in ...

In modern refineries, hydrogen is widely used for the production of clean fuels. In this paper, a new method is presented in order to use <span style="font-size: 11pt; color: #000000; font-style: norma...

This work applies fuzzy sets to the integration of purchasing, manufacturing and assembling of production planning decisions with multiple suppliers, multiple components and multiple machines in remanufacturing systems. The developed fuzzy multi-objective linear programming model (FMOLP) simultaneously minimizes total costs, total $text{CO}_2$ emissions and total lead time with reference to cus...