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...

abstract background and aims: paper-pencil tests have always its own problems in the mental disorders evaluation, including learning questions, bad or good blazon are the problems with this methodology. this study aimed to propose a new alternative method of measuring mental disorders without paper-pencil test using eeg. methods: the research society involved depressed patients referred the psy...

in this paper, we obtain a suitable mathematical model for the seismic response of dams. by using the shear beam model (sb model), we give a mathematical formulation that it is a partial differential equation and transform it to the sturm-liouville equation.

This paper proposes an extension to the existing automatic pencil drawing generation technique based on Line Integral Convolution (LIC). The original LIC pencil filter utilizes image segmentation and texture direction detection techniques for defining outlines and stroke directions, and the quality of a resulting image depends largely on the result of the white noises and the texture directions...

The rational Krylov sequence (RKS) method is a generalization of Arnoldi's method. It constructs an orthogonal reduction of a matrix pencil into an upper Hessenberg pencil. The RKS method is useful when the matrix pencil may be eeciently factored. This article considers approximately solving the resulting linear systems with iterative methods. We show that a Cayley transformation leads to a mor...

This paper presents a new statistical approach to the blind estimation of linear multiple-input multiple-output (MIMO) channels with finite impulse response. A matrix pencil is constructed from a set of fourth-order cumulant matrices of the channel output signals. The MIMO channel impulse responses can then be efficiently estimated from the generalized eigendecomposition of this cumulant matrix...

As far as algorithmic thinking is bound by symbolic paper-and-pencil operations, the Church-Turing thesis appears to hold. But is physics, and even more so, is the human mind, bound by symbolic paper-and-pencil operations? What about the powers of the continuum, the quantum, and what about human intuition, human thought? These questions still remain unanswered. With the strong Artificial Intell...

We study wave propagation in periodic and frequency dependent materials. The approach in this paper leads to spectral analysis of a quadratic operator pencil where the spectral parameter relates to the quasimomentum and the frequency is a parameter. We show that the underlying operator has a discrete spectrum, where the eigenvalues are symmetrically placed with respect to the real and imaginary...

To assist students understand the difficult concepts of divided attention and interference, a new purpose built computer & mouse task is compared with an existing paper & pencil version, and yields complementary results. The pencil & paper task provides first-hand experience of divided attention and interference for the students. The computer & mouse task further extends the learning experience...