• Communications of Mathematical Education
• /
• v.19 no.4 s.24
• /
• pp.793-803
• /
• 2005

In this paper, we study the effectiveness of college mathematics education by counseling freshman. And we discuss the effectiveness that the college mathematics education can be promoted throughout counseling freshman and by teaching examples in engineering mathematics in courses of calculus and differential equation and linear algebra.

• Research in Mathematical Education
• /
• v.16 no.2
• /
• pp.91-106
• /
• 2012

Spatial ability has been valued as a talent domain and important skill in mathematics education because it enhanced an intuitive view and an understanding in many areas of mathematic. In addition, spatial ability highly correlates with mathematics achievement, indicating its crucial role in success in mathematics education. Some researchers founded gender differences in mathematics and spatial ability, and indicated that spatial ability served as a mediator of gender difference in mathematics. This study explored the spatial ability of 349 Korean middle school students (Grade 7-9), and investigated the association among students' spatial ability and their mathematics achievement, gender, and grade. The result of this study shows that spatial ability correlates positively with mathematics achievement. While gender difference did not exist in mathematics, significant gender difference existed in spatial ability favoring male students.

• Journal of applied mathematics & informatics
• /
• v.33 no.3_4
• /
• pp.317-325
• /
• 2015

Proved that the two topoloies(spectral topology and D−topology) coincide on SpecR, MaxR and MinspecR iff R is complemented, normal and stone ADL respectively.

• Journal of applied mathematics & informatics
• /
• v.40 no.5_6
• /
• pp.995-1002
• /
• 2022

In this paper, we study the uniqueness of meromorphic functions sharing a unique range sets Ignoring multiplicities. This paper improves the result of Pulak sahoo and Anjan Sarkar [15].

• Journal of applied mathematics & informatics
• /
• v.32 no.1_2
• /
• pp.75-82
• /
• 2014

In this paper, we consider the periodic boundary value problem with sign changing nonlinearity $$u^{{\prime}{\prime}{\prime}}+{\rho}^3u=f(t,u),\;t{\in}[0,2{\pi}]$$, subject to the boundary value conditions: $$u^{(i)}(0)=u^{(i)}(2{\pi}),\;i=0,1,2$$, where ${\rho}{\in}(o,{\frac{1}{\sqrt{3}}})$ is a positive constant and f(t, u) is a continuous function. Using Leggett-Williams fixed point theorem, we provide sufficient conditions for the existence of at least three positive solutions to the above boundary value problem. The interesting point is the nonlinear term f may change sign.

• Advances in concrete construction
• /
• v.11 no.3
• /
• pp.255-260
• /
• 2021

Vibration of protein microtubules is investigated based upon Orthotropic Elastic Shell Model, considering the effect of thermal stresses. The complete analytical formulas of thermal vibration for microtubules are obtained. It is observed that the effects of thermal stresses on the vibrational frequency mode are more significant when the longitudinal and circumferential wave vectors are large enough. But when the length of wave vector reduces to 5 nm, these effects have no significant effects. The present results well agree with the lattice vibrations of microtubules. Moreover, the results show that the effects of thermal stresses due to small change in temperature are not so significant but with the increase in temperature its effects are obvious.

• Advances in concrete construction
• /
• v.17 no.2
• /
• pp.67-73
• /
• 2024

This paper examines the wave velocity of protein microtubules using a elasticity model that incorporates body forces, based on the structure of these hollow cylinder-like structures., the governing equations are analytically solved to determine how the body forces effect the wave velocity. To analyze the microtubule waves velocity, use microtubules with simply supported ends. The electric field of a dipole vibrating at the same frequency as microtubule vibrations approximates the electric field generated by the rhythmic motion of every charge. The numerical findings for the three modes of frequencies in the longitudinal, radial, and torsional directions for the current conditions are compared with the results of previous calculations.

• Research in Mathematical Education
• /
• v.11 no.4
• /
• pp.235-246
• /
• 2007

The background and the existing problems in teaching of mathematics application were analyzed. Based on the mathematics knowledge which from the simple application, complicate application, and synthetically application to the mathematics modeling, the ability level test questions of mathematics application was worded out to help the teaching and learning in mathematics application.

• Journal of applied mathematics & informatics
• /
• v.32 no.1_2
• /
• pp.185-201
• /
• 2014

In this paper, we construct a numerical method to solve singularly perturbed one-dimensional parabolic convection-diffusion problems. We use Euler method with uniform step size for temporal discretization and exponential-spline scheme on spatial uniform mesh of Shishkin type for full discretization. We show that the resulting method is uniformly convergent with respect to diffusion parameter. An extensive amount of analysis has been carried out to prove the uniform convergence with respect to the singular perturbation parameter. The obtained numerical results show that the method is efficient, stable and reliable for solving convection-diffusion problem accurately even involving diffusion parameter.

• 한국정보디스플레이학회:학술대회논문집
• /
• 2006.08a
• /
• pp.1744-1749
• /
• 2006

Line-scan SLS of thin Si films permits the attainment of low-defect-density Si films with a directionally solidified microstructure. This paper deals with: (1) identifying and examining the structural defects that are found in the resultant material, (2) how the spatial variations in the type and density of the observed defects may potentially affect the overall uniformity of the resulting devices, and (3) some technical options that may be applied in order to potentially alleviate the situation.