• Communications of the Korean Mathematical Society
• /
• v.11 no.2
• /
• pp.407-413
• /
• 1996

The $(\alpha, \beta)$-metric is a Finsler metric which is constructed from a Riemannian metric $\alpha$ and a differential 1-form $\Beta$; it has been sometimes treat in theoretical physics. In particular, the projective flatness of Finsler space with a metric $L^2 = 2\alpha\beta$ is considered in detail.

• Bulletin of the Korean Mathematical Society
• /
• v.50 no.3
• /
• pp.727-730
• /
• 2013

We prove an inequality between topological entropy and asymptotical growth of periodic orbits for $C^1$ generic diffeomorphisms.

• Communications of the Korean Mathematical Society
• /
• v.33 no.1
• /
• pp.37-44
• /
• 2018

We prove some theorems showing that a right Jordan ideal or a left Jordan ideal of a 3-prime near-ring must be commutative if it admits a nonzero derivation acting as a homomorphism or an antihomomorphism. Moreover, we give examples proving necessity of the conditions given.

• Communications of the Korean Mathematical Society
• /
• v.34 no.2
• /
• pp.633-635
• /
• 2019

In this note we show that Lorentzian Concircular Structure manifolds $(LCS)_n$ coincide with Generalized Robertson-Walker space-times.

• Bulletin of the Korean Mathematical Society
• /
• v.56 no.1
• /
• pp.73-82
• /
• 2019

We consider Riemann surfaces with three or four symmetries, assuming that they have a maximal total number of ovals and find all the possible topological types of the symmetries realizing such a configuration.

• Bulletin of the Korean Mathematical Society
• /
• v.59 no.5
• /
• pp.1105-1117
• /
• 2022

In this paper, we obtain a second main theorem for holomorphic curves and moving hyperplanes of Pⁿ(C) where the counting functions are truncated multiplicity and have different weights. As its application, we prove a uniqueness theorem for holomorphic curves of finite growth index sharing moving hyperplanes with different multiple values.

• Bulletin of the Korean Mathematical Society
• /
• v.60 no.6
• /
• pp.1621-1639
• /
• 2023

In this paper, we give an improvement for the second main theorems of algebraically non-degenerate meromorphic maps from generalized p-parabolic manifolds into projective varieties intersecting hypersurfaces in subgeneral position with some index, which extends the results of Han [6] and Chen-Thin [3].

• Kyungpook Mathematical Journal
• /
• v.60 no.1
• /
• pp.73-116
• /
• 2020

The subject of fractional calculus (that is, the calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past over four decades, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of mathematical, physical, engineering and statistical sciences. Various operators of fractional-order derivatives as well as fractional-order integrals do indeed provide several potentially useful tools for solving differential and integral equations, and various other problems involving special functions of mathematical physics as well as their extensions and generalizations in one and more variables. The main object of this survey-cum-expository article is to present a brief elementary and introductory overview of the theory of the integral and derivative operators of fractional calculus and their applications especially in developing solutions of certain interesting families of ordinary and partial fractional "differintegral" equations. This general talk will be presented as simply as possible keeping the likelihood of non-specialist audience in mind.

• International Journal of Advanced Culture Technology
• /
• v.12 no.1
• /
• pp.34-42
• /
• 2024

This study investigated the academic achievement of science and high school students according to the characteristics of R&E activities in mathematics and science. In addition, based on the survey results, the correlation between R&E activity characteristics and mathematics and science academic achievement was studied through correlation analysis and factor analysis between subjects. There was a difference in academic achievement in mathematics and science according to the characteristics of the R&E activity area, and the experience of R&E activity was found to be closely related to the academic achievement of related subjects. Depending on the area of R&E activity, mathematical and scientific academic achievement was found to be two factors: mathematical logic and natural understanding. Natural understanding factors significantly influenced students' academic achievement in mathematics, physics, and life sciences, and mathematical logic factors significantly influenced the academic achievement of students in chemistry and earth science subjects. In particular, mathematical logic ability was concentrated in excellent physics class students, and natural understanding ability was concentrated in excellent life science class students. Since the characteristics of the R & E activity area greatly influence the academic achievement of mathematics and science, it will significantly contribute to the selection and operation of the R & E activity area of science high school students.

• Kyungpook Mathematical Journal
• /
• v.22 no.1
• /
• pp.117-121
• /
• 1982