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ÀÌÀçÁø »ç¾÷ºÎÈ¸Àå (jjlee@hallym.ac.kr),
¹Ú»óµ· ÃÑ¹«ÀÌ»ç (sdpark@hknu.ac.kr),

ÇÁ·Î±×·¥ À§¿øÈ¸
¹Ú¿µÈ£ È¸Àå (yhpark@kangwon.ac.kr),
±èº´ÇÐ ÆíÁýºÎÈ¸Àå (bhkim@khu.ac.kr),

Manager for this system:
Deok-Kyu Jang (Journal Manager) kkms@kangwon.ac.kr

## µî·ÏµÈ ÃÊ·Ï Tentative Abstracts

• Beginner's guide to neural networks for the MNIST dataset using MATLAB
Bitna Kim*, Kangwon National University, kbn0884@naver.com
Young Ho Park, Kangwon National University
Abstract: MNIST dataset is a database containing images of handwritten digits, with each image labeled by an integer from 0 to 9. It is used to benchmark the performance of machine learning algorithms. Neural networks for MNIST are regarded as the starting point of the studying machine learning algorithms. However it is not easy to start the actual programming. In this expository article, we will give a step-by-step instruction to build neural networks for MNIST dataset using MATLAB.<br /><br />

Subject: Applied Math
Abstract Number : SS-A8-410145203 [Modifiy] [Delete] (with private passwords)

Choonkil Park*, Hanyang University, baak@hanyang.ac.kr

Abstract: In this talk, we introduce and solve the following additive $(\rho_1, \rho_2)$-functional inequalities
\begin{eqnarray*}\left\|f\left(x+y\right) - f(x )- f(y)\right\|&\le &\|\rho_1 (f(x-y)-f(x)+f(y))\| \\ &+ & \left\|\rho_2 \left(f(y-x)-f(y)+f(x)\right)\right\|,
\end{eqnarray*}
where $\rho_1$ and $\rho_2$ are fixed nonzero complex numbers with $|\rho_1| + |\rho_2| <1$, and
\begin{eqnarray*} \left\|f\left(x-y\right) - f(x )+ f(y)\right\| &\le &\|\rho_1(f(x+y)-f(x)-f(y))\| \\ &+ &\left\|\rho_2 \left( f(y-x)-f(y)+f(x)\right)\right\|,
\end{eqnarray*}
where $\rho_1$ and $\rho_2$ are fixed nonzero complex numbers with $|\rho_1| + |\rho_2| <1$.
Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the above additive $(\rho_1, \rho_2)$-functional inequalities in complex Banach spaces.

Subject: Analysis
Abstract Number : SS-A8-420202310 [Modifiy] [Delete] (with private passwords)

• A general elliptic nonlinear system of two functions with application
Joon Hyuk Kang*, Andrews University, kang@andrews.edu

Abstract:
We study mathematical conditions to guarantee the existence of positive solutions to a general non-linear second order system of partial differential equations with homogeneous boundary conditions.
This result may apply to illustrate biological conditions under which species of animals residing in the same environment can peacefully coexist forever.

Subject: Applied Math
Abstract Number : SS-A8-426095851 [Modifiy] [Delete] (with private passwords)

• Involute and evolute of rectifying curves in 3D space
Yun Myung Oh*, Andrews University, ohy@andrews.edu

Abstract: The idea of rectifying curves in $\mathbf{R}^{3}$ was introduced by B. Y. Chen in 2003 and many characterizations results have been found with applications in kinematics and mechanics. The idea has been generalized to the arbitrary dimension and it is now called the rectifying submanifold. In this project, we are going to investigate the involute and evolute of rectifying curves in $\mathbf{R}^{3}$ and find some characterizations of the curve.

Subject: Geometry
Abstract Number : SS-A8-427053723 [Modifiy] [Delete] (with private passwords)

• The application of topological method to the analysis of west capital Pyongyangbu map
Q-Heung Choi*, Inha University, qheung@inha.ac.kr
Tacksun Jung, Kunsan National University.
Abstract: We analyse the map of the west capital Pyongyangbu of Old Korea(AD 920) by topological method and geometrical method and compare it with the map of North Korea Pyongyang. By the analyse of the map we find the real corresponding place of the old map. The analysing and finding the real place of the old map is a very good example of geometry education. Many Koreans had learned and recognized that Old Korea(AD 920) was a small country located in the south part of Ablok river. But, after reading this paper they change their old recognitions and they take prides in Great Old Korea.

Subject: Geometry
Abstract Number : SS-A8-430154319 [Modifiy] [Delete] (with private passwords)

• A modified Banach algebra over paths of bounded variation
Dong Hyun Cho*, Kyonggi University, j94385@kyonggi.ac.kr
Bong Jin Kim, Daejin University, Il Yoo, Yonsei University
Abstract: Let $C[0,T]$ denote a generalized analogue of Wiener space, that is, the space of continuous, real-valued functions on $[0,T]$. In this talk we introduce two Banach algebras: one of them is defined on $C[0,T]$ and the other is a space of equivalence classes of measures over paths of bounded variation on $[0,T]$. We establish an isometric isomorphism between them, and evaluate analytic Feynman integrals of the functions in the Banach algebras which play important roles in the Feynman integration theories and quantum mechanics.

Subject: Analysis
Abstract Number : SS-A8-503100211 [Modifiy] [Delete] (with private passwords)

• Immersed Energy bending curve in hypersurface of Lorentzian Space Forms
Woo Changhwa*, Woosuk University, legalgwch@naver.com
Oscar J. Garay, Vascue University
Abstract: We study geodesics in hypersurfaces of a Lorentzian space form ${M^{n+1}}_1(c)$, which are critical curves of the ${M^{n+1}}_1(c)$-bending energy
functional, for variations constrained to lie on the hypersurface. We characterize critical geodesics showing that they live fully
immersed in a totally geodesic ${M^{3}}_1(c)$ and that they must be of three different types. Finally, we consider the classification of surfaces
in the Minkowski 3-space foliated by critical geodesics.

Subject: Geometry
Abstract Number : SS-A8-504101855 [Modifiy] [Delete] (with private passwords)

• Real hypersurfaces with generalized Tanaka-Webster parallel shape operator in the complex quadric
Hyunjin Lee*, Kyungpook National University, lhjibis@hanmail.net
Young Jin Suh, Kyungpook National University
Abstract: In the class of Hermitina symmetric spaces of rank 2, usually we can give examples of Riemannian symmetric spaces $SU_{m+2}/S(U_{2} U_{m})$ and $SU_{m,2}/S(U_{2} U_{m})$, which are said to be complex two-plane Grassmannians and complex hyperbolic two-plane Grassmannians, respectively.

In this talk, we will consider the complex quadric $SO_{m+2}/SO_{m} SO_{2}$ as another kind of Hermitian symmetric space with rank 2 of compact type different from the previous ones, which is a complex hypersurface in complex projective space ${\mathbb C}P^{m}$. And it can be regard as a kind of real Grassmann manifold of compact type with rank 2. Accordingly, the complex quadric admits both a complex conjugation structure $A$ and a Kaehler structure $J$, with anti-commutes with each other, $JA=-AJ$. By using these structures of the ambient space we classify real hypersurfaces with generalized Tanaka-Webster parallel shape operator in the complex quadric.

Subject: Geometry
Abstract Number : SS-A8-508173251 [Modifiy] [Delete] (with private passwords)

• Additive rho-functional equations in non-Archimedean Banach spaces
Eun Hwa Shim*, Daejin University, stareun01@nate.com
Siriluk Paokanta, Hanyang University
Abstract: In this paper, we solve the additive $\rho$-functional equations
\begin{eqnarray*} f(x+y)+ f(x-y)-2f(x) = \rho\left(2 f\left(\frac{x+y}{2}\right)
+ f(x-y )- 2f(x) \right),\end{eqnarray*}
where $\rho$ is a fixed non-Archimedean number with $|\rho| < 1$,
and
\begin{eqnarray*} f\left(\frac{x+y}{2}\right) + f(x-y)- 2 f(x) =\rho(f(x+y)+f(x-y)-2f(x)),
\end{eqnarray*}
where $\rho$ is a fixed non-Archimedean number with $|\rho|<|2|$.
Furthermore, we prove the Hyers-Ulam stability of the above additive
$\rho$-functional equations in non-Archimedean Banach spaces.

Subject: Analysis
Abstract Number : SS-A8-513112346 [Modifiy] [Delete] (with private passwords)

• Characterizations of PvMDs
Gyu Whan Chang*, Incheon National University, whan@inu.ac.kr

Abstract: Let $D$ be an integral domain with quotient field $K$, $F(D)$ be the set of nonzero fractional ideals of $D$, and $f(D) = \{I \in F(D) \mid I$ is finitely generated$\}$. For $I \in F(D)$, let $I^{-1} = \{x \in K \mid xI \subseteq D\}$; then $I^{-1} \in F(D)$. Hence, $I_v = (I^{-1})^{-1}$ and $I_t = \bigcup \{J_v \mid J \subseteq I$ and $J \in f(D)\}$ are well-defined nonzero fractional ideals of $D$. We say that $I \in F(D)$ is $t$-invertible if $(II^{-1})_t = D$, and a Pr\"ufer $v$-multiplication domain (P$v$MD) is an integral domain in which every nonzero finitely generated ideal is $t$-invertible. In this talk, we give some new characterizations of P$v$MDs.

Subject: Algebra
Abstract Number : SS-A8-515183418 [Modifiy] [Delete] (with private passwords)

• An efficient method for the Cahn-Hilliard equation in complex domains
Darae Jeong*, Kangwon National University, tinayoyo@kangwon.ac.kr
Junxiang Yang, Korea University, Junseok Kim, Korea University
Abstract: In this study, we present a practical and efficient numerical method for the Cahn-Hilliard (CH) equation in the two- and three-dimensional complex domains. We propose a simple mathematical model for the binary mixture in the complex domains. The model is based on the ternary CH system. An arbitrary domain is represented by the third phase, which is fixed during the temporal evolution of the other phases. Using the local conservation of the sum of the phases, we only need to solve a binary CH equation with a source term. For the numerical solution, we use a practically unconditionally gradient stable scheme for the multi-component CH system. Computational experiments are presented to demonstrate the performance and effectiveness of the proposed method. The numerical results confirm that the proposed algorithm can deal with the complex domains efficiently.

Subject: Applied Math
Abstract Number : SS-A8-521105935 [Modifiy] [Delete] (with private passwords)

• The Gauge-Uzawa method to solve the non-constant variable desity flows
Pyo, Jae-Hong*, Kangwon National University, jhpyo@kangwon.ac.kr

Abstract: The Gauge-Uzawa method [GUM], which is a projection type algorithm
to solve the time depend Navier-Stokes equations, has been constructed and
extended to more complicated problems.
Because the studies on GUM have been performed with the first order
backward Euler scheme, we have been concentrated to impose BDF2 algorithm.
But the classical second order GUM displays weak stability behavior.
Recently, the second order stabilized Gauge-Uzawa method has been
newly constructed.
In this talk, we will extend to solve time evolution Navier-Stokes equations
with variable density. We will present theoretical results for stabilities
and numerical simulations for air bubble rising in water and Rayleigh-Taylor.

Subject: Applied math
Abstract Number : SS-A8-521172825 [Modifiy] [Delete] (with private passwords)

• Corrected Heston's Stochastic Volatility Model for Vunlerable Option
Min-Ku Lee*, Kunsan National University, mgcorea@kunsan.ac.kr
Jeong-Hoon Kim, Yonsei University
Abstract: Fouque et al. [1] introduced the corrected Heston's stochastic volatility model. This research studied the price of the vulnerable options [2] and analyzed the features of the vulnerable options under the corrected Heston's stochastic volatility model.

[1] Fouque. J.-P., Papanicolaou, G., Sircar, R., Solna. K. (2011) Multiscale Stochastic Volatility for Equity, Interest Rate, and Credit Derivatives, Cambridge University Press.

[2] Klein, P., Inglis, M. (2011) Pricing Vulnerable European Options When the Option's Payoff can Increase the risk of Financial Distress, Journal of Banking and Finance, 25, 993-1012.

Subject: Applied Math
Abstract Number : SS-A8-525195140 [Modifiy] [Delete] (with private passwords)

• On self-dual codes with fixed-point free involution automorphism
When-Hyuk Choi*, Kangwon National University, whanhyuk@gmail.com

Abstract: Self-dual codes which have a fixed-point free involution as an automorphism is to be investigated.<br />
That class of codes is permutation-equivalent to a code C that has the reverse permutation in its automorphism group.
We classify this class of self-dual code over Galois rings of moderate length.

Subject: algebra
Abstract Number : SS-A8-528062641 [Modifiy] [Delete] (with private passwords)

• A survey on high school education using history of mathematics
Jae Min Chung*, Kyung Hee University, kyungsoo@khu.ac.kr
Jae Min Chung, Kyung Hee University, Kyungsoo Kim, Kyung Hee University
Abstract: It has been reported that using history of mathematics is helpful for students to understand mathematics in the classroom. However, it may be difficult to introduce the history of mathematics in high school classess. In this talk, we present the analysis results of a survey on high school education using history of mathematics.

Subject: Math Education
Abstract Number : SS-A8-528184612 [Modifiy] [Delete] (with private passwords)

• Fundamental mathematics in Bayesian deep learning
Kyungsoo Kim*, Kyung Hee University, kyungsoo@khu.ac.kr
Daehoon Gwak, Kyung Hee University, Dasol Hwang, Kyung Hee University, Hyunho Lee, Kyung Hee University, Kyungsoo Kim, Kyung Hee University
Abstract: Since conventional deep learning model is a point estimation model that deterministically predicts values, it is difficult to quantify the reliability of the model. The Bayesian deep learning is recently introduced from a stochastic approach to overcome this drawback. In this talk, we present fundamental mathematics in bayesian deep learning. (* Daehoon Gwak, Dasol Hwang, and Hyunho Lee contributed equally to this study as first authors.)

Subject: Applied Math
Abstract Number : SS-A8-528185232 [Modifiy] [Delete] (with private passwords)

• Incompressible flows
*, , joroh@hallym.ac.kr

Abstract: In this talk, we will consider the incompressible flows on an unbounded domain.
Then we will see very special properties of the solutions of the incompressible flows on an unbounded domain.
As a result we will look at the Euler equations on an unbounded domain.

Subject:
Abstract Number : SS-A8-530145947 [Modifiy] [Delete] (with private passwords)

• Continued fractions of Lucas numbers
Seunghyun Seo*, Kangwon National University, shyunseo@kangwon.ac.kr

Abstract: Given nonnegative integer $n$, let $F_n$ and $L_n$ denote the $n$th Fibonacci and Lucas number.
In 1989, Vajda gave the identity
\begin{align}
\frac{F_{m(r+1)}}{F_{mr}}
=
L_m + \cfrac{(-1)^m}{
L_m + \cfrac{(-1)^m}{
L_m + \cfrac{(-1)^m}{
\ddots + \cfrac{(-1)^m}{
L_m}}}},
\end{align}
for positive integer $m$ and $r$, where $L_m$ appears $r$ times.
In this talk, we prove the identity combinatorially, which was asked by Benjamin and Quinn in 2003.
This is joint work Heesung Shin(Inha University).

Subject: Algebra
Abstract Number : SS-A8-601115704 [Modifiy] [Delete] (with private passwords)

• Analytic real algebras
Young Joo Seo*, Daejin University, heekim@hanyang.ac.kr

Abstract: In this talk, we construct some real algebras by using elementary functions and discuss some relations between several axioms and its related conditions for such functions. We obtain some conditions for real-valued functions to be a d-algebra.

Subject: Algebra
Abstract Number : SS-A8-601140929 [Modifiy] [Delete] (with private passwords)

• Almost psi-fuzzy semi-ideals in groupoids
Hee Sik Kim*, Hanyang University, heekim@hanyang.ac.kr

Abstract: In this talk, we introduce the notions of an almost psi-fuzzy subalgebra and an almost psi-fuzzy semi-ideal in groupoids, which are generalizations of a fuzzy subalgebra and a fuzzy ideal, respectively. We generalize several properties related to fuzzy algebraic structures.

Subject: Algebra
Abstract Number : SS-A8-601141614 [Modifiy] [Delete] (with private passwords)

• An additive double rho-functional inequality in beta-homogeneous F-spaces
Sungsik Yun*, Hanshin University, ssyun@hs.ac.kr

Abstract: In this talk, we solve the following additive double $\rho$-function inequalities
\begin{eqnarray*}
\begin{split}
& \|f(x+y+z)+f(x-y)-f(z)-2f(x)\|\\
&\leq\|\rho_{1}(f(x+y+z)-f(x)-f(y)-f(z))\|+\|\rho_{2}(f(x+y+z)-f(x+y)-f(z))\|
\end{split}\end{eqnarray*}
where $\rho_{1},\rho_{2}$ are fixed complex numbers with $|2\rho_{1}|^{\beta_2}+|\rho_{2}|^{\beta_2}< 1$, and
\begin{eqnarray*}
\begin{split}
& \|f(x+y+z)-f(x)-f(y)-f(z)\|\\
&\leq\|\rho_{1}(f(x+y+z)+f(x-y)-f(z)-2f(x))\|+\|\rho_{2}(f(x+y+z)-f(x+y)-f(z))\|,
\end{split}\end{eqnarray*}
where $\rho_{1},\rho_{2}$ are fixed complex numbers with $|\rho_{1}|^{\beta_2}+|\rho_{2}|^{\beta_2}< 1$, and prove the Hyers-Ulam stability of the additive double $\rho$-functional inequalities in $\beta$-homogeneous F-spaces

Subject: Analysis
Abstract Number : SS-A8-601142110 [Modifiy] [Delete] (with private passwords)

Dong Yun Shin*, University of Seoul, dyshin@uos.ac.kr

Abstract: In this talk, we introduce set-valued additive functional equations and prove the Hyers-Ulam stability of the set-valued additive functional equations by using the fixed point method.

Subject: Analysis
Abstract Number : SS-A8-601142615 [Modifiy] [Delete] (with private passwords)

• C*-ternary Jordan bimultipliers in C*-ternary algebras and its applications
Jung Rye Lee*, Daejin University, jrlee@daejin.ac.kr

Abstract: In this talk, we use the fixed point method to investigate the
Hyers-Ulam stability of $C^*$-ternary bimultipliers and $C^*$-ternary Jordan bimultipliers on $C^*$-ternary algebras for the following 2-dimensional functional equation
$$f(x+y,z+w)+f(x+y,z-w)+f(x-y,z+w)+f(x-y,z-w)=4f(x,z).$$

Subject: Analysis
Abstract Number : SS-A8-601142910 [Modifiy] [Delete] (with private passwords)

• The superstability of a generalized trigonometric functioal equations
Gwang Hui kim*, Kangnam university, ghkim@kangnam.ac.kr

Abstract: In this Talk, we study the superstability of the Wilson (generalized cosine) equation and the sine functional equation from the following generalized difference type cosine functional equation
\begin{align*}
f(x+y)- g(x-y)=\lambda \cdot h(x)k(y) \;\;\;\; \lambda : constant,
\end{align*}
which $f,g,h,k: V \to A$ can be considered the mixed functional equation of the cosine type functions, and the Wilson type functional equations, $V$ is a vector space and $A$ is a unital normed space.

Subject: Analysis
Abstract Number : SS-A8-602131446 [Modifiy] [Delete] (with private passwords)

• Introduction to regularity theory for elliptic equations of $p$-Laplacian type
Jihoon Ok*, Kyung Hee University, jihoonok@khu.ac.kr

Abstract: In this talk, we discuss with basic regularity results for elliptice equations of $p$-Laplacian type and related topics.

Subject: Analysis
Abstract Number : SS-A8-604100238 [Modifiy] [Delete] (with private passwords)

• Lifts of the duadic codes over $Z_{p^e}$
Kwang Ho Kim*, Kangwon National University, prime229@gmail.com

Abstract: Quadratic residue codes are duadic codes when the length is prime. We restrict the length $n$ of the duadic codes to prime. If $p$ and the length $n$ are given, we can find the lifts of them over arbitrary $e$ containing the lifts of quadratic residue codes.

Subject: algebra
Abstract Number : SS-A8-604143813 [Modifiy] [Delete] (with private passwords)

• Numerical approaches for option pricing under mixed fractional Brownian motion
Younhee Lee*, Chungnam National University, lyounhee@cnu.ac.kr
Heungsu Choi, Chungnam National University
Abstract: In this talk, a mixed fractional Brownian motion (mfBm) is considered to describe long-range dependence in the financial market. We develop numerical methods for pricing European and American options under the mfBm and analyze the stability of these proposed methods. Numerical simulations are carried out to show our analysis results.

Subject: Applied Mathematics
Abstract Number : SS-A8-605110651 [Modifiy] [Delete] (with private passwords)

• On the wave-breaking phenomena and global existence for the periodic rotation-two-component Camassa-Holm system
Byungsoo Moon*, Incheon National University, bsmoon@inu.ac.kr

Abstract: In this talk, we discuss the periodic rotation-two-component Camassa-Holm system, which can be derived from the f-plane governing equations for the geophysical water waves with a constant underlying current. The nonlocal nonlinearities on blow-up criteria and wave-breaking phenomena are established. Finally, a sufficient condition for global solutions is obtained by using a method of the Lyapunov function.

Subject: Analysis
Abstract Number : SS-A8-607164601 [Modifiy] [Delete] (with private passwords)

• Top Pills Online Matdioria
Matdioria*, matNego@wmaill.site, matNego@wmaill.site

Abstract: Propecia Asepsia [url=http://cial20mgprice.com]cialis[/url] Cialis Laboratorios Lilly Over The Counter Deltasone Medication Generique Amoxicillin Pharmacie Gratuit Tablette Pour

Subject: Top Pills Online Matdioria
Abstract Number : SS-A8-311105231 [Modifiy] [Delete] (with private passwords)