• Journal of applied mathematics & informatics
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• 제30권1_2호
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• pp.253-264
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• 2012

In the present article, we construct the exact traveling wave solutions of nonlinear PDEs in the mathematical physics via the (1+1)-dimensional Boussinesq equation by using the following two methods: (i) A further improved ($\frac{G}{G}$) - expansion method, where $G=G({\xi})$ satisfies the auxiliary ordinary differential equation $[G^{\prime}({\xi})]^2=aG^2({\xi})+bG^4({\xi})+cG^6({\xi})$, where ${\xi}=x-Vt$ while $a$, $b$, $c$ and $V$ are constants. (ii) The well known extended tanh-function method. We show that some of the exact solutions obtained by these two methods are equivalent. Note that the first method (i) has not been used by anyone before which gives more exact solutions than the second method (ii).

• Journal of applied mathematics & informatics
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• 제33권1_2호
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• pp.173-183
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• 2015

A radio k-labeling f of a graph G is a function f from V (G) to $Z^+{\cup}\{0\}$ such that $d(x,y)+{\mid}f(x)-f(y){\mid}{\geq}k+1$ for every two distinct vertices x and y of G, where d(x, y) is the distance between any two vertices $x,y{\in}G$. The span of a radio k-labeling f is denoted by sp(f) and defined as max$\{{\mid}f(x)-f(y){\mid}:x,y{\in}V(G)\}$. The radio k-labeling is a radio labeling when k = diam(G). In other words, a radio labeling is an injective function $f:V(G){\rightarrow}Z^+{\cup}\{0\}$ such that $${\mid}f(x)=f(y){\mid}{\geq}diam(G)+1-d(x,y)$$ for any pair of vertices $x,y{\in}G$. The radio number of G denoted by rn(G), is the lowest span taken over all radio labelings of the graph. When k = diam(G) - 1, a radio k-labeling is called a radio antipodal labeling. An antipodal labeling for a graph G is a function $f:V(G){\rightarrow}\{0,1,2,{\ldots}\}$ such that $d(x,y)+{\mid}f(x)-f(y){\mid}{\geq}diam(G)$ holds for all $x,y{\in}G$. The radio antipodal number for G denoted by an(G), is the minimum span of an antipodal labeling admitted by G. In this paper, we investigate the exact value of the radio number and radio antipodal number for the circulant graphs G(4k + 2; {1, 2}).

• Genomics & Informatics
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• 제16권1호
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• pp.2-9
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• 2018

Olfactory receptors (ORs) in mammals are generally considered to function as chemosensors in the olfactory organs of animals. They are membrane proteins that traverse the cytoplasmic membrane seven times and work generally by coupling to heterotrimeric G protein. The OR is a G protein-coupled receptor that binds the guanine nucleotide-binding $G{\alpha}_{olf}$ subunit and the $G{\beta}{\gamma}$ dimer to recognize a wide spectrum of organic compounds in accordance with its cognate ligand. Mammalian ORs were originally identified from the olfactory epithelium of rat. However, it has been recently reported that the expression of ORs is not limited to the olfactory organ. In recent decades, they have been found to be expressed in diverse organs or tissues and even tumors in mammals. In this review, the expression and expected function of olfactory receptors that exist throughout an organism's system are discussed.

• Korean Journal of Mathematics
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• 제28권3호
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• pp.459-481
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• 2020

In this paper we introduce relative L-order of a nonconstant entire function f with respect to another nonconstant entire function g. Also we investigate the existence of relative L-proximate order of f with respect to g.

• 대한수학회보
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• 제52권3호
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• pp.851-864
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• 2015

In this paper, we study the generalized Littlewood-Paley operators. It is shown that the generalized g-function, Lusin area function and $g^*_{\lambda}$-function on any BMO function are either infinite everywhere, or finite almost everywhere, respectively; and in the latter case, such operators are bounded from BMO($\mathbb{R}^n$) to BLO($\mathbb{R}^n$), which improve and generalize some previous results.

• 대한수학회보
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• 제50권6호
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• pp.1923-1936
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• 2013

We prove that the intrinsic square functions including Lusin area integral and Littlewood-Paley $g^*_{\lambda}$-function as defined by Wilson, are bounded in a class of function spaces include weighted Morrey spaces. The corresponding commutators generated by BMO functions are also considered.

• Journal of applied mathematics & informatics
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• 제5권1호
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• pp.241-252
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• 1998

In this paper we try to construct the Green's function and investigate some properties of the Green's function. Also we discuss the variation $\delta$G($\chi$,t) of the Green's function G($\chi$,t) when the interval is varied.

• Journal of applied mathematics & informatics
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• 제23권1_2호
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• pp.489-496
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• 2007

Let g be a continuous function on an interval I which is not constant on any subinterval of I, and let ${\mu}$ be a Borel measure on I. In this paper we give a necessary and sufficient conditions guaranteeing, for the strongly measurable function f on I with values in a Banach space X, the existence of a continuous primitive function F on I with respect to g.

• Korean Journal of Mathematics
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• 제31권4호
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• pp.433-444
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• 2023

Given a function f analytic in open disk centred at origin of radius unity and satisfying the condition |f(z)/g(z) - 1| < 1 for a analytic function g with certain prescribed conditions in the unit disk, radii constants R are determined for the values of Rzf'(Rz)/f(Rz) to lie inside the domain enclosed by the curve |w² - 1| = 1 (lemniscate of Bernoulli). This, in turn, provides a partial solution to the conjectures and problems for determination of sharp bounds R for such functions f.

• 한국통신학회논문지
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• 제36권12B호
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• pp.1601-1610
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• 2011

본 논문에서는 100G 이더넷과 100G OTN에 대한 표준화 활동, 요구사항 및 관련 기술들에 대해서 고찰해 본다. 현재 망 사업자와 캐리어 업체들을 중심으로 100Gbps 전송용량에 대한 수요가 점자 증가하고 있다. 또한 OTN/DWDM 기반의 초고속 광 전달망은 폭발적으로 증가하고 있는 이더넷 트래픽을 효과적으로 수용하기 위한 구조로 변화해 가고 있다. 본 논문에서는 상용 FPGA를 사용하여 OTU4 프레이머를 구현하고 그 성능을 실험적으로 검증하였다. 구현된 OTU4 프레이머는 병렬 신호처리 기능, 다중 레인 운용 기능, 범용 매핑 절차 기능 및 FEC 기능을 가진다. 또한 구현된 OTU4 프레이머는 최대 120Gbps 신호처리 용량을 가지고 있어 $12{\times}10G$ 이더넷 또는 $3{\times}40G$ 이더넷 응용에 활용할 수 있다는 장점을 가진다. 본 연구는 ASIC이 아닌 상용 FPGA를 이용하여 OTU4 프레이머를 구현함으로써 빠르게 변해가는 시장상황에 유연하게 대처할 수 있으며 이를 토대로 국제표준을 추진할 수 있다는 장점을 가진다.