• 대한수학회논문집
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• 제39권2호
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• pp.345-352
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• 2024

We introduce a new class of bi-partition function c_k(n), which counts the number of bi-color partitions of n in which the second color only appears at the parts that are multiples of k. We consider two partitions to be the same if they can be obtained by switching the color of parts that are congruent to zero modulo k. We show that the generating function for c_k(n) involves the partial theta function and obtain the following congruences: c₂(27n + 26) ≡ 0 (mod 3) and c₃(4n + 2) ≡ 0 (mod 2).

• 대한수학회논문집
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• 제32권2호
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• pp.305-319
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• 2017

Recently many authors have investigated so-called Aleph (${\aleph}$)-function and its various properties. Here, in this paper, we aim at establishing certain integral formulas involving the Aleph (${\aleph}$)-function. Precisely, integrals with product of Aleph (${\aleph}$)-function with Jacobi polynomials, Bessel Maitland function, general class of polynomials were under consideration. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

• 대한수학회논문집
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• 제26권2호
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• pp.273-289
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• 2011

In this paper we dene the concept of a conditional generalized Fourier-Feynman transform on very general function space $C_{a,b}$[0, T]. We then establish the existence of the conditional generalized Fourier-Feynman transform for functionals in a Fresnel type class. We also obtain several results involving the conditional transform. Finally we present functionals to apply our results. The functionals arise naturally in Feynman integration theories and quantum mechanics.

• 충청수학회지
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• 제22권1호
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• pp.17-23
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• 2009

Let F be a finite real abelian extension of a global function field k with G = Gal(F/k). Assume that F is an extension field of the Hilbert class field $K_e$ of k and is contained in a cyclotomic function field $K_n$. Let $\ell$ be any prime number not dividing $ph_k{\mid}G{\mid}$. In this paper, we show that if $\theta{\in}\mathbb{Z}[G]$ annihilates the Sylow $\ell$-subgroup of ${\mathcal{O}}^{\times}_F/{\mathcal{C}}_F$, then (q-1)$\theta$ annihilates the Sylow $\ell$-subgroup of ${\mathcal{Cl}}_F$.

• 대한수학회논문집
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• 제39권3호
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• pp.657-671
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• 2024

In this paper, we use higher order derivatives with regard to symmetric points to introduce a class of multivalent starlike functions. The major deviation is that we define some differential characterizations that are subordinate to a function whose real part is not greater than zero. The primary outcomes of this study are initial coefficients and the Fekete-Szegő inequality for functions falling under the given class. Also, we have obtained an interesting subordination results involving symmetric functions. The results obtained here extend or unify the various other well-known and new results.

• Kyungpook Mathematical Journal
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• 제53권1호
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• pp.13-23
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• 2013

In this present work, the authors obtain Fekete-Szeg$\ddot{o}$ inequality for certain normalized analytic function $f(z)$ defined on the open unit disk for which $$\frac{{\lambda}{\beta}z^3(L(a,c)f(z))^{{\prime}{\prime}{\prime}}+(2{\lambda}{\beta}+{\lambda}-{\beta})z^2(L(a,c)f(z))^{{\prime}{\prime}}+z(L(a,c)f(z))^{{\prime}}}{{\lambda}{\beta}z^2(L(a,c)f(z))^{{\prime}{\prime}}+({\lambda}-{\beta})z(L(a,c)f(z))^{\prime}+(1-{\lambda}+{\beta})(L(a,c)f(z))}\;(0{\leq}{\beta}{\leq}{\lambda}{\leq}1)$$ lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (or convolution) are given. As a special case of this result, Fekete-Szeg$\ddot{o}$ inequality for a class of functions defined through fractional derivatives are obtained.

• 정보처리학회논문지C
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• 제10C권4호
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• pp.441-446
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• 2003

광대역 액세스 망에서 합류, 분배 지점에서의 효율을 고려한 PON(Passive Optical Network)의 설계는 중요한 관심거리가 되고 있다. PON 구조는 매우 간단하지만, 가입자들에서 발생하는 상향 트래픽 제어를 위해서는 매체 접근 제어 프로토콜이 필요하다. 이러한 매체 접근 제어 프로토콜은 트래픽 클래스별 QoS(Quality of Service) 관리 기능, 효율적인 동적 대역 할당(Dynamic Bandwidth Assignment) 기능, CDV(Cell Delay Variation) 최소화 기능 등이 포함되어야 한다. 본 논문에서는 Ethernet-PON(EPON)을 사용하는 광대역 액세스 망에서 여러 트래픽 클래스를 지원하는 매체 접근 제어 프로토콜의 동적 대역 할당 안고리즘을 제시한다. 제안된 알고리즘의 성능 분석을 위해 MDRR 알고리즘과 성능을 비교, 분석하였고, 실험 결과 본 논문에서 제시한 Request-Counter 알고리즘이 보다 더 나은 서비스 품질을 보장받을 수 있음을 확인할 수 있었다.

• 고려인삼학회:학술대회논문집
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• 고려인삼학회 2004년도 추계 학술대회 및 정기총회
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• pp.48-49
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• 2004

A peroxidase[E.C.1.11.1.7] is very important enzymes,e.g., as preventive antioxidants. The function is connected with growth and specialization of plant. It makes from the peroxidase and other product to save itself When a plant have been under stress of environment. A class III peroxidase cDNA was isolated from the flower bud of Panax ginseng C.A. Meyer and named PgPrx3. The PgPrx3 is an ORF(open reading frame) of 1,065 bp and a amino acid of 355 residue. Used BioEdit software to compare the PgPrx3 amino acid sequence with other plants which have already known a result of Identity was Spinacia oleracea(70%), vigna angularis(71%), Nicotiana tabacum(69%) and Linum usitatissimym(65%). The peroxidase of Vigna angularis has high homology relationship with ginseng. for that reason, the PgPx3 is a member of class III peroxidase.

• 생명과학회지
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• 제21권3호
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• pp.473-479
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• 2011

Adenylyl cyclase (AC)는 ATP로부터 cAMP를 형성하는 반응을 촉매한다. AC에 의해 생산된 cAMP는 다양한 신호전달 경로에서 이차전달자로 사용되고 많은 종에서 다양한 세포기능을 조절한다. AC는 1차구조에 따라 6개의 그룹으로 나눌 수 있다. 진핵생물과 Mycobacterium 속에 속하는 세균에서는 class III에 속하는 AC만이 발견된다. Class III에 속하는 AC의 경우 catalytic cyclase 도메인이 dimer를 형성해야만 활성부위가 형성되고 활성을 가지게 된다. 포유류의 AC는 하나의 polypeptide에 2개의 catalytic cyclase 도메인을 가지고 있고, 이 두 개의 도메인이 intramolecular dimerization을 통해서 활성부위를 형성한다. 반면에 mycobacteria의 AC는 polypeptide에 한 개의 catalytic cyclase 도메인을 가지고 있고, homodimer의 4차구조를 형성하여 활성을 가지게 된다. Class III AC의 활성을 위해서 필요한 6개의 아미노산 잔기가 활성부위에 잘 보존되어 있다. 이 6개의 아미노산 잔기는 $Mg^{2+}$과 결합을 하는 2개의 aspartate 잔기쌍, 기질특이성을 부여하는 lysine-aspartate 잔기쌍, 그리고 반응 전이상태를 안정화시키는 arginine-asparagine 잔기쌍들로 이루어져 있다. Mycobacterium tuberculosis H37Rv에서는 16개의 AC 유전자가 발견되었으며, 이 AC의 연구된 특성에 대해 본 총설에서 다룰 것이다.

• Journal of the Korean Statistical Society
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• 제33권3호
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• pp.323-337
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• 2004

This article coined a general class of estimators for various measures in normal population when some' a priori' or guessed value of standard deviation a is available in addition to sample information. The class of estimators is primarily defined for a function of standard deviation. An unbiased estimator and the minimum mean squared error estimator are worked out and the suggested class of estimators is compared with these classical estimators. Numerical computations in terms of percent relative efficiency and absolute relative bias established the merits of the proposed class of estimators especially for small samples. Simulation study confirms the excellence of the proposed class of estimators. The beauty of this article lies in estimation of various measures like standard deviation, variance, Fisher information, precision of sample mean, process capability index $C_{p}$, fourth moment about mean, mean deviation about mean etc. as particular cases of the proposed class of estimators.