• International Journal of Fuzzy Logic and Intelligent Systems
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• 제1권1호
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• pp.69-74
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• 2001

We introduce fuzzy semi-regular spaces. Furthermore, we investigate the relations among fuzzy super continuity, fuzzy $\delta$-continuity and fuzzy almost continuity in fuzzy topological spaces in view of the definition of Sostak. We study some properties between them.

• Reproductive and Developmental Biology
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• 제34권1호
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• pp.47-53
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• 2010

Glycoprotein hormones have a common $\alpha$-subunit that is involved in the signaling pathway together with G protein, adenylcyclase and cAMP induction; however, it is an unclear how this common structure is related to hormonal action. To determine the biological functions of the COOH-terminal amino acids in the $\alpha$-subunit of these glycoprotein hormones, a tethered-molecule was constructed by fusing the $NH_2$-terminus of the $\alpha$-subunit to the COOH-terminus of the $\beta$-subunit of equine chorionic gonadotropin (eCG). The following deletion mutants were created by PCR; Ile was inserted at position 96 to form ${\Delta}96$, Lys was substituted at position 95 to form ${\Delta}95$, His was inserted at position 93 to form ${\Delta}93$ and Tyr was substituted at position 87 to form ${\Delta}87$. Each mutant was transfected into CHO-K1 cells. Tethered-wt eCG, and ${\Delta}96$, ${\Delta}95$, and ${\Delta}93$ mutants were efficiently secreted into the medium but the ${\Delta}87$ mutant was not secreted. Interestingly, the RT-PCR, real-time PCR, and northern blot analyses confirmed that the RNA was transcribed in the ${\Delta}87$ mutant. However, the ${\Delta}87$ mutant protein was not detected in the medium or the intracellular fraction of the cell lysates. The LH- and FSH-like activities of the recombinant proteins were assayed in terms of cAMP production using rat LH/CG and rat FSH receptors. The metabolic clearance rate (MCR) was determined by injecting rec-eCG (2 IU) into the tail vein. The ${\Delta}95$ and ${\Delta}93$ mutants were completely inactive in both the LH- and FSH-like activity assays. The ${\Delta}96$ mutant showed slight activity in the LH-like activity assay. In comparison to the wild type, the activity of the ${\Delta}96$ mutant in the FSH-like activity assay was the highest among all the mutants. The MCR assay in which rec-eCG was injected showed a peak at 10 min in all the treatment groups, which disappeared 4 h after injection. These results imply a direct interaction between the receptor and the COOH-terminal region of the a-subunit. The data also reveal a significant difference in the mechanism by which the eCG hormone interacts with the rLH and rFSH receptors. The COOH-terminal region of the $\alpha$-subunit is very important for the secretion and functioning of this hormone.

• Journal of Communications and Networks
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• 제12권5호
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• pp.399-405
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• 2010

Blind equalization techniques have been used in broadcast and multipoint communications. In this paper, two criteria of minimizing Euclidian distance between two probability density functions (PDFs) for adaptive blind equalizers are presented. For PDF calculation, Parzen window estimator is used. One criterion is to use a set of randomly generated desired symbols at the receiver so that PDF of the generated symbols matches that of the transmitted symbols. The second method is to use a set of Dirac delta functions in place of the PDF of the transmitted symbols. From the simulation results, the proposed methods significantly outperform the constant modulus algorithm in multipath channel environments.

• 대한전자공학회논문지
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• 제22권5호
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• pp.83-86
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• 1985

Fredholm 제 2종 적분 방정식의 수치해법에 관한 새로운 기범을 제시하였다. 문제 영역의 절점에 데이터를 혼합 형태로 가함으로써 근사해를 구하였다. 수치 해법에서 오차를 줄이기 위하여 모든 절정에서 2번 연속 미분가능한 cubic B-spline 함수를 기저함수로 사용하였다. 기저함수로서 cubit B-spline 함수를 이용한 본 기법의 결과와 기저함수로 pulse 함수 test 함수로는 delta 함수를 이용한 모멘트법의 결과를 예제를 통하여 비교하였다. 또한 이 방법에 대한 수렴 조건을 기술 하였다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제2권2호
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• pp.115-126
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• 1995

Let A be the class of univalent functions f(z)=z＋${\alpha}$$_2$z$^2$＋${\alpha}$$_3$z$^3$＋…(1.1) which are analytic in the unit disk $\Delta$= {z：│z│＜1}. Let S＊(p) be the subclass of A composing of functions which are starlike of order $\rho$. A function f(z) belonging to the class A is said to be starlike of order $\rho$ ($\rho$(equation omitted) 0) if and only if z$\^$-l/ f(z) (equation omitted) 0 (z$\in$$\Delta$) and (equation omitted (1.2).(omitted)

• 대한수학회논문집
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• 제33권1호
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• pp.85-101
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• 2018

Let S be a polynomial ring over a field K, with a monomial order ${\prec}$, and let I be an unmixed graded ideal of S. In this paper we study two functions associated to I: The minimum distance function ${\delta}_I$ and the footprint function $fp_I$. It is shown that ${\delta}_I$ is positive and that $fp_I$ is positive if the initial ideal of I is unmixed. Then we show that if I is radical and its associated primes are generated by linear forms, then ${\delta}_I$ is strictly decreasing until it reaches the asymptotic value 1. If I is the edge ideal of a Cohen-Macaulay bipartite graph, we show that ${\delta}_I(d)=1$ for d greater than or equal to the regularity of S/I. For a graded ideal of dimension ${\geq}1$, whose initial ideal is a complete intersection, we give an exact sharp lower bound for the corresponding minimum distance function.

• 대한수학회보
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• 제51권6호
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• pp.1625-1647
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• 2014

By making use of the familiar concept of neighborhoods of analytic functions, we prove several inclusion relationships associated with the (n, ${\delta}$)-neighborhoods of certain subclasses of p-valent analytic functions of complex order with missing coefficients, which are introduced here by means of the Saitoh operator. Special cases of some of the results obtained here are shown to yield known results.

• 호남수학학술지
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• 제40권3호
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• pp.391-400
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• 2018

The object of this paper to construct a new class $$A^m_{{\mu},{\lambda},{\delta}}({\alpha},{\beta},{\gamma},t,{\Psi})$$ of bi-univalent functions of complex order defined in the open unit disc. The second and the third coefficients of the Taylor-Maclaurin series for functions in the new subclass are determined. Several special consequences of the results are also indicated.

• 호남수학학술지
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• 제40권3호
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• pp.433-446
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• 2018

In this present investigation, we introduce a new class of harmonic univalent functions of the form $f=h+{\bar{g}}$ in the open unit disk ${\Delta}$. We get basic properties, like, necessary and sufficient convolution conditions, distortion bounds, compactness and extreme points for these classes of functions.

• 인터넷정보학회논문지
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• 제15권3호
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• pp.71-77
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• 2014

상호정보 포텐셜과 델타 함수열 (cross-information potential and Dirac-delta functions, CIPD) 을 이용한 Equalizer 알고리듬이 충격성 잡음 하에서도 채널의 ISI 제거 성능이 우수한 반면, 블록 처리 방식으로 가중치 갱신을 행하고 있어서 계산량이 많다는 단점을 갖고 있다. 이 논문에서는 CIPD 알고리듬의 계산량을 크게 줄일 수 있는 방법으로서 매 샘플 시간마다 수행하는 CIPD 알고리듬의 이중 합산을 단일 합산으로 바꿀 수 있는 방법을 제시하였다. 실험 결과에서 제안된 방식은 기존 CIPD 알고리듬과 동일한 기울기 학습 곡선을 나타냈다. 또한 충격성 잡음 상황에서도 기존 방식이 블록처리 데이터 수에 비례하는 계산량을 나타낸 반면 제안된 방식은 이와 관계없이 더 작은 계산량을 유지하면서 CIPD 알고리듬과 동일한 기울기 값을 산출해낸다.