• 충청수학회지
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• 제35권3호
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• pp.227-234
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• 2022

Let 𝔽_q be a finite field with odd q elements. In this article, we prove that if E ⊆ 𝔽^d_q, d ≥ 2, and |E| ≥ q, then there exists a set Y ⊆ 𝔽^d_q with |Y| ~ q^d such that for all y ∈ Y, the number of distances between the point y and the set E is ~ q. As a corollary, we obtain that for each set E ⊆ 𝔽^d_q with |E| ≥ q, there exists a set Y ⊆ 𝔽^d_q with |Y| ~ q^d so that any set E ∪ {y} with y ∈ Y determines a positive proportion of all possible distances. The averaging argument and the pigeonhole principle play a crucial role in proving our results.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2002년도 ITC-CSCC -1
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• pp.393-396
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• 2002

In this paper, we give the definitions of the q-Haar and q-Gabor wavelet. Instead of using the conventional Gaussian distribution as a kernel of the Gabor wavelet, if the q-normal distribution is used, we can get the q-Gabor wavelet as a possible generalization of the Gabor wavelet. The q-normal distribution, which is given by the author, is one of the generalized Gaussian distribution. On the other hand, if two sets of the q-normal distribution are connected anti-symmetrically, we can get the q-Haar wavelet as a possible generalization of the Haiw wavelet. We give experiments on the q-eabor and q-Haar wavelet and discuss about the q-Gabor and q-Haar wavelet.

• 대한수학회보
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• 제53권2호
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• pp.411-421
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• 2016

In this paper, we investigate the problem of transcendental entire functions that share two values with one of their derivative. Let f be a transcendental entire function, n and k be two positive integers. If $f^n-Q_1$ and $(f^n)^{(k)}-Q_2$ share 0 CM, and $n{\geq}k+1$, then $(f^n)^{(k)}{\equiv}{\frac{Q_2}{Q_1}}f^n$. Furthermore, if $Q_1=Q_2$, then $f=ce^{\frac{\lambda}{n}z}$, where $Q_1$, $Q_2$ are polynomials with $Q_1Q_2{\not\equiv}0$, and c, ${\lambda}$ are non-zero constants such that ${\lambda}^k=1$. This result shows that the Conjecture given by W. $L{\ddot{u}}$, Q. Li and C. Yang [On the transcendental entire solutions of a class of differential equations, Bull. Korean Math. Soc. 51 (2014), no. 5, 1281-1289.] is true. Also we exhibit some examples to show that the conditions of our result are the best possible.

• 전자공학회논문지
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• 제53권11호
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• pp.66-70
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• 2016

본 논문에서는 심장박동 측정 레이더 송수신기용 24 GHz I/Q 발생기를 제안한다. 공정 변화에 따른 I/Q LO 신호간의 부정합 특성을 개선하기 위하여 인덕터와 캐패시터로 구성된 high-pass 위상천이기와 low-pass 위상천이기 기반 24 GHz I/Q LO 발생기를 제안하였다. 제안한 24 GHz I/Q 발생기는 LO 버퍼와 high-pass 위상천이기와 low-pass 위상천이기 구성된 24 GHz I/Q LO 발생기는 65 nm CMOS 공정에서 설계되었고, 전원 전압 1 V에서 8 mA의 전류를 소모하면서 24.05 GHz에서 24.25 GHz의 주파수 대역에서 7.5 dB의 전압 이득, 2.3 dB의 잡음 지수, 공정 및 온도 변화에 대해 0.1 dB의 I/Q 이득 부정합, 4.3도의 I/Q 위상 부정합의 성능을 보인다.

• 대한수학회보
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• 제51권1호
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• pp.83-98
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• 2014

During the last decade, several papers have focused on linear q-difference equations of the form ${\sum}^n_{j=0}a_j(z)f(q^jz)=a_{n+1}(z)$ with entire or meromorphic coefficients. A tool for studying these equations is a q-difference analogue of the lemma on the logarithmic derivative, valid for meromorphic functions of finite logarithmic order ${\rho}_{log}$. It is shown, under certain assumptions, that ${\rho}_{log}(f)$ = max${{\rho}_{log}(a_j)}$ + 1. Moreover, it is illustrated that a q-Casorati determinant plays a similar role in the theory of linear q-difference equations as a Wronskian determinant in the theory of linear differential equations. As a consequence of the main results, it follows that the q-gamma function and the q-exponential functions all have logarithmic order two.

• Journal of applied mathematics & informatics
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• 제24권1_2호
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• pp.421-426
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• 2007

The problem of vertex labeling with a condition at distance two in a graph, is a variation of Hale's channel assignment problem, which was first explored by Griggs and Yeh. For positive integer $p{\geq}q$, the ${\lambda}_{p,q}$-number of graph G, denoted ${\lambda}(G;p,q)$, is the smallest span among all integer labellings of V(G) such that vertices at distance two receive labels which differ by at least q and adjacent vertices receive labels which differ by at least p. Van den Heuvel and McGuinness have proved that ${\lambda}(G;p,q){\leq}(4q-2){\Delta}+10p+38q-24$ for any planar graph G with maximum degree ${\Delta}$. In this paper, we studied the upper bound of ${\lambda}_{p,q}$-number of some planar graphs. It is proved that ${\lambda}(G;p,q){\leq}(2q-1){\Delta}+2(2p-1)$ if G is an outerplanar graph and ${\lambda}(G;p,q){\leq}(2q-1){\Delta}+6p-4q-1$ if G is a Halin graph.

• 한국육종학회지
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• 제41권3호
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• pp.236-243
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• 2009

벼멸구 저항성 유전자의 mapping, 벼멸구 저항성 관련 QTL 분석, 주요 농업형질과 벼멸구 저항성과의 관계 분석 등에 관한 연구를 수행 하여 얻은 결과는 다음과 같다. 벼멸구 저항성을 가진 통일형 벼인 '삼강'과 자포니카형 벼인 '낙동'을 교배하여 양성된 $F_1$의 약을 배양하여 육성된 120 DH 계통을 유전자 지도 작성을 위한 mapping 재료로 이용 하였다. Maker 검정에서 양친에 다양성을 나타낸 SSR 73, STS 89개 등 총 162개의 marker를 이용하여 전체 길이가 1,884 cM이고 평균 marker간 거리가 11.6 cM인 연관지도를 작성하였다. 유전자지도 작성에 이용된 120 DH 계통에 대한 벼멸구 저항성 정도를 조사하여 저항성 관련 QTL을 분석한 바, 3번, 6번, 7번, 8번 그리고 12번 염색체에서 1개씩 총 5개의 QTL을 확인하고 이들을 qBPR3, qBPR6, qBPR7, qBPR8, qBPR12로 명명하였다. 간장, 수장, 수수 및 출수일수에 대한 QTL을 분석하여, 총8개의 QTL이 7개의 염색체에 위치하는 것으로 확인되었다. 벼멸구 저항성과 주요 농업형질관련 QTL과의 연관관계를 분석한 바, 3번 염색체 상의 벼멸구 저항성 QTL(qBPR3)이 간장 및 수수 관련 QTL(qCL3, qNP6)과 연관되어 있었으며, 7번 염색체 상의 qBPR7은 분상질립 관련 QTL qPGC7.1과 qPWBP7.2과 그리고 8번 염색체상의 벼멸구 저항성 QTL 역시 간장관련 QTL(qCL8)과 연관되어 있는 것으로 나타났다.

• 대한수학회보
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• 제52권1호
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• pp.35-43
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• 2015

Let q > 1 be an odd integer and c be a fixed integer with (c, q) = 1. For each integer a with $1{\leq}a{\leq}q-1$, it is clear that the exists one and only one b with $0{\leq}b{\leq}q-1$ such that $ab{\equiv}c$ (mod q). Let N(c, q) denote the number of all solutions of the congruence equation $ab{\equiv}c$ (mod q) for $1{\leq}a$, $b{\leq}q-1$ in which a and $\bar{b}$ are of opposite parity, where $\bar{b}$ is defined by the congruence equation $b\bar{b}{\equiv}1$ (modq). The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the mean value properties of a summation involving $(N(c,q)-\frac{1}{2}{\phi}(q))$ and Kloosterman sums, and give a sharper asymptotic formula for it.

• Clinical and Experimental Pediatrics
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• 제59권sup1호
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• pp.19-24
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• 2016

Constitutional interstitial deletions of the long arm of chromosome 5 (5q) are quite rare, and the corresponding phenotype is not yet clearly delineated. Severe mental retardation has been described in most patients who present 5q deletions. Specifically, the interstitial deletion of chromosome 5q33.3q35.1, an extremely rare chromosomal aberration, is characterized by mental retardation, developmental delay, and facial dysmorphism. Although the severity of mental retardation varies across cases, it is the most common feature described in patients who present the 5q33.3q35.1 deletion. Here, we report a case of a de novo deletion of 5q33.3q35.1, 46,XY,del(5)(q33.3q35.1) in an 11-year-old boy with mental retardation; to the best of our knowledge this is the first case in Korea to be reported. He was diagnosed with severe mental retardation, developmental delay, facial dysmorphisms, dental anomalies, and epilepsy. Chromosomal microarray analysis using the comparative genomic hybridization array method revealed a 16-Mb-long deletion of 5q33. 3q35.1(156,409,412-172,584,708)x1. Understanding this deletion may help draw a rough phenotypic map of 5q and correlate the phenotypes with specific chromosomal regions. The 5q33.3q35.1 deletion is a rare condition; however, accurate diagnosis of the associated mental retardation is important to ensure proper genetic counseling and to guide patients as part of long-term management.

• 화약ㆍ발파
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• 제35권4호
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• pp.27-35
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• 2017

석회석 광산 갱도 내 22 곳의 측정지점을 선정하여 RMR, Q-system, GSI와 같은 암반분류법을 적용하였다. SRF와 $J_w$를 1로 한 수정 Q(Q')와 지하수 조건을 '완전 건조'로 하고 불연속면의 방향 보정을 '0'으로 한 수정 RMR(${RMR_{89}}^{\prime}$)도 계산하였다. Q-기본 RMR, Q-최종 RMR, ${GSI-RMR_{89}}^{\prime}$, GSI-Q' 간의 상관관계를 분석한 결과 ${GSI-RMR_{89}}^{\prime}$ 의 상관성이 가장 높은 것으로 나타났다. 계수비를 기초로 파괴 변형률을 구했으며, 대부분의 측정지점이 '낮은 파괴 변형률' 등급에 속하는 것으로 나타나 안정한 것으로 평가되었다.