• Title/Summary/Keyword: ${Q_S}^{-1}$

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A NOTE ON CONTINUED FRACTIONS WITH SEQUENCES OF PARTIAL QUOTIENTS OVER THE FIELD OF FORMAL POWER SERIES

  • Hu, Xuehai;Shen, Luming
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.4
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    • pp.875-883
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    • 2012
  • Let $\mathbb{F}_q$ be a finite field with q elements and $\mathbb{F}_q((X^{-1}))$ be the field of all formal Laurent series with coefficients lying in $\mathbb{F}_q$. This paper concerns with the size of the set of points $x{\in}\mathbb{F}_q((X^{-1}))$ with their partial quotients $A_n(x)$ both lying in a given subset $\mathbb{B}$ of polynomials in $\mathbb{F}_q[X]$ ($\mathbb{F}_q[X]$ denotes the ring of polynomials with coefficients in $\mathbb{F}_q$) and deg $A_n(x)$ tends to infinity at least with some given speed. Write $E_{\mathbb{B}}=\{x:A_n(x){\in}\mathbb{B},\;deg\;A_n(x){\rightarrow}{\infty}\;as\;n{\rightarrow}{\infty}\}$. It was shown in [8] that the Hausdorff dimension of $E_{\mathbb{B}}$ is inf{$s:{\sum}_{b{\in}\mathbb{B}}(q^{-2\;deg\;b})^s$ < ${\infty}$}. In this note, we will show that the above result is sharp. Moreover, we also attempt to give conditions under which the above dimensional formula still valid if we require the given speed of deg $A_n(x)$ tends to infinity.

Prenatal Diagnosis of Chromosome 22q11.2 Deletions: Experiences in a Single Institution

  • Chae, Yong Hwa;Kwak, Dong Wook;Kim, Moon Young;Park, So Yeon;Lee, Bom Yi;Lee, Yeon Woo;Lee, Young Ho;Song, Mi Jin;Ryu, Hyun Mee
    • Journal of Genetic Medicine
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    • v.10 no.2
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    • pp.99-103
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    • 2013
  • Purpose: This study was designed to determine the frequency and echocardiographic findings of 22q11.2 deletions in fetuses with cardiac defects on fetal ultrasound or familial backgrounds of 22q11.2 deletions. Materials and methods: We retrospectively reviewed the medical and ultrasonographic records of 170 fetuses that underwent fluorescence in situ hybridization (FISH) analysis for chromosome 22q11.2 deletions between February 2001 and April 2013. Results: Among 145 fetuses with cardiac defects, six (4.1%) had 22q11.2 deletions. Deletions of 22q11.2 were detected in 6 (5%) of the 120 fetuses with conotruncal defects: 5 (8.9%) of 56 with tetralogy of Fallot (TOF) and 1 (5.9%) of 17 with double outlet right ventricle (DORV). No deletions were found in cases of pulmonary atresia, truncus arteriosus, right aortic arch, or transposition of the great arteries. No 22q11.2 deletions were found in non-conotruncal cardiac malformations. Among 25 fetuses with familial backgrounds of 22q11.2 deletions, one (4%) had a maternally inherited 22q11.2 deletion with no cardiac findings. Conclusion: Knowledge of the frequency and echocardiographic findings of 22q11.2 deletions might be helpful for prenatal genetic counseling. It is advisable to perform FISH analysis for 22q11.2 deletions in pregnancies exhibiting conotruncal cardiac defects such as TOF or DORV.

EXAMPLE AND COUNTEREXAMPLES IN DOUBLE INTEGRAL AND ITERATED INTEGRAL

  • Kim, Byung-Moo
    • The Pure and Applied Mathematics
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    • v.2 no.2
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    • pp.127-132
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    • 1995
  • [1] Show that ∫$\_$0/$\^$1/ [∫$\_$0/$\^$1/ f($\chi$,y)dy] d$\chi$ = ∫$\_$0/$\^$1/[∫$\_$0/$\^$1/ f($\chi$,y)d$\chi$] Counterexample: If pk denotes the k-th prime number, let S(pk) = (equation omitted), let S = ∪$\_$k=1/$\^$$\infty$/ S(pk), and let Q = [0, 1]${\times}$[0, 1]. Define f on Q as follows; f($\chi$, y) = 0 ($\chi$, y)$\in$S, f($\chi$, y) = 1 ($\chi$, y)$\in$Q - S.(omitted)

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Vegetation of Mt. Chil-gab (칠갑산의 식생)

  • Koh, Jae Kee;Yang-Jai Yim
    • The Korean Journal of Ecology
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    • v.10 no.1
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    • pp.33-42
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    • 1987
  • The forest vegetation of Mt. Chil-gab was studied from 1983 to 1984. By Z-M method, the actual vegetation was classified into 8 communities and 1 plantation; Quercus variabilis, Q. variabilis-Styrax obassia, Q variabilis-Q. dentata, Q. varisbilid-Q. mongolica, Q. acutissima-Q. variabilis, Zelkova serrata-Styrax japonica, Capinus laxiflora, Pinus densiflora community and Larix leptolepts plantation (on the mountain foot) community. The plant communities of Q. variabilis and S. japonica as edaphic climax, in terms of the isopleth line of warmth index. Based on the data of vegetation survey and environmental analysis, the actual vegetation map and potential natural vegetation map were perpared with scale of 1/25, 000.

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Statistical Analysis of Agreement by Q-Q plot (Q-Q 플롯에 의한 Agreement의 통계적 분석)

  • Lee, Jae-Young;Rhee, Seong-Won;Lee, Jae-Woo
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.1
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    • pp.11-18
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    • 1998
  • In clinical measurement comparison of a new measurement technique with an established one is often needed to see whether they agree sufficiently for the new to replace the old. Such investigations are often analysed inappropriately, notably by using the correlation coefficient(r). So, the measurement for agreement was determined by Bland & Altman's method recently. In this article, we will analyse the measurement for agreement by using Q-Q plot and by applying Bland and Altman's method through graph. And we will show characteristics for these techniques.

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Studios on the Vegetational Landscape Structure and Administration Planning of the Royal Tomb (II)-Successional Trends of the Plant Community of Heonin Royal Tomb- (왕릉의 식생경관구조 및 관리대책에 관한 연구(II)-헌인릉 식물군집의 천이-)

  • 이경재;오구균;우종수;송근준
    • Journal of the Korean Institute of Landscape Architecture
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    • v.17 no.3
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    • pp.35-47
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    • 1990
  • This study was executed to analyze the vegetational landscape structure and administration planning of Heonin Royal Tomb forest by three kinds of ordination techniques (PCA, RA and DCA) and comparison of the couple photographs between 1920s and 1980s. Seventeen sites in the recreation area and fifteen sites in the protective area were sampled with clumped sampling method in June 1988 and five quadrats were examined in each site. Environmental impact grade 3, 4 and 5 area covered 56.4% of the surveyed area and these area should be restored by the input of human energy. Pinus densifora community of actual vegetation covered 8.4%, Alnus japonica 24.2% and Quercus community 40.9% of the total area. And the afforested vegetation of Pinus koraiensis and Pinus rigida covered 23.1 % The recreation area was divided by P. densiflora, P. densiflora-Quercus aliena, A. japonica-Q.aliena, A. japonica and the protective area by Q. acutissima, Q. aliena, A. japonica-Q. aliena.. DCA ordination showed that successional trends of tree species seem to be from P. densiflora, Sorbus alnifolia, Styrax obassia to Q. variabilis Q. serrata in P. densiflora community and from A. japonica through A. ginnala to Q. aliena in A. japonica community of the upper layer. By the comparison of the couple photographs between 1920s and 1980s, we can recognize the change of historical landscape composed of P. densiflora community and those community is succeeded to Q. aliena.

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ON STEIN TRANSFORMATION IN SEMIDEFINITE LINEAR COMPLEMENTARITY PROBLEMS

  • Song, Yoon J.;Shin, Seon Ho
    • Journal of applied mathematics & informatics
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    • v.32 no.1_2
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    • pp.285-295
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    • 2014
  • In the setting of semidenite linear complementarity problems on $S^n$, we focus on the Stein Transformation $S_A(X)\;:=X-AXA^T$, and show that $S_A$ is (strictly) monotone if and only if ${\nu}_r(UAU^T{\circ}\;UAU^T)$(<)${\leq}1$, for all orthogonal matrices U where ${\circ}$ is the Hadamard product and ${\nu}_r$ is the real numerical radius. In particular, we show that if ${\rho}(A)$ < 1 and ${\nu}_r(UAU^T{\circ}\;UAU^T){\leq}1$, then SDLCP($S_A$, Q) has a unique solution for all $Q{\in}S^n$. In an attempt to characterize the GUS-property of a nonmonotone $S_A$, we give an instance of a nonnormal $2{\times}2$ matrix A such that SDLCP($S_A$, Q) has a unique solution for Q either a diagonal or a symmetric positive or negative semidenite matrix. We show that this particular $S_A$ has the $P^{\prime}_2$-property.

REMARK ON THE MEAN VALUE OF L(½, χ) IN THE HYPERELLIPTIC ENSEMBLE

  • Jung, Hwanyup
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.1
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    • pp.9-16
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    • 2014
  • Let $\mathbb{A}=\mathbb{F}_q[T]$ be a polynomial ring over $\mathbb{F}_q$. In this paper we determine an asymptotic mean value of quadratic Dirich-let L-functions L(s, ${\chi}_{{\gamma}D}$) at the central point s=$\frac{1}{2}$, where D runs over all monic square-free polynomials of even degree in $\mathbb{A}$ and ${\gamma}$ is a generator of $\mathbb{F}_q^*$.

Quality of Life for Elderly (노인의 삶의 질에 관한 연구)

  • 김애련;채옥희
    • Journal of Family Resource Management and Policy Review
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    • v.5 no.1
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    • pp.49-60
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    • 2001
  • This research examined elderly’s quality of life(q/l). In order to explore the elderly’s q/l, it was conceptualized into 8 dimensions tapping macro and micro aspects of elderly’s life: physical & mental health, self-esteem, anxiety, social support, family solidarity, economic state, and physical environment. The primary purposes were to describe dimensions of q/l by the elderly’s sociodemographic variables. And the intercorrelations among q/l dimensions were examined and then the effects of q/l sub-dimensions on psychological well-being were analyzed by using multiple regression. Based on the data collected for 677 subjects residing in rural and urban areas, the basic issues hypothesized were explored. The findings appeared that the psychological well-being was a positive function of physical and mental health, self-esteem, social support, and economic state and a negative one of social anxiety, controlling for subjects’s sociodemographic variables.

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Genetic and Agronomic Analysis of a Recombinant Inbred Line Population to Map Quantitative Trait Loci for Blast Resistance and Select Promising Lines in Rice (벼 RIL집단의 유전 분석과 농업형질 분석을 통한 도열병 저항성 QTL 탐색 및 유망계통 선발)

  • Ha, Su-Kyung;Jeung, Ji-Ung;Jeong, Jong-Min;Kim, Jinhee;Mo, Youngjun
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.65 no.3
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    • pp.172-181
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    • 2020
  • Koshihikari has been one of the most popular rice cultivars with good eating quality since the 1960s despite its susceptibility to blast disease and lodging. To map the genes controlling blast resistance and to develop promising blast-resistant breeding lines inheriting Koshihikari's high eating quality, a recombinant inbred line (RIL) population was developed from a cross between Koshihikari and a blast resistance donor with early maturity, Baegilmi. A total of 394 Koshihikari × Baegilmi RILs (KBRIL), and the two parents, were evaluated for blast resistance and major agronomic traits including heading date, culm length, panicle length, and tiller number. A linkage map encompassing 1,272.7 cM was constructed from a subset of the KBRIL (n = 142) using 130 single nucleotide polymorphisms. Two quantitative trait loci (QTL) for blast resistance, qBL1.1 harboring Pish/Pi35 and qBL2.1 harboring Pib, were mapped onto chromosomes 1 and 2, respectively. qBL1.1 was detected in both of the experimental sites, Namwon and Jeonju, while qBL2.1 was only detected in Namwon. qBL1.1 and qBL2.1 did not affect agronomic traits, including heading date, culm length, panicle length, and tiller number. From the 394 KBRILs, lines that were phenotypically similar to Koshihikari were selected according to heading date and culm length and were further divided into the following two groups based on blast resistance: Koshishikari-type blast resistant lines (KR, n = 15) and Koshishikari-type blast susceptible lines (KS, n = 15). Although no significant differences were observed in the major agronomic traits between the two groups, the KR group produced a greater mean head rice ratio than the KS group. The present study provides useful materials for developing blast-resistant cultivars that inherit both Koshihikari's high eating quality and Baegilmi's blast resistance.