• Title/Summary/Keyword: maximal rank

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Automatic Construction of Reduced Dimensional Cluster-based Keyword Association Networks using LSI (LSI를 이용한 차원 축소 클러스터 기반 키워드 연관망 자동 구축 기법)

  • Yoo, Han-mook;Kim, Han-joon;Chang, Jae-young
    • Journal of KIISE
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    • v.44 no.11
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    • pp.1236-1243
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    • 2017
  • In this paper, we propose a novel way of producing keyword networks, named LSI-based ClusterTextRank, which extracts significant key words from a set of clusters with a mutual information metric, and constructs an association network using latent semantic indexing (LSI). The proposed method reduces the dimension of documents through LSI, decomposes documents into multiple clusters through k-means clustering, and expresses the words within each cluster as a maximal spanning tree graph. The significant key words are identified by evaluating their mutual information within clusters. Then, the method calculates the similarities between the extracted key words using the term-concept matrix, and the results are represented as a keyword association network. To evaluate the performance of the proposed method, we used travel-related blog data and showed that the proposed method outperforms the existing TextRank algorithm by about 14% in terms of accuracy.

A NOTE ON CONVERTIBLE {0,1} MATRICES

  • Kim, Si-Ju;Park, Taeg-Young
    • Communications of the Korean Mathematical Society
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    • v.12 no.4
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    • pp.841-849
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    • 1997
  • A square matrix A with $per A \neq 0$ is called convertible if there exists a {1, -1} matrix H such that $per A = det(H \circ A)$ where $H \circ A$ denote the Hadamard product of H and A. In this paper, ranks of convertible {0, 1} matrices are investigated and the existence of maximal convertible matrices with its rank r for each integer r with $\left\lceil \frac{n}{2} \right\rceil \leq r \leq n$ is proved.

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Oribicularis Oris Muscle Defects in Philtral Deformities in the Repaired Cleft Lip (구순열 수술 후 인중의 변형과 구륜근 결손)

  • Kim, Suk-Wha;Jeong, Yeon-Woo;Cheon, Jung-Eun;Park, Chan-Young;Oh, Myung-June;Kim, Jung-Hong;Choi, Tae-Hyun
    • Archives of Plastic Surgery
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    • v.37 no.4
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    • pp.427-432
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    • 2010
  • Purpose: The purpose of this study is to estimate muscle defect by ultrasonography in the patients with secondary deformities of the lip. We investigated the association between the muscle defect in the repaired cleft lip and the philtral appearance not only at resting state but also maximal puckering. Methods: From December 2006 to November 2007, 52 children were evaluated after primary or secondary cheiloplasty. Digital photographs were taken both from the front and both three quarter views in repose and at maximal pucker. Video clips were also taken in repose and at maximal pucker. A panel of four, scored the philtral ridge and dimple seen on these photographs and videos by using two visual analog scales. Eminence of the philtral ridge was scored by a 5 point grading scale, from "conspicuous groove" to "normal philtral ridge" and the philtral dimple was scored by 3 point grading scale, from "no dimple" to "prominent dimple". Ultrasound images of the upper lip were made using a linear array transducer at the resting position of the lip and evaluated by a single radiologist. Results: The philtral ridge eminence scored $2.79{\pm}0.54$ and $1.40{\pm}0.53$ at resting and maximal pucker, correlating with "flat" and "conspicous groove". The philtral dimpling scored $1.44{\pm}0.53$ and $2.27{\pm}0.66$ at resting and maximal pucker, correlating with "no dimple" and "slight dimple". Ultrasound imaging showed the average muscle dehiscence to be $3.78{\pm}2.14$ mm at resting position. Correlation between the muscle defect in ultrasound imaging and philtral ridge eminence at rest was statistically significant (p<0.050), but was not significant (p=0.756) at maximal pucker using Spearman's rank correlation. Correlation between the muscle defect in ultrasound imaging and philtral dimpling was not statistically significant both at rest (p=0.920) and at maximal pucker (p=0.815) using Spearman's rank correlation. Conclusion: Quantitative assessment of the muscle defect using ultrasonography correlates with the static philtral appearance, but does not correlate with the dynamic appearance. Also, the size of the muscle defect does not show any correlation with the philtral dimpling. Our findings reveal that ultrasound imaging partially reflect static appearance of philtrum but cannot reflect dynamic appearance and suggest the need for further research to evaluate dynamic appearance.

LOW RANK ORTHOGONAL BUNDLES AND QUADRIC FIBRATIONS

  • Insong Choe ;George H. Hitching
    • Journal of the Korean Mathematical Society
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    • v.60 no.6
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    • pp.1137-1169
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    • 2023
  • Let C be a curve and V → C an orthogonal vector bundle of rank r. For r ≤ 6, the structure of V can be described using tensor, symmetric and exterior products of bundles of lower rank, essentially due to the existence of exceptional isomorphisms between Spin(r, ℂ) and other groups for these r. We analyze these structures in detail, and in particular use them to describe moduli spaces of orthogonal bundles. Furthermore, the locus of isotropic vectors in V defines a quadric subfibration QV ⊂ ℙV . Using familiar results on quadrics of low dimension, we exhibit isomorphisms between isotropic Quot schemes of V and certain ordinary Quot schemes of line subbundles. In particular, for r ≤ 6 this gives a method for enumerating the isotropic subbundles of maximal degree of a general V , when there are finitely many.

The Effects of Thoracic Mobilizing and Stretching Exercise on Maximal Inspiratory Pressure and Maximal Expiratory Pressure in Healthy Adults (건강한 성인에게 가슴가동운동과 스트레칭운동이 최대들숨압 및 최대날숨압에 미치는 효과)

  • Kim, Se-Yeon;Hwang, Young-In;Kim, Ki-Song
    • PNF and Movement
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    • v.20 no.1
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    • pp.9-17
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    • 2022
  • Purpose: The purpose of this study was to investigate the effect of chest mobilization and stretching exercises on maximal inspiratory pressure and maximal expiratory pressure in healthy adults who use computers for extended periods of time each day due to coronavirus disease 2019. Methods: Twenty-five healthy adults in their 20s and without respiratory disease (15 female, 10 male) took part in this study. Two types of thoracic mobilizing exercises using a Theraband and three types of stretching exercises using a foam roller were performed. Maximum inspiratory pressure and maximum expiratory pressure were measured three times each before and after the interventions. In terms of statistical methods, the maximum inspiratory pressure due to chest mobility and stretching was compared with the maximum expiratory pressure using parametric paired t-test and non-parametric Wilcoxon signed-rank test. Results: Maximum inspiratory pressure (p = .012) and maximum expiratory pressure (p = .006) showed significant differences before and after chest mobilization exercise and stretching among the participants. Conclusion: The results of this study suggest that chest mobilization and stretching exercises are effective exercise methods for improving maximal inspiratory and expiratory pressure. They suggest that these exercises can prevent respiratory muscle weakness and improve aerobic fitness in healthy people as well as those in need of cardiorespiratory physiotherapy.

On the Mordell-Weil Groups of Jacobians of Hyperelliptic Curves over Certain Elementary Abelian 2-extensions

  • Moon, Hyun-Suk
    • Kyungpook Mathematical Journal
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    • v.49 no.3
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    • pp.419-424
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    • 2009
  • Let J be the Jacobian variety of a hyperelliptic curve over $\mathbb{Q}$. Let M be the field generated by all square roots of rational integers over a finite number field K. Then we prove that the Mordell-Weil group J(M) is the direct sum of a finite torsion group and a free $\mathbb{Z}$-module of infinite rank. In particular, J(M) is not a divisible group. On the other hand, if $\widetilde{M}$ is an extension of M which contains all the torsion points of J over $\widetilde{\mathbb{Q}}$, then $J(\widetilde{M}^{sol})/J(\widetilde{M}^{sol})_{tors}$ is a divisible group of infinite rank, where $\widetilde{M}^{sol}$ is the maximal solvable extension of $\widetilde{M}$.

Validity on Submaximal Load Tests Using Cycle Ergometer in Evaluation of Maximum Oxygen Consumption Volume (최대 산소소모량 평가에 있어서 자전거 에르고미터를 이용한 최대하부하검사방법의 타당도)

  • Kang, Dongmug;Park, Yong Kyun;Lee, Yong Hwan;Sul, Jin Gon
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.16 no.2
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    • pp.145-151
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    • 2006
  • Because of the limitations of maximal load tests for $VO_2max$, submaximal tests using cycle ergometer are used for field study in general. This study was conducted to evaluate validity of various submaximal tests using cycle ergometer. This study had been conducted during May to June 2005, which subjects were 15 males and 15 females in twenties. Experiment was performed with restrictive conditions which regulated ambient temperature, noise, and entrance restriction. Submaximal load test protocols including YMCA Protocol (YP), ${\AA}strand$-Rhyming Protocol (ARP), Relative heart ratio Protocol (RP), and Ramp test Protocol (RP) were compared with maximal load test which used gas mask analyser using Bruce Protocol. All submaximal load tests were highly related with maximal load test (Spearman's correlation coefficient > 0.60) with statistical significancy. The highest correlation coefficient with maximal test was found in RP. Three submaximal test results except RP were significantly different with maximal test results (Wilcoxon rank test). All submaximal tests had high validity. The reason why RP had highest validity might be that it represents Korean physical strength and individual differences better than the others. RP using cycle ergometer would make easy to study for physical capacity evaluation and field workload estimation.

On the Study for the Simultaneous Test

  • Park, Hyo-Il
    • Communications for Statistical Applications and Methods
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    • v.20 no.4
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    • pp.241-246
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    • 2013
  • In this study, we propose a nonparametric simultaneous test procedure for the location translation and scale parameters. We consider the Wilcoxon rank sum test for the location translation parameter and the Mood test for the scale parameter with the quadratic and maximal types of combining functions. Then we derive the limiting null distributions of the combining functions. We illustrate our procedure with an example and compare efficiency by obtaining the empirical powers through a simulation study. Finally, we discuss some interesting features related to the nonparametric simultaneous tests.

On SF-Rings and Semisimple Rings

  • Lee, Kyoung Hee
    • Journal of the Chungcheong Mathematical Society
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    • v.7 no.1
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    • pp.53-58
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    • 1994
  • In this note, we study conditions under which SF-rings are semi-simple. We prove that left SF-rings are semisimple for each of the following classes of rings: (1) left non-singular rings of finite rank; (2) rings whose maximal left ideals are finitely generated; (3) rings of pure global dimension zero and (4) rings which is pure-split. Also it is shown that left SF-rings without zero-divisors are semisimple.

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