• Title/Summary/Keyword: representing measure

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THE QUARTIC MOMENT PROBLEM

  • Li, Chun-Ji;Lee, Sang-Hoon
    • Journal of the Korean Mathematical Society
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    • v.42 no.4
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    • pp.723-747
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    • 2005
  • In this paper, we consider the quartic moment problem suggested by Curto-Fialkow[6]. Given complex numbers $\gamma{\equiv}{\gamma}^{(4)}\;:\;{\gamma00},\;{\gamma01},\;{\gamma10},\;{\gamma01},\;{\gamma11},\;{\gamma20},\;{\gamma03},\;{\gamma12},\;{\gamma21},\;{\gamma30},\;{\gamma04},\;{\gamma13},\;{\gamma22},\;{\gamma31},\;{\gamma40}$, with ${\gamma00},\;>0\;and\;{\gamma}_{ji}={\gamma}_{ij}$ we discuss the conditions for the existence of a positive Borel measure ${\mu}$, supported in the complex plane C such that ${\gamma}_{ij}=\int\;\={z}^i\;z^j\;d{\mu}(0{\leq}i+j{\leq}4)$. We obtain sufficient conditions for flat extension of the quartic moment matrix M(2). Moreover, we examine the existence of flat extensions for nonsingular positive quartic moment matrices M(2).

A NOTE ON SINGULAR QUARTIC MOMENT PROBLEM

  • Li, Chun-Ji
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.1
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    • pp.91-102
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    • 2000
  • Let ${\gamma}{\equiv}{\gamma}^{(2n)}$ denote a sequence of complex numbers ${\gamma}{00},{\gamma}{01},\cdots,{\gamma}0, 2n,...,{\gamma}{2n},0\;with\; {\gamma}{00}\;>\;0,{\gamma}{ji}={{\overline}{\gamma_{ij}}}$,and let K denote a closed subset of the complex plane C. The truncated K complex moment problem entails finding a positive Borel measure $\mu$ such that ${\gamma}{ij}={\int}{{\overline}{z}}^{i}z^{j}d{\mu}\;(0{\leq}\;i+j\;{\leq}\;2n)$ and supp ${\mu}{\subseteq}\;K$. If n=2, then is called the quartic moment problem. In this paper, we give partial solutions for the singular quartic moment problem with rank M(2)=5 and ${{\overline}{Z}}Z{\in}\;<1,Z,{{\overline}{Z}},Z^{2},{{\overline}{Z}}^2>$.

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NFlex Dynamic Stabilization System : Two-Year Clinical Outcomes of Multi-Center Study

  • Coe, Jeffrey D.;Kitchel, Scott H.;Meisel, Hans Jorg;Wingo, Charles H.;Lee, Soo-Eon;Jahng, Tae-Ahn
    • Journal of Korean Neurosurgical Society
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    • v.51 no.6
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    • pp.343-349
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    • 2012
  • Objective : Pedicle-based dynamic stabilization systems, in which semi-rigid rods or cords are used to restrict or control spinal segmental motion, aim to reduce or eliminate the drawbacks associated with rigid fusion. In this study, we analyzed the two-year clinical outcomes of patients treated with the NFlex (Synthes Spine, Inc.), a pedicle-based dynamic stabilization system. Methods : Five sites participated in a retrospective study of 72 consecutive patients who underwent NFlex stabilization. Of these 72 patients, 65 were available for 2-year follow-up. Patients were included based on the presence of degenerative disc disease (29 patients), degenerative spondylolisthesis (16 patients), lumbar stenosis (9 patients), adjacent segment degeneration (6 patients), and degenerative lumbar scoliosis (5 patients). The clinical outcome measures at each assessment were Visual Analogue Scale (VAS) to measure back pain, and Oswestry Disability Index (ODI) to measure functional status. Radiographic assessments included evidence of instrumentation failure or screw loosening. Results : Sixty-five patients (26 men and 39 women) with a mean age of 54.5 years were included. Mean follow-up was 25.6 months. The mean VAS score improved from 8.1 preoperatively to 3.8 postoperatively, representing a 53% improvement, and the ODI score from 44.5 to 21.8, representing a 51% improvement. Improvements in pain and disability scores were statistically significant. Three implant-related complications were observed. Conclusion : Posterior pedicle-based dynamic stabilization using the NFlex system seems effective in improving pain and functional scores, with sustained clinical improvement after two years. With appropriate patient selection, it may be considered an effective alternative to rigid fusion.

A Method for Detecting Program Plagiarism Comparing Class Structure Graphs (클래스 구조 그래프 비교를 통한 프로그램 표절 검사 방법)

  • Kim, Yeoneo;Lee, Yun-Jung;Woo, Gyun
    • The Journal of the Korea Contents Association
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    • v.13 no.11
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    • pp.37-47
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    • 2013
  • Recently, lots of research results on program comparison have been reported since the code theft become frequent as the increase of code mobility. This paper proposes a plagiarism detection method using class structures. The proposed method constructs a graph representing the referential relationship between the member variables and the methods. This relationship is shown as a bipartite graph and the test for graph isomorphism is applied on the set of graphs to measure the similarity of the programs. In order to measure the effectiveness of this method, an experiment was conducted on the test set, the set of Java source codes submitted as solutions for the programming assignments in Object-Oriented Programming course of Pusan National University in 2012. In order to evaluate the accuracy of the proposed method, the F-measure is compared to those of JPlag and Stigmata. According to the experimental result, the F-measure of the proposed method is higher than those of JPlag and Stigmata by 0.17 and 0.34, respectively.

Performance Evaluation of Speech Recognition Using the Reconstructed Feature Parameter with Voiced-Unvoiced Measure (유ㆍ무성음 척도를 포함한 재구성 특징 파라미터의 음성 인식 성능평가)

  • 이광석;한학용;고시영;허강인
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.7 no.2
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    • pp.177-182
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    • 2003
  • In this study, we research the robust speech recognition for the syllables and phoneme units with the feature parameter including the voiced-unvoiced measures for the confusable words. In order to make it possible, we propose the measure representing the voiced-unvoiced degree by using the HPS(Harmonic Product Spectrum) information, used on pitch detection. We proposed this measures with the sharpnes, peak count and height measure of HPS. We reconstructed the feature parameter including this measures, then we performs the speech recognition experiments and compared with the typical feature parameters under the CVC type confusable syllables DB.

A Study on the Meaning and Methodology of Landscape Drawings in the Environmental Design (환경설계에서 경관드로잉의 의미와 방법론에 관한 연구)

  • 변찬우
    • Journal of the Korean Institute of Landscape Architecture
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    • v.26 no.4
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    • pp.95-104
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    • 1999
  • The Landscape Drawing is the main medium for constructing better environment which provides human beings with a place for dwelling well, even though it has some limitations. To provide places for people's daily lives, by what measure do we design\ulcorner, by what measure do we give dimension\ulcorner, and how can we appropriately measure the place with drawing\ulcorner On any given site, of course, much has already happened, i.e, there is history. Any adequate interpretation of such a site should poetically take into account the present effects of its absent past. The findings to reveal the meaning and methodology of landscape drawings in the environmental design with a case study are as follows: (1) The value of landscape drawings is the poetic, artistic interpretation which we sense and bodily experience through the simultaneous exposure of the site's temporal, spatial, and tactile conditions. (2) The landscape drawing should represent the invisible (imaginary) world as well as the visible (physical) world. (3) There can be classified as two methods in representing the rich experience of a place: expression and notation. Expression is the abstract representation and do not have a direct relationship to construction due to its ambiguous and connotative structure. But notation is constructional due to it's purely objective symbol system which is obviously denotative structure. (4) Collage is a medium of specific act that can represent the complex layered phenomena and the rich experience of given site. (5) The landscape drawings represent not only topographical space which can be measured objectively, but also topic which can be cognized culturally.

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Incomplete Information Recognition Using Fuzzy Integrals Aggregation: With Application to Multiple Matchers for Image Verification

  • Kim, Seong H.;M. Kamel
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09a
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    • pp.28-31
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    • 2003
  • In the present work, a main purpose is to propose a fuzzy integral-based aggregation framework to complementarily combine partial information due to lack of completeness. Based on Choquet integral (CI) viewed as monotone expectation, we take into account complementary, non-interactive, and substitutive aggregations of different sources of defective information. A CI-based system representing upper, conventional, and lower expectations is designed far handling three aggregation attitudes towards uncertain information. In particular, based on Choquet integrals for belief measure, probability measure, and plausibility measure, CI$\_$bi/-, CI$\_$pr/ and CI$\_$pl/-aggregator are constructed, respectively. To illustrate a validity of proposed aggregation framework, multiple matching systems are developed by combining three simple individual template-matching systems and tested under various image variations. Finally, compared to individual matchers as well as other traditional multiple matchers in terms of an accuracy rate, it is shown that a proposed CI-aggregator system, {CI$\_$bl/-aggregator, CI$\_$pl/-aggregator, Cl$\_$pl/-aggregator}, is likely to offer a potential framework for either enhancing completeness or for resolving conflict or for reducing uncertainty of partial information.

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A Study on Establishment of the Standard Size for High School Girls -The Girls of Seventeen Years Old in Seoul- (여고생의 의복치수 설정을 위한 연구 -주로 서울시내 17세 여고생을 중심으로-)

  • Son Won Kyo
    • Journal of the Korean Society of Clothing and Textiles
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    • v.1 no.1
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    • pp.1-5
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    • 1977
  • 'Adolescence' is a critical period in the process of growing and aging but important in that an adolescent becomes aware of and begins to look about him or her self. Especially with girls in their late teens (15$\~$18), they pay more attention to their looks and clothes than the boys do, which affects to some extent the formation of their personality and their behavior. From this point .of view. it is significant to establish the standard size of high-school girls' clothes. This study aims to measure high-school girls in size and to establish the standard size of their clothes; furthermore. to enable them to lead a satisfactory living with more appropriate size of clothes. The results, analyzed by two different representing items which resulted in little difference, are as belows: 1) Stature had a significant correlation with posterior waist height; bust girth had the most significant correlation with weight. and also some considerable correlation with other representing items; 2) The F-test result showed significant difference on $1\%$ level over all the items between the measured (Y) and the estimated (Y); the correlation among the representing items was considerable also; 3) When the measurement increases in stature by 4cm, bust girth by 4cm. and posterior shoulder width by 2cm respectively, the increase or decrease in other items are as shown on Table 4. Since this study was carried out in girls' high-schools in Seoul, it is expected to extend its further study throughout the nation. thus contributing to comprehending the whole truth of people's body-size and promoting the fabrication and modelling of the original clothes for the nation by the strict standard size up to making ready-made clothes with no difficulty in setting the standard and model size.

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The Relationships between Age, Socio-ecoomic Status and Clothing Behavior of Korean Men (성인 남자의 연령 및 사회.경제적 지위와 의복행동과의 상관 연구)

  • 고애란
    • Journal of the Korean Home Economics Association
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    • v.25 no.1
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    • pp.1-10
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    • 1987
  • The purpose of this study was to investigate the relationships between demographic variables and seven aspects of clothing behavior of adult males, and to attempt to develop the measurement of men's clothing behavior. Age was ranked by five gradation (20∼60 ages) and socio-economic status was divided into three categories (high, middle, low) based on the subjects' education, occupation and economic status. Six aspects of clothing comfort, satisfaction, status symbol, conformity, fashion interest and clothing acceptance I were assessed with Koh's, Chung's and Lee's questionnaires. Clothing acceptance by line-drawing of clothing syles representing different levels of formality for occasions designed to measure the awareness of appropriate clothing category of business suits. The questionnaires in this study were administered to a sample of men living in Seoul. The sample was drawn by the random-cluster sampling method. The data from 362 respondants were analysed. To determine the internal validity of clothing behavior mesurement, factor analysis was computed, whereas to determine the reliability, Cronbach's alpha was calculated. The statistical methods adopted were correlation, one-way ANOVA, and multiple regression. The results obtained in this study were as follows: 1) As for clothing behavior instruments, items dealing with status symbol and fashion nterest were proved to be satisfactory as a measurement of adult males. Eight factors emerged on clothing acceptance Ⅱ, most of which were representing unappropriate clothing choice for occasion. 2) Demographic variables were significantly related to the adult males' clothing behavior. (1) Age was positively related to clothing conformity but negatively to fashion interest. (2) Socio-economic status was positively related to clothing satisfaction, status symbol, and fashion interest but negatively to clothing confort. (3) When age was controlled, socio-economic status was negatively related to comfort in 40∼50s age group only, and negatively related to clothing conformity in 20∼30s age group only. (4) Four subscales of clothing acceptance Ⅱ representing unappro-priate clothing practice for selected occasions were negatively related to age and/or socio-economic status.

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Perceptual and Adaptive Quantization of Line Spectral Frequency Parameters (선 스펙트럼 주파수의 청각 적응 부호화)

  • 한우진;김은경;오영환
    • The Journal of the Acoustical Society of Korea
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    • v.19 no.8
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    • pp.68-77
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    • 2000
  • Line special frequency (LSF) parameters have been widely used in low bit-rate speech coding due to their efficiency for representing the short-time speech spectrum. In this paper, a new distance measure based on the masking properties of human ear is proposed for quantizing LSF parameters whereas most conventional quantization methods are based on the weighted Euclidean distance measure. The proposed method derives the perceptual distance measure from the definition of noise-to-mask ratio (NMR) which has high correspondence with the actual distortion received in the human ear and uses it for quantizing LSF parameters. In addition, we propose an adaptive bit allocation scheme, which allocates minimal bits to LSF parameters maintaining the perceptual transparency of given speech frame for reducing the average bit-rates. For the performance evaluation, we has shown the ratio of perceptually transparent frames and the corresponding average bit-rates for the conventional and proposed methods. By jointly combining the proposed distance measure and adaptive bit allocation scheme, the proposed system requires only 770 bps for obtaining 95.5% perceptually transparent frames, while the conventional systems produce 89.9% at even 1800 bps.

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