• Title/Summary/Keyword: contiguous results

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Generalizations of Dixon's and Whipple's Theorems on the Sum of a 3F2

  • Choi, Junesang;Malani, Shaloo;Rathie, Arjun K.
    • Kyungpook Mathematical Journal
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    • v.47 no.3
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    • pp.449-454
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    • 2007
  • InIn this paper we consider generalizations of the classical Dixon's theorem and the classical Whipple's theorem on the sum of a $_3F_2$. The results are derived with the help of generalized Watson's theorem obtained earlier by Mitra. A large number of results contiguous to Dixon's and Whipple's theorems obtained earlier by Lavoie, Grondin and Rathie, and Lavoie, Grondin, Rathie and Arora follow special cases of our main findings.

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NEW RESULTS FOR THE SERIES 2F2(x) WITH AN APPLICATION

  • Choi, Junesang;Rathie, Arjun Kumar
    • Communications of the Korean Mathematical Society
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    • v.29 no.1
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    • pp.65-74
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    • 2014
  • The well known quadratic transformation formula due to Gauss: $$(1-x)^{-2a}{_2F_1}\[{{a,b;}\\\hfill{21}{2b;}}\;-\frac{4x}{(1-x)^2}\]={_2F_1}\[{{a,a-b+\frac{1}{2};}\\\hfill{65}{b+\frac{1}{2};}}\;x^2\]$$ plays an important role in the theory of (generalized) hypergeometric series. In 2001, Rathie and Kim have obtained two results closely related to the above quadratic transformation for $_2F_1$. Our main objective of this paper is to deduce some interesting known or new results for the series $_2F_1(x)$ by using the above Gauss's quadratic transformation and its contiguous relations and then apply our results to provide a list of a large number of integrals involving confluent hypergeometric functions, some of which are (presumably) new. The results established here are (potentially) useful in mathematics, physics, statistics, engineering, and so on.

The Hyperspectral Image Classification with the Unsupervised SAM (무감독 SAM 기법을 이용한 하이퍼스펙트럴 영상 분류)

  • 김대성;김진곤;변영기;김용일
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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    • 2004.04a
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    • pp.159-164
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    • 2004
  • SAM(Spectral Angle Mapper) is the method using the similarly of the angle between pairs of signatures instead of the spectral distance(MDC, MLC etc.) for classification or clustering. In this paper, we applied unsupervised techniques(Unsupervised SAM and ISODATA) to the Hyperspectral Image(Hyperion) which has innumerable, narrow and contiguous spectral bands and Multispectral Image(ETM$\^$+/) for the clustering of signatures. The overall measured accuracies of the USAM and ISODATA of multispectral image were 76.52%, 53.91% and the USAM and ISODATA of hyperspectral image were 63.04%, 53.91%. From the results of our test, we report that the Unsupervised SAM is better classfication technique than ISODATA. Also we believe that the "Spectral Angle" can potentially be one of the most accurate classifier not only multispectral images but hyperspectral images.

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Efficient Multistage Approach for Unsupervised Image Classification

  • Lee Sanghoon
    • Proceedings of the KSRS Conference
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    • 2004.10a
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    • pp.428-431
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    • 2004
  • A multi-stage hierarchical clustering technique, which is an unsupervised technique, has been proposed in this paper for classifying the hyperspectral data .. The multistage algorithm consists of two stages. The 'local' segmentor of the first stage performs region-growing segmentation by employing the hierarchical clustering procedure with the restriction that pixels in a cluster must be spatially contiguous. The 'global' segmentor of the second stage, which has not spatial constraints for merging, clusters the segments resulting from the previous stage, using a context-free similarity measure. This study applied the multistage hierarchical clustering method to the data generated by band reduction, band selection and data compression. The classification results were compared with them using full bands.

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Unsupervised Image Classification for Large Remotely-sensed Imagery using Regiongrowing Segmentation

  • Lee, Sang-Hoon
    • Proceedings of the KSRS Conference
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    • v.1
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    • pp.188-190
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    • 2006
  • A multistage hierarchical clustering technique, which is an unsupervised technique, was suggested in this paper for classifying large remotely-sensed imagery. The multistage algorithm consists of two stages. The local segmentor of the first stage performs regiongrowing segmentation by employing the hierarchical clustering procedure of CN-chain with the restriction that pixels in a cluster must be spatially contiguous. This stage uses a sliding window strategy with boundary blocking to alleviate a computational problem in computer memory for an enormous data. The global segmentor of the second stage has not spatial constraints for merging to classify the segments resulting from the previous stage. The experimental results show that the new approach proposed in this study efficiently performs the segmentation for the images of very large size and an extensive number of bands

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Multiple Pedestrians Detection and Tracking using Histogram and Color Information from a Moving Camera (이동 카메라 영상에서 히스토그램과 컬러 정보를 이용한 다수 보행자 검출 및 추적)

  • 임종석;곽현욱;김욱현
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.41 no.5
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    • pp.193-202
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    • 2004
  • This paper presents a novel histogram and color information based algorithm for detecting and tracking multiple pedestrians from a moving camera. In the proposed method, RGB color histogram is used to detect adjacent pedestrians and RGB mean value is used to track detected pedestrians. Therefore, our algorithm detect contiguous or a few occluded pedestrians and track in case pedestrian's shape change. The experimental results on our test sequences demonstrate the high efficiency of our method.

EVALUATION OF THE RADIOMETRIC AND SPECTRAL CHARACTERISTICS OF THE CAISS

  • Lee, Kwang-Jae;Yong, Sang-Soon;Kim, Yong-Seung
    • Proceedings of the KSRS Conference
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    • 2008.10a
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    • pp.243-246
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    • 2008
  • The Compact Airborne Imaging Spectrometer System (CAISS) was jointly designed and developed as the hyperspectral imaging system by Korea Aerospace Research Institute (KARI) and ELOP inc., Israel. The primary mission of the CAISS is to acquire and provide full contiguous spectral information with high quality spectral and high spatial resolution for advanced applications in the field of remote sensing. The CAISS consists of six physical units; the camera system, the gyro-stabilized mount, the jig, the GPS/INS, the power inverter and distributor, and the operating system. These subsystems shall be tested and verified in the laboratory before the flight. Especially the camera system of the CAISS shall be calibrated and validated with the calibration equipments such as the integrated sphere and spectral lamps. To improve data quality and availability, it is the most important to understand the mechanism of hyperspectral imaging system and the radiometric and spectral characteristics. This paper presents the major characteristics of camera system on the CAISS and summarizes the results of radiometric and spectral experiment during preliminary system verification.

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Primary Mediastinal Liposarcoma - 1 Case Report - (원발성 종격동 지방육종 -1예 보고 -)

  • Lee, Seong-Yun;Hong, Eun-Gyeong;Ji, Haeng-Ok
    • Journal of Chest Surgery
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    • v.22 no.6
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    • pp.1061-1069
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    • 1989
  • A case of liposarcoma was reported in 52 year-old female. She had the operation history due to mediastinal lipoma at other Hospital before 26 months ago. Chest X-ray revealed a huge soft tissue mass- density at the entire right lung field, and left middle and lower lung field at admission. At the lateral film, the mass was located in the anterior and middle mediastinum. Transsternal bilateral thoracotomy was performed, followed by extirpation of liposarcoma, wedge resection of superior vena cava, angioplasty of superior vena cava, and then partial pericardiectomy. The post-operative treatment was 5500 rad irradiation. Post-operative course was uneventful, that was noticed by OPD follow-up for 10 months. Primary liposarcoma of the mediastinum is very rare tumor. This tumor grows to an enormous size, and symptoms are referable to compression of the contiguous intrathoracic structures. The treatment of choice is surgery in all cases. Such an approach serves to establish a tissue diagnosis, to relieve the patients* symptoms, and may results in a cure sometimes. Radiotherapy or/and chemotherapy seems to be ineffective, but should be further studied.

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k-Sample Rank Tests for Umbrella Location-Scale Alternatives (k-표본 우산형 위치-척도 대립가설에 대한 순위검정법의 연구)

  • Hee Moon Park
    • The Korean Journal of Applied Statistics
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    • v.7 no.2
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    • pp.159-171
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    • 1994
  • Some rank score tests are proposed for testing the equality of all sampling distribution functions against umbrella location-scale alternatives in k-sample problem. Only the case of known peak $\ell$ is considered. Under the null hypothesis and a contiguous sequence of unbrella location-scale alternatives, the asymptotic properties of the proposed test statistics are investigated. Also, the asymptotic local powers are compared with each others. The results show that the tests based on the Chen-Wolfe rank analogue statistic are more powerful than others for unequally spaced umbrella location-scale alternatives and robust.

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Electrodeposition of GMR Ni/Cu Multilayers in a Recirculating Electrochemical Flow Reactor

  • Rheem, Young-Woo
    • Korean Journal of Materials Research
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    • v.20 no.2
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    • pp.90-96
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    • 2010
  • The recirculating electrochemical flow reactor developed at UCLA has been employed to fabricate nanostructured GMR multilayers. For comparison, Ni/Cu multilayers have been electrodeposited from a single bath, from dual baths and from the recirculating electrochemical flow reactor. For a magnetic field of 1.5 kOe, higher GMR (Max. -5%) Ni/Cu multilayers with low electrical resistivity (< $10\;{\mu}{\Omega}{\cdot}cm$) were achieved by the electrochemical flow reactor system than by the dual bath (Max. GMR = -4.2% and < $20\;{\mu}{\Omega}{\cdot}cm$) or the single bath (Max. GMR = -2.1% and < $90\;{\mu}{\Omega}{\cdot}cm$) techniques. Higher GMR effects have been obtained by producing smoother, contiguous layers at lower current densities and by the elimination of oxide film formation by conducting deposition under an inert gas environment. Our preliminary GMR measurements of Ni/Cu multilayers from the electrochemical flow reactor obtained at low magnetic field of 0.15 T, which may approach or exceed the highest reported results (-7% GMR) at magnetic fields > 5 kOe.