• 제목/요약/키워드: Dixon

검색결과 118건 처리시간 0.027초

ALTERNATIVE DERIVATIONS OF CERTAIN SUMMATION FORMULAS CONTIGUOUS TO DIXON'S SUMMATION THEOREM FOR A HYPERGEOMETRIC $_3F_2$ SERIES

  • Choi, June-Sang;Rathie Arjun K.;Malani Shaloo;Mathur Rachana
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제13권4호
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    • pp.255-259
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    • 2006
  • In 1994, Lavoie et al. have obtained twenty tree interesting results closely related to the classical Dixon's theorem on the sum of a $_3F_2$ by making a systematic use of some known relations among contiguous functions. We aim at showing that these results can be derived by using the same technique developed by Bailey with the help of Gauss's summation theorem and generalized Kummer's theorem obtained by Lavoie et al..

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CERTAIN SUMMATION FORMULAS DUE TO RAMANUJAN AND THEIR GENERALIZATIONS

  • RATHIE ARJUN K.;MALANI SHALOO;MATHUR RACHANA;CHOI JUNESANG
    • 대한수학회보
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    • 제42권3호
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    • pp.469-475
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    • 2005
  • The authors aim at deriving four generalized summation formulas, which, upon specializing their parameters, give many summation identities including, especially, the four very interesting summation formulas due to Ramanujan. The results are derived with the help of generalized Dixon's theorem obtained earlier by Lavoie, Grondin, Rathie, and Arora.

GENERALIZATIONS OF CERTAIN SUMMATION FORMULA DUE TO RAMANUJAN

  • Song, Hyeong-Kee;Kim, Yong-Sup
    • 호남수학학술지
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    • 제34권1호
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    • pp.35-44
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    • 2012
  • Motivated by the extension of classical Dixon's summation theorem for the series $_3F_2$ given by Lavoie, Grondin, Rathie and Arora, the authors aim at deriving four generalized summation formulas, which, upon specializing their parameters, give many summation identities including, especially, the four very interesting summation formulas due to Ramanujan.

AN EXTENSION OF THE TRIPLE HYPERGEOMETRIC SERIES BY EXTON

  • Lee, Seung-Woo;Kim, Yong-Sup
    • 호남수학학술지
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    • 제32권1호
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    • pp.61-71
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    • 2010
  • The aim of this paper is to extend a number of transformation formulas for the four $X_4$, $X_5$, $X_7$, and $X_8$ among twenty triple hypergeometric series $X_1$ to $X_{20}$ introduced earlier by Exton. The results are derived from the generalized Kummer's theorem and Dixon's theorem obtained earlier by Lavoie et al..

Outlier Tests in Sample Surveys

  • Namkyung, Pyong;Lee, Joon Suk
    • Communications for Statistical Applications and Methods
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    • 제7권2호
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    • pp.447-456
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    • 2000
  • In this paper, we considered three methods for outlier identification sample surveys. First, we studied method of handling and adjusting outliers in normal population. Second, we studied existing methods using mean, maximum and minimum and proposed a test using of median which well reflects characteristic of data regardless of sampling distribution. Finally, we showed our test using median works better than Dixon and mean test through simulation.

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APPLICATIONS OF GENERALIZED KUMMER'S SUMMATION THEOREM FOR THE SERIES 2F1

  • Kim, Yong-Sup;Rathie, Arjun K.
    • 대한수학회보
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    • 제46권6호
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    • pp.1201-1211
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    • 2009
  • The aim of this research paper is to establish generalizations of classical Dixon's theorem for the series $_3F_2$, a result due to Bailey involving product of generalized hypergeometric series and certain very interesting summations due to Ramanujan. The results are derived with the help of generalized Kummer's summation theorem for the series $_2F_1$ obtained earlier by Lavoie, Grondin, and Rathie.

Skull Base Dermoid Cyst in the Right Infratemporal Fossa Diagnosed Using the Dixon Technique: a Case Report and Review of Literature

  • Kim, Seung Jin;Baek, Hye Jin;Ryu, Kyeong Hwa;Choi, Bo Hwa;Moon, Jin Il;Cho, Soo Buem;Park, Sung Eun;Bae, Kyungsoo;Jeon, Kyung Nyeo;Cho, Eun Bin;An, Hyo Jung
    • Investigative Magnetic Resonance Imaging
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    • 제21권2호
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    • pp.114-118
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    • 2017
  • Dermoid cysts are benign congenital tumors composed of keratinizing squamous epithelium and dermal derivatives. They account for less than 1% of all intracranial tumors and are rarely exhibited at the base of the skull. To the best of our knowledge, only one case report has presented computed tomography and conventional T1-weighted magnetic resonance (MR) findings that revealed an infratemporal dermoid cyst. In the present study, we report an unusual case of a dermoid cyst in the right infratemporal fossa, which was incidentally detected by MR imaging with the Dixon technique. This article also highlights the importance of meticulous radiological review and the usefulness of the Dixon technique in everyday clinical practice.

저자장 자기공명영상에서 위상-크기 결합 밀도 함수를 이용한 자동 불균일 자장 보정 물-지방 영상 기법 (Water-Fat Imaging with Automatic Field Inhomogeneity Correction Using Joint Phase Magnitude Density Function at Low Field MRI)

  • 김판기;안창범
    • Investigative Magnetic Resonance Imaging
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    • 제15권1호
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    • pp.57-66
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    • 2011
  • 목적 : 0.35 Teslas의 저자장 자기공명영상 시스템에서 인체 조직의 물 성분 또는 지방 성분의 영상을 얻는데 있어서 주자장의 불균일도를 two-point Dixon 방법을 기반으로 보정하는 새로운 방법을 모색하였다. 대상 및 방법 : Two-point Dixon 방법을 사용하여 물과 지방의 위상이 동상일 때와 역상일 때의 영상들을 얻은 후 그 영상들로부터 위상과 크기의 위상 크기 결합 밀도 함수를 계산하고, 이를 통해 물과 지방의 영역을 분리하여 3차원 볼륨의 물 영역에서의 주자장의 불균일도 패턴을 분석하고 이를 반복적으로 보정하여 주자장의 불균일도를 개선하였다. 결과 : 제안한 영상 기법으로 인체의 여러 부위에서 주자장의 불균일도를 보정한 물과 지방 영상을 얻을 수 있었다. 삼차원 보정을 통하여 멀티 슬라이스 전체 영상에서 균일하게 물 또는 지방만의 영상을 얻을 수 있었다. 결론 : 위상-크기 결합 밀도 함수를 통하여 물과 지방의 영역을 분리할 수 있었고, 이를 이용하여 자장의 불균일도를 분석하고 보정할 수 있었다. 제안한 방법을 통해 주자장의 불균일도가 월등히 개선된 물 또는 지방 영상을 얻을 수 있었다.

건축가 A. 딕슨의 초기작품에 나타난 예술과 공예운동의 특성 (Early Architecture of A. Dixon and Art and Craft Quality)

  • 황보봉
    • 한국산학기술학회논문지
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    • 제20권3호
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    • pp.263-268
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    • 2019
  • 이 논문은 영국 건축가 A. 딕슨의 초기 건축작품에 나타나는 건축적 특징을 파악하고 그의 건축언어로 이해하고자 했으며, 이를 통하여 예술과 공예운동을 깊이 이해할 수 있는 근거로 삼고자 했다. 딕슨은 많은 건축작품을 남기지는 않았지만 예술과 공예건축의 중요한 인물로 평가되고 있으며, 현재에도 큰 존재감을 가지고 있다. 이 논문은 딕슨의 초기작품에 대한 연구가 행해지지 않은 점에 주목하고 딕슨이 설계한 버밍검 길드 홀, 성 앤드류 교회 그리고 성 바질 교회를 대상으로 문헌연구와 현장조사를 거쳐 그의 건축에 나타나는 특징을 규명하고자 했다. 버밍검 길드 홀 설계로 대표되는 그의 작품은 지역의 역사성과 전통성을 중시하는 예술과 공예운동의 속성을 그대로 드러내주고 있으며, 건물의 조형성은 물론 사용되는 재료와 적용된 기술 모두 건축물이 세워지는 지역의 역사와 전통을 따르고자 시도했다. 로마네스크 양식의 차용을 통해 저소득 근로자 주거지에 세워지는 교회에 절제되고 섬세한 디자인을 적용하고 소박한 조형미를 통하여 교회건축의 본질을 표현하고자 한 딕슨의 노력은 주목받을 가치가 있다.

신여성문학의 한계와 극복: 엘라 헵워스 딕슨의 『모던여성의 이야기』 (Limitation and Overcoming in New Women Literature: Ella Hepworth Dixon's The Story of a Modern Woman)

  • 김희선;김일구
    • 영미문화
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    • 제17권1호
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    • pp.55-79
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    • 2017
  • Ella Hepworth Dixon's The Story of a Modern Woman is a pioneering female writer?s important work which was not deeply studied yet very influential in new women literature and its cultural global impact. Although women had been often praised for their beauties specially by romantic poets but their self-realization and innate values were not widely recognized until new women writers advocated their desires and active roles in the society at the end of the $19^{th}$ century. The new women writers including Ella Dixon gained popularity with their professional skills as the journalists or the contributors to the journals which were suddenly popular and actively circulated among Victorian women. From the 1880s to 1920s, in contrast with the traditional images of wives as ?the angel in the house?, these women new women writers broke the yoke of subjugated womanhood and instead tried to freely express their independent spirits and demanded their roles in the society. Although they were criticized sometimes as "the daughter of a new guise" "a lady of restless sex" or "the wild women," new girls? perky images in new women fiction brought into the new cultural phenomenon which led to the ?flapper? girl in the 1920s. Ella Dixon?s protagonist Mary Erle, strikingly similar to author herself, was a representative new woman who displayed a wide range of new cultural perspectives from a feminist?s viewpoint, but her untimely desire in the capitalized society was not fully accomplished, just promising the potentiality of the female solidarity which might be achieved later by her feminist posterity.