• Korean Journal of Mathematics
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• 제13권1호
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• pp.1-11
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• 2005

The purpose of the present paper is to introduce a new concept of the E($^*{\kappa}$)-connection ${\Gamma}^{\nu}_{{\lambda}{\mu}}$, which is both Einstein and ($^*{\kappa}$)-connection, and to obtain a necessary and sufficient condition for the existence of the unique E($^*{\kappa}$)-connection in $n-^*g$-UFT. Next, under this condition, we shall obtain a surveyable tensorial representation of the unique E($^*{\kappa}$)-connection in $n-^*g$-UFT.

• 대한수학회논문집
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• 제23권2호
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• pp.229-239
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• 2008

In n-dimensional unified field theory(n-UFT), the reciprocal representations between the g-unified field tensor $g{\lambda}{\nu}$ and $^*g$-unified field tensor $^*g^{{\lambda}{\nu}}$ play essential role in the study of n-UFT. The purpose of the present paper is to obtain some reciprocal relations between g-unified field tensor and $^*g$-unified field tensor.

• 호남수학학술지
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• 제30권1호
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• pp.53-64
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• 2008

Lower dimensional cases of Einstein's connection were already investigated by many authors for n = 2, 3, 4, 5, 6. In the following series of two papers, we present a surveyable tensorial representation of 8-dimensional Einstein's connection in terms of the unified field tensor: I. The recurrence relations in 8-g-UFT II. The Einstein 's connection in 8-g-UFT In our previous paper [1], we investigated some algebraic structure in Einstein's 8-dimensional unified field theory (i.e., 8-g-UFT), with emphasis on the derivation of the recurrence relations of the third kind which hold in 8-g-UFT. This paper is a direct continuation of [1]. The purpose of the present paper is to prove a necessary and sufficient condition for a unique Einstein's connection to exist in 8-g-UFT and to display a surveyable tensorial representation of 8-dimensional Einstein's connection in terms of the unified field tensor, employing the powerful recurrence relations of the third kind obtained in the first paper [1]. All considerations in this paper are restricted to the first class only of the generalized 8-dimensional Riemannian manifold $X_8$, since the cases of the second class are done in [2], [3] and the case of the third class, the simplest case, was already studied by many authors.

• 호남수학학술지
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• 제27권1호
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• pp.131-140
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• 2005

Lower dimensional cases of Einstein's connection were already investigated by many authors for n = 2, 3, 4, 5, 6, 7. In the following series of two papers, we present a surveyable tensorial representation of 8-dimensional Einstein's connection in terms of the unified field tensor: I. The recurrence relations in 8-g-UFT II. The Einstein's connection in 8-g-UFT In our previous paper [1], we investigated some algebraic structure in Einstein's 8-dimensional unified field theory (i.e., 8-g-UFT), with emphasis on the derivation of the recurrence relations of the third kind which hold in 8-g-UFT. This paper is a direct continuation of [1]. The purpose of the present paper is to prove a necessary and sufficient condition for a unique Einstein's connection to exist in 8-g-UFT and to display a surveyable tensorial representation of 8-dimensional Einstein's connection in terms of the unified field tensor, employing the powerful recurrence relations of the third kind obtained in the first paper [1]. All considerations in this paper are restricted to the second class only of the generalized 8-dimensional Riemannian manifold $X_8$, since the case of the first class are done in [2], [3] and the case of the third class, the simplest case, was already studied by many authors.

• 충청수학회지
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• 제23권2호
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• pp.185-195
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• 2010

In the unified field theory(UFT), in order to find a solution of the Einstein's equation it is necessary and sufficient to study the torsion tensor. The main goal in the present paper is to obtain, using a given torsion tensor (3.1), the complete representation of a particular solution of the Einstein's equation in terms of the basic tensor $g_{{\lambda}{\nu}}$ in even-dimensional UFT $X_n$.

• 호남수학학술지
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• 제28권4호
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• pp.605-639
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• 2006

Lower dimensional cases of Einstein's connection were already investigated by many authors for n = 2,3,4,5,6,7. This paper is the first part of the following series of two papers, in which we obtain a surveyable tensorial representation of 8-dimensional Einstein's connection in terms of the unified field tensor, with main emphasis on the derivation of powerful and useful recurrence relations which hold in 8-dimensional Einstein's unified field theory(i.e., 8-g-UFT): I. The recurrence relations in 8-g-UFT II. The Einstein's connection in 8-g-UFT All considerations in these papers are restricted to the first class only of the generalized 8-dimensional Riemannian manifold $X_8$.

• 호남수학학술지
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• 제26권4호
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• pp.509-532
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• 2004

Lower dimensional cases of Einstein's connection were already investigated by many authors for n = 2, 3, 4, 5, 6, 7. This paper is the first part of the following series of two papers, in which we obtain a surveyable tensorial representation of 8-dimensional Einstein's connection in terms of the unified field tensor, with main emphasis on the derivation of powerful and useful recurrence relations which hold in 8-dimensional Einstein's unified field theory(i.e., 8-g-UFT): I. The recurrence relations in 8-g-UFT II. The Einstein's connection in 8-g-UFT All considerations in these papers are restricted to the second class only, since the case of the first class are done in [1], [2] and the case of the third class, the simplest case, was already studied by many authors.

• Journal of Chest Surgery
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• 제40권6호
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• pp.428-434
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• 2007

배경: 최근의 연구들에서 완전 절제된 병기 IB (pT2N0) 비소세포폐암 환자에서 수술 후 보조 항암요법으로 UFT의 효과에 대해 보고되고 있다. 이에 본 저자들은 완전 절제된 병기 IB 비소세포폐암에서 보조 항암요법으로 UFT의 가능성을 확인하고자 본 연구를 진행하였다. 대상 및 방법: 완전 절제된 병기 IB 비소세포페암 환자를 대상으로 무작위로 수술 후 2년간 3g의 UFT 사용군(UFT군)과 수술만 시행한 군(비교군)으로 나누었다. 모든 환자는 사망 또는 관찰 완료시점(2006년 12월 31일)까지 추적하였다. 결과: 2002년 6월부터 2004년 12월까지 모두 64명의 환자가 포함되었고 UFT 사용군이 35명, 비교군이 29명이었다 모든 환자의 추적 기간의 중앙값은 32.8개월이었으며 모든 환자에 있어서 관찰종료시점까지 추적이 가능하였다. UFT군에서 UFT 투여된 기간의 중앙값은 98주(범위: $2{\sim}129$주)였다. 약물의 순응도는 6개월에 88.2%, 12개월에 87.5%, 18개월에 80.6%, 24개월에 66.7%였다. 추적중 비교군에서 7명(24.1%), UFT군에서 6명(17.1%)의 환자가 재발하였다(p=0.489). 3년 무병생존율은 비교군에서 71.3%, UFT군에서 82.0%였다(p=0.331). 비소세포폐암 중 선암만을 대상으로 비교 시 3년 무병생존율이 비교군에서 45.0%, UFT군에서 75.2%였고(p=0.121) 비-선암을 대상을 했을 때 3년 무병생존율이 비교군에서 88.1%, UFT군에서 88.9%였다(p=0.964). 결론: 병기 IB 비소세포폐암에서 수술 후 경구 UFT의 보조항암요법은 안전하게 장기간 투여할 수 있었고 비록 통계학적인 의의를 얻지는 못했으나 완전 절제된 IB기 비소세포폐암 환자에서 수술 후 UFT보조항암요법은 생존율의 향상에 기여할 것으로 기대되며 특히 선암 환자에 있어서 생존율의 향상을 기대할 수 있을 것으로 판단된다. 향후 많은 환자를 대상으로 하는 선향적 무작위연구가 필요하리라 여겨진다.

• 한국수학교육학회지시리즈A:수학교육
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• 제17권1호
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• pp.71-73
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• 1978

• Journal of applied mathematics & informatics
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• 제6권2호
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• pp.575-588
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• 1999

Lower dimensional cases of Einstein's connection were al-ready investigated by many authors for n =2,4. This paper is to ob-tain a surveyable tensorial representation of n-dimensional Einstein's connection in terms of the unified field tensor with main emphasis on the derivation of powerful and useful recurrence relations which hold in n-dimensional Einstein's unified field theory(i.e., n-*g-UFT): All con-siderations in this paper are restricted to the third class only.