• Korean Journal of Mathematics
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• v.13 no.1
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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.

• Communications of the Korean Mathematical Society
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• v.23 no.2
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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.

• Honam Mathematical Journal
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• v.30 no.1
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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.

• Honam Mathematical Journal
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• v.27 no.1
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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.

• Journal of the Chungcheong Mathematical Society
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• v.23 no.2
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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 $X_n$.

• Honam Mathematical Journal
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• v.28 no.4
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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 $X_8$.

• Honam Mathematical Journal
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• v.26 no.4
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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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• v.40 no.6 s.275
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• pp.428-434
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• 2007

Background: Recent studies have suggested that UFT may be an effective adjuvant therapy for completely resected IB (pT2N0) non-small cell lung cancer (NSCLC). We designed this study to clarify the feasibility of performing adjuvant chemotherapy with UFT for completely resected IB nor-small cell lung cancer, Material and Method: We randomly assigned patients suffering with completely resected IB non-small cell lung cancer to receive either UFT 3g for 2 year or they received no treatment. All patients had to be followed until death or the cut-off date (December 31 2006). Result: From June 2002 through December 2004, 64 patients were enrolled. Thirty five patients were assigned to receive UFT (the UFT group) and 29 patients were assigned to observation (the control group). A follow-up surrey on the 3 year survival rate was successfully completed for all the patients. The median follow-up time for all the patients was 32.8 months. In the UFT group, the median time of administration was 98 weeks (range: $2{\sim}129$ weeks). The rate of compliance was 88.2% at 6 months, 87.5% at 12 months, 80.6% at 18 month and 66.7% at 24 months. Seven recurrences (24.1%) occurred in the control group and six (17.1%) occurred in the UFT group (p=0,489). The three-year disease free survival rate was 71.3% for the control group and 82.0% for the UFT group (p=0.331). On the subgroup analysis, the three-year disease free survival rate for the patients with adenocacinoma was 45.0% for the control group and 75.2% for the UFT group (p=0.121). The three-year disease free survival rate for the patients with non-adenocarcinoma was 88.1% for the control group and 88.9% for the UFT group (p=0.964), Conclusion: Postoperative oral administration of UFT was well-tolerated. Adjuvant chemotherapy with UFT for completely resected pT2N0 adenocarcinoma of the lung could be expected to improve the disease free survival, but this failed to achieve statistical significance. A prospective randomized study for a large number of patients will be necessary.

• The Mathematical Education
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• v.17 no.1
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• pp.71-73
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• 1978

• Journal of applied mathematics & informatics
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• v.6 no.2
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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.