• 제목/요약/키워드: Alpha-connection

검색결과 86건 처리시간 0.022초

ON THE BERWALD CONNECTION OF A FINSLER SPACE WITH A SPECIAL $({\alpha},{\beta})$-METRIC

  • Park, Hong-Suh;Park, Ha-Yong;Kim, Byung-Doo
    • 대한수학회논문집
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    • 제12권2호
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    • pp.355-364
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    • 1997
  • In a Finsler space, we introduce a special $(\alpha,\beta)$-metric L satisfying $L^2(\alpha,\beta) = c_1\alpha^2 + 2c_2\alpha\beta + c_3\beta^2$, which $c_i$ are constants. We investigate the Berwald connection in a Finsler space with this special $\alpha,\beta)$-metric.

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Conformal transformations of difference tensors of Finsler space with an $(alpha,beta)$-metric

  • Lee, Yong-Duk
    • 대한수학회논문집
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    • 제12권4호
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    • pp.975-984
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    • 1997
  • In the Finsler space with an $(\alpha, \beta)$-metric, we can consider the difference tensors of the Finsler connection. The properties of the conformal transformation of these difference tensors are investigated in the present paper. Some conformal invariant tensors are formed in the Finsler space with an $(\alpha, \beta)$-metric related with the difference tensors.

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α-SCALAR CURVATURE OF THE t-MANIFOLD

  • Cho, Bong-Sik;Jung, Sun-Young
    • 호남수학학술지
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    • 제33권4호
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    • pp.487-493
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    • 2011
  • The Fisher information matrix plays a significant role in statistical inference in connection with estimation and properties of variance of estimators. In this paper, we define the parameter space of the t-manifold using its Fisher's matrix and characterize the t-manifold from the viewpoint of information geometry. The ${\alpha}$-scalar curvatures to the t-manifold are calculated.

A note on the geometric structure of the t-distribution

  • Cho, Bong-Sik;Jung, Sun-Young
    • Journal of the Korean Data and Information Science Society
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    • 제21권3호
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    • pp.575-580
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    • 2010
  • The Fisher information matrix plays a significant role in statistical inference in connection with estimation and properties of variance of estimators. In this paper, the parameter space of the t-distribution using its Fisher's matrix is de ned. The ${\alpha}$-scalar curvatures to parameter space are calculated.

ALMOST α-COSYMPLECTIC f-MANIFOLDS ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

  • Beyendi, Selahattin;Aktan, Nesip;Sivridag, Ali Ihsan
    • 호남수학학술지
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    • 제42권1호
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    • pp.175-185
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    • 2020
  • In this paper, we introduce almost α-Cosymplectic f-manifolds endowed with a semi-symmetric non-metric connection and give some general results concerning the curvature of such connection. In particular, we study some curvature properties of an almost α-cosymplectic f-manifold equipped with semi-symmetric non-metric connection.

TRANS-SASAKIAN MANIFOLDS WITH RESPECT TO GENERALIZED TANAKA-WEBSTER CONNECTION

  • Kazan, Ahmet;Karadag, H.Bayram
    • 호남수학학술지
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    • 제40권3호
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    • pp.487-508
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    • 2018
  • In this study, we use the generalized Tanaka-Webster connection on a trans-Sasakian manifold of type (${\alpha},{\beta}$) and obtain the curvature tensors of a trans-Sasakian manifold with respect to this connection. Also, we investigate some special curvature conditions of a trans-Sasakian manifold with respect to generalized Tanaka-Webster connection and finally, give an example for trans-Sasakian manifolds.

ON TWO-DIMENSIONAL LANDSBERG SPACE WITH A SPECIAL (${\alpha},\;{\beta}$)-METRIC

  • Lee, Il-Yong
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제10권4호
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    • pp.279-288
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    • 2003
  • In the present paper, we treat a Finsler space with a special (${\alpha},\;{\beta}$)-metric $L({\alpha},\;{\beta})\;\;C_1{\alpha}+C_2{\beta}+{\alpha}^2/{\beta}$ satisfying some conditions. We find a condition that a Finsler space with a special (${\alpha},\;{\beta}$)-metric be a Berwald space. Then it is shown that if a two-dimensional Finsler space with a special (${\alpha},\;{\beta}$)-metric is a Landsberg space, then it is a Berwald space.

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상·하부 T-stub 접합부의 초기회전강성 평가 (Evaluation of the Initial Rotational Stiffness of a Double Split Tee Connection)

  • 김희동;양재근;이재윤;이형동
    • 한국강구조학회 논문집
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    • 제26권2호
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    • pp.133-142
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    • 2014
  • 상 하부 T-stub 접합부는 보와 기둥의 강성비, T-stub의 기하학적 형상변화, 긴결재의 개수, 패널존 효과 등의 영향에 따라서 보통모멘트골조 및 특수모멘트골조에 적합한 거동특성을 나타내는 완전강도 부분강접 접합부(full strength partial restrained connection)이다. 이러한 상 하부 T-stub 접합부가 구조적으로 안전하게 거동하기 위해서는 충분한 강도, 강성, 연성능력을 나타내어야 한다. 이 연구는 T-stub의 기하학적 형상변화가 상 하부 T-stub 접합부의 모멘트-회전각 관계에 미치는 영향을 파악하고, 이에 따른 상 하부 T-stub 접합부의 초기회전강성을 평가하기 위해 진행하였다. 이를 위하여 T-stub의 기하학적 형상변수 ${\alpha}^{\prime}$값을 변화시킨 2개의 상 하부 T-stub 접합부 실험체를 제작하여 접합부 실험을 수행하였고, 3차원 비선형 유한요소해석도 수행하였다.

ATM기반 유무선 통합망에서 이동성으로 인한 핸드오프 QoS보장 방안 (Handoff QoS guarnatee on ATM-based wired/wireless integrated network)

  • 장경훈;강경훈;심재정;김덕진
    • 전자공학회논문지S
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    • 제34S권10호
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    • pp.33-51
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    • 1997
  • On ATM-based wired/wireless integrated network, we apply the connection re-routing method[1] which reduced the inter-cluster handoff delay by reserving VPI/VCLs for possible inter-cluster handoff calls in advance. Additionally, we propose wired resource reservation methods, which are ausiliary method and split method, for handoff QoS guarantee of various expected services. The characteristics of these methods reserve wired connection resources based on the information on the possible inter-cluster handoff calls. With mathematical analysis, we also propose each algorithm and cost function for deciding an optimal amount in reserving resources. With numberical examples, we can see that the auxiliary method effectively reduces the cost in all cases(.alpha.>.betha., .alpha.=.betha., and .alpha.<.betha.). The split method has a little cost-reduction effects, when handoffs call does not have priority over new calls (that is, .alpha..leq..betha.) and the total capacity is relatively large. In other cases, the split method, however, has effective cost-reduction effects. The numerical resutls show that these reservation methods ca flexibly cope with the time-variant environment and meet the QoS requriements on the inter-cluster handoff calls.

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