• 제목/요약/키워드: f-structure

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Integrability of the Metallic Structures on the Frame Bundle

  • Islam Khan, Mohammad Nazrul
    • Kyungpook Mathematical Journal
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    • 제61권4호
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    • pp.791-803
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    • 2021
  • Earlier investigators have made detailed studies of geometric properties such as integrability, partial integrability, and invariants, such as the fundamental 2-form, of some canonical f-structures, such as f3 ± f = 0, on the frame bundle FM. Our aim is to study metallic structures on the frame bundle: polynomial structures of degree 2 satisfying F2 = pF +qI where p, q are positive integers. We introduce a tensor field Fα, α = 1, 2…, n on FM show that it is a metallic structure. Theorems on Nijenhuis tensor and integrability of metallic structure Fα on FM are also proved. Furthermore, the diagonal lifts gD and the fundamental 2-form Ωα of a metallic structure Fα on FM are established. Moreover, the integrability condition for horizontal lift FαH of a metallic structure Fα on FM is determined as an application. Finally, the golden structure that is a particular case of a metallic structure on FM is discussed as an example.

FINSLER METRICS COMPATIBLE WITH f(5,1)-STRUCTURE

  • Park, Hong-Suh;Park, Ha-Yong
    • 대한수학회논문집
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    • 제14권1호
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    • pp.201-210
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    • 1999
  • We introduce the notion of the Finsler metrics compatible with f(5,1)-structure and investigate the properties of Finsler space with such metrics.

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Finsler Metrics Compatible With A Special Riemannian Structure

  • Park, Hong-Suh;Park, Ha-Yong;Kim, Byung-Doo
    • 대한수학회논문집
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    • 제15권2호
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    • pp.339-348
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    • 2000
  • We introduce the notion of the Finsler metrics compat-ible with a special Riemannian structure f of type (1,1) satisfying f6+f2=0 and investigate the properties of Finsler space with them.

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On a Structure De ned by a Tensor Field F of Type (1, 1) Satisfying $ \prod\limits_{j=1}^{k}$[F2+a(j)F+λ2(j)I]=0

  • Das, Lovejoy;Nivas, Ram;Singh, Abhishek
    • Kyungpook Mathematical Journal
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    • 제50권4호
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    • pp.455-463
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    • 2010
  • The differentiable manifold with f - structure were studied by many authors, for example: K. Yano [7], Ishihara [8], Das [4] among others but thus far we do not know the geometry of manifolds which are endowed with special polynomial $F_{a(j){\times}(j)$-structure satisfying $$\prod\limits_{j=1}^{k}\;[F^2+a(j)F+\lambda^2(j)I]\;=\;0$$ However, special quadratic structure manifold have been defined and studied by Sinha and Sharma [8]. The purpose of this paper is to study the geometry of differentiable manifolds equipped with such structures and define special polynomial structures for all values of j = 1, 2,$\ldots$,$K\;\in\;N$, and obtain integrability conditions of the distributions $\pi_m^j$ and ${\pi\limits^{\sim}}_m^j$.

3D NAND Flash Memory에 Ferroelectric Material을 사용한 Current Path 개선 (Improvement of Current Path by Using Ferroelectric Material in 3D NAND Flash Memory)

  • 이지환;이재우;강명곤
    • 전기전자학회논문지
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    • 제27권4호
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    • pp.399-404
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    • 2023
  • 본 논문에서는 3D NAND Flash memory의 O/N/O(Oxide/Nitride/Oxide) 구조와 blocking oxide를 ferroelectric material로 대체한 O/N/F(Oxide/Nitride/Ferroelectric) 구조의 current path를 분석했다. O/N/O 구조는 Vread가 인가되면 neighboring cell의 E-field로 인해 current path가 channel 후면에 형성된다. 반면 O/N/F 구조는 ferroelectric material의 polarization으로 인해 electron이 channel 전면으로 이동하여 current path가 전면에 형성된다. 또한 channel thickness와 channel length에 따른 소자 특성을 분석했다. 분석 결과 O/N/F 구조의 전면 electron current density 증가는 O/N/O 구조보다 2.8배 더 높았고 O/N/F 구조의 전면 electron current density 비율이 17.7% 높았다. 따라서 O/N/O 구조보다 O/N/F 구조에서 전면 current path가 더 효과적으로 형성된다.

도시 가정의 생활사건 요인구조와 관련변인 (The Facotr Structure of Urban Family Life Events and Related Variables)

  • 임정빈
    • 대한가정학회지
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    • 제31권4호
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    • pp.115-132
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    • 1993
  • This study was designed with the purpose to analyze the factor structure of family life events and to clear the influence of related variables on family life events. The frequence of experienced events and the degree of importance of events which were the constituent components of family life events was estimated by the 650 married woman in Kangju. The results were as follows: 1. 15 factors of family life events derived by factor analysis: F.1「Expenditure and economic loss」, F.2「Growth and change of children」, F.3「Change of family structure」, F.4「Family's change」, F.5「Change of life level」, F.6「Family's social problem」, F.7「Need of care」, F.8「Family's health」, F.9「Marital relationship」, F.10「Family's social damage」, F.11「Breach with acquaintance」, F.12「Financial difficulties」F.13「Husband's problem」, F.14「Housewives' social activity」, F.15「Kinship's support」. 2. There frequence of experienced family life events such as expenditure and economic loss and breach with acquaintance was highest. 3. The degree of importance about experienced family life events such as growth and change of children was highest. 4. Age, family life cycle have significantly differenced on the degree of importance and the frequence of experienced events. 5. Education's level, family size, income, housewives' employment and family structure have differently differenced on the degree of importance and the frequence of experienced events according event factor.

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ON THE FINSLER SPACES WITH f-STRUCTURE

  • Park, Hong-Suh;Lee, Il-Yong
    • 대한수학회보
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    • 제36권2호
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    • pp.217-224
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    • 1999
  • In this paper the properties of the Finsler metrics compatible with an f-structure are investigated.

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ON F-STRUCTURE MANIFOLD

  • Upadhyay, M.D.;Das, Lovejoy S.K.
    • Kyungpook Mathematical Journal
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    • 제18권2호
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    • pp.277-283
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    • 1978
  • The first part of this paper is devoted to the study of F-structure satisfying: $F^K+(-)^{K+1}F=0$ and $F^W+(-)^{W+1}F{\neq}0$, for 1$${\geq_-}3$$) has been considered. In the later part some structures involving Lie-derivatives. exterior and co-derivatives have been studied.

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조건수를 이용한 6자유도 F/T센서의 최적구조에 관한 연구 (A Study on the optimal structure of 6 D.O.F F/T Sensor using the condition number)

  • 장완식;김재명
    • 한국안전학회지
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    • 제11권4호
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    • pp.16-23
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    • 1996
  • In controlling manipulators interacting with the external environment, an important role is played by the Force/Torque(F/T) sensors. Recently, a number of structures for F/T sensors have been proposed, and some criteria for their evaluation have been introduced. This paper presents a systematic analysis of F/T sensor at the design stage. A model of the F/T sensors, based on Stewart Platform structure, is developed on the basis of static and kinematic equation. The condition number defined by the kinematic velocity and force analysis of F/T sensor is used as a performance Index. Thus, 4 optimal structure factors of 6 D.O. F. F/T sensor are determined by using the condition number.

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LiF/Al/LiF 구조를 적용한 OLED 소자의 발광 특성 (Emission Characteristics of OLEDs Using LiF/Al/LiF Structure)

  • 박연석;양재웅;주성후
    • 한국전기전자재료학회논문지
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    • 제23권9호
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    • pp.696-700
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    • 2010
  • We fabricated red and blue organic light emitting display (OLEDs) which had the two kinds of multi-structure of ITO/HIL/HTL/EML/ETL/LiF/Al and ITO/HIL/HTL/EML/ETL/LiF/Al/LiF. In the case of red OLED that had LiF/Al/LiF structure compared to LiF/Al structure, the current density increased from 4.3 mA/$cm^2$ to 7.3 mA/$cm^2$, and the brightness increased from 488 cd/$m^2$ to 1,023 cd/$m^2$ at 7.0 V, and as a result the current efficiency was improved from 11.28 cd/A to 13.95 cd/A. Also in the case of blue OLED that had LiF on Al cathode layer, the current density increased from 1.2 mA/$cm^2$ to 1.8 mA/$cm^2$, and the brightness increased from 45 cd/$m^2$ to 85 cd/$m^2$ at 7.0 V, and as a result the current efficiency was improved from 3.69 cd/A to 4.82 cd/A. Through these experimental results it could be suggested that the LiF layer formed on Al prevents the oxidation of Al surface, and the electrode resistance become low with increase of supplied electrons, therefore the brightness and the efficiency are improved from the influence to the well-balanced bonding of electron and hole at emitting layer.