• Title/Summary/Keyword: Metric

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Verification of digital camera for slope analysis

  • Chi, Kwang-Hoon;Lee, Sung-Soon
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2002년도 Proceedings of International Symposium on Remote Sensing
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    • pp.144-144
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    • 2002
  • Analysis techniques using stereo-photos of object is used widely in close-range-photogrammetry field. but, there is difficulty to use metric camera for specialist. In this study, stereo images were acquired using metric camera and general digital camera about slide in Youngdong area. And they were generated two DEMs based metric camera and digital camera. And it was analyzed the correlation of two DEMs. Therefore, in research that was presented effectiveness of digital camera take the place of metric camera for slope analysis.

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FINSLER SPACES WITH CERTAIN ($\alpha$,$\beta$)-METRIC OF DOUGLAS TYPE

  • Park, Hong-Suh;Lee, Yong-Duk
    • 대한수학회논문집
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    • 제16권4호
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    • pp.649-658
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    • 2001
  • We shall find the condition for a Finsler space with a special ($\alpha$.$\beta$)-metric L($\alpha$.$\beta$) satisfying L$^2$ =2$\alpha$$\beta$ to be a Douglas space. The special Randers change of the above Finsler metric by $\beta$ is also studied.

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EXTENSIONS OF BANACH'S AND KANNAN'S RESULTS IN FUZZY METRIC SPACES

  • Choudhur, Binayak S.;Das, Krishnapada;Das, Pradyut
    • 대한수학회논문집
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    • 제27권2호
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    • pp.265-277
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    • 2012
  • In this paper we establish two common fixed point theorems in fuzzy metric spaces. These theorems are generalisations of the Banach contraction mapping principle and the Kannan's fixed point theorem respectively in fuzzy metric spaces. Our result is also supported by examples.

CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD ENDOWED WITH A QUARTER SYMMETRIC METRIC CONNECTION

  • Ahmad, Mobin
    • 대한수학회보
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    • 제49권1호
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    • pp.25-32
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    • 2012
  • We define a quarter symmetric metric connection in a Lorentzia para-Sasakian manifold and study CR-submanifolds of a Lorentzian para-Sasakian manifold endowed with a quarter symmetric metric connection. Moreover, we also obtain integrability conditions of the distributions on CR-submanifolds.

RIEMANNIAN MANIFOLDS WITH A SEMI-SYMMETRIC METRIC P-CONNECTION

  • Chaubey, Sudhakar Kr;Lee, Jae Won;Yadav, Sunil Kr
    • 대한수학회지
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    • 제56권4호
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    • pp.1113-1129
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    • 2019
  • We define a class of semi-symmetric metric connection on a Riemannian manifold for which the conformal, the projective, the concircular, the quasi conformal and the m-projective curvature tensors are invariant. We also study the properties of semisymmetric, Ricci semisymmetric and Eisenhart problems for solving second order parallel symmetric and skew-symmetric tensors on the Riemannian manifolds equipped with a semi-symmetric metric P-connection.

CONFORMAL TRANSFORMATION OF LOCALLY DUALLY FLAT FINSLER METRICS

  • Ghasemnezhad, Laya;Rezaei, Bahman
    • 대한수학회보
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    • 제56권2호
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    • pp.407-418
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    • 2019
  • In this paper, we study conformal transformations between special class of Finsler metrics named C-reducible metrics. This class includes Randers metrics in the form $F={\alpha}+{\beta}$ and Kropina metric in the form $F={\frac{{\alpha}^2}{\beta}}$. We prove that every conformal transformation between locally dually flat Randers metrics must be homothetic and also every conformal transformation between locally dually flat Kropina metrics must be homothetic.

COUPLED FIXED POINT RESULTS IN G-FUZZY METRIC SPACES FOR WEAKLY COMPATIBLE MAPPINGS

  • Das, Krishnapada;Sarkar, Krishna Kanta
    • Korean Journal of Mathematics
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    • 제29권3호
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    • pp.455-466
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    • 2021
  • Coupled fixed point results have attracted much attention among the researchers in recent times specially in the field of fuzzy metric spaces. In this paper we established a coupled fixed point result for weakly compatible mappings in G-fuzzy metric spaces. We have deduced a corollary to our main theorem. Our result also supported by examples.

ON 3-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS WITH RESPECT TO SEMI-SYMMETRIC METRIC CONNECTION

  • Pahan, Sampa
    • 충청수학회지
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    • 제34권3호
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    • pp.235-251
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    • 2021
  • The aim of the present paper is to study 3-dimensional trans-Sasakian manifold with respect to semi-symmetric metric connection. Firstly, we prove that extended generalized M-projective 𝜙-recurrent 3-dimensional trans-Sasakian manifold with respect to semi-symmetric metric connection is an 𝜂-Einstein manifold with respect to Levi-Civita connection under some certain conditions. Later we study some curvature properties of 3-dimensional trans-Sasakian manifold admitting the above connection.

TOPOLOGICAL ENTROPY OF EXPANSIVE FLOW ON TVS-CONE METRIC SPACES

  • Lee, Kyung Bok
    • 충청수학회지
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    • 제34권3호
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    • pp.259-269
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    • 2021
  • We shall study the following. Let 𝜙 be an expansive flow on a compact TVS-cone metric space (X, d). First, we give some equivalent ways of defining expansiveness. Second, we show that expansiveness is conjugate invariance. Finally, we prove that lim sup ${\frac{1}{t}}$ log v(t) ≤ h(𝜙), where v(t) denotes the number of closed orbits of 𝜙 with a period 𝜏 ∈ [0, t] and h(𝜙) denotes the topological entropy. Remark that in 1972, R. Bowen and P. Walters had proved this three statements for an expansive flow on a compact metric space [?].