• Title/Summary/Keyword: Slant

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SHAPE OPERATOR OF SLANT SUBMANIFOLDS IN SASAKIAN SPACE FORMS

  • Kim, Young-Ho;Lee, Chul-Woo;Yoon, Dae-Won
    • Bulletin of the Korean Mathematical Society
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    • v.40 no.1
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    • pp.63-76
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    • 2003
  • In this article, we establish relations between the sectional curvature and the shape operator and also between the k-Ricci curvature and the shape operator for a slant submanifold in a Sasakian space form of constant $\varphi-sectional$ curvature with arbitrary codimension.

BIHARMONIC SPACELIKE CURVES IN LORENTZIAN HEISENBERG SPACE

  • Lee, Ji-Eun
    • Communications of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.1309-1320
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    • 2018
  • In this paper, we show that proper biharmonic spacelike curve ${\gamma}$ in Lorentzian Heisenberg space (${\mathbb{H}}_3$, g) is pseudo-helix with ${\kappa}^2-{\tau}^2=-1+4{\eta}(B)^2$. Moreover, ${\gamma}$ has the spacelike normal vector field and is a slant curve. Finally, we find the parametric equations of them.

A Study of Seam Puckering in Thin Fabrics (박지직물의 Seam Puckering에 관한 연구)

  • Park Chung Soon
    • Journal of the Korean Society of Clothing and Textiles
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    • v.1 no.2
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    • pp.81-88
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    • 1977
  • In order to investigate seam puckering in thin fabrics for summer clothing, this experiment was conducted. Eight different fabrics were sewn with ten different kinds of sewing thread, three different sizes of stitch, and three sewing directions and effects on puckering were examined. The results are as follows: 1. More seam puckering appears on thin fabrics than on thick ones. 2. Less seam puckering appears with the smaller sizes of stitch. 3. Slant direction of sewing gets less seam puckering. 4. Almost no puckering appears with slant direction even after washing.

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INTEGRAL CURVES CONNECTED WITH A FRAMED CURVE IN 3-SPACE

  • Mustafa Duldul;Zeynep Bulbul
    • Honam Mathematical Journal
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    • v.45 no.1
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    • pp.130-145
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    • 2023
  • In this paper, we define some integral curves connected with a framed curve in Euclidean 3-space. These curves include framed generalized principal-direction curve, framed generalized binormal-direction curve, framed principal-donor curve and framed Darboux-direction curve. We obtain some relations between the framed curvatures of new defined framed curves and framed curvatures of given framed curve. By using the obtained relationships we give some characterizations for such curves. We also give methods for constructing framed helix and framed slant helix from planar curves.

GEOMETRIC INEQUALITIES FOR WARPED PRODUCTS SUBMANIFOLDS IN GENERALIZED COMPLEX SPACE FORMS

  • Mohd Aquib;Mohd Aslam;Michel Nguiffo Boyom;Mohammad Hasan Shahid
    • Communications of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.179-193
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    • 2023
  • In this article, we derived Chen's inequality for warped product bi-slant submanifolds in generalized complex space forms using semisymmetric metric connections and discuss the equality case of the inequality. Further, we discuss non-existence of such minimal immersion. We also provide various applications of the obtained inequalities.

Slant Estimation and Correction for the Off-Line Handwritten Hangul String Using Hough transform (Hough 변환을 이용한 오프라인 필기 한글 문자열의 기울기 추정 및 교정)

  • 이성환;이동준
    • Korean Journal of Cognitive Science
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    • v.4 no.1
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    • pp.243-260
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    • 1993
  • This paper presents an efficient method for estimationg and correcting the slant of off-line handwritten Hangul strings.In the proposed method,after extracting contours from input image.Hough tranform is applied to the contours to detect lines and estimate slants of the lines.When Hough trans form is applied to the contours,pixels which are not parts of the same stroke could be detected as a line.In order to exclude these lines from slant estimation process,detected lines which have the length less than threshold are eliminated.Experiments have been performed with address images which were extracted from live envelopes provided by Seoul Mail Center.Experimental results show that the proposed method is superior to the previous methods,which had been done with handwritten English strings.in estimation the slant of off-line handwritten Hangul strings.

Study of MTF Measure That Adopts a Fitting Curve for the Variable Angle of a Slant Target in Presampled MTF (Presampled MTF 기법에서 Slant Target의 다양한 각도에 대한 함수 Fitting이 적용된 MTF 측정기법에 관한 연구)

  • Choi, Siyoun;Kim, Junghwan;Kong, Hyunbae;Kim, Donghwan;Baek, Kyounghoon;Park, Ingu;Jeon, Hyowon;Lee, Kinam
    • Korean Journal of Optics and Photonics
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    • v.33 no.6
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    • pp.310-316
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    • 2022
  • In this paper, the difference in modulation transfer function (MTF) results according to the change in the angle of a slant target when measuring a presampled MTF was confirmed, and the difference was reduced by fitting the edge spread function graph obtained to reduce the error by the target's rotation. Due to the feature of the presampled MTF method, the spatial frequency changed due to the sensor's projected intensity being changed by the target's rotation, and it was confirmed that the difference in the MTF value occurred depending on the rotation angle of the target. In this paper, the MTF was calculated after fitting only one column of the acquired image. It was confirmed that the rotation error is smaller compared to the case of the presampled MTF method and this fitting method can be applied to a scene that contains various target angles, such as auto-focusing using the MTF.

Analytical study of slant end-plate connection subjected to elevated temperatures

  • Zahmatkesh, F.;Osman, M.H.;Talebi, E.;Kueh, A.B.H.
    • Steel and Composite Structures
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    • v.17 no.1
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    • pp.47-67
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    • 2014
  • Due to thermal expansion, the structural behaviour of beams in steel structures subjected to temperature increase will be affected. This may result in the failure of the structural members or connection due to extra internal force in the beam induced by the thermal increase. A method to release some of the thermally generated internal force in the members is to allow for some movements at the end supports of the member. This can be achieved by making the plane of the end-plate of the connection slanted instead of vertical as in conventional design. The present paper discusses the mechanical behaviour of beams with bolted slant end-plate connection under symmetrical gravity loads, subjected to temperature increase. Analyses have been carried out to investigate the reduction in internal force with various angles of slanting, friction factor at the surface of the connection, and allowable temperature increase in the beam. The main conclusion is that higher thermal increase is tolerable when slanting connection is used, which means the risk of failure of structures can be reduced.