• Title/Summary/Keyword: B-H Curve

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A Study on the Comparison for Shape Interpolation of Magnified Image (확대 영상의 보간에 관한 비교 연구)

  • Lee, Y.J.;Lee, H.W.;Lee, H.A.
    • Proceedings of the KIEE Conference
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    • 1999.07g
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    • pp.3165-3168
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    • 1999
  • When a input image is extensively magnified on the computer system, it is almost impossible to replicate the original shape because of mismatched coordinates system. In order to resolve the problem, the shape of the magnified image has been reconfigured using the bilinear interpolation method, low pass special filtering interpolation method and B-spline interpolation method. Ferguson curve interpolation method based on the CAD/CAM curve interpolation algorithm.

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WEIERSTRASS SEMIGROUPS OF PAIRS ON H-HYPERELLIPTIC CURVES

  • KANG, EUNJU
    • The Pure and Applied Mathematics
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    • v.22 no.4
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    • pp.403-412
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    • 2015
  • Kato[6] and Torres[9] characterized the Weierstrass semigroup of ramification points on h-hyperelliptic curves. Also they showed the converse results that if the Weierstrass semigroup of a point P on a curve C satisfies certain numerical condition then C can be a double cover of some curve and P is a ramification point of that double covering map. In this paper we expand their results on the Weierstrass semigroup of a ramification point of a double covering map to the Weierstrass semigroup of a pair (P, Q). We characterized the Weierstrass semigroup of a pair (P, Q) which lie on the same fiber of a double covering map to a curve with relatively small genus. Also we proved the converse: if the Weierstrass semigroup of a pair (P, Q) satisfies certain numerical condition then C can be a double cover of some curve and P, Q map to the same point under that double covering map.

Method of AC Loss Under a Condition of Sinusoidal Flux Density Using Digital Feedback (정현파 자속밀도 제어와 디지털 궤환을 이용한 AC 손실 측정방법)

  • Jang, Pyung-Woo
    • Journal of the Korean Magnetics Society
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    • v.22 no.1
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    • pp.23-26
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    • 2012
  • New digital feedback algorithm was developed to measure iron loss of soft magnetic materials under a condition of sinusoidal flux waveform. $V_{in}$(B) curve was used instead of H(B) curve to decide next input waveform in the feedback module so that adjusting phases of current waveform, flux waveform, and input waveform could be removed. The effectiveness of the developed algorithm was verified when iron loss of ferrite cores was measured under frequencies of 1 and 10 kHz.

IUE ARCHIVAL SPECTRA OF 31 CYGNI

  • Kang, Young-Woon
    • Journal of Astronomy and Space Sciences
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    • v.8 no.1
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    • pp.53-61
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    • 1991
  • UV light curve of 31 Cygni has been made from the IUE high dispersion specta. The depth of primary minimum of the light curve is 5.2 magnitudes because the B4 star's steep spectral gradient. The light curve has been analyzed by the method of Wilson and Devinney Differential Correction (WD). The radial velocities have been measured using the Mg II h lines. The spectroscopic elements have been determined by the method of WD. The change of the Mg II resonance doublet has been investigated based on the eight representative spectra taken at well distributed orbital phases.

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BIHARMONIC CURVES IN 3-DIMENSIONAL LORENTZIAN SASAKIAN SPACE FORMS

  • Lee, Ji-Eun
    • Communications of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.967-977
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    • 2020
  • In this article, we find the necessary and sufficient condition for a proper biharmonic Frenet curve in the Lorentzian Sasakian space forms 𝓜31(H) except the case constant curvature -1. Next, we find that for a slant curve in a 3-dimensional Sasakian Lorentzian manifold, its ratio of "geodesic curvature" and "geodesic torsion -1" is a constant. We show that a proper biharmonic Frenet curve is a slant pseudo-helix with 𝜅2 - 𝜏2 = -1 + 𝜀1(H + 1)𝜂(B)2 in the Lorentzian Sasakian space forms x1D4DC31(H) except the case constant curvature -1. As example, we classify proper biharmonic Frenet curves in 3-dimensional Lorentzian Heisenberg space, that is a slant pseudo-helix.

Flood stage analysis considering the uncertainty of roughness coefficients and discharge for Cheongmicheon watershed (조도계수와 유량의 불확실성을 고려한 청미천 유역의 홍수위 해석)

  • Shin, Sat-Byeol;Park, Jihoon;Song, Jung-Hun;Kang, Moon Seong
    • Journal of Korea Water Resources Association
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    • v.50 no.10
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    • pp.661-671
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    • 2017
  • The objective of this study was to analyze the flood stage considering the uncertainty caused by the river roughness coefficients and discharge. The methodology of this study involved the GLUE (Generalized Likelihood Uncertainty Estimation) to quantify the uncertainty bounds applying three different storm events. The uncertainty range of the roughness was 0.025~0.040. In case of discharge, the uncertainty stemmed from parameters in stage-discharge rating curve, if h represents stage for discharge Q, which can be written as $Q=A(h-B)^C$. Parameters in rating curve (A, B and C) were estimated by non-linear regression model and assumed by t distribution. The range of parameters in rating curve was 5.138~18.442 for A, -0.524~0.104 for B and 2.427~2.924 for C. By sampling 10,000 parameter sets, Monte Carlo simulations were performed. The simulated stage value was represented by 95% confidence interval. In storm event 1~3, the average bound was 0.39 m, 0.83 m and 0.96 m, respectively. The peak bound was 0.52 m, 1.36 m and 1.75 m, respectively. The recurrence year of each storm event applying the frequency analysis was 1-year, 10-year and 25-year, respectively.

Automatic Surface Generation for Extrusion Die of Non-symmetric H-and U-shaped sections (비축대칭 H-형 및 U-형상의 압출금형 곡면의 자동생성)

  • 유동진;임종훈;양동열
    • Transactions of Materials Processing
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    • v.12 no.6
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    • pp.572-581
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    • 2003
  • In this paper, an automatic surface construction method based on B-spline surface and scalar field theory is proposed to generate the extrusion die surface of non-symmetric H-and U-shaped sections. The isothermal lines and stream lines designed in the scalar field are introduced to find the control points which are used in constructing B-spline surfaces. Intersected points between the isothermal lines and stream lines are used to construct B-spline surfaces. The inlet and outlet profiles are precisely described with B-spline curves by using the centripetal method for uniform parameterization. The extrusion die surface is generated by using the cubic curve interpolation in the u-and v-directions. A quantitative measure for the control of surface is suggested by introducing the tangential vectors at the inlet and outlet sections. To verify the validity of the proposed method, automatic surface generation is carried out for extrusion die of non-symmetric H-and U-shaped sections.

The Fabrication of $MgB_{2}$ superconducting tape and its transport critical current property under magnetic field (Mg $B_{2}$초전도 선재 제조 및 자장하에서의 임계전류특성)

  • J-W Ko;J.M. Yoo;Y.K. Kim;K-H Oh;S.J. Choi;H.S. Chung;H. Kumakura;K. Togano
    • Proceedings of the Korea Institute of Applied Superconductivity and Cryogenics Conference
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    • 2002.02a
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    • pp.3-4
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    • 2002
  • The stainless steel sheathed MgB$_2$ tapes with Cu addition were fabricated by PIT method without heat treatment. The $J_{c}$ value of 5,600 A/ $cm^{2}$and 16,000 A/$cm^{2}$ at 4.2 K and 5 T were obtained for the $MgB_{2}$ tape and 10 vol % of Cu added $MgB_{2}$ tape respectively. The $J_{c}$-B curve shows enhancement in J$_{c}$ under magnetic field, which suggests enhancement in flux pinning property with Cu addition.n.

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Experimental investigation of earth pressure on retaining wall and ground settlement subjected to tunneling in confined space

  • Jinyuan Wang;Wenjun Li;Rui Rui;Yuxin Zhai;Qing He
    • Geomechanics and Engineering
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    • v.32 no.2
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    • pp.179-191
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    • 2023
  • To study the influences of tunneling on the earth pressure and ground settlement when the tunnel passes through the adjacent underground retaining structure, 30 two-dimensional model tests were carried out taking into account the ratios of tunnel excavation depth (H) to lateral width (w), excavation width (B), and excavation distance using a custom-made test device and an analogical soil. Tunnel crossing adjacent existing retaining structure (TCE) and tunnel crossing adjacent newly-built retaining structure (TCN) were simulated and the earth pressure variations and ground settlement distribution during excavation were analyzed. For TCE condition, the earth pressure increments, maximum ground settlement and the curvature of the ground settlement curve are negatively related to H/B, but positively related to H/s and H/w. For TCN condition, most trends are consistent with TCE except that the earth pressure increments and the curvature of ground settlement curve are negatively related to H/w. The maximum ground settlement is larger than that observed in tunnel crossing the existing underground structure. This study provides an assessment basis for the design and construction under confined space conditions.

SOME SPECIAL CURVES IN THREE DIMENSIONAL f-KENMOTSU MANIFOLDS

  • Majhi, Pradip;Biswas, Abhijit
    • The Pure and Applied Mathematics
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    • v.27 no.2
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    • pp.83-96
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    • 2020
  • In this paper we study Biharmonic curves, Legendre curves and Magnetic curves in three dimensional f-Kenmotsu manifolds. We also study 1-type curves in a three dimensional f-Kenmotsu manifold by using the mean curvature vector field of the curve. As a consequence we obtain for a biharmonic helix in a three dimensional f-Kenmotsu manifold with the curvature κ and the torsion τ, κ2 + τ2 = -(f2 + f'). Also we prove that if a 1-type non-geodesic biharmonic curve γ is helix, then λ = -(f2 + f').