• Title/Summary/Keyword: constant width

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A CHARACTERIZATION OF THE HYPERBOLIC DISC AMONG CONSTANT WIDTH BODIES

  • Jeronimo-Castro, Jesus;Jimenez-Lopez, Francisco G.
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.6
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    • pp.2053-2063
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    • 2017
  • In this paper we prove a condition under which a hyperbolic starshaped set has a center of hyperbolic symmetry. We also give the definition of isometric diameters for a hyperbolic convex set, which behave similar to affine diameters for Euclidean convex sets. Using this concept, we give a definition of constant hyperbolic width and we prove that the only hyperbolic sets with constant hyperbolic width and with a hyperbolic center of symmetry are hyperbolic discs.

The Program Development with Curve of Constant Width for the Math-Gifted in Elementary school (정폭도형을 활용한 초등수학영재 프로그램 개발 및 적용 결과 분석 연구)

  • Baek, Kyung Hwa;Cho, Youngmi
    • Journal of the Korean School Mathematics Society
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    • v.16 no.1
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    • pp.201-217
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    • 2013
  • This study intends to develop and apply elementary mathematics program for gifted students based on a 'constant width shape' in order to keep pace with the STEAM education which is becoming the main issue and therefore, it set up research subject as follows; To introduce constant width shapes through 'a circle' which is a constant width shape under present education process and based on this, to search a theory about constant width shapes and reuleaux triangles. To arrange an elementary mathematics program for gifted students according to the part 3 enrichment study model of Renzulli. To revise supplement the program on the basis of field application result twice and then to materialize the program. It is expected that the developed program and study data will suggest mathematical ideas and direction of materials development in education sites of elementary mathematics program for gifted students.

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The Estimate of Larval Growth of Mulberry Longicorn Beetle, Apriona germari Hope on the basis of the Larval Head Capsule Width, Larval Weight and Length (두폭, 체중 및 체장에 의한 뽕나무하늘소 유충의 성장율 비교)

  • 윤형주;마영일
    • Journal of Sericultural and Entomological Science
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    • v.39 no.2
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    • pp.174-179
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    • 1997
  • The larval head capsule width, larval weight and length of mulberry longicorn beetle, Apriona germari Hope were measured when the larvae were exuviated in artificial diet rearing. The larval head capsule width from the 1st to the 12th instar was ranged from 0.12 to 0.69 cm, and growth ratio of each instar was significantly high between the 1st and the 2nd instars. The fitness to Dyar's law for the larval head capsule width was 87.6%. When the logarithum of the larval head capsule width is plotted against the number of instars, the calculated regression line was LogY=0.12086+0.06998X and Dyar's constant was 1.18. The larval weight was increased with larval developmental stages, and the coefficient of variation of larval weight was apparently high. But the calculated regression line was LogY=-0.91592+0.25959X and Dyar's constant was 1.25. The growth ration of the larval length was clearly high between the 2nd and the 3rd instars, and that of larvae from the 4th instar was decreased. The calculated regression line was LogY=-0.16932+0.09841X and Dyar's constant was 1.25. In conclusion, our results suggested that the larvae growth of mulberry longicorn beetle appeared to be highly related in the larval head capsule width, larval weight and length.

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Propagation Characteristics of Fundamental Dark spatial Solitons on Finite-width Backgrounds (유한한 폭을 갖는 배경에서 기본 어두운 공간 솔리톤의 진행특성)

  • 김광훈;문희종;임용식;이재형;장준성
    • Korean Journal of Optics and Photonics
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    • v.6 no.4
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    • pp.345-351
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    • 1995
  • We have studied experimentally the propagation characteristics of fundamental dark spatial solitons on finite-width backgrounds and conpared with the result of numerical simulations. It was verified experimentally that the width of dark solitons decreased but that of background increased as the beam intensity increased. The refractive index change obtained from soliton constant, which is for infinite-width background, was smaller than that from Z-scan method. Numerical simulations of fundamental dark solitons on a finite-width backgrounds showed that the peak intensity of background, the width of dark soliton and the soliton constant varied with the propagation length. If the change of soliton constant on finite-width backgrounds was considered, the refractive index change was in good agreement with that from Z-scan method. ethod.

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Development of Helical Antenna using Microwave ZST Ceramics (마이크로파 ZST 세라믹을 이용한 Helical Antenna 개발)

  • Lee, Jong-Bae;Yook, Young-Jin;Sin, Ho-Yong;Kim, Hyung-Sun;Im, Jong-In
    • Journal of the Korean Ceramic Society
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    • v.45 no.4
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    • pp.208-213
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    • 2008
  • In this study, helical antenna with microwave ZST ceramics was designed using finite element method and developed. Studied parameters are relative dielectric constant of the dielectric core and the width of the conduction metal band of the antenna. As shown in the results, the center frequency of the antenna was decreased as the dielectric constant increased. Also beam width of the antenna increased as both the dielectric constant and the conduction band width increased. Based on the designed optimal shape, the manufactured antenna has the good beam width at center frequency 1.58 GHz.

A NEW LOWER BOUND FOR THE VOLUME PRODUCT OF A CONVEX BODY WITH CONSTANT WIDTH AND POLAR DUAL OF ITS p-CENTROID BODY

  • Chai, Y.D.;Lee, Young-Soo
    • Honam Mathematical Journal
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    • v.34 no.3
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    • pp.403-408
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    • 2012
  • In this paper, we prove that if K is a convex body in $E^n$ and $E_i$ and $E_o$ are inscribed ellipsoid and circumscribed ellipsoid of K respectively with ${\alpha}E_i=E_o$, then $\[({\alpha})^{\frac{n}{p}+1}\]^n{\omega}^2_n{\geq}V(K)V({\Gamma}^{\ast}_pK){\geq}\[(\frac{1}{\alpha})^{\frac{n}{p}+1}\]^n{\omega}^2_n$. Lutwak and Zhang[6] proved that if K is a convex body, ${\omega}^2_n=V(K)V({\Gamma}_pK)$ if and only if K is an ellipsoid. Our inequality provides very elementary proof for their result and this in turn gives a lower bound of the volume product for the sets of constant width.

Radial Variations of Elements in the Ring-porous Wood (환공재(環孔材) 주요구성요소(主要構成要素)의 방사방향변동(放射方向變動))

  • Park, Sang-Jin
    • Journal of the Korean Wood Science and Technology
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    • v.9 no.3
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    • pp.1-6
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    • 1981
  • This study examined the radial variations in element demensions of mongolian oak (Quercus mongolica.), elm (Ulmus japonica.), maackia(Maackia amurensis.), castor aralia (Kalopanax pictus.) from pith outwards. Disks were cut from the d.b.h.(above 1.2m) of each species and specimen for tangential pore diameters, fiber length, ray height and width were taken from 1-3rd, 5th, 10th, 15th.............40th ring number from pith. The tangential pore diameters in the earlywood increased rapidly near the pith and then maintained almost constant or very gradually increased diameters in about 20th-30th ring number from pith. In the latewood, tangential pore diameters gradually increased from pith to outwards though the increment is smaller than in early wood. Radial variations of ray height and width maintained almost constant, gradually increased or rapidly increased diameters and then maintained almost constant from pith to outwards. Patterns of radial variations in the fiber length were almost coincident with patterns of earlywood pore diameters, and of ray height or width in Ulmus japonica and Maackia amurensis.

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High-Efficiency Full-Bridge DC-DC Converter with Current-Doubler Rectifier with Asymmetric Pulse-Width Modulation (비대칭 펄스 폭 변조 방식의 배전류 정류기 회로를 적용한 고효율 풀-브릿지 DC-DC 컨버터)

  • Yang, Min-Kwon;Choi, Woo-Young
    • The Transactions of the Korean Institute of Power Electronics
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    • v.20 no.3
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    • pp.280-289
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    • 2015
  • A high-efficiency full-bridge DC-DC converter with a current-doubler rectifier and an asymmetric pulse-width modulation is proposed. Through the asymmetric pulse-width modulation, the proposed converter achieves zero-voltage switching of power switches without the circulating currents. The proposed converter reduces the output current ripple through the current-doubler rectifier. A control strategy is suggested for the proposed converter to charge battery banks. A constant current and constant voltage charging is performed. The proposed converter achieved a higher efficiency compared with the conventional full-bridge DC-DC converter with a phase-shift modulation. The performance of the proposed converter is evaluated by the experimental results for a 1.0 kW prototype circuit.

A Study on Development of Miniature Size Surface Charge Electrostatic Induction Motor (소형표면전하유도형 정전모터의 개발을 위한 연구)

  • 이동훈
    • Journal of Advanced Marine Engineering and Technology
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    • v.19 no.2
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    • pp.81-91
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    • 1995
  • A miniature size electrostatic induction motor has been fabricated and studied with emphasis on the role of the surface resistivity, the relative dielectric constant of the rotor surface materials and the rotor liner materials, which control the charge induction and relaxation on the rotor surface and the field intensity between the rotor and the stator. It is found that the higher resitivity and/or the higher relative dielectric constant, concurrently the longer relaxation time constant of the rotor surface materials make the motor speed get higher speed. In case of discrete coated rotor surface it is found that the motor speed was increased logarithmically as narrow as width of the discrete coated Ti. And the degree of width of discrete coated Ti to the axial direction of the rotor was $60^{\circ}$ and $150^{\circ}$, the motor has got a 125% higher than that at the degree of $0^{\circ}$.

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A Study on Synchronized AC Power Source Voltage Regulator of Voltage Fed Inverter using a Photovoltatic effect (PV효과를 이용한 전압형 인버어터 전원동기 전압 조정기에 관한 연구)

  • Hwang, Lak-Hoon
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.8
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    • pp.120-129
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    • 1998
  • In this paper represented uninterruptible power sypply(UPS) equipment maintaining constant output voltage, using a pulse width modulation(PWM) voltage fed inverter, as power source disconnection, voltage variation and output current variation with load variation. This system is driven by being synchronized voltage fed inverter and AC source, and in the steady state of power source charge battery connected to DC side with solar cell using a Photovoltaic (PV) that it was so called constant voltage charge. In addition, better output waveform was generated because of PWM(pulse width Modulation) method, and it was Proved to test by experiment maintained constant output voltage regardless of AC source disconnection, load variation, and voltage variation of AC power source.

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