• 제목/요약/키워드: constant width

검색결과 626건 처리시간 0.027초

A CHARACTERIZATION OF THE HYPERBOLIC DISC AMONG CONSTANT WIDTH BODIES

  • Jeronimo-Castro, Jesus;Jimenez-Lopez, Francisco G.
    • 대한수학회보
    • /
    • 제54권6호
    • /
    • pp.2053-2063
    • /
    • 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.

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

  • 백경화;조영미
    • 한국학교수학회논문집
    • /
    • 제16권1호
    • /
    • pp.201-217
    • /
    • 2013
  • 본 연구는 '정폭도형'을 소재로 초등 수학영재 프로그램을 개발 적용 하는데 그 목적을 두었다. 이를 위해 정폭도형에 관한 이론을 정리하였다. 다음으로 초등학교 수학 영재 교육 프로그램을 구안하고 예비실험 결과를 토대로 프로그램을 수정 보완하여 최종적으로 프로그램을 구체화하였다. 이 프로그램은 작도와 GSP 프로그램을 접목한 수업 형태로도 개발 가능할 것으로 보이며, 특히 과학 기술 예술적인 면을 연결한 융합교육 프로그램으로 적용 발전시킬 수 있을 것으로 기대된다.

  • PDF

두폭, 체중 및 체장에 의한 뽕나무하늘소 유충의 성장율 비교 (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)

  • 윤형주;마영일
    • 한국잠사곤충학회지
    • /
    • 제39권2호
    • /
    • pp.174-179
    • /
    • 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.

  • PDF

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

  • 김광훈;문희종;임용식;이재형;장준성
    • 한국광학회지
    • /
    • 제6권4호
    • /
    • pp.345-351
    • /
    • 1995
  • 유한한 폭을 갖는 배경에서 기본 어두운 공간솔리톤의 진행특성을 실험적으로 연구하여 전산시늉한 결과와 비교하였다. 실험적으로 빔의 세기가 증가함에 따라 어두운 솔리톤의 폭이 감소하고 배경의 폭은 증가함을 확인하였고 무한한 폭의 배경을 가정한 솔리톤 상수로부터 구한 굴절율의 변화량은 Z-스캔 방법으로 구한 굴절율의 변화량보다 작았다. 유한한 폭을 갖는 배경에 놓인 기본 어두운 솔리톤의 진행을 전산시늉하여 진행거리에 따른 배경의 첨두세기, 어두운 솔리톤의 폭 그리고 솔리톤 상수의 변화를 연구하였다. 유한한 크기의 배경에서 솔리톤상수의 변화를 고려하여 구한 굴절율의 변화량은 Z-스캔 방법으로 구한 굴절율의 변화량과 일치하였다.

  • PDF

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

  • 이종배;육영진;신호용;김형순;임종인
    • 한국세라믹학회지
    • /
    • 제45권4호
    • /
    • pp.208-213
    • /
    • 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
    • 호남수학학술지
    • /
    • 제34권3호
    • /
    • pp.403-408
    • /
    • 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.

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

  • 박상진
    • Journal of the Korean Wood Science and Technology
    • /
    • 제9권3호
    • /
    • pp.1-6
    • /
    • 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.

  • PDF

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

  • 양민권;최우영
    • 전력전자학회논문지
    • /
    • 제20권3호
    • /
    • pp.280-289
    • /
    • 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.

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

  • 이동훈
    • Journal of Advanced Marine Engineering and Technology
    • /
    • 제19권2호
    • /
    • pp.81-91
    • /
    • 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 $0^{\circ}$.

  • PDF

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

  • 황락훈
    • 전자공학회논문지S
    • /
    • 제35S권8호
    • /
    • pp.120-129
    • /
    • 1998
  • 본 논문은 PWM(Pulse width Modulation)전압형 인버어터를 사용하여 전원차단 경우나 전압변동 및 부하변동에 의한 출력전류 변화에도 일정한 출력전압을 유지하는 무정전 전원장치에 대해 논하였다. 본 시스템은 전압형 인버어터를 교류전원과 동기시켜 운전하고 정상상태에서는 전원으로부터 운전하고 정상상태에서는 전원으로부터 직류측에 연결된 축전지를 태양전지를 이용한 광기전력효과와 함께 일정전압을 충전하며, 전원의 차단, 전원의 전압변동 및 부하전류의 변화에도 일정한 전압을 유지하도록 하였다. 출력은 PWM방식에 의하여 양호한 파형이 되도록 하고 전원차단과 부하의 상태의 변화 및 전원 전압 변동에도 일정한 전압으로 출력됨을 실험을 통하여 확인할 수 있었다.

  • PDF