• 제목/요약/키워드: Torsion group

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INTEGER POINTS ON THE ELLIPTIC CURVES INDUCED BY DIOPHANTINE TRIPLES

  • Park, Jinseo
    • 대한수학회논문집
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    • 제35권3호
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    • pp.745-757
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    • 2020
  • A set {a1, a2, …, am} of positive integers is called a Diophantine m-tuple if aiaj + 1 is a perfect square for all 1 ≤ i < j ≤ m. In this paper, we find the structure of a torsion group of elliptic curves Ek constructed by a Diophantine triple {F2k, F2k+2, 4F2k+1F2k+2F2k+3}, and find all integer points on the elliptic curve under assumption that rank(Ek(ℚ)) = 2.

Design of Torsion-typed Smooth Picture Actuator for DLP Projection TV

  • Moon, Yang-Ho
    • 한국정보디스플레이학회:학술대회논문집
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    • 한국정보디스플레이학회 2006년도 6th International Meeting on Information Display
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    • pp.564-568
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    • 2006
  • Smooth picture module is operated by vibration to tilt the light from the DMD (digital micro mirror device) of DLP projection TV, which makes the screen of the TV smoother and DMD chip cost lower. To satisfy the vibration characteristics of smooth picture module, it is designed by optimizing moment of inertia, spring constant and damping coefficient, using structural and fluid dynamic simulation that showed a good agreement with experimental data. To reduce the material cost and moment of inertia, engineering plastic is used and the reliability is estimated. A VCM (voice coil motor) type actuator for smooth picture has to satisfy performance requirements such as higher driving force, lower power consumption, and lower cost. The initial design and optimization for VCM was performed using FE analysis. It allowed us to optimize the design of magnetic circuit of the proposed actuator to obtain higher force while maintaining a lower cost.

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The Diophantine Equation ax6 + by3 + cz2 = 0 in Gaussian Integers

  • IZADI, FARZALI;KHOSHNAM, FOAD
    • Kyungpook Mathematical Journal
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    • 제55권3호
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    • pp.587-595
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    • 2015
  • In this article, we will examine the Diophantine equation $ax^6+by^3+cz^2=0$, for arbitrary rational integers a, b, and c in Gaussian integers and find all the solutions of this equation for many different values of a, b, and c. Moreover, two equations of the type $x^6{\pm}iy^3+z^2=0$, and $x^6+y^3{\pm}wz^2=0$ are also discussed, where i is the imaginary unit and w is a third root of unity.

Benzenesulfonyl 유도체들의 구조와 Staphylococcus aureus에 대한 항균력 (Conformation and Antibacterial Activity on Staphylococcus aureus of Some Benzenesulfonyl Analogues)

  • 김보수;이성희;정우태;강영기
    • 약학회지
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    • 제33권6호
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    • pp.350-360
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    • 1989
  • The conformation and activity of the four benzenesulfonyl analogues of 4-aminobenzene-sulfonamide, 4-aminobenzenesulfonic acid, 4-methylbenzenesulfonamide, and 4-methylbenzenesulfonic acid with antibacterial activity on Staphylococcus aureus were studied using an empirical potential function (ECEPP/2) and the hydration shell model. The conformational energies were minimized from the starting conformations which included possible combinations of torsion angles in each molecule. To understand the hydration effect on the conformation of the molecule in aqueous solution, the hydration free energy of each group was calculated and compared each other. The conformational entropies of low-free-energy coformation of benzenesulfonly analogues were computed by a harmonic approximation. From the correlation of lowest-free-energy conformation of each compound and its antibacterial activity, it was found that the hydration of sulfonyl groups and the substituents are the decisive factors to show antibacterial activities.

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The effect of constitutive spins on finite inelastic strain simulations

  • Cho, Han Wook;Dafalias, Yannis F.
    • Structural Engineering and Mechanics
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    • 제5권6호
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    • pp.755-765
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    • 1997
  • Within the framework of anisotropic combined viscoplastic hardening formulation, accounting macroscopically for residual stress as well as texture development at finite deformations of metals, simple shear analyses for the simulation of fixed-end torsion experiments for ${\alpha}$-Fe, Al and Cu at different strain rates are reviewed with an emphasis on the role of constitutive spins. Complicated responses of the axial stresses with monotonically increasing shear deformations can be successfully described by the capacity of orthotropic hardening part, featuring tensile axial stresses either smooth or oscillatory. Temperature effect on the responses of axial stresses for Cu is investigated in relation to the distortion and orientation of yield surface. The flexibility of this combined hardening model in the simulation of finite inelastic strains is discussed with reference to the variations of constitutive spins depending upon strain rates and temperatures.

DIOPHANTINE TRIPLE WITH FIBONACCI NUMBERS AND ELLIPTIC CURVE

  • Park, Jinseo
    • 대한수학회논문집
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    • 제36권3호
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    • pp.401-411
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    • 2021
  • A Diophantine m-tuple is a set {a1, a2, …, am} of positive integers such that aiaj+1 is a perfect square for all 1 ≤ i < j ≤ m. Let Ek be the elliptic curve induced by Diophantine triple {F2k, 5F2k+2, 3F2k + 7F2k+2}. In this paper, we find the structure of a torsion group of Ek, and find all integer points on Ek under assumption that rank(Ek(ℚ)) = 1 and some further conditions.

편측성 운동이 축구선수의 척추 변형과 체중 지지에 미치는 영향 (Effect of asymmetric exercise to soccer player's spinal deformity and weight bearing)

  • 엄요한;박승규;양대중
    • 대한임상전기생리학회지
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    • 제10권1호
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    • pp.45-52
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    • 2012
  • Purpose : This study is carried out to investigate the effect of asymmetric exercises on soccer players' vertebral abnormality and weight bearing. Methods : A total of 40 soccer players were divided into either a group of 20 players who use a unilateral foot or a group of 20 players who use both feet. 3-dimensional spine structure analyzer was used to analyze body inclination, pelvic inclination, pelvic torsion, turning of spinal segment, spinal curvature, thoracic kyphosis curvature, lumbar lordosis curvature, left/right weight distribution, and front/back weight distribution. Results : The result of the two groups showed that there were significant differences (p<0.05) for every item except turning of spinal segment and lumbar lordosis curvature. Conclusion : From this result, we can find that spinal and pelvic deformity and body weight are unilaterally supported for soccer players with asymmetric exercises.

고려인삼이 흰쥐의 장기 무게에 미치는 영향 (Influence of gineng on the weight of vicera in rats)

  • 문영빈;박원호
    • The Korean Journal of Physiology
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    • 제4권2호
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    • pp.33-36
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    • 1970
  • A study was planned to see if the ginseng has any influence upon the weight of viscera of male and female rats. One hundred and ten male rats (body weight: $35{\sim}40\;gm$ at the beginning of the experiment) and an equal number of females with similar body weight were use4 Excluding 10 male and 10 females which served as controls, these rats were divided equally into 4 groups (male ginseng group, male saline group, female ginseng group and female saline group), each of which comprising 50 animals. For 45 days, the male and female ginseng groups received every day 0.6 m1/100 gm body weight of ginseng extract solution (4 mg of ginseng alcohol extract in 1 ml of saline) subcutaneously, and the male and female saline groups received the same amount of physiological saline. Each group was further divided into 5 subgroups comprising 10 animals, and the 10 control rats and each subgroups were sacrificed immediately before, and 5, 15, 35, 35, and 45 days after beginning of the drug administration, respectively. The body weight of each subgroup was checked immediately before sacrificing it, and the heart, lung, liver, kidney, adrenal gland, spleen, and testis or uterus of each animal were weighed with a torsion balance. Following results were obtained: 1. Ginseng significantly facilitated gain in weight of testis and spleen as well as body weight of rats from 35th day after beginning of the drug administration on, but not before this time. 2. Ginseng did not exert significant influence upon the weight of heart, lung, liver, tidney, adrenal gland, and uterus of the rat.

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Nickel-Titanium file과 Stainless steel file을 이용한 근관형성시 컴퓨터 단층촬영사진상의 근관형태 변화에 관한 연구 (A STUDY ON THE ROOT CANAL MORPHOLOGY CHANGE BY NICKEL-TITANIUM AND STAINLESS STEEL FILE INSTRUMENTATION USING COMPUTERIZED TOMOGRAPHY)

  • 소문섭;임미경;이건일;이용근;이수종
    • Restorative Dentistry and Endodontics
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    • 제22권2호
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    • pp.659-669
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    • 1997
  • The goals of root canal instrumentation are complete debridement of pulp tissue, removal of microbes and affected dentin, and proper cleaning and shaping of the root canal space before obturation. Instrumentation with stainless steel files has been shown to produce undesirable results in canals, regardless of the improved technique or modified file type used. Nickel-Titanium(Ni-Ti) alloy has been shown to be exceptionally elastic, having a lower bending moment and lower permanent set after torsion, compared with similar gauge stainless steel. The purpose of this study was to evaluate the change of root canal prepared by Ni-Ti rotary and stainless steel instruments. Thirty-four single rooted teeth of similar shape and canal size were divided into three groups. The teeth were scanned by computed tomography before instrumentation. In group 1, canals were instrumented using a step-back technique with K-file. In group 2, canals were prepared with K-flex file using the same technique as group 1. Group 3 was prepared with nickel-titanium(Ni-Ti) rotary instrument using a manufacture's instruction. Instrumented teeth were again scanned using computed tomography, and reformated images of the uninstrumented canals were compared with images of the instrumented canals. K-flex file and Ni-Ti file caused significantly less canal transportation than K-file in the 8mm root canal section from the apex(p<0.05). K-flex file and Ni-Ti file produced more centered canal preparation than K-file in the 2mm section(p<0.05). Ni-Ti file maintained more precisely the center of the canal than K-flex file in the 10mm section (p<0.05). There was no difference in the removed volume of canals among each groups.

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인터스키 부정지 숏턴 동작의 운동학적 분석 (Kinematic Analysis on the Mogul Short Turn Motion in Interski)

  • 주현식;박종훈;이계산;김원경;박종철;백진호
    • 한국운동역학회지
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    • 제18권4호
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    • pp.67-76
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    • 2008
  • 본 연구는 인터스키 부정지 숏턴 동작에서 우수 집단과 비우수 집단 간 운동학적 변인의 차이를 3차원 영상 분석을 통해 보다 효과적인 부정지 숏턴 동작을 모색하고자 하였다. 연구 대상은 2007년 전국스키기술선수권대회 부정지 숏턴 경기에 참가한 선수 10명을 대상으로 DLT 방법을 이용한 3차원 영상분석을 통해 운동학적 변인을 분석하였으며, 그 결과 다음과 같은 결론을 얻었다. 총 소요시간 및 국면별 소요시간은 우수 집단이 비우수 집단보다 짧게 나타났다. 신체중심은 우수 집단이 비우수 집단보다 작은 좌우이동 폭과 큰 상하이동 폭을 나타내며, 직진성을 강화하는 활주를 하였으며, 그로 인하여 좌우속도를 제어하면서 빠른 전후속도를 나타냈다. 상하속도는 드롭 인 구간에서는 느리게 하면서 범프 업 구간에서 속도를 증가시킨 것으로 나타났다. 고관절각과 슬관절각은 우수 집단이 비우수집단보다 전체 이벤트에서 모두 작게 나타났으며, 동체 전경갈 신체 기울기각은 우수 집단이 비우수 집단보다 모두 크게 나타났다. 하퇴 전경각은 우수 집단이 비우수 집단보다 모글 중앙에서 크게 나타났으며, 동체 비틀기각은 우수 집단이 비우수 집단보다 드롭 인 구간에서 오른쪽 턴 방향으로, 범프 업 구간에서 왼쪽 턴 방향으로 크게 나타났다.