• 제목/요약/키워드: Cubic-function

검색결과 292건 처리시간 0.024초

L형(型) 주물응고(鑄物凝固)에 대한 Computer Simulation (Computer Simulation of Solidification in L-Sections)

  • 한윤희;김명한;김동옥
    • 한국주조공학회지
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    • 제5권2호
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    • pp.125-136
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    • 1985
  • The most desirable method for the solution of solidification problems in castings must be the one which combines accuracy, simplicity, and low computer usage cost. The purpose of the present study is to develop a method which includes all these advantages. The purpose of the present research was approached by the introduction of two methods: (1) A pour-out test, employed with very high purity aluminum, for the purpose of obtaining accurate solidification data in L-sections; and (2) an numerical technique, using the cubic spline function for defining solidification curves.

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GSI소자 개발을 위한 극 저 에너지 이온 주입에 대한 분자 역학 시뮬레이션 (Molecular dynamics simulation of ultra-low energy ion implantation for GSI device technology development)

  • 강정원;손명식;황호정
    • 전자공학회논문지D
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    • 제35D권3호
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    • pp.18-27
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    • 1998
  • Molecular dynamicsinvestigations of ion implantation considering point defect generation were performed with ion energies in the range of ~1keV, Simulation starts perfect diamond cubic lattice site. Stillinger-Weber potential and ZBL potential were used to calculate forces between atoms. We have simulated slowing-down of ion velocity, ion trajectory and coupled-coing between ion and silicon. We also discussed distribution of point defect using rdial distribution function. We found that interstitial produced by ion bombardment mainly formed interstitial cluster.

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어린이박물관의 전시설계를 위한 관람특성 연구 - 삼성어린이박물관을 중심으로 - (A Study on the Characteristics for the Inspectors for the Exhibition of the Children's Museum)

  • 권정란;윤재은
    • 한국실내디자인학회:학술대회논문집
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    • 한국실내디자인학회 2002년도 춘계학술발표대회 논문집
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    • pp.77-81
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    • 2002
  • Today, local museums as well as international museums are varied with scale, foundation purpose and function. Children's museum is particularly designed for special viewers. Therefore, the expression design factors such as plane, cubic side, illuminator, line of flow, color, material and the characteristics of viewers should be considered in planning. A couple of sample museums are selected for this study in order to study the characteristics of viewers. I hope the result of this study will be the basic information for the display design of children's museum.

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EXPLICIT EVALUATION OF HARMONIC SUMS

  • Xu, Ce
    • 대한수학회논문집
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    • 제33권1호
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    • pp.13-36
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    • 2018
  • In this paper, we obtain some formulae for harmonic sums, alternating harmonic sums and Stirling number sums by using the method of integral representations of series. As applications of these formulae, we give explicit formula of several quadratic and cubic Euler sums through zeta values and linear sums. Furthermore, some relationships between harmonic numbers and Stirling numbers of the first kind are established.

RAMANUJAN CONTINUED FRACTIONS OF ORDER EIGHTEEN

  • Yoon Kyung Park
    • 대한수학회지
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    • 제60권2호
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    • pp.395-406
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    • 2023
  • As an analogy of the Rogers-Ramanujan continued fraction, we define a Ramanujan continued fraction of order eighteen. There are essentially three Ramanujan continued fractions of order eighteen, and we study them using the theory of modular functions. First, we prove that they are modular functions and find the relations with the Ramanujan cubic continued fraction C(𝜏). We can then obtain that their values are algebraic numbers. Finally, we evaluate them at some imaginary quadratic quantities.

굴절률 분포에 따른 박막 실리콘 태양전지 반사방지막 설계기술 연구 (The Study on the Antireflection(AR) Coating Design Scheme According to the Index Profile in the Thin-Film Silicon Solar Cell)

  • 김창봉
    • 한국산학기술학회논문지
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    • 제13권9호
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    • pp.4139-4145
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    • 2012
  • 본 논문에서는 향후 태양전지 반사방지막에 적용여부를 알기 위하여 굴절률 분포에 따른 반사방지막의 성능을 분석하였다. 기존논문에서 제시되었던 1차, 3차 및 5차 함수의 굴절률 분포를 6층 구조의 두께 180 nm 반사방지막에 적용하고 각 굴절률 분포에 대한 반사율을 계산하고 비교하였다. 또한 새로운 구배형 굴절률(graded index) 구조를 제안하였고, 제안한 구조와 기존의 1차, 3차 및 5차 함수의 반사율과 비교하였다. 그 결과로써, 굴절률 분포가 고차 함수로 갈수록 반사율이 대체적으로 감소하였고, 구배형 굴절률 분포의 경우는 짧은 파장대(500 nm ~ 700 nm 이하)에서는 1차, 3차 및 5차 함수보다 더 높은 반사율을 보였고, 긴 파장대(700 nm 이상 ~ 800 nm)에서는 더 낮은 반사율을 보였다. 따라서 긴 파장대에서는 구배형 굴절률 분포가 기존의 1차, 3차, 5차 함수인 경우보다 더 좋은 반사방지막이 될 수 있다는 것을 발견했고, 이 결과는 긴 적색 가시광선에서 적외선 영역에 적용되는 광소자 및 광필터에 적용 가능하리라 판단된다.

변량계수모형의 식이요법 실험자료에 관한 사례연구 (A case study on the random coefficient model for diet experimental data)

  • 조진남;백재욱
    • Journal of the Korean Data and Information Science Society
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    • 제20권5호
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    • pp.787-796
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    • 2009
  • 이 논문에서는 반복측정치에 대한 분석모형 중, 혼합모형의 일종인 변량계수모형에 대하여 이론적으로 고찰한다. 특히 혼합모형의 설정, 모수 추정에 대하여 통계적으로 고찰하고 변량계수모형에 대한 가능한 모형을 열거하며, 그에 따르는 추정과 검정을 논의한다. 사례연구로 식이요법자료를 대상으로 가능한 변량계수모형을 적용하여 추정 및 검정을 실시한 결과, 고정인자인 사전값, 처리, 키 및 시간들의 인자는 체중감소에 대단히 유의함을 보여주었지만, 나이와 혈압은 유의하지 않았다. 처리효과에 있어서는 식이요법과 운동을 병행했을 때의 처리가 식이요법만 실시했을 때의 처리보다 체중이 더 감소했음을 알 수 있으며, 시간에 따른 체중감소의 효과는 삼차함수의 관계가 성립된다. 변량인자로는 개체효과는 유의하며 개체별 시간에 대한 교호작용의 효과는 차수가 높아질수록 급속도로 감소하여 3차 함수 관계가 적절한 모형으로 최종 선택되었다.

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이상체형의 의복원형의 인간공학적연구 - 척추만곡체형을 중심으로 - (A Human Enginnering Study on an Original Pattern of Clothing for an Abnormal Type of Figure - with special reference to the of kyphosis -)

  • 박정순
    • 대한가정학회지
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    • 제20권3호
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    • pp.9-18
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    • 1982
  • In this study, we attempted to make an original pattern of clothing for an abnormal type of figure, especially for the type of kyphosis. We measured the curvature of the spine of a woman with kyphosis with a Martin measuring instrument and a silhouetter in the following ways. First, we counted the rate of shrinkage of the standard lines drawn on the surface of the body according as the body moved. Secondly, placing the front and back darts, the front and back shoulder darts and the side darts according to“Munhwa”pattern, we made cubic cuttings of four moving postures as well as the standing one. Thirdly, we superposed the developed patterns of the standing and the moving postures, measuring the position change and the amount of the chaange of the darts, and compared them. The results are as follows: 1) In the developed pattern of a cubic cutting of the basic pattern and the standing posture, the neckhole became larger than that of the basic pattern, and the waist line was lowered than that of the basic pattern because the center back line was shortened due to the curved backbone. 2) As for the change of the standard line according to the movement, we found that the waist line, the center front line, the center back line, the bust width line, the upper back width line and the back width line became longer. Special consideration must be given to the function of the clothing for an abnormal type of figure. 3) The difference of the measurements between the cubic cutting and the body measurement regardless of the body movement is due to a gap by an acute angle at the jutted place between the developed pattern and the body surface. We found that the body measurement of the upper back width line, the back width line and the bust line became larger. Consequently, in making an original clothing pattern, it is desirable that we must not place the front and the back waist darts at the jutted place on the back from the functional and the aesthetic viewpoint of clothing. It is also desirable that we must widen the neckhole because the shoulder angle is close to a straight line due to a jut of the upper back width line.

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Mixing Rules of Young's Modulus, Thermal Expansion Coefficient and Thermal Conductivity of Solid Material with Particulate Inclusion

  • Hirata, Yoshihiro;Shimonosono, Taro
    • 한국세라믹학회지
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    • 제53권1호
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    • pp.43-49
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    • 2016
  • This analyzed a Young's modulus (E), a thermal expansion coefficient (TEC, ${\beta}$) and a thermal conductivity (${\kappa}$) of the material with simple cubic particulate inclusion using two model structures: a parallel structure and a series structure of laminated layers. The derived ${\beta}$ equations were applied to calculate the ${\beta}$ value of the W-MgO system. The accuracy was higher for the series model structure than for the parallel model structure. Young's moduli ($E_c$) of sintered porous alumina compacts were theoretically related to the development of neck growth of grain boundary between sintered two particles and expressed as a function of porosity. The series structure model with cubic pores explained well the increased tendency of $E_c$ with neck growth rather than the parallel structure model. The thermal conductivity of the three phase system of alumina-mullite-pore was calculated by a theoretical equation developed in this research group, and compared with the experimental results. The pores in the sintered composite were treated as one phase. The measured thermal conductivity of the composite with 0.5-25% porosity (open and closed pores) was in accordance with the theoretical prediction based on the parallel structure model.

2차모멘트 난류모형을 이용한 정사각 단면 곡덕트 내 발달하는 난류유동 변화에 대한 고찰 (Investigation on the Developing Turbulent Flow In a Curved Duct of Square Cross-Section Using a Low Reynolds Number Second Moment Turbulence Closure)

  • 전건호;최영돈;신종근
    • 대한기계학회논문집B
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    • 제23권8호
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    • pp.1063-1071
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    • 1999
  • Fine grid calculations are reported for the developing turbulent flow in a curved duct of square cross-section with a radius of curvature to hydraulic diameter ratio ${\delta}=Rc/D_H=3.357 $ and a bend angle of 720 deg. A sequence of modeling refinements is introduced; the replacement of wall function by a fine mesh across the sublayer and a low Reynolds number algebraic second moment closure up to the near wall sublayer in which the non-linear return to isotropy model and the cubic-quasi-isotropy model for the pressure strain are adopted; and the introduction of a multiple source model for the exact dissipation rate equation. Each refinement is shown to lead to an appreciable improvement in the agreement between measurement and computation.