• 제목/요약/키워드: circular function

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라디안에 대한 교수학적 분석 (A Didactical Analysis on Radian)

  • 남진영;임재훈
    • 대한수학교육학회지:수학교육학연구
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    • 제18권2호
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    • pp.263-281
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    • 2008
  • 라디안에 관한 기존의 교육적 논의는 대부분 학생들의 라디안 이해 실태 조사에 한정되고, 학습 지도에 관한 논의는 본격적으로 이루어지지 않았다. 라디안의 효과적인 지도에 관한 연구를 비롯한 라디안에 관한 교육적 논의는 라디안의 본질에 대한 이해에 기초해야 한다. 이에 이 연구에서는 라디안에 대한 이론적 분석을 통해 이후 라디안의 교수 학습 실제에 관한 연구의 기초를 놓는다. 라디안은 각의 크기와 동질량의 비라는 두 측면을 복합적으로 지니고 있는 개념이다. 라디안의 개념지도는 라디안이 가진 이 양면적 특성과 관련하여 라디안의 좋은 점과 유용성을 학생들이 인식하게 하는 방향으로 이루어져야 한다.

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홀로그램 광 저대역 필터의 MTF 특성 개선을 위한 다중 위상 설계 (Design of Multi-phase Holographic Optical Low-pass Filter for the Improvement of the MTF Characteristics)

  • 오용호;고춘수
    • 한국광학회지
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    • 제16권4호
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    • pp.334-339
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    • 2005
  • 디지털 영상 장치에서 홀로그램 광 저대역 필터를 사용할 때 해상도 저하 문제를 개선하기 위해 다중 위상 홀로그램을 설계하였다. 자체 제작한 몬테-카를로 방식의 홀로그램 설계 프로그램을 이용하여 회절광 세기 분포가 원형에 가깝도록 홀로그램을 설계하였고 그 회절 효율과 MTF를 구하였다. 설계 결과 홀로그램의 한 주기를 구성하는 셀의 개수는 MTF 특성에 별로 영향을 미치지 못한 반면에 홀로그램의 위상 수는 큰 영향을 미침을 확인하였다. 4 위상 홀로그램은 2 위상 홀로그램과 회절 효율이 같고 MTF 또한 2 위상에서와 같이 저주파수 영역에서 직선 형태가 되어 필터로서의 특성이 변하지 않았다. 그러나 8 위상 홀로그램의 경우에는 회절 효율도 2 위상에 비해 크게 개선되었고 저주파수 영역에서의 MTF 값도 증가하여 필터의 성능이 크게 향상되었다. 16 위상인 경우에는 회절 효율도 더 증가하고 MTF 그래프도 더 위로 볼록한 모양이 되었으나 그 증가 폭은 크게 감소하였다. 설계된 8 위상 홀로그램을 제작하고 MTF를 측정하여 2 위상보다 MTF 특성이 향상됨을 실험적으로 확인하였다.

Pseudomonas putida로 부터 분리한 cryptic플라스미드의 제한효소지도 (Restriction map of a cryptic plasmid from Pseudomonas putida)

  • 김훈규;고상균;이영록
    • 미생물학회지
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    • 제24권1호
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    • pp.7-11
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    • 1986
  • Pseudomonas의 분해계 플라스미드와 이들에 유용한 벡터를 개발하기 위해서 본 연구실에서 분리, 보존하고 있는 Pseudomonas 중에서 P.putita KU 190으로부터 하나의 플라스미드를 분리하여 그 특성을 해석코저 하였다. size marker로 RP4와 pSy343를 사용하여 플라스미드의 크기를 결정한 바 41Kb로 나타났으며, 이 플라스미드를 pKU 41라 명명하였다. 제한효소 Bglll, BamHl, Eco Rl, HindIII, Sall등으로 이 플라스미드를 소화하여 이들의 제한효소 pattern을 조사한 결과, Bg III가 1. BamHl 3, Hin dIll는 3, EcoRI은 6 그리고 SalI은 13개 이상의 절단부위를 가지고 있었다. 이 제한효소의 절단부위, 토막들의 크기로부터 BamHI, HindIII에 대한 지도를 작성하였다. 플라스미드의 생울학적 기능을 조사하기 위하여 탄화수소 자화능에 대한 큐어링 실험을 하였으나 이로부터 뚜렷한 관련성 여부를 관찰할 수 없었다.

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Structural Studies on the E. coli Methionyl-tRNA Synthetase and Their Interaction with E. coli $tRNA^{fMet}$

  • Kim Ji-Hun;Ahn Hee-Chul;Park Sung-Jin;Kim Sung-Hoon;Lee Bong-Jin
    • 한국자기공명학회논문지
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    • 제9권2호
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    • pp.110-121
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    • 2005
  • E.coli methionyl tRNA synthetase consist of 676 amino acids and plays a key role in initiation of protein synthesis. The native form of this enzyme is a homodimer, but the monomeric enzyme truncated approximately C-terminal 120 amino acids retains the full enzymatic activities. X-ray crystal structure of the active monomeric enzyme shows that it has two domains. The N-terminal domain is thought to be a binding site for acceptor stem of tRNA, ATP, and methionine. The C-terminal domain is mainly a-helical and makes an interaction with the anticodon of $tRNA^{Met}$. Especially it is suggested that the region of helix-loop-helix including the tryptophan residue at the position 461 may be the essential for the interaction with anticodon of $tRNA^{Met}$. In this work the structure and function of E. coli methionyl-tRNA synthetase was studied by spectroscopic method (NMR, CD, Fluorescence). The importance of tryptophan residue at the position 461 was investigated by fluorescence spectroscopy. Tryptophan 461 is expected to be an essential site for the interaction between E. coli methionyl-tRNA synthetase and E. coli $tRNA^{Met}$. Proton and heteonuclear 2-dimensional NMR spectroscopy were also used to elucidate the protein-tRNA interaction.

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Semi-Analytical Methods for Different Problems of Diffraction-Radiation by Vertical Circular Cylinders

  • Malenica, Sime
    • International Journal of Ocean System Engineering
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    • 제2권2호
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    • pp.116-138
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    • 2012
  • As in the other fields of mechanics, analytical methods represent an important analysis tool in marine hydrodynamics. The analytical approach is interesting for different reasons : it gives reference results for numerical codes verification, it gives physical insight into some complicated problems, it can be used as a simplified predesign tool, etc. This approach is of course limited to some simplified geometries (cylinders, spheres, ...), and only the case of one or more cylinders, truncated or not, will be considered here. Presented methods are basically eigenfunction expansions whose complexity depends on the boundary conditions. The hydrodynamic boundary value problem (BVP) is formulated within the usual assumptions of potential flow and is additionally simplified by the perturbation method. By using this approach, the highly nonlinear problem decomposes into its linear part and the higher order (second, third, ...) corrections. Also, periodicity is assumed so that the time dependence can be factorized i.e. the frequency domain formulation is adopted. As far as free surface flows are concerned, only cases without or with small forward speed are sufficiently simple to be solved semi-analytically. The problem of the floating body advancing in waves with arbitrary forward speed is far more complicated. These remarks are also valid for the general numerical methods where the case of arbitrary forward speed, even linearized, is still too difficult from numerical point of view, and "it is fair to say that there exists at present no general practical numerical method for the wave resistance problem" [9], and even less for the general seakeeping problem. We note also that, in the case of bluff bodies like cylinders, the assumptions of the potential flow are justified only if the forward speed is less than the product of wave amplitude with wave frequency.

Seismic performance of mixed column composed of square CFST column and circular RC column in Chinese archaized buildings

  • Xue, Jianyang;Zhou, Chaofeng;Lin, Jianpeng
    • Steel and Composite Structures
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    • 제29권4호
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    • pp.451-464
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    • 2018
  • This paper presents some quasi-static tests for 4 mixed columns composed of CFST column and RC column. The seismic performance and failure mode were studied under low-cyclic revised loading. The failure mode was observed under different axial compression ratios. The hysteretic curve and skeleton curve were obtained. The effects of axial compression ratio on yield mechanism, displacement ductility, energy dissipation, stiffness and strength attenuation were analyzed. The results indicate that the failure behavior of CFST-RC mixed column with archaized style is mainly caused by bending failure and accompanied by some shear failure. The axial compression ratio performs a control function on the yielding order of the upper and lower columns. The yielding mechanism has a great influence on the ductility and energy dissipation capacity of specimens. Based on the experiment, finite element analysis was made to further research the seismic performance by ABAQUS software. The variable parameters were stiffness ratio of upper and lower columns, axial compression ratio, yielding strength of steel tube, concrete strength and rebar ratio. The simulation results show that with the increase of stiffness ratio of the upper and lower columns, the bearing capacity and ductility of specimens can correspondingly increase. As the axial compression ratio increases, the ductility of the specimen decreases gradually. The other three parameters both have positive effect on the bearing capacity but have negative effect on the ductility. The results can provide reference for the design and engineering application of mixed column consisted of CFST-RC in Chinese archaized buildings.

고차경계요소법을 이용한 정상 유동중의 프로펠러 해석 (Analysis of a Marine Propeller in Steady Flow by a Higher-Order Boundary Element Method)

  • 백광준;서성부;전호환
    • 대한조선학회논문집
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    • 제38권3호
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    • pp.31-40
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    • 2001
  • 일반적으로 특이점들을 분포하여 물체주위 유동장을 해석할 때 저차패널법(Low-Order Panel Method)이 유용하게 사용되어져 왔다. 저차패널법과는 다르게 적분방정식의 계산정도와 해의 수렴성을 높일 수 있는 방법으로서, 물체경계의 형상을 2차 이상의 고차곡면요소로 표현하고 각 곡면요소 내에서 물리량의 변화를 동일한 차수를 갖는 고차경계요소법을 사용할 수 있다. 본 연구에서는 물체표면의 곡면요소와 물리량의 변화를 9절점 라그란지안(Lagrangian) 형상함수를 사용하여 정상 포텐셜유동 중에 작동하는 프로펠러 주위의 유동을 해석하였다. 개발된 프로그램을 프로펠러의 해석에 앞서 원형 날개에 대하여 Jordan의 선형 해석해와 비교하였으며, 두께의 영향을 관찰하였다. 프로펠러의 해석을 위해 DTRC 4119 프로펠러와 DTRC 4842 프로펠러에 적용하여 실험치와 계산치를 비교 검토하였다.

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부유체의 상하동요 고유진동수 예측 (Prediction of Heave Natural Frequency for Floating Bodies)

  • 김기범;이승준
    • 대한조선학회논문집
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    • 제54권4호
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    • pp.329-334
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    • 2017
  • As the motion response of heave for floating bodies on the water surface is relatively large near the natural frequency, it is necessary to predict its value accurately from the stage of initial design. Bodies accelerating in fluid experience force acted upon by the fluid, and this force is quantified by using the concept of added mass. For predicting the natural frequency of heave we need to know the added mass, which is given as a function of frequency, and hence the natural frequency can be obtained through only by iteration process, as was pointed out by Lee (2008). His method was applied to circular cylinders, and two dimensional cylinders of Lewis form by making use of the Ursell-Tasai method in the previous works, Lee and Lee (2013), Kim and Lee (2013), and Song and Lee (2015). In this work, a similar algorithm employing the concept of strip method is adopted for predicting the heave natural frequency of KCS(KRISO Container Ship), and the obtained computational result was compared with other existing experimental data, and the agreement seems reasonable. Furthermore, through the error analysis, it is shown that why the frequency corresponding to the local minimum of the added mass and the natural frequency are very close. And it seems probable that we can predict the heave natural frequency if we know only the local minimum of added mass and the corresponding frequency under a condition, which holds for ship-like bodies in general.

주기적인 진폭격자들에 의한 Talbot 결상 및 가시도 분석 (Talbot imaging of periodic amplitude objects and its visibility)

  • 김영란;이승복;조재흥;장수;임천석
    • 한국광학회지
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    • 제12권2호
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    • pp.83-90
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    • 2001
  • 주기적인 진폭물체를 가간섭광인 레이저광으로 조명하였을 때 이 물체가 렌즈없이 회절에 의하여 결상되는 Talbot 결상을 회절이론으로 해석하고 물체의 상이 1:1로 결상되는 Talbot 거리(Zr)를 정의 하였다. 그리고 실험적으로 이 Z/sub T//2 위치에서는 위상에서는 위상이 반전되는 현상도 동시에 관찰하였다. 이러한 Talbot 결상시 주기적인 물체의 개수, 즉 격자의 수에 따라 Talbot 상의 가시도를 Talbot 상의 FFT(Fast Fourier Transform)로부터 측정하였으며 그 결과 적어도 15개 이상의 격자들로 구성되어야 가시도 0.25로 정상적인(stationary) Talbot 결상이 됨을 알 수 있었다.

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GENOME STRUCTURE OF Bombyx mori NUCLEOPOLYHEDROVIRUS

  • SUSUMU MAEDA
    • 한국잠사학회:학술대회논문집
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    • 한국잠사학회 1997년도 Progress and Future Development of Sericultural Science and Technology 40th Anniversary Commemoration Symposium
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    • pp.73-101
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    • 1997
  • Baculoviruses are characterized by large double-stranded circular DNA genomes and rod-shaped enveloped virions. Bombyx mori nucleopolyhedrovirus(BmNPV) is a major pathogen, which causes severe damage in sericulture. Currently, BmNPV is recogtnized as an improtant tool in molecular biology, especially for expression of useful genes in B.mori cells and silkworm larvae. Our laboratories have focused on the studies of the molecular mechanisms of BmNPV replication and the application of BmNPV to agriculture and medicine. The entire nucleotide sequence of the BmNPV genome has recently determined. The BmNPV genome possessed 135 putative genes and 7 homologous repeated sequence (hrs) regions. Relatively little space, a few to a few hundred base-pairs, was observed between the open reading frames and hrs. Termination codons often overlapped. These results showed a compactly packde BmNPV genome. Based on comparative sequence analyses, we speculated that the ancestor of BmNPV was a baculovirus similar to Autographa californica NPV(AcNPV). The function of the BmNPV genes were characterized by gene deletion analysis; p35 was found to be involved in blocking apoptosis and cysteine proteinase was found to be involved in horizontal virus transmission by degrading viral-infected larval host. By AcNPV and BmNPV coinfection experiments, we identified a BmNPV gene involved in expanding host specificity of AcNPV. The identified gene was likely encoded a DNA helicase based on the amino acid sequence analysis; a few amino acid substitutions in the putative DNA helicase gene resulted in the expansion of host range of AcNPV. These findings indicate that BmNPV evolved within a short period from an AcNPV-like ancestral virus due to rapid evolution including specific amino acid substitutions and gene deletions/insertions.