• 제목/요약/키워드: 최석정

검색결과 28건 처리시간 0.023초

정사각형 형태가 아닌 마방진에 대한 고찰 (A study on various non-regular magic squares)

  • 이경언
    • 한국수학교육학회지시리즈E:수학교육논문집
    • /
    • 제24권1호
    • /
    • pp.195-220
    • /
    • 2010
  • 방진 또는 마방진(magic square, 魔方陣)은 정사각형 모양으로 수를 배열하여 가로, 세로, 대각선의 합이 같아지도록 만든 수배열을 말한다. 마방진의 '방'에는 정사각형이라는 의미가 포함되어 있다. 만약 '방' 즉 정사각형이라는 조건을 제거한다면 어떤 수배열이 가능할 것인가? 중국의 "양휘산법"과 "산법통종"에는 취오도(聚五圖)와 취육도(聚六圖), 취팔도(聚八圖), 찬구도(攢九圖), 팔진도(八陣圈), 연환도(連環圖)와 같은 다양한 수배열이 제시되어 있다. 또한 조선 시대 수학자 최석정의 "구수략"에는 지수귀문도(地數龜文圖)라는 독창적이고 아름다운 수배열이 제시되어 있다. 이밖에도 원 모양의 마방진, 별 모양의 마방진 등 다양한 마방진이 존재한다. 본고에서는 이러한 정사각형 형태가 아닌 마방진을 소개하고 이들이 갖는 몇 가지 성질과 이에 대한 활용 방법을 제시하였다.

조선(朝鮮) 산학(算學)과 수리정온(數理精蘊) (Mathematics of Chosun Dynasty and $Sh\grave{u}\;l\breve{i}\;j\bar{i}ng\;y\grave{u}n$ (數理精蘊))

  • 홍영희
    • 한국수학사학회지
    • /
    • 제19권2호
    • /
    • pp.25-46
    • /
    • 2006
  • 서양 수학이 조선에 전입된 과정과 그 영향을 연구한다. 초기 과정은 최석정(崔錫鼎)$(1645\sim1715)$의 구수약(九數略), 홍정하(洪正夏)$(1684\sim?)$의 구일집(九一集), 중기 과정은 황윤석(黃胤錫)$(1719\sim1791)$의 이수신편(理藪新編), 홍대용(洪大容)$(1731\sim1781)$의 주해수용(籌解需用)을 통하여 조사한다. 서양 수학은 시헌력(時憲曆)의 도입과 함께 천문학의 연구를 위하여 도입되었다. 수리정온(數理精蘊)을 가장 잘 이해한 학산(鶴山) 초부(樵夫)의 수리정온보해(數理精蘊補解)(1730?)를 연구하고 서양 수학을 구조적으로 이해한 19세기의 이상혁(李尙爀)$(1810\sim?)$, 남병길(南秉吉)$(1820\sim1869)$을 연구한다.

  • PDF

블록형 고무피복체인식 낙교방지장치 (The Bridge Deck Restrainer of Rubber-Chain Type)

  • 최석정;강재윤;오태헌;유문식;윤석용
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 2000년도 가을 학술발표회논문집(I)
    • /
    • pp.777-784
    • /
    • 2000
  • During past earthquakes several bridges have failed due to a loss of support at their bearings, seats, and/or expansion joints. Most efforts to prevent this have been directed toward tying bridges together at their bearings and expansion joints. Longitudinal restrainers are installed to limit the relative displacement at joints and thus decrease the chance of a loss of support as these locations. Transverse restrainers are necessary in many cases to keep the superstructure from sliding off in the transverse direction. Vertical restrainers are used at bearings to prevent uplifting deck, but usually not economically justified unless additional bearing retrofit is being performed. To obtain this three function of restrainer, a universal restrainer is developed. The load capacities were evaluated in static and dynamic experimental test. The test results show that the measured capacity or strength of the bridge deck restrainer is similar to that of design value.

  • PDF

이차항체를 포함하는 수정미소저울 센서 칩을 이용한 사람과 소의 헵토글로빈 측정 (Detection of human and bovine haptoglobin by using quartz crystal microbalance sensor chip containing secondary antibody)

  • 김성일;하인영;최석정
    • 센서학회지
    • /
    • 제18권2호
    • /
    • pp.160-167
    • /
    • 2009
  • In this study, secondary antibody-containing quartz crystal microbalance(QCM) sensor chip was prepared and utilized for the detection of human and bovine haptoglobin. Anti-goat immunoglobulin G antibody, which is a secondary antibody capable of capturing primary antibodies raised in goat, was immobilized through the reaction between hydrazide and aldehyde group prepared on the QCM surface and antibody respectively. The resulting sensor chip showed higher stability in the repeated surface regeneration with acidic dissociation solution as well as requiring lower amount of primary antibody when compared to the protein G sensor chip. The secondary antibody sensor chip was applied for the estimation of bovine and human haptoglobin.

합의 범위를 이용한 지수귀문도 해의 탐구 (A study on solutions of Jisuguimundo using the range of magic sums)

  • 권균욱;박상후;송윤민;최성웅;박부성
    • 한국수학사학회지
    • /
    • 제27권2호
    • /
    • pp.111-125
    • /
    • 2014
  • Jisuguimundo is an inimitable magic hexagon devised by Choi Seok-Jeong, who was the author of GuSuRyak as well as a prime minister in Joseon dynasty. Jisuguimundo, recorded in GuSuRyak, is also known as Hexagonal Tortoise Problem (HTP) because its nine hexagons resemble a tortoise shell. We call the sum of numbers in a hexagon in Jisuguimundo a magic sum, and show that the magic sum of hexagonal tortoise problem of order 2 varies 40 through 62 exactly and that of hexagonal tortoise problem of order 3 varies 77 through 109 exactly. We also find all of the possible solutions for hexagonal tortoise problem of oder 2.

신축이음부에서 충돌을 고려한 콘크리트 교량의 동적해석 (Dynamics Analysis of Concrete Bridges at Expansion Joints Considering Pounding)

  • 최석정;유문식;전찬기;박선규
    • 한국구조물진단유지관리공학회 논문집
    • /
    • 제5권1호
    • /
    • pp.176-187
    • /
    • 2001
  • Most bridges have expansion joints to accommodate thermal expansion and contraction without inducing large forces in the bridges. To evaluate the effects of earthquake-induced at expansion joints of concrete bridges, the first part of this paper deals with a collinear impact between concrete segments, which have the same cross section but different lengths. Especially, impact force, momentum, strain energy and kinetic energy are formulated in mathematically. These results are then used in the second part of this paper to simulate a realistic yet simple analysis of seismic pounding in concrete bridges. Analysis of seismic pounding in idealized concrete bridges is carried out by using a simple lumped-mass model and rationally determined values of the coefficient of restitution and the duration of impact.

  • PDF

헵토글로빈 측정을 위한 수정미소저울 바이오센서 개발 (QCM biosensor for the determination of haptoglobin)

  • 김성일;이현정;박순혁;방현수;이진아;최석정
    • 센서학회지
    • /
    • 제16권2호
    • /
    • pp.132-141
    • /
    • 2007
  • The purpose this research is to develop QCM (quartz crystal microbalance) biosensor for the determination of haptoglobin. Haptoglobin is an acute-phase protein with a hemoglobin-binding activity and has a potential to be used as a biomarker for infection or cancer. Haptoglobin level in milk has been used for the diagnosis of cow mastitis. In this study, anti-bovine haptoglobin antibody or bovine hemoglobin was chemically immobilized on the surface of the QCM, and the resulting sensor chips were tested for their response to samples containing haptoglobin at different concentrations. Concentration dependent frequency change was observed with both of the sensor chips. Especially, the sensor chip containing anti-bovine haptoglobin antibody showed sufficient sensitivity in the concentrations typically observed in the cows with mastitis.

TMD를 이용한 기존 보도교의 효율적 진동제어 (Effective Vibration Control of Existing Footbridge Using Tuned Mass Damper)

  • 최석정;유문식;안상구;박찬희
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2003년도 추계학술대회논문집
    • /
    • pp.263-269
    • /
    • 2003
  • This paper describes the vibration control using a tuned mass damper(TMD) for the existing footbridge. The footbridge connecting driveway to the Stadium is the simple steel box-girder bridge with the main span length of 44.6m. This footbridge has light weight(=25.3kN/m) and pedestrians walking on the footbridge were found to induce resonance at the fundamental mode of the structure, resulting in unacceptable accelerations in it. Taking into account economical and constructional benefits, TMD was designed to damp the vibrations of the modes next to the natural frequency caused by a pedestrian, with a limitation criteria of vertical amplitude. A set of two 500kgf vertical TMDs was manufactured by KR and installed into the railings next to the central section of this footbridge. The installation of TMDs reduced the peak acceleration in the meeting box to less than 90%. It is hoped that the study will present bridge engineers with a measure of retrofitting footbridges to make them more friendly to users.

  • PDF

Protein G를 포함하는 수정미소저울 센서 칩과 정제되지 않은 항혈청을 이용한 헵토글로빈과 트랜스페린의 면역분석 (Immunoassay of haptoglobin and transferrin with proteinG-containing QCM sensor chip and unpurified antiserum)

  • 하인영;최석정
    • 센서학회지
    • /
    • 제17권5호
    • /
    • pp.380-386
    • /
    • 2008
  • Quartz crystal microbalance immunosensor has a capacity to perform a label-free and real time detection of a trace amount of analyte through the specific interaction between antibody and antigen. However, immobilization of antibody molecules on the sensor surface is a troublesome procedure for researchers who are not experienced in chemistry. Protein G has a specific affinity to antibody and would serve as a capturing agent for antibody when immobilized on the sensor surface. In this work, we prepared a protein G sensor chip by immobilizing protein G on the surface of quartz crystal microbalance and examined its capability to detect human haptoglobin or human transferrin with unpurified corresponding antiserum. Specific and dose dependent response was observed when the protein G chip was used for detection of antigens after saturated with antiserum. We also verified several advantageous aspects of the protein G chip such as improved flexibility and sensitivity.