• 제목/요약/키워드: five formulas

검색결과 79건 처리시간 0.026초

조선조대 호실전적의 허실과 삼각함수표

  • 유인영
    • 한국수학사학회지
    • /
    • 제15권3호
    • /
    • pp.1-16
    • /
    • 2002
  • The area between the arc and chord of a circle is called Hosichun whose figure looks like a bow and an arrow, and had been evaluated by the two formulas $\textit{H}_{n1}$=a(a+y)/2 and $\textit{H}_{n2}$=3ay/4, where $\alpha$ is the length of the arrow and y the chord of the circle. By the inspection of the area of the Hosichun, some errors of the numeration table in Thurmans S. Peterson's CALCULUS were found easily, that is, the area of the Hosichun is smaller than its subarea in the same Hosichun and perhaps has been to be the worldwide and centurial invalid standard. From now on, the chain proofreadings of the errors will be necessary in our mathematical world. This paper is intended to introduce some such problems related to a circle and another Pythagorean Theorem which is the ratio of the side and diagonal of five and seven In a square.

  • PDF

Multi-Level Skip-Lot Sampling Plan

  • Cho, Gyo-Young;Ahn, Young-Sun
    • Communications for Statistical Applications and Methods
    • /
    • 제8권2호
    • /
    • pp.383-394
    • /
    • 2001
  • This paper is a generalization of single and two-level skip-lot sampling plans to n-level. On every skipping inspection of the n-level skip-lot sampling plan, not only the number of consecutive lots to be accepted but also the fraction of lots to be inspected can be freely choosed. The general formulas of the operating characteristic function, average fraction inspected, average sample number and average outgoing quality in n-level skip-lot sampling plan are derived. The operating characteristic curves, average sample number and average outgoing quality of a reference plan, two-level and five-level skip-lot sampling plans are compared.

  • PDF

AN UNSTRUCTURED MESH FINITE VOLUME METHOD FOR MODELLING SALTWATER INTRUSION INTO COASTAL AQUIFERS

  • Liu, F.;Turner, I.;Anh, V.
    • Journal of applied mathematics & informatics
    • /
    • 제9권2호
    • /
    • pp.561-577
    • /
    • 2002
  • In this paper, a two-dimensional finite volume unstructured mesh method (FVUM) based on a triangular background interpolation mesh is developed for analysing the evolution of the saltwater intrusion into single and multiple coastal aquifer systems. The model formulation consists of a ground-water flow equation and a salt transport equation. These coupled and non-linear partial differential equations are transformed by FVUM into a system of differential/algebraic equations, which is solved using backward differentiation formulas of order one through five. Simulation results are compared with previously published solutions where good agreement is observed.

A physically consistent stress-strain model for actively confined concrete

  • Shahbeyk, Sharif;Moghaddam, Mahshid Z.;Safarnejad, Mohammad
    • Computers and Concrete
    • /
    • 제20권1호
    • /
    • pp.85-97
    • /
    • 2017
  • With a special attention to the different stages of a typical loading path travelled in a fluid confined concrete test, this paper introduces a physically consistent model for the stress-strain curve of actively confined normal-strength concrete in the axial direction. The model comprises of the five elements of: (1) a criterion for the peak or failure strength, (2) an equation for the peak strain, (3) a backbone hydrostatic curve, (4) a transient hardening curve linking the point of departure from the hydrostatic curve to the failure point, and finally (5) a set of formulas for the post-peak region. Alongside, relevant details and shortcomings of existing models will be discussed in each part. Finally, the accuracy and efficiency of the proposed model have been verified in a set of simulations which compare well with the experimental results from the literature.

정사보정에 의한 정표고의 정밀계산 (Calculation of Precision Orthometric Height by Orthometric Correction)

  • 윤홍식;조재명
    • 한국측량학회지
    • /
    • 제22권2호
    • /
    • pp.117-125
    • /
    • 2004
  • 본 논문은 수준측량 결과에 대한 중력에 의한 영향인 정사보정량을 계산하기 위한 다양한 공식들을 조사하여 수치해석을 통한 정사보정량의 크기와 공식별 계산결과를 비교하였으며, 수치해석을 위하여 2개의 수준노선을 선정하여 수준측량 결과와 중력데이터를 이용하였다. 공식별 비교결과, 우리나라와 같이 평균표고가 높고, 지형의 기복변화가 심한 지역에서는 실측 중력값을 고려하여 정사보정량을 계산하는 것이 필요함을 알 수 있었다.

어패럴 CAD 시스템에서 진동둘레 그레이딩 편차 설정 (Development of a Grading Increment at Armhole Area by Apparel CAD System)

  • 정은숙;김희은
    • 한국의류학회지
    • /
    • 제27권6호
    • /
    • pp.665-674
    • /
    • 2003
  • The purpose of this study was to develop a grading increment at armhole area by apparel CAD(Computer Aided Design) system. In developing a grading increment at armhole area, we analyzed ease values of armhole area in bodice and sleeve by manual drafting patterns of five sizes. We suggested grading increments applied Pythagorean theorem to development the grading increment of the armhole of sleeve. The results and discussions of this study were as follows: 1. In drafting each size, the ease values were not identical. It was difficult to draft perfectly the same armhole line shape between sizes. 2. According to our developed grading increments applied Pythagorean theorem, the ease values were identical between sizes and difference of the armhole length between sizes was also identical. 3. The grading formulas were made out for apparel CAD system. Once grading increment or formula is set in the computer, it can be easily altered to various clothing items at any time. The efficiency of grading work will be also improved and grading time will be reduced.

제주지방(濟州地方)의 확률강우강도식(確率降雨强度式) 유도(誘導) (Derivation of Probable Rainfall-Intensity Formula in the Cheju Districts)

  • 김철순;임병대;김운중;표영평
    • 대한토목학회논문집
    • /
    • 제13권2호
    • /
    • pp.183-190
    • /
    • 1993
  • 강우현상은 지역별로 그 특성이 다르고, 장기간을 관측하여 보면 강우특성도 전에 비해서 많이 변화하므로 보다 정확한 배수계획의 수립이나 수공구조물계획을 위해서는 그 지역의 최근의 관측자료까지 포함한 강우특성을 연구하여 적용하는 것이 바람직하다. 따라서 제주지방의 주요 우량관측소(제주시, 서귀포, 성산포)의 최근 20년간(年間)의 자기우량기록지에서 연최대(年最大) 강우량만을 골라서 우량지속기간별로 실측우량을 발췌하였으며, 강우강도식은 일반적으로 많이 사용하고 있는 Talbot형(型), Sherman형(型), Japanese형(型)에다 새로운 Semi-log형(型)을 추가해서 제주지방의 지역별 최적확률 강우강도식을 유도해 본 결과 제주시는 확률년이 3년(年)~5년(年)에는 Japanese형(型), 그 외는 Talbot형(型)이고, 서귀포는 Sherman형(型), 성산포는 Talbot형(型)으로 나타났다.

  • PDF

『의방신감(醫方新鑑)』에 나타난 한병연(韓秉璉) 의학사상 (A study of medical of Han Byung Lyun(韓秉璉) on Eui Bang Shin Gam (『醫方新鑑』))

  • 김단희;김남일
    • 한국의사학회지
    • /
    • 제22권1호
    • /
    • pp.31-45
    • /
    • 2009
  • Eui Bang Shin Gam("醫方新鑑") is a classic on oriental medicines written by Shin Oh (新塢) Han Byung Lyun (韓秉璉) in 1913. It was written under the base of the writer's own experience as well as in the light of 36 other classics on oriental medicines such as Dong Eui Bo Gam ("東醫寶監"), Eui Hak Yip Mun ("醫學入門"), and Kyung Ak Jeon Seo ("景岳全書"). In an attempt to avoid difficult theories and list only the essential informations and formulas for clinical purposes, it attained its own characteristics of not only reorganizing Dong Eui Bo Gam in a pragmatic way but also explaining diseases classified in western medicines in oriental medicines' point of view as well as suggesting medicine formulas regarding such explanations. As a result, it is a complete and efficient medical classic through which one can gain knowledge in both classic oriental medicines and combination of western and oriental medicines. Its special features are making a separate chapter for cholera and Lao Zhai (勞瘵), which is also a contagious disease, and trying in the chapter to explain the diseases in words of oriental medicines; listing details of nine major epidemic and matching them with the diseases known in oriental medicines; and recording a case of enforcing sterilization and preventive injection against contagious diseases. The basic medical theory in Eui Bang Shin Gam are the yin-yang theory, the thesis of fire and water, the thesis of the exterior and the interior, Yun Qi Lun (運氣論), and four institutions of human body. In explaining the basic theories, the writer emphasized strengthening the yang of the body, under the influence of the thoughts of Zhang Ga Bin (張介賓). Since he put the importance of diagnosis first, the first chapter is about diagnosis. There are five different ways of diagnosing a patient mentioned in the book, and acupuncture, pulse, and medicines was considered crucial.

  • PDF

네트워크 분석을 이용한 『영악전서(景岳全書)』 신방팔진(新方八陣)의 탐색적 구조 분석 (Exploratory Structural Analysis on Eight Positions for New Formulations in Jingyuequanshu by Network Analysis)

  • 정윤경;김형석;김현호;박영재;박영배
    • 대한한의학회지
    • /
    • 제35권3호
    • /
    • pp.49-59
    • /
    • 2014
  • Background: Eight positions for new formulations in Jingyuequanshu is a unique classifying system and each position can be presented as a network. Network analysis is an effective method of visualizing the relationship of textual information. Purpose: This study aimed to analyze the structure of the eight positions for new formulations in Jingyuequanshu, and to acquire information about composing materia medica. Methods: We constructed an initial database and binary matrix of eight positions for new formulation in Jingyuequanshu, including its herbs and formulations. With this data, we carried out frequency and network analysis. Results: We analyzed each of the eight positions for new formulation, entire positions, and five positions after removing 'causal/cold/hot' positions. We found that the formulas of the causal position are distributed throughout the new formulation, and those of the cold and hot positions are also distributed similarly but the two groups are exclusive to each other. The other 5 positions are distributed exclusively to one another. Conclusions: Eight positions for new formulation of Jingyuequanshu were classified into three axes by exploratory network analysis. One is an axis of causal position, another is an axis of cold/hot positions, and the last is an axis of the other five positions.

아연결정유의 제조에 있어서 소성조건에 따른 결정생성과 성장에 관한 연구 (A Study of Nucleation and Growth in Zinc Crystal Glaze by Firing Conditions)

  • 이지연;이병하
    • 한국세라믹학회지
    • /
    • 제46권3호
    • /
    • pp.253-262
    • /
    • 2009
  • The purpose of this study is to find out optimum conditions for zinc crystalline glaze under variables of firing: maximum firing temperature, crystal growth temperature, temperature increasing speed, annealing speed, holding time at maximum temperature and holding time at crystal growth temperature. Ferro Frit3110, ZnO and Quartz were used as starting materials and tested by three component system. The best result of test was selected and extended to its vicinity as five glaze formulas. And then the specimens were experimented by variable firing conditions and analyzed by crystal appearance observation, XRD, FT-IR and Raman spectroscopy. In result, main crystal was willemite in the zinc glazes. Some gahnite was detected in specimens which were fired at $1230^{\circ}C$, $1250^{\circ}C$ and $1270^{\circ}C$, however gahnite was not identified at $1300^{\circ}C$. Optimum zinc crystalline glaze was gained by following firing condition: temperature increasing speed $5^{\circ}C$/min, holding 1 h at $1270^{\circ}C$, annealing speed $3^{\circ}C$/min till $1170^{\circ}C$, holding 2 h at $1170^{\circ}C$ then naturally annealed.