• Title/Summary/Keyword: Square Method

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Symbolism of Circle, Square and Triangle Inherent in the Prototype Drafting Method for Traditional Hanbok (전통한복 원형제도법에 내재된 원(圓).방(方).각(角)의 상징성)

  • Jung, Ok-Im
    • Journal of the Korean Home Economics Association
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    • v.49 no.4
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    • pp.93-104
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    • 2011
  • The basic framework of traditional Korean clothing construction consists of circle, square and triangle. This composition principle has been presumed to be associated with the Cheonbu concept of the Dangun era wherein nature and human being are considered united. The Cheonbu concept is represented by circle, square and triangle which constitute Cheonbuin, the images and meanings of heaven. It contains profound philosophy wherein a circle symbolizes heaven and represents number one, a square symbolizes earth and represents the number two, and a triangle symbolizes human beings and represents the number three. Circles, squares and triangles have been used as various symbolic meanings both in the east and west and constitute the framework of Hanbok construction while connoting the Cheonbu concept and symbolism of the Cosmo-tree. From this point of view, the unity of human beings and heaven in Cheonbugyeong is symbolically inherent in Hanbok. Therefore, Hanbok with the basic framework of circles, squares and triangles can be considered a positive creation that created a composition principle of body-nature-clothing.

An Error Assessment of the Kriging Based Approximation Model Using a Mean Square Error (평균제곱오차를 이용한 크리깅 근사모델의 오차 평가)

  • Ju Byeong-Hyeon;Cho Tae-Min;Jung Do-Hyun;Lee Byung-Chai
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.8 s.251
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    • pp.923-930
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    • 2006
  • A Kriging model is a sort of approximation model and used as a deterministic model of a computationally expensive analysis or simulation. Although it has various advantages, it is difficult to assess the accuracy of the approximated model. It is generally known that a mean square error (MSE) obtained from the kriging model can't calculate statistically exact error bounds contrary to a response surface method, and a cross validation is mainly used. But the cross validation also has many uncertainties. Moreover, the cross validation can't be used when a maximum error is required in the given region. For solving this problem, we first proposed a modified mean square error which can consider relative errors. Using the modified mean square error, we developed the strategy of adding a new sample to the place that the MSE has the maximum when the MSE is used for the assessment of the kriging model. Finally, we offer guidelines for the use of the MSE which is obtained from the kriging model. Four test problems show that the proposed strategy is a proper method which can assess the accuracy of the kriging model. Based on the results of four test problems, a convergence coefficient of 0.01 is recommended for an exact function approximation.

A Design and Fabrication of the High-Speed Division/square-Root using a Redundant Floating Point Binary Number (고속 여분 부동 소수점 이진수의 제산/스퀘어-루트 설계 및 제작)

  • 김종섭;이종화;조상복
    • Proceedings of the IEEK Conference
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    • 2001.06b
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    • pp.365-368
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    • 2001
  • This paper described a design and implementation of the division/square-root for a redundant floating point binary number using high-speed quotient selector. This division/square-root used the method of a redundant binary addition with 25MHz clock speed. The addition of two numbers can be performed in a constant time independent of the word length since carry propagation can be eliminated. We have developed a 16-bit VLSI circuit for division and square-root operations used extensively in each iterative step. It peformed the division and square-root by a redundant binary addition to the shifted binary number every 16 cycles. Also the circuit uses the nonrestoring method to obtain a quotient. The quotient selection logic used a leading three digits of partial remainders in order to be implemented in a simple circuit. As a result, the performance of the proposed scheme is further enhanced in the speed of operation process by applying new quotient selection addition logic which can be parallelly process the quotient decision field. It showed the speed-up of 13% faster than previously presented schemes used the same algorithms.

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Frequency Characteristics of Surface Wave Generated by Single-Line Pulsed Laser Beam with Two Kinds of Spatial Energy Profile Models: Gaussian and Square-Like

  • Seo, Ho-Geon;Kim, Myung-Hwan;Choi, Sung-Ho;Kim, Chung-Seok;Jhang, Kyung-Young
    • Journal of the Korean Society for Nondestructive Testing
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    • v.32 no.4
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    • pp.347-354
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    • 2012
  • Using a single-line pulsed laser beam is well known as a useful noncontact method to generate a directional surface acoustic wave. In this method, different laser beam energy profiles produce different waveforms and frequency characteristics. In this paper, we considered two typical kinds of laser beam energy profiles, Gaussian and square-like, to find out a difference in the frequency characteristics. To achieve this, mathematical models were proposed first for Gaussian laser beam profile and square-like respectively, both of which depended on the laser beam width. To verify the theoretical models, experimental setups with a cylindrical lens and a line-slit mask were respectively designed to produce a line laser beam with Gaussian spatial energy profile and square-like. The frequency responses of the theoretical models showed good agreement with experimental results in terms of the existence of harmonic frequency components and the shift of the first peak frequencies to low.

Heat/Mass Transfer and Flow Characteristics Within a Film Cooling Hole of Square Cross Sections (I) - Effects of Blowing Ratio and Reynolds Number - (정사각 막냉각홀 내부에서의 열/물질전달 및 유동 특성 (I) - 분사비 및 레이놀즈 수 효과 -)

  • Kang, Seung-Goo;Rhee, Dong-Ho;Cho, Hyung-Hee
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.7
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    • pp.927-936
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    • 2002
  • An experimental study has been conducted to investigate the heat/mass transfer characteristics within a film cooling hole of square cross-section for various blowing ratios and Reynolds numbers. The experiments have been performed using a naphthalene sublimation method and the flow field has been analyzed by numerical calculation using a commercial code. A duct flow enters into a film cooling hole in a cross-direction. For the film cooling hole with square cross-section, it is observed that the reattachment of separated flow and the vortices within the hole enhance considerably the heat/mass transfer around the hole entrance region. The heat/mass transfer on the leading edge side of hole exit region increases as the blowing ratios decrease because the main flow induces a secondary vortex. Heat/mass transfer patterns within the square film cooling hole are changed little with the various Reynolds numbers.

Axial behavior of RC columns strengthened with SCC filled square steel tubes

  • Lu, Yi-Yan;Liang, Hong-Jun;Li, Shan;Li, Na
    • Steel and Composite Structures
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    • v.18 no.3
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    • pp.623-639
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    • 2015
  • Self-compacting Concrete (SCC) Filled Square steel Tubes (SCFST) was used to strengthen square RC columns. To establish the efficiency of this strengthening method, 17 columns were tested under axial compression loading including 3 RC columns without any strengthening (WRC), 1 RC column strengthened with concrete jacket (CRC), 13 RC columns strengthened with self-compacting concrete filled square steel tubes (SRC). The experimental results showed that the use of SCFST is interesting since the ductility and the bearing capacity of the RC columns are greatly improved. The improvement ratio is significantly affected by the nominal wall thickness of steel tubes (t), the strength grade of strengthening concrete (C), and the length-to-width ratio (L / B) of the specimens. In order to quantitatively analyze the effect of these test parameters on axial loading behavior of the SRC columns, three performance indices, enhancement ratio (ER), ductility index (DI), and confinement ratio (CR), were used. The strength of the SRC columns obtained from the experiments was then employed to verify the proposed mode referring to the relevant codes. It was found that codes DBJ13-51 could relatively predict the strength of the SRC columns accurately, and codes AIJ and BS5400 were relatively conservative.

Determination of Frequency for decision of heavy metal ion concentration in Square Wave Voltammetry with FPGA SoC (FPGA SoC를 이용한 네모파 전압전류법의 주파수 변화에 따른 계측 분석)

  • Lee, Jaechoon
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.14 no.4
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    • pp.101-107
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    • 2018
  • In the stripping scan square wave voltammetry (SV+SWV) polarography that is often used to analyze the concentration of heavy metals in water, we must measure the point where the faradic current that flows by the pure oxidation-reduction reaction at the electrode is greater than the capacitive current, the frequency cannot be too high. Therefore we wanted to find the frequency range that can be measured. In order to do this, we came up with a method to analyze the signal using FPGA Soc. With this method, the frequency of the square wave was increased from 10Hz to 400Hz by 10Hz, and the measuring time of the square wave was changed from 96.695% to 96.765% by 0.005% while 1600 experiments were conducted. As a result, the frequency of the square wave maintained a stable area of potential-current within 320Hz and it was possible to measure the potential-current signal when calculating the measuring time within the frequency range of 96.7155%.

The Magic Square Algorithm (마방진 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.17 no.3
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    • pp.159-166
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    • 2017
  • This paper proposes an algorithm for odd, doubly even, and singly even magic squares. In constructing an odd magic square, de la $Loub{\grave{e}}re^{\prime}s$ method is widely known and used, but it has an inherent defect of executing $O(n^2)$ steps. 2 types of cross algorithms have been proposed to the double even magic square, and more to the singly even magic square based on the odd magic square of ${\frac{n}{2}}{\times}{\frac{n}{2}}$, the most popular and simple of which is one proposed by Strachey. The algorithm proposed in this paper successfully constructs odd and doubly even magic squares by undergoing 3 steps and 4 steps respectively. It also directly constructs a singly even magic square without having its basis on the odd magic square.

The evaluation of correction methods and effect of kaolinite on quantitative analysis of quartz in respirable dust by FTIR direct-on-filter method (직접필터법을 이용한 석영 분석시 고령석의 영향 및 보정방법 평가)

  • Phee, Young Gyu
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.19 no.1
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    • pp.1-7
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    • 2009
  • To establish the Fourier-Transform Infra-Red spectrophotometry(FTIR) Direct-On-Filter(DOF) technique as a useful analytical method for quartz in respirable dust samples, an influence of the kaolinite should be corrected. Respirable dust, created in a dust chamber containing the standard material of quartz and kaolinite were collected using a cyclone equipped with a 25 mm, $0.8\;{\mu}m$ pore size DM filter as a collection medium. This study was designed to compare three methods of correction for kaolinite when quantifying the content of quartz, including the least square, the optimum choice and the spectral subtraction methods. The content of quartz in the respirable dust samples was overestimated by 6.2% when mixed with kaolinite(35.5% by weight). The content of quartz containing kaolinite(72.8% by weight) were overestimated by 32%. The spectral subtraction method underestimated the quartz content by 1.5%, while the other two correction methods, the optimum choice and the least square method, overestimated the quartz content by 1.9% to 6.4% and 0.04 to 1.1%, respectively. The results of this study are suggested that, when correcting for effects of kaolinite on quantitative analysis of quartz in respirable dust by FTIR direct-on-filter method, the least square method produce the most unbiased results be compared with those of other correction methods.

Determination of an Optimum Initial Cable Tension Force for Cable-Stayed Bridges using the Least Square Method (최소자승법을 이용한 사장교의 적정 케이블 장력 결정)

  • Park, Yong Myung;Cho, Hyun Jun
    • Journal of Korean Society of Steel Construction
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    • v.17 no.6 s.79
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    • pp.727-736
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    • 2005
  • This study presents a method of determining the optimum cable tension forces for the proper initial equilibrium state of a cable-stayed bridge using the least square method. The proposed method minimizes the errors, i.e., the differences, such as the deflection and the moments of the girder and the tower, between the target values from a continuous beam by considering the cable anchor point as supports of the girder and the responses obtained from the analysis of the entire cable-stayed bridge system. Especially, the proposed method can selectively control the adjustment of the tower moment, the girder moment, and the deflections by introducing the weighing matrix. Through numerical analysis and comparisons with existing studies, the usefulness and validity of the proposed method was verified.