• Title/Summary/Keyword: 공식 유도

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Examination on the Experimental Prediction of Scour Depths Caused by Jets (\ulcorner㈎\ulcorner의한 세굴깊이의 실험적 예측에 대한 고찰)

  • Son, Kwang-Ik;Yoon, Se-Eui
    • Journal of Korea Water Resources Association
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    • v.30 no.6
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    • pp.743-751
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    • 1997
  • A thorough literatural review of researches on the experimental prediction of scour depths caused by jets was carried out to find out a measure of scour prediction. A new experimental equation for predicting scour depths due to a vortical or an inclined jet was developed from five hundreds of experimental data which were carefully reviewed and adopted from the previous researches. The developed equation shows 0.941 statistical correlation coefficient. It was found that the parameters governing the scour depth were the size of bed material, flow rate through unit width of spillway, and head drop across structure. The predicted scour depth could be expressed as the deepest scouring depth below tail water surface with correlation coefficient ${\gamma}$ = 0.941.

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Study on the Effect of Rock Blasting (암석파괴효율(岩石發破效率)에 관한 연구(硏究))

  • Kim, Woong Soo;Lee, Keun Bai
    • Economic and Environmental Geology
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    • v.13 no.1
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    • pp.29-50
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    • 1980
  • 1. 현장발파(現場發破)에 있어서 오늘날 충분(充分)히 실용(實用)할 수 있는 발파이론(發破理論)이 확립(確立)되어 있지 않다고 본다. 그 이유(理由)는 종래(從來) 사용해오던 Hauoser의 공식(公式)이 실용발파(實用發破)에 전(全)혀 도움을 주지 못하기 때문이다. 즉(卽), i) 장약량수정(裝藥量修正)에 관(關)한 누두함수(漏斗函數) f(n) 발파규모수정항(發破規模修正項) f(W)와의 혼용(混用) ii) 암석항력계수(岩石抗力係數) g와 단위체적당폭약소비량(單位體積當爆藥消費量) $(kg/m^3)$과의 오용(誤用) iii) 폭파계수(爆破係數) C가 egd인가, f(W) egd인가의 부명확성(不明確性) 등이다. 본연구에서의 이와 같은 제문제점(諸問題點)을 명확(明確)히 하고 2. 제발발파이론(齊發發破理論)을 확대적용(擴大適用)하여 bench 발파(發破), smooth blasting 및 소할발파(小割發破)에 있어서는 장약량공식(裝藥量公式)을 유도(誘導)할 수 있음을 증명(證明)하고 3. 갱도굴착단면계수(坑道掘鑿斷面係數) 및 발파규모(發破規模)에 의하여 수정(修正)한 단위체적당장약량(單位體積當裝藥量)$(kg/m^3)$을 구(求)하고 총장약량(總裝藥量)을 산출(算出)하여 발파설계(發破設計)를 할 수 있는 방법(方法)의 예(例)를 들어 보였다.

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Stochastic Prediction of Strong Ground Motions in Southern Korea (추계학적 보사법을 이용한 한반도 남부에서의 강지진동 연구)

  • 조남대;박창업
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.4
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    • pp.17-26
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    • 2001
  • In order to estimate peak ground motions and frequency characteristics of strong ground motions in southern korea, we employed the stochastic simulation method with the moment magnitude(M$_{w}$) and the hypocentral distance(R). We estimated same input parameters that account for specific properties of source and propagation processes, and applied them to the stochastic simulation method. The stress drop($\Delta$$\sigma$) of 100-bar was estimated considering results of research in ENA, China, and southern korea. The attenuation parameter x was calculated by analyzing 57 seismograms recorded from September 1996 to October 1997 and the estimation result of the attenuation parameter x is 0.00112+0.000224 R where R is hypocenter distance. We estimated strong ground motion relations using the stochastic simulation method with suitable input parameters(e.g. $\Delta$$\sigma$, x, and so on). At last, we derived relations between hypocentral distances and ground motions(seismic attenuation equation) using results of the stochastic prediction.esults of the stochastic prediction.n.

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Design of Longitudinal prestress of precast decks in twin-girder continuous composite bridges (강박스거더 교량의 프레임 형식 중간다이아프램의 설계)

  • Yoon, Dong Yong;An, Sung Hyun;Lee, Sung Chul
    • Journal of Korean Society of Steel Construction
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    • v.18 no.5
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    • pp.515-524
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    • 2006
  • Cross-sectional distortions take place when steel box girders a re subjected to torsional moment, as a consequence of which distortional warping stresses are necessarily developed. Additional normal stresses due to the distortion are should be included at the design stage. The relative magnitude with respect to the maximum bending stress are kept less than the specific values, i.e., at 5~10%, by properly spaced intermediate diaphragms that could prevent the distortional deformation of the box girder. However, current design equations for the stiffness of intermediate diaphragms were derived based on BEF. In this study, the area required by the intermediate diaphragm members are investigated through three-dimensional finite element analyses. The results of the analyses indicate that the current equations give to conservative values for the intermediate diaphragm of box girder bridges. Finally, an improved equation for the area of the intermediate diaphragm is derived from a regression analysis from the finite element analysis results.

Derivation of regional annual mean rainfall erosivity for predicting topsoil erosion in Korea (표토침식량 산정을 위한 지역별 연평균 강우침식인자 유도)

  • Lee, Joon-Hak
    • Journal of Korea Water Resources Association
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    • v.51 no.9
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    • pp.783-793
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    • 2018
  • The purpose of this study to present updated regional annual mean rainfall erosivity data in the Republic of Korea. In 2012, Ministry of Environment in Korea published the notice about investigation and survey procedure for the amount of topsoil erosion and adopted USLE (Universal Soil Loss Equation) model to predict the amount of national-scale soil erosion in Korea. In the notice, regional rainfall erosivity values for 158 sites, which is essential to apply the USLE, were included, however, these values came from the data made before 1997 and need to be updated. This study collected, classified and combined annual mean rainfall erosivity data from the literature review to analyze the data. We presented that new iso-erodent map, interpolated by IDW (Inverse Distance Weighted) method and extracted updated regional annual mean rainfall erosivity data at 167 regions for 1961~2015. These values will be used as updated rainfall erosivity data to predict the amount of topsoil erosion in Korea.

Development of Empirical Formulas for Storage Function Method (저류함수법의 매개변수 산정식 개발)

  • Choi, Jong-Nam;Ahn, Won-Shik;Kim, Tae-Gyun;Chung, Gun-Hui
    • Journal of the Korean Society of Hazard Mitigation
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    • v.9 no.5
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    • pp.125-130
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    • 2009
  • Storage function method which considers the non-linearity of the relationship between rainfall and runoff has been frequently used to predict runoff in a basin and a flood pattern. However, it is time-consuming to estimate appropriate parameters of every basin and rainfall event, which requires the empirical parameter equation applicable in Korea. In this study, multiple regression analysis is used to develop empirical equations to estimate parameters of Storage Function method using basin characteristics. The basin area, maximum stream length, and stream slope are considered as the basin characteristics as the result of the regression analysis. Collinearity is removed and trial-and-error method is used to choose the most descriptive parameters to the dependent variables in Han River basin which is divided into 30 subbasins. The developed equations are validated using the rainfall events in MunMak gauging station and named as 'Han River equation'. The equation could provide the useful information about Storage Function method parameter to calculate runoff from a basin and predict river stage.

A Study on Various Transformations of Triangle's Area fonnulas (삼각형 넓이 공식의 다양한 변형에 대한 연구)

  • Cho, Do-Heun;Pyo, Myeung-Ji;Jang, Young-Soo;Lee, Se-Chan;Kim, Gi-Soo;Han, In-Ki
    • Communications of Mathematical Education
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    • v.25 no.2
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    • pp.381-402
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    • 2011
  • In this paper we study formulae of the triangle's area. We solve problems related with making new formulae of the triangle's area. These formulae is consisted of some elements of triangle, for example side, angle, median, perimeter, radius of circumcircle. We transform formulae $S=\frac{1}{2}acsinB$, $S=\frac{abc}{4R}$, $S=\sqrt{p(p-a)(p-b)(p-c)}$, and make new formulae of the triangle's area. Some formulas are received in the process of Research and Education program in the science high school. We expect that our results will be used in the Research and Education program in the science high school.

The estimation of river discharge by using the mean velocity equation in a unsteady condition (평균유속공식을 이용한 부정류 하천유량 산정)

  • Choo, Tai Ho;Chae, Soo Kwon;Yoon, Hyeon Cheol;Yun, Gwan Seon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.12
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    • pp.6558-6564
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    • 2013
  • As the average indicator for amount of water flowing in any cross section of a river, the mean discharge has been reported to be a very important factor for examining water circle constructions in a river basin, the design and construction of a hydraulic structure, and water front area use and management. The stage-discharge curve based on discharge and stage data measured in a normal season were basically derived. Using this derivation, the necessary discharge data was obtained. The values produced in this manner corresponded to the measured data in a uniform flow state well, but showed limited accuracy in a flood season (unsteady flow). In the present paper, the mean velocity in unsteady flow conditions, which exhibited loop form properties, was estimated using the new mean velocity formula derived from Chiu's 2-D velocity. The results of RMSE and Polar graph analyses showed that the proposed equation exhibited approximately nineteen times the accuracy compared to the Manning and Chezy equations.

Improving the Performance of Document Clustering with Distributional Similarities (분포유사도를 이용한 문헌클러스터링의 성능향상에 대한 연구)

  • Lee, Jae-Yun
    • Journal of the Korean Society for information Management
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    • v.24 no.4
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    • pp.267-283
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    • 2007
  • In this study, measures of distributional similarity such as KL-divergence are applied to cluster documents instead of traditional cosine measure, which is the most prevalent vector similarity measure for document clustering. Three variations of KL-divergence are investigated; Jansen-Shannon divergence, symmetric skew divergence, and minimum skew divergence. In order to verify the contribution of distributional similarities to document clustering, two experiments are designed and carried out on three test collections. In the first experiment the clustering performances of the three divergence measures are compared to that of cosine measure. The result showed that minimum skew divergence outperformed the other divergence measures as well as cosine measure. In the second experiment second-order distributional similarities are calculated with Pearson correlation coefficient from the first-order similarity matrixes. From the result of the second experiment, secondorder distributional similarities were found to improve the overall performance of document clustering. These results suggest that minimum skew divergence must be selected as document vector similarity measure when considering both time and accuracy, and second-order similarity is a good choice for considering clustering accuracy only.

A Similarity Measure Using Rating Ranges for Memory-based Collaborative Filtering (메모리 기반 협력필터링을 위한 평가 등급 범위를 이용한 유사도 척도)

  • Lee, Soojung
    • Journal of The Korean Association of Information Education
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    • v.17 no.4
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    • pp.375-382
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    • 2013
  • Collaborative filtering has been most widely used in commercial sites to recommend items based on the history of user preferences for items. The basic idea behind this method is to find similar users whose ratings for items are incorporated to make recommendations for new items. Hence, similarity calculation is most critical in recommendation performance. This paper presents a new similarity measure that takes each rating of a user relatively to his own ratings. Extensive experiments revealed that the proposed measure is more reliable than the classic measures in that it significantly decreases generation of extreme similarity values and its performance improves when consulting neighbors with high similarites only. In particular, the results show that the proposed measure is superior to the classic ones for datasets with large rating scales.