• Title/Summary/Keyword: Interval numbers

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Critical Review of Statistics Chapter in High School Mathematics I (고등학교 수학 I "통계"에 대한 고찰)

  • Huh, Myung-Hoe
    • The Korean Journal of Applied Statistics
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    • v.20 no.1
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    • pp.159-165
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    • 2007
  • The statistics chapter in High School Mathematics I as implemented in The 7th Curriculum is reviewed critically. In views from mathematical integrity or logic, the current contents are not satisfactory in several key issues. Specific instances are the law of large numbers, normal distribution and confidence intervals for population mean. We suggest alternative teaching points to handle such difficulties and propose re-structuring the course syllabus with reduced items.

Statistical Characteristics of Electric and Magnetic Fields Produced by Multiple-Lightning Return Strokes (다중 낙뢰에 의하여 발생하는 전계와 자계의 통계적 특성)

  • Lee, Bok-H.;Ahn, Chang-H.;Sung, Jun-H.;Jeon, Duk-Kyu.
    • Proceedings of the KIEE Conference
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    • 1999.07e
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    • pp.2158-2160
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    • 1999
  • In order to obtain the detailed informations about the lightning electromagnetic fields, the electric and magnetic fields radiated by lightning return strokes were observed with the electric field sensor of hemi-sphere type and the magnetic field sensor of loop type and their physical characteristics were statistically analyzed. The multiple stroke occurrence numbers was 2.6. In multiple lightning strokes the amplitude of peak and the time interval between the subsequent strokes were decreased as the number of the subsequent strokes increases.

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On the Implementation of Fuzzy Arithmetic for Prediction Model Equation of Corrosion Initiation

  • Do Jeong-Yun;Song Hun;Soh Yang-Seob
    • Journal of the Korea Concrete Institute
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    • v.17 no.6 s.90
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    • pp.1045-1051
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    • 2005
  • For critical structures and application, where a given reliability must be met, it is necessary to account for uncertainties and variability in material properties, structural parameters affecting the corrosion process, in addition to the statistical and decision uncertainties. This paper presents an approach to the fuzzy arithmetic based modeling of the chloride-induced corrosion of reinforcement in concrete structures that takes into account the uncertainties in the physical models of chloride penetration into concrete and corrosion of steel reinforcement, as well as the uncertainties in the governing parameters, including concrete diffusivity, concrete cover depth, surface chloride concentration and critical chloride level for corrosion initiation. The parameters of the models are regarded as fuzzy numbers with proper membership function adapted to statistical data of the governing parameters and the fuzziness of the corrosion time is determined by the fuzzy arithmetic of interval arithmetic and extension principle

T-sum of bell-shaped fuzzy intervals

  • Hong, Dug-Hun
    • 한국데이터정보과학회:학술대회논문집
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    • 2006.11a
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    • pp.81-95
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    • 2006
  • The usual arithmetic operations on real numbers can be extended to arithmetical operations on fuzzy intervals by means of Zadeh's extension principle based on a t-norm T. A t-norm is called consistent with respect to a class of fuzzy intervals for some arithmetic operation if this arithmetic operation is closed for this class. It is important to know which t-norms are consistent with a particular type of fuzzy intervals. Recently Dombi and Gyorbiro proved that addition is closed if the Dombi t-norm is used with two bell-shaped fuzzy intervals. A result proved by Mesiar on a strict t-norm based shape preserving additions of LR-fuzzy intervals with unbounded support is recalled. As applications, we define a broader class of bell-shaped fuzzy intervals. Then we study t-norms which are consistent with these particular types of fuzzy intervals. Dombi and Gyorbiro's results are special cases of the results described in this paper.

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Establishment of Zero-Accident Goal Period Based on Time Series Analysis of Accident Tendency (재해율 예측에 근거한 사업장별 무재해 목표시간의 설정)

  • 최승일;임현교
    • Journal of the Korean Society of Safety
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    • v.7 no.2
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    • pp.5-13
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    • 1992
  • If zero-accident movement is to be successful, the objective goal period should be surely obtainable, and much more in our country where frequency rate of injury are remarkably fluc-tuating. However In our country, as far as we know, no method to establish a reasonable zero-accident goal period is guaranteed. In thls paper, a new establishing-method of reasonable goal period for individual industry with considering recent accident trend is presented. A mathematical model for industrial accidents generation was analyzed, and a stochastic process model for the accident generation inteual was formulated. This model could tell the accident generation rate in future by understanding the accident tendency through the time-series analysis and search for the distribution of numbers of accidents and accident interval. On the basis of this, the forecasting method of goal achievement probability by the size and the establishment method of reasonable goal period were developed.

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Efficient methods for integrating weight function: a comparative analysis

  • Dubey, Gaurav;Kumar, Shailendra
    • Structural Engineering and Mechanics
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    • v.55 no.4
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    • pp.885-900
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    • 2015
  • This paper introduces Romberg-Richardson's method as one of the numerical integration tools for computation of stress intensity factor in a pre-cracked specimen subjected to a complex stress field across the crack faces. Also, the computation of stress intensity factor for various stress fields using existing three methods: average stress over interval method, piecewise linear stress method, piecewise quadratic method are modified by using Richardson extrapolation method. The direct integration method is used as reference for constant and linear stress distribution across the crack faces while Gauss-Chebyshev method is used as reference for nonlinear distribution of stress across the crack faces in order to obtain the stress intensity factor. It is found that modified methods (average stress over intervals-Richardson method, piecewise linear stress-Richardson method, piecewise quadratic-Richardson method) yield more accurate results after a few numbers of iterations than those obtained using these methods in their original form. Romberg-Richardson's method is proven to be more efficient and accurate than Gauss-Chebyshev method for complex stress field.

Pressure Drop Predictions Using Multiple Regression Model in Pulse Jet Type Bag Filter Without Venturi (다중회귀모형을 이용한 벤츄리가 없는 충격기류식 여과집진장치 압력손실 예측)

  • Suh, Jeong-Min;Park, Jeong-Ho;Cho, Jae-Hwan;Jin, Kyung-Ho;Jung, Moon-Sub;Yi, Pyong-In;Hong, Sung-Chul;Sivakumar, S.;Choi, Kum-Chan
    • Journal of Environmental Science International
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    • v.23 no.12
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    • pp.2045-2056
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    • 2014
  • In this study, pressure drop was measured in the pulse jet bag filter without venturi on which 16 numbers of filter bags (Ø$140{\times}850{\ell}$) are installed according to operation condition(filtration velocity, inlet dust concentration, pulse pressure, and pulse interval) using coke dust from steel mill. The obtained 180 pressure drop test data were used to predict pressure drop with multiple regression model so that pressure drop data can be used for effective operation condition and as basic data for economical design. The prediction results showed that when filtration velocity was increased by 1%, pressure drop was increased by 2.2% which indicated that filtration velocity among operation condition was attributed on the pressure drop the most. Pressure was dropped by 1.53% when pulse pressure was increased by 1% which also confirmed that pulse pressure was the major factor affecting on the pressure drop next to filtration velocity. Meanwhile, pressure drops were found increased by 0.3% and 0.37%, respectively when inlet dust concentration and pulse interval were increased by 1% implying that the effects of inlet dust concentration and pulse interval were less as compared with those changes of filtration velocity and pulse pressure. Therefore, the larger effect on the pressure drop the pulse jet bag filter was found in the order of filtration velocity($V_f$), pulse pressure($P_p$), inlet dust concentration($C_i$), pulse interval($P_i$). Also, the prediction result of filtration velocity, inlet dust concentration, pulse pressure, and pulse interval which showed the largest effect on the pressure drop indicated that stable operation can be executed with filtration velocity less than 1.5 m/min and inlet dust concentration less than $4g/m^3$. However, it was regarded that pulse pressure and pulse interval need to be adjusted when inlet dust concentration is higher than $4g/m^3$. When filtration velocity and pulse pressure were examined, operation was possible regardless of changes in pulse pressure if filtration velocity was at 1.5 m/min. If filtration velocity was increased to 2 m/min. operation would be possible only when pulse pressure was set at higher than $5.8kgf/cm^2$. Also, the prediction result of pressure drop with filtration velocity and pulse interval showed that operation with pulse interval less than 50 sec. should be carried out under filtration velocity at 1.5 m/min. While, pulse interval should be set at lower than 11 sec. if filtration velocity was set at 2 m/min. Under the conditions of filtration velocity lower than 1 m/min and high pulse pressure higher than $7kgf/cm^2$, though pressure drop would be less, in this case, economic feasibility would be low due to increased in installation and operation cost since scale of dust collection equipment becomes larger and life of filtration bag becomes shortened due to high pulse pressure.

Optimal Spray Time, Interval and Number of Preventive Fungicides for the Control of Fruit Rots of Green and Gold Kiwifruit Cultivars (그린키위와 골드키위 과실무름병 예방약제의 적정 살포시기, 간격 및 횟수)

  • Kim, Gyoung Hee;Lee, Young Sun;Jung, Jae Sung;Hur, Jae-Seoun;Koh, Young Jin
    • Research in Plant Disease
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    • v.19 no.1
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    • pp.1-6
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    • 2013
  • Optimal spray time, interval and number of preventive fungicides against fruit rots of kiwifruit were investigated at the orchard which both green kiwifruit cultivar 'Hayward' and gold kiwifruit cultivar 'Hort16A' are cultivating side by side during 2009 and 2010 growing seasons in Jeju island, Korea. The highest control efficiency was obtained from benomyl WP and followed by thiophanate-methyl WP and carbendazim+diethofencarb WP. The control efficacies of the fungicides were much higher when applied onto the kiwifruit canopy after the flowering time than before the flowering time but thereafter their control efficiencies were decreased drastically according to delays of spray timing. With increasing spray numbers of the fungicides, the control efficacy increased. However, optimal spray time, interval and number of the preventive fungicides for the effective control of fruit rots of kiwifruit were determined as 4 time-spray schedule with 2-week-interval just after the flowering time on both 'Hayward' and 'Hort16A' cultivars.

Optimal Monitoring Frequency Estimation Using Confidence Intervals for the Temporal Model of a Zooplankton Species Number Based on Operational Taxonomic Units at the Tongyoung Marine Science Station

  • Cho, Hong-Yeon;Kim, Sung;Lee, Youn-Ho;Jung, Gila;Kim, Choong-Gon;Jeong, Dageum;Lee, Yucheol;Kang, Mee-Hye;Kim, Hana;Choi, Hae-Young;Oh, Jina;Myong, Jung-Goo;Choi, Hee-Jung
    • Ocean and Polar Research
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    • v.39 no.1
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    • pp.13-21
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    • 2017
  • Temporal changes in the number of zooplankton species are important information for understanding basic characteristics and species diversity in marine ecosystems. The aim of the present study was to estimate the optimal monitoring frequency (OMF) to guarantee and predict the minimum number of species occurrences for studies concerning marine ecosystems. The OMF is estimated using the temporal number of zooplankton species through bi-weekly monitoring of zooplankton species data according to operational taxonomic units in the Tongyoung coastal sea. The optimal model comprises two terms, a constant (optimal mean) and a cosine function with a one-year period. The confidence interval (CI) range of the model with monitoring frequency was estimated using a bootstrap method. The CI range was used as a reference to estimate the optimal monitoring frequency. In general, the minimum monitoring frequency (numbers per year) directly depends on the target (acceptable) estimation error. When the acceptable error (range of the CI) increases, the monitoring frequency decreases because the large acceptable error signals a rough estimation. If the acceptable error (unit: number value) of the number of the zooplankton species is set to 3, the minimum monitoring frequency (times per year) is 24. The residual distribution of the model followed a normal distribution. This model can be applied for the estimation of the minimal monitoring frequency that satisfies the target error bounds, as this model provides an estimation of the error of the zooplankton species numbers with monitoring frequencies.

Scarabs (Coleoptera: Scarabaeidae) in Sweet Persimmon Orchard and Effect on Sweet Persimmon (단감원 풍뎅이의 종류와 단감에 미치는 영향)

  • 이동운;이규철;박정규;추호렬;김영섭
    • Korean journal of applied entomology
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    • v.41 no.3
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    • pp.183-189
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    • 2002
  • Occurrence of scarabs at sweet persimmon (Diospyros kaki var. Fuyu) orchards was investigated by mercury light traps every one week interval in several areas in Gyeongnam province including, Jinju, Sacheon, Sancheong, and Gimhae, from April to September in 2000 and 2001. In addition, damage of persimmon by scarabs was observed every ten days interval at three orchards in Jinju and at one in Gimhae from late May to late October. Although sixteen species of 12 genera were attracted to the traps, species and number of catches were different according to orchards and years. Holotrichia morosa was most dominant in Jinju, Sacheon, and Sancheong. Total number of scarabs attracted to the traps was highest at the orchard surrounded by chestnut orchards in Sancheong. Fruits of sweet persimmon were not damaged by scarabs at the studied orchards. However, leaves and calyxes were slightly damaged by Adoretus tenuimaculatus. Maximum average numbers of the damaged leaves and calyxes throughout the year by A. tenuimaculatus were 0.33 leaves from 10 new shoots and 0.07 calyxes from 15 fruits. Gametis jucunda and Popillia mutans damaged flowers and calyxes. Maximum average numbers of damaged flowers and calyxes by these 2 species were the same as 0.03 from 15 flowers and 15 calyxes, respectively. These levels of damage suggest that the scarabs are not economically injurious to sweet persimmon fruits in Korea.