• 한국수학교육학회지시리즈A:수학교육
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• 제57권3호
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• pp.311-328
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• 2018

In school mathematics, the concept of an average is not a concept that is limited to a unit of statistics. In particular, high school students will learn about arithmetic mean and geometric mean in the process of learning absolute inequality. In calculus learning, the concept of average is involved when learning the concept of average speed. The arithmetic mean is the same as the procedure used when students mean the test scores. However, the procedure for obtaining the geometric mean differs from the procedure for the arithmetic mean. In addition, if the arithmetic mean and the geometric mean are the discrete quantity, then the mean rate of change or the average speed is different in that it considers continuous quantities. The average concept that students learn in school mathematics differs in the quantitative nature of procedures and objects. Nevertheless, it is not uncommon to find out how students construct various mathematical concepts into mathematical knowledge. This study focuses on this point and conducted the interviews of the students(three) in the second grade of high school. And the expression of students in the process of average concept formation in arithmetic mean, geometric mean, average speed. This study can be meaningful because it suggests practical examples to students about the assertion that various scholars should experience various properties possessed by the average. It is also meaningful that students are able to think about how to construct the mean conceptual properties inherent in terms such as geometric mean and mean speed in arithmetic mean concept through interview data.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제18권1호
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• pp.31-40
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• 2014

Working with dynamic visual representations can help students-with-computer discover new mathematical ideas. Students translate among multiple representations as a strategy to investigate non-routine problems to explore possible solutions in mathematics classrooms. In this paper, we use the area models as new representations for our secondary students to investigate three problems related to the average speed of a particle. Students show their ideas in the process of investigating arithmetic mean, harmonic mean, and average speed through their created dynamic figures. These figures really utilize dynamic geometry software.

• East Asian mathematical journal
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• 제35권1호
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• pp.59-66
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• 2019

In this paper we study implicit-explicit (IMEX) methods combined with a semi-Lagrangian scheme to evaluate the prices of fixed strike arithmetic Asian options under jump-diffusion models. An Asian option is described by a two-dimensional partial integro-differential equation (PIDE) that has no diffusion term in the arithmetic average direction. The IMEX methods with the semi-Lagrangian scheme to solve the PIDE are discretized along characteristic curves and performed without any fixed point iteration techniques at each time step. We implement numerical simulations for the prices of a European fixed strike arithmetic Asian put option under the Merton model to demonstrate the second-order convergence rate.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2005년도 춘계학술대회논문집
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• pp.291-294
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• 2005

In this study, we compared and analyzed the floor impact sound insulation performance produced by the rating methods. The rating methods are using reversed A-weighting curve, A-weighted sound pressure levels and arithmetic average. On-site floor impact sound pressure levels of living room and room are measured. The results of this study are 1)the rating using reversed A-weighting curve for heavy-weight impact sound's standard deviation is lower than that of light-weight impact sound, 2)the number of rating using A-weighted sound pressure levels and arithmetic average is larger than that of using reversed A-weighting curve, and 3)the number of rating using reversed A-weighting curve mainly depends on impact sound pressure level of 63Hz in heavy-weight impact sound.

• International Journal of Computer Science & Network Security
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• 제22권11호
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• pp.338-347
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• 2022

The current study aimed to identify the reality of the transitional services provided to people with intellectual disabilities from the parent's point of view. The results indicated an average level, with an arithmetic mean (3.66) of the reality of transitional services provided to students with intellectual disabilities through the response of the study participants to the questionnaire consisting of (20) items. The dimension (social and societal skills) ranked first with an arithmetic average (4.03) with a high degree, through the response of the participants in the study to the items of the dimension consisting of (10) items. It was followed by the dimension (self-determination skills) with an arithmetic average of (3.29) to a medium degree, through the response of the participants in the study to the items of the dimension consisting of (10) items. The researchers recommend the necessity of joint planning by all relevant authorities, to solve the legal, societal, technical, and administrative problems and challenges that impede the provision of transitional services for students with intellectual disabilities.

• 한국물환경학회지
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• 제27권5호
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• pp.597-604
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• 2011

This research analyzed the runoff patterns and estimated unit loads of selected pollutatnts using monitored data conducted for three years in a bridge area. Three estimating methods; the arithmetic average method, the regression method and the rainfall class method were used to estimate the unit load. Results of three estimating methods were compared with the unit pollutant loads from landuses in Korea and the unit pollutant loads from urban watersheds in Milwaukee, USA. Unit load using the arithmetic mean method were found to be overestimated. In terms of TSS, unit loads of two estimate were half lower than that of USA. Estimated TN and TP unit loads of three estimate were lower than that of Ministry of Environment in Korea.

• 한국수자원학회논문집
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• 제48권9호
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• pp.757-768
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• 2015

최근 기후변화는 짧은 시간의 지역적인 집중호우와 예상치 못한 폭우에 영향을 미치고 이는 생명과 재산의 손실에 영향을 준다. 본 연구에서는 침수위험도를 결정하기 위한 방법으로 산술평균방법, 가중평균방법, 주성분 분석방법을 이용하여 침수위험도에 따른 순위를 결정하였다. 재해연보 및 도시계획 현황에서 선택한 인자들에 대한 표준화를 통해 단위를 통일시켰으며 표준화를 통한 산술평균방법, 상관관계분석을 통한 가중평균방법, 상관도가 높은 인자들을 묶어 분석한 주성분 분석방법을 통해 침수위험도를 결정하고 그 순위를 나타내었다. 본 연구에서 사용된 산술평균방법의 경우 간단하기는 하지만 각각의 인자들이 동일한 가중치를 가지는 문제점이 있고 가중평균 방법의 경우 각각의 인자들이 다른 가중치를 갖기는 하지만 많은 변수들 때문에 변수들 간의 상관관계가 복잡해지는 문제점이 있다. 이러한 문제점을 극복하기 위해 주성분 분석방법을 사용하였으며 각 지역의 수방능력 및 재해위험을 고려한 침수위험도를 결정하였다.

• Industrial Engineering and Management Systems
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• 제2권1호
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• pp.63-70
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• 2003

In this study, we employed an arithmetic process (AP) approach to resolve gearbox maintenance problems. The approach is realistic and direct in modelling the characteristics of a deteriorating system such as a gearbox since a decreasing AP can model a gearbox's successive operating times and an increasing AP can model the corresponding consecutive repair times. First of all, two test statistics were used to check whether the process is arithmetic or not. Next, model parameters of the AP were estimated using the simple linear regression method. Finally, the optimal replacement policy based on minimising the long-run average cost per day was determined for each type of gearbox.

• Journal of Multimedia Information System
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• 제5권4호
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• pp.273-276
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• 2018

In video compression standards, the entropy coding is essential to the high performance compression because redundancy of data symbols is removed. Binary arithmetic coding is one of high performance entropy coding methods. However, the dependency between consecutive binary symbols prevents improving the throughput. For the throughput enhancement, a new probability model is proposed for encoding multi-symbols at one time. In the proposed method, multi-symbol encoder is implemented with only adders and shifters, and the multiplication table for interval subdivision of binary arithmetic coding is removed. Compared to the compression ratio of CABAC of H.264/AVC, the performance degradation on average is only 1.4% which is negligible.

• Communications for Statistical Applications and Methods
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• 제19권3호
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• pp.367-379
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• 2012

야구경기에서 순위를 예측하는 것은 야구팬들에게 관심의 대상이 된다. 이러한 순위를 예측하기 위해서 2011년 한국프로야구 기록 자료를 바탕으로 산술평균방법, 가중평균방법, 주성분분석방법, 주성분회귀분석 방법을 제시한다. 표준화를 통한 산술평균, 상관계수를 이용한 가중평균과 주성분 분석을 이용해서 순위를 예측하고, 최종모형으로 주성분회귀분석 모형이 선택되었다. 주성분 분석으로 축약된 변수를 이용해서 회귀분석을 실시하여, 투수부분, 타자부분, 투수와 타자부분의 순위예측 모형을 제안한다. 예측된 회귀모형을 통해서 2012년도 순위 예측이 가능하다.