• Title/Summary/Keyword: analyzing mathematics

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A proposal and analysis of finance evaluation indicators for actuarial review of the national pension (국민연금 재정평가지표의 제안 및 분석)

  • Lee, Hangsuck;Shin, Seunghee
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.1
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    • pp.75-89
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    • 2016
  • This study suggests both modification reserve ratio and cover rate for expenditure as new finance evaluation indicators. Firstly, modification reserve ratio is an evaluation indicator which shows how long can the accumulated reserves at the beginning of the year afford future benefit expenditure. Modification reserve ratio has an advantage both to present what the scale of annual accumulated reserves means and to know the exhaustion speed of accumulated fund through analyzing the trend of modification fund ratio. Secondly, this research classifies resources for expenditures as premium income and reserves, thereafter, presents cover rate for expenditure as finance evaluation indicator. We can know how premium income and reserves can cover future expenditure during the evaluation period, and how deficient are resources through these indices. The researcher anticipates this research to contribute to policy researches for financial stabilization of the national pension scheme.

Synergetics based damage detection of frame structures using piezoceramic patches

  • Hong, Xiaobin;Ruan, Jiaobiao;Liu, Guixiong;Wang, Tao;Li, Youyong;Song, Gangbing
    • Smart Structures and Systems
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    • v.17 no.2
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    • pp.167-194
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    • 2016
  • This paper investigates the Synergetics based Damage Detection Method (SDDM) for frame structures by using surface-bonded PZT (Lead Zirconate Titanate) patches. After analyzing the mechanism of pattern recognition from Synergetics, the operating framework with cooperation-competition-update process of SDDM was proposed. First, the dynamic identification equation of structural conditions was established and the adjoint vector (AV) set of original vector (OV) set was obtained by Generalized Inverse Matrix (GIM).Then, the order parameter equation and its evolution process were deduced through the strict mathematics ratiocination. Moreover, in order to complete online structural condition update feature, the iterative update algorithm was presented. Subsequently, the pathway in which SDDM was realized through the modified Synergetic Neural Network (SNN) was introduced and its assessment indices were confirmed. Finally, the experimental platform with a two-story frame structure was set up. The performances of the proposed methodology were tested for damage identifications by loosening various screw nuts group scenarios. The experiments were conducted in different damage degrees, the disturbance environment and the noisy environment, respectively. The results show the feasibility of SDDM using piezoceramic sensors and actuators, and demonstrate a strong ability of anti-disturbance and anti-noise in frame structure applications. This proposed approach can be extended to the similar structures for damage identification.

A Survey on SW Club Activities in Science Core High Schools (과학중점 고등학교에서의 SW동아리 활동 실태 조사)

  • Lee, Jaeho;Shin, HyunKyung;Park, Hee Gyun
    • Journal of Gifted/Talented Education
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    • v.25 no.6
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    • pp.971-987
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    • 2015
  • This paper aims at analyzing SW club acitivities on the science core high school using information disclosure. Targeting 103 schools across the nation science core high schools, the factors influencing the SW Club was analyzed. And science core high school education plans, business plans and management reports were analyzed in SW club activities. It was the most influencing on the SW club in Creative-Experiential activities organization of computer courses. So computer curriculum reform is urgently needed. SW extra subject activities and funding was having a positive effect. Tuition reimbursement rates was having a negative effect. But academic achievement did not significantly affect. Therefore as many students as possible should be able to assist the SW extra subject activities. And it is required Programs and budget support that reflect the characteristics of local and school. Also, as science core high schools have STEAM education, science, mathematics and technology home economics teachers etc were leading the SW club activities by fusing the their curriculum and SW education. As these activities are consistent with the purpose of SW education, research should be more active autonomic consisting of various teachers.

Weighted L1-Norm Support Vector Machine for the Classification of Highly Imbalanced Data (불균형 자료의 분류분석을 위한 가중 L1-norm SVM)

  • Kim, Eunkyung;Jhun, Myoungshic;Bang, Sungwan
    • The Korean Journal of Applied Statistics
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    • v.28 no.1
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    • pp.9-21
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    • 2015
  • The support vector machine has been successfully applied to various classification areas due to its flexibility and a high level of classification accuracy. However, when analyzing imbalanced data with uneven class sizes, the classification accuracy of SVM may drop significantly in predicting minority class because the SVM classifiers are undesirably biased toward the majority class. The weighted $L_2$-norm SVM was developed for the analysis of imbalanced data; however, it cannot identify irrelevant input variables due to the characteristics of the ridge penalty. Therefore, we propose the weighted $L_1$-norm SVM, which uses lasso penalty to select important input variables and weights to differentiate the misclassification of data points between classes. We demonstrate the satisfactory performance of the proposed method through simulation studies and a real data analysis.

A Study of mathematically gifted elementary students' creativity on dimension based geometry exploring program (차원을 주제로 한 기하탐구프로그램을 통한 초등수학영재학생들의 창의성)

  • Choi, Sung Taek;Lee, Kwang-Ho
    • Education of Primary School Mathematics
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    • v.18 no.1
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    • pp.17-30
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    • 2015
  • The purpose of this study is to identify how developed program influence students' creativity by analyzing creative thinking and creative attitude which is appeared when mathematically gifted students get the program expected to improve their creativity. For the study, the 'dimension based geometry exploring program' was developed that consist of twelve lessons. The main idea of it, is implication of the novel . Through a pre and post-test, students's creativity were measured and compared. The results show significant changes on the scores of creative thinking skills and creative attitudes. As the result, mathematically gifted students' creative thinking skills and creative attitudes were improved by applying the of dimension based geometry exploring program.

A Study on Use of Calculators in the Elementary Math Textbook of U.S. (미국 초등수학교과서의 계산기 활용 실태와 방안에 대한 분석)

  • Ryu, Sung-Rim
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.1-27
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    • 2010
  • This study intends to provide implications about sluggish use of calculators in our case by analyzing the math textbook of U.S. Macmillan/McGraw-Hill along with the tendency of paying more attention to math class using technologies. From the results of analysis, this textbook deals with various methods over around 3.3% of all pages, using calculators across all grades from 1st to 6th grade. In particular, it offers guidance into three types such as 'Choose a Computation Method', 'You can also use a calculator.', and 'TECHNOLOGY LINK', while particularly it is impressive in the perspective of using calculators as one of calculation strategies. And case studies of usage in textbooks describe 8 different perspectives as an example-represent; solve problems or equations; develope or demonstrate conceptual understanding; analyze; compute or estimate; describe, explain or justify; choose appropriate calculation method; determine a calculated answer's reasonableness. Reflecting on the fact that we still use calculators in a passive way, there are considerable implications to us.

A Case Study on the 4-high Skeleton Tower Problem Solutions by the 3rd and 4th Graders in a Gifted Children in Math Selection Test (초등수학영재 선발시험에 응시한 3, 4학년생들의 4층 Skeleton Tower 문제해결에 대한 사례 연구)

  • Kim, Hae-Gyu
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.123-143
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    • 2010
  • The Skeleton Tower problem is an example of a curriculum that integrates algebra and geometry. Finding the number of the cubes in the tower can be approached in more than one way, such as counting arithmetically, drawing geometric diagrams, enumerating various possibilities or rules, or using algebraic equations, which makes the tasks accessible to students with varied prior knowledge and experience. So, it will be a good topic which can be used in the elementary grades if we exclude the method of using algebraic equations. The purpose of this paper is to propose some points which can be considered with attention by gifted children education teachers by analyzing the 4th Skeleton Tower problem solutions made by 3rd and 4th graders in their selection test who applied for the education of gifted children in math at J University for the year of 2010.

Statistical Literacy of Fifth and Sixth Graders for the Data Presentation Task Based on the Speculative Data Generation Process (가상적 자료 생성 과정에 기반을 둔 자료 표현 과제에 대한 초등학교 5, 6학년 학생들의 통계적 소양)

  • Moon, Eun-Hye;Lee, Kwangho
    • Education of Primary School Mathematics
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    • v.21 no.4
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    • pp.397-413
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    • 2018
  • The purpose of this study is to analyze the level of statistical literacy among fifth and sixth graders in the data presentation task based on the speculative data generation process. For the research, the data presentation tasks based on the speculative data generation process was designed and statistical literacy standards for evaluating the student's level was presented based on prior studies. It is meaningful that the stepwise presentation of the students' statistical literacy and analysis of their developmental patterns can help them to find their current position and reach a higher level of performance. In this study, the standard of statistical literacy level was clarified based on the previous research, and a new perspective was presented about the data presentation instruction in the statistical education by analyzing the students' responses by each level.

A new and simple HSDT for thermal stability analysis of FG sandwich plates

  • Menasria, Abderrahmane;Bouhadra, Abdelhakim;Tounsi, Abdelouahed;Bousahla, Abdelmoumen Anis;Mahmoud, S.R.
    • Steel and Composite Structures
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    • v.25 no.2
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    • pp.157-175
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    • 2017
  • The novelty of this work is the use of a new displacement field that includes undetermined integral terms for analyzing thermal buckling response of functionally graded (FG) sandwich plates. The proposed kinematic uses only four variables, which is even less than the first shear deformation theory (FSDT) and the conventional higher shear deformation theories (HSDTs). The theory considers a trigonometric variation of transverse shear stress and verifies the traction free boundary conditions without employing the shear correction factors. Material properties of the sandwich plate faces are considered to be graded in the thickness direction according to a simple power-law variation in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The thermal loads are assumed as uniform, linear and non-linear temperature rises within the thickness direction. An energy based variational principle is employed to derive the governing equations as an eigenvalue problem. The validation of the present work is checked by comparing the obtained results the available ones in the literature. The influences of aspect and thickness ratios, material index, loading type, and sandwich plate type on the critical buckling are all discussed.

The Analysis of the Management Efficiency and Impact Factors of Smart Greenhouse Business Entities - Focusing on the Business Entities of Strawberry Cultivation in Jeolla-do - (스마트온실 경영체의 경영 효율성 및 영향요인 분석 - 전라권 딸기 재배 경영체를 중심으로-)

  • Ha, Ji Young;Lee, Seung Hyun;Na, Myung Hwan;Kim, Deok Hyeon;Lee, Hye Lim;Lee, Yong Gyeon
    • Journal of Korean Society for Quality Management
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    • v.49 no.2
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    • pp.213-231
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    • 2021
  • Purpose: This study intends to provide decision-making information to improve efficiency by analyzing the management efficiency of smart greenhouse business entities and identifying factors that affect the efficiency based on input and output. Methods: The subjects of analysis were business entities for cultivating strawberries in smart greenhouses in Jeolla region (northern and southern Jeolla provinces), and the analysis focused on the management performance of the 2019-2020 crop period (year). Data Envelopment Analysis(DEA) was applied as an analysis method for efficiency analysis, Quantile Regression(QR) analysis was applied as a factor affecting the efficiency. Results: The reason for the efficiency gap between business entities was that there were many business entities that did not minimize the input cost at the current level of output, and the area where the variance among business entities was large was the fixed cost per 10a. In the results of the affecting factor analysis, it was found that the seed-seedlings cost, fertilizer cost, other material cost, and employment and labor cost had a negative (-) effect on the efficiency, and that the repair and maintenance cost had a positive (+) effect. Conclusion: Therefore, to achieve the efficiency of scale, it is necessary to reduce the input scale to an appropriate level. In the case of business entities with low efficiency by quartile, the seed-seedlings, fertilizer, and other material costs reduce expenditures, and repair maintenance costs can improve efficiency by increasing expenditures.