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Analysis of the Sixth Graders' Strategies and Errors of Division-With-Remainder Problems (나머지가 있는 나눗셈 문장제에 대한 초등학교 6학년 학생들의 해결 전략 및 오류 분석)

  • Ha, Mihyun;Chang, Hyewon
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.4
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    • pp.717-735
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    • 2016
  • For teaching division-with-remainder(DWR) problems, it is necessary to know students' strategies and errors about DWR problems. The purpose of this study is to investigate and analyze students' strategies and errors of DWR problems and to make some meaningful suggestions for teaching various methods of solving DWR problems. We constructed a test which consists of fifteen DWR problems to investigate students' solving strategies and errors. These problems include mathematical as well as syntactic structures. To apply this test, we selected 177 students from eight elementary schools in various districts of Seoul. The results were analyzed both qualitatively and quantitatively. The sixth graders' strategies can be classified as follows : Single strategies, Multi strategies and Assistant strategies. They used Division(D) strategy, Multiplication(M) strategy, and Additive Approach(A) strategy as sub-strategies. We noticed that frequently used strategies do not coincide with strategies for their success. While students in middle group used Assistant strategies frequently, students in higher group used Single strategies frequently. The sixth graders' errors can be classified as follows : Formula error(F error), Calculation error(C error), Calculation Product error(P error) and Interpretation error(I error). In this study, there were 4 elements for syntaxes in problems : large number, location of divisor and dividend, divisor size, vocabularies. When students in lower group were solving the problems, F errors appeared most frequently. However, in case of higher group, I errors appeared most frequently. Based on these results, we made some didactical suggestions.

A Study to Rethink the Components of Teaching Korean Genitive Particle '의': Based on the Errors in Korean Learners' Corpus (한국어 학습자 대상 관형격 조사 '의'의 교육 내용 재고: 학습자 말뭉치에 나타난 오류를 바탕으로)

  • Soo-Hyun Lee;Ji-Young Sim
    • Journal of the Korean Society of Industry Convergence
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    • v.26 no.3
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    • pp.443-454
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    • 2023
  • The purpose of this study is to reveal the Korean learners' usage pattern of '의', the genitive particle, according to semantic classification, so that it can be referred to in determining the contents and methods of related education. The method of this study adopts a quantitative analysis using learners corpus established by National Institute of Korean Language. As a result of the analysis, as proficiency increases, the overall frequency of '의' increases and the number of meaning senses used increases. However, the frequency of errors also increases with it. As for the usage pattern of each sense, the meaning of 'ownership, belonging' is the most frequent, and followed by 'acting entity', 'kinship, social relations', and 'relationship(area)'. In conclusion, the meanings of 'acting subjects' and 'relationships(area) need to be supplemented with explicit education. Other meanings need to be discussed, and decisions should be made in consideration of learning purpose and proficiency.

Improved TOA-Based Localization Method with BS Selection Scheme for Wireless Sensor Networks

  • Go, Seungryeol;Chong, Jong-Wha
    • ETRI Journal
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    • v.37 no.4
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    • pp.707-716
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    • 2015
  • The purpose of a localization system is to estimate the coordinates of the geographic location of a mobile device. The accuracy of wireless localization is influenced by nonline-of-sight (NLOS) errors in wireless sensor networks. In this paper, we present an improved time of arrival (TOA)-based localization method for wireless sensor networks. TOA-based localization estimates the geographic location of a mobile device using the distances between a mobile station (MS) and three or more base stations (BSs). However, each of the NLOS errors along a distance measured from an MS (device) to a BS (device) is different because of dissimilar obstacles in the direct signal path between the two devices. To accurately estimate the geographic location of a mobile device in TOA-based localization, we propose an optimized localization method with a BS selection scheme that selects three measured distances that contain a relatively small number of NLOS errors, in this paper. Performance evaluations are presented, and the experimental results are validated through comparisons of various localization methods with the proposed method.

Score Image Retrieval to Inaccurate OMR performance

  • Kim, Haekwang
    • Journal of Broadcast Engineering
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    • v.26 no.7
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    • pp.838-843
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    • 2021
  • This paper presents an algorithm for effective retrieval of score information to an input score image. The originality of the proposed algorithm is that it is designed to be robust to recognition errors by an OMR (Optical Music Recognition), while existing methods such as pitch histogram requires error induced OMR result be corrected before retrieval process. This approach helps people to retrieve score without training on music score for error correction. OMR takes a score image as input, recognizes musical symbols, and produces structural symbolic notation of the score as output, for example, in MusicXML format. Among the musical symbols on a score, it is observed that filled noteheads are rarely detected with errors with its simple black filled round shape for OMR processing. Barlines that separate measures also strong to OMR errors with its long uniform length vertical line characteristic. The proposed algorithm consists of a descriptor for a score and a similarity measure between a query score and a reference score. The descriptor is based on note-count, the number of filled noteheads in a measure. Each part of a score is represented by a sequence of note-count numbers. The descriptor is an n-gram sequence of the note-count sequence. Simulation results show that the proposed algorithm works successfully to a certain degree in score image-based retrieval for an erroneous OMR output.

An optimal codebook design for multistage gain-shape vector quantizer using genetic algorithms (유전알고리즘에 의한 다단 gain-shape 양자화기의 최적 코드북 설계)

  • 김대진;안선하
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.1
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    • pp.80-93
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    • 1997
  • This paper proposes a new technique of optimal codebook design in multistage gain-shape vector quantization (MS-GS VQ) for wireless image communication. An original image is divided into a smany blocks as possible in order to get strong robustness to channel transmission errors: the original image is decomposed into a number of subband images, each of which contains a sperate spatial frequency information and is obtained by the biorthogonal wavlet transform; each subband is separated into several consecutive VQ stages, where each stage has a residual information of the previous stage; one vector in each stage is divided into two components-gain and shape. But, this decomposition genrates too many blocks and it thus makes the determination of optimal codebooks difficult. We overcome this difficulty by evolving each block's codebook independently with different genetic algorithm that uses each stage's individual training vectors. Th eimpact of th eproposed VQ technique on the channel transmission errors is compared with that of other VQ techniques. Simulation results show that the proposed VQ technique (MS-GS VQ) with the optimal codebook designe dy genetic algorithms is very robust to channel transmission errors even under the bursty and high BER conditions.

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Application of the Combined Techniques for Reliability Improvement on Machine Design Process: Case Study (기계설계 과정의 신뢰성 향상을 위한 혼합 기법 응용: 사례연구)

  • Choi, Jang-Jin;Lim, Ik-Sung;Koo, Il-Sub;Park, Sung-Jun;Kim, Tae-Sung
    • Journal of Applied Reliability
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    • v.14 no.1
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    • pp.71-80
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    • 2014
  • In the mechanical design process various types of errors are bound to occur. In order to prevent such mechanical malfunctions and decrease number of instances of errors, various technique are utilized. The purpose of this research is to demonstrate the effectiveness of the combined service Blueprint and FMEA (Failure Mode and Effect Analysis) by applying such method to machine process. The results are as follows: First, modification can be obtained by discovering the failure mode hidden within the inner side of the blueprint. Second, issues within the company are found when conducting the machine design process that is not visible from the outside. Therefore, potential errors can be effectively resolved by preventing failure mode in advance and eventually high quality of the product could be obtained as well as its reliability.

Efficiency of Angular Spectrum Method for Analysis of Acoustic Fields in Water (수중 초음파 음장해석에 있어서 각스펙트럼법의 유효성 검토)

  • Kim, Jung-Soon;Kim, Moo-Joon;Ha, Kang-Lyeol
    • The Journal of the Acoustical Society of Korea
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    • v.16 no.5
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    • pp.105-111
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    • 1997
  • Before application of the angular spectrum method to calculate acoustic fields in stratified water, its efficiencies and errors were analyzed by using a virtual boundary in homogeneous water. As the results, it was confirmed that the angular spectrum method was able to calculate an acoustic field rapidly though some errors due to the limitation of reference field size and number of data in FFT ware included. A modified method combined the angular spectrum with Lommel's approximation, which was newly proposed in this paper, was useful to reduce the errors.

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The Influence of Weight Adjusting Method and the Number of Hidden Layer있s Node on Neural Network있s Performance (인공 신경망의 학습에 있어 가중치 변화방법과 은닉층의 노드수가 예측정확성에 미치는 영향)

  • 김진백;김유일
    • The Journal of Information Systems
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    • v.9 no.1
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    • pp.27-44
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    • 2000
  • The structure of neural networks is represented by a weighted directed graph with nodes representing units and links representing connections. Each link is assigned a numerical value representing the weight of the connection. In learning process, the values of weights are adjusted by errors. Following experiment results, the interval of adjusting weights, that is, epoch size influenced neural networks' performance. As epoch size is larger than a certain size, neural networks'performance decreased drastically. And the number of hidden layer's node also influenced neural networks'performance. The networks'performance decreased as hidden layers have more nodes and then increased at some number of hidden layer's node. So, in implementing of neural networks the epoch size and the number of hidden layer's node should be decided by systematic methods, not empirical or heuristic methods.

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One-way ANOVA Analysis to Verify the Effect of Hybrid Strength Estimators by Number of Measurements (일원분석을 통한 하이브리드 추정계의 측정횟수별 영향검증)

  • Han, Soo-Hwan;Hu, Yun-Yao;Kim, Su-Ho;Lim, Gun-Su;Kim, Jong;Han, Min-Cheol
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2022.04a
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    • pp.37-38
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    • 2022
  • This study is attempted to propose an appropriate number of measurements by checking and statistically analyzing the change in hardness according to the number of measurements. As a result, there was no significant difference between the 20th and 30th data, and in the 10th case, the effect on errors occurring during measurement was found to be dominant. Therefore, as the number of measurements, proposing 20 times in consideration of the convenience of use. In addition, in order to minimize the effect on the measurement error, it is proposed to remeasure the surface mane of the measurement surface and the test value in which the error occurs on the average of the test values.

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Clinical Features of Retinal Correspondence according to Refractive Errors and Deviation Angles (굴절이상과 편위각에 따른 망막대응의 임상적 고찰)

  • Wi, Dae-Gwang;Joo, Seok-Hee;Lee, Koon-Ja;Leem, Hyun-Sung
    • Journal of Korean Ophthalmic Optics Society
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    • v.15 no.4
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    • pp.367-372
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    • 2010
  • Purpose: The purpose of this study was to provide useful information for evaluating the sensory function of patients with strabismus by identifying the distribution of anomalous retinal correspondence (ARC) and normal retinal correspondence (NRC) by the degree of refractive errors and deviation angles. Methods: Objective refraction (AR/K, Cannon RK-F1, Japan) and subjective refraction tests were performed on 56 subjects (male: 26, female: 30) by an examiner; objective deviation angle was measured using synoptophore (OCULUS Synoptophore, Germany) with subject' eyes fully corrected for distance, and then subjective deviation angle was measured. Results: In all groups with refractive errors, the number of ARC was larger than that of NRC(67%). Particularly, it was largest in groups with myopia (71%), and in all groups, the number of UARC was larger than that of HARC. In groups with anisometropia, although the numbers of NRC and ARC were same, the number of UARC was larger than that of HARC as in other groups. In the distribution of NRC and ARC by deviation angle, the number of NRC was larger than that of ARC (46%) only at microstrabismus (0 ~ ${\pm}10{\triangle}$). Conclusions: Normal retinal correspondence were the most emmetropia in the retinal response were much higher than in the more hyperopia than the retinal correspondence were more myopia. In addition, the smaller the angle of retinal correspondence Normal over many, but overall, respectively.