• Journal of Engineering Education Research
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• v.14 no.2
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• pp.30-39
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• 2011

There is a problem that some spoken words are not consistent with the written words when Arabic numerals in Korean language are read. Since some rules for reading the Arabic numerals are not clear, the numerals should be read carefully by recognizing the position of the numbers in sentence, the relationship of the numerals with measurement nouns and other writing elements, and context. In view of technical writing, this work is to appreciate some rules for writing Korean numerals in place of Arabic numerals by studying the works regarding numerals, classifiers and measurement nouns.

• Research in Mathematical Education
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• v.9 no.3 s.23
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• pp.243-256
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• 2005

Abacus numerals were developed using the concept of the binary system to form decimal numerals. This would allow addition, subtraction, multiplication, and division to be performed based solely on the knowledge of the 14 forms of the numerals and three simple rules. These numerals were taught to 260 elementary school pupils of 3rd and 4th grade. After 90 minutes of instruction, they, nearly all, were able to understand principles to add, and to subtract, and partly to multiply using Abacus Numerals. Protected Abacus Numerals are proposed against forgery. An International Numeration System is proposed based on the form of Abacus Numerals to facilitate international communication. A new type of abacus is proposed.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1998.10a
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• pp.609-615
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• 1998

In this paper, we propose efficient total recognition system of handwritten and printed numerals for enhancing the classification time. The proposed system consist two step neuroclassifier: Printed numerals classifier and Handwritten numerals classifier. The performance of the propose classifier was tested on 5000 handwritten numerals database of NIST and 100 printed numerals database. In case of handwritten classifier, the overall classification times were 11 second. And in case of proposed system, the overall classification times were reduced by...

• Journal of the Korean Institute of Intelligent Systems
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• v.9 no.5
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• pp.517-525
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• 1999

In this paper, we propose efficient total recognition system of handwritten and printed numerals for reducing the classification time. The proposed system consists of two-step neuroclassifier : Printed numerals classifier and handwritten numerals classifier. In the proposed scheme, the printed numerals classifier classifies the printed numerals rapidly with single MLP neural network by low-order feature vector and rejects handwritten numerals. The handwritten numerals classifier classifies the handwritten numerals which is rejected in printed numerals classifier with modularized cluster neural network by complex feature vector. In order to verify the performance of the proposed method,handwritten numerals database of NIST and printed numerals database which include various fonts are used in the experiments. In case of using the proposed classifier, the overall classification time was reduced by 49.1% - 65.5% in comparison of the existent handwritten classifier.

• Proceedings of the IEEK Conference
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• 2000.11c
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• pp.33-36
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• 2000

In this paper, we describe a study on the spotting and recognition of handwritten numerals using neural networks. To recognize a handwritten numeral, two kinds of neural network classifiers ate developed. One makes use of the positive samples only, while the other does both of the positive and negative samples. We propose two numeral spotters which discriminate between numerals and non-numerals. Those are also implemented by using neural networks. From the various experimental results, we found that our methods can be successfully applied to spot and recognize handwritten numerals.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.9 no.7
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• pp.1607-1615
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• 2005

This Paper describes the implementation methods of MLP (mulilayer perceptrons) neural networks to recognize or reject handwritten numerals and non-nummerals. The MLP has known to be a very efficient classifier to recognize handwritten numerals in terms of recognition accuracy, speed, and memory requirements. In the previous researches, however, researchers have focused on the only numeral inputs and have not payed attention to the non-numeral inputs with respect to recognition accuracy, rejection rates, and other characteristics. In this paper, we present some implementation methods of the MLP in the environments that numeral and non-numerals are mixed. The MLPs have been developed by three methods, and investigated with three error types introduced. The experiments have been conducted on a total of 66,701 images of numerals and non-numerals. The promising method to recognize numerals and reject non-numerals has been described in terms of the three error types.

• Proceedings of the IEEK Conference
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• 1999.11a
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• pp.1007-1010
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• 1999

This paper describes the recognition of totally unconstrained handwritten numerals using neural networks. Neural networks with multiple output nodes have been successfully used to classify complex handwritten numerals. The recognition system consists of the preprocessing stage to extract features using Kirsch mask and the classification stage to recognize the numerals using the fully-connected recurrent neural networks (RNN). Simulation results with the numeral database of Concordia university, Montreal, Canada, are presented. The recognition system proposed in this paper outperforms other recognition systems reported on the same database.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• v.9 no.2
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• pp.1119-1122
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• 2005

This paper describes the implementation methods of the MLP (mulilayer perteptrons) recognizers for numerals and non-nummerals. The MLP has known to be a very efficient classifier to recognize handwritten numerals in terms of recognition accuracy, speed, and memory requirements. The MLP in the previous researches, however, focuses on the only numeral inputs and does not pay attention to non-numeral inputs with respect to recognition accuracy, rejection rates, and other characteristics. In this paper, we present some implementation methods of the MLP in the environments that numeral and non-numerals are mixed. The MLP had been developed by three methods, and investigated with three error types introduced. The experiments had been conducted on a total of about 63,000 numerals and non-numerals. The promising method to recognize numeral and non-numerals is described in terms of the three error types.

• Journal of KIISE:Software and Applications
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• v.27 no.5
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• pp.563-574
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• 2000

Recognition of numeral fields is a very important task for many document automation applications. Conventional methods are based on the two-steps process, segmentation of touching numerals and recognition of the individual numerals. However, due to a large variation of touching types this approach has not produced a robust result. In this paper, we present a new segmentation-free method for recognizing the two touching numerals. In this approach, two touching numerals are regarded as a single pattern coming from 100 classes ('00', '01', '02', ..., '98', '99'). For the test set, we manually extract two touching numerals from the data set of NIST numeral fields. Due to the limitation of conventional neural network in case of large-set classification, we use a modular neural network and Drove its superiority through recognition experimen.

• The Mathematical Education
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• v.49 no.1
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• pp.39-51
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• 2010

The purpose of this article is to study students' responses to non-routine problems which are presented by using solely numerals or symbolic figures. Such figures have no mathematical meaning but just symbolical meaning. Most students understand geometric figures more concrete objects than numerals because geometric figures such as circles and squares can be visualized by the manipulatives in real life. And since students need not consider (unvisible) any operational structure of numerals when they deal with (visible) figures, problems proposed using figures are considered relatively easier to them than those proposed using numerals. Under this assumption, we analyze students' problem solving processes of numeral problems and figural problems, and then find out when students' difficulties arise in the problem solving process and how they response when they feel difficulties. From this experiment, we will suggest several comments which would be considered in the development and application of both numerical and figural problems.