• Bulletin of the Korean Mathematical Society
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• v.43 no.1
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• pp.189-212
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• 2006

Let $F^{\alpha}G$ be a twisted group algebra with basis ${{\mu}g|g\;{\in}\;G}$ and $P\;=\;{C_g|g\;{\in}\;G}$ be a partition of G. A projective class algebra associated with P is a subalgebra of $F^{\alpha}G$ generated by all class sums $\sum\limits{_{x{\in}C_g}}\;{\mu}_x$. A main object of the paper is to find interrelationships of projective class algebras in $F^{\alpha}G$ and in $F^{\alpha}H$ for H < G. And the a-spherical function will play an important role for the purpose. We find functional properties of a-spherical functions and investigate roles of $\alpha-spherical$ functions as characters of projective class algebras.

• Korean Journal of Mathematics
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• v.17 no.1
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• pp.43-52
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• 2009

The Galois ring is a finite extension of the ring of integers modulo a prime power. We consider characters on Galois rings. In analogy with finite fields, we investigate complete Gauss sums over Galois rings. In particular, we analyze [1, Proposition 3] and give some lemmas related to [1, Proposition 3].

• Korean Journal of Mathematics
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• v.26 no.3
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• pp.519-535
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• 2018

Let ${\mathcal{R}}$ denote the Galois ring of characteristic $p^n$, where p is a prime. In this paper, we investigate the elementary properties of Gauss sums over ${\mathcal{R}}$ in accordance with conditions of characters of Galois rings, and we restate results for Gauss sums in [1, 2, 3, 7, 12, 13]. Also, we compute the modulus of the Gauss sums.

• Korean Journal of Mathematics
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• v.6 no.2
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• pp.319-322
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• 1998

For an M-group G, it is shown that a normal subgroup of G whose order is coprime to its index is an M-group.

• Korean Journal of Mathematics
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• v.30 no.1
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• pp.25-42
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• 2022

In this paper, we derive analogues of a couple of classes of infinite series identities with the confluent hypergeometric functions involving Dirichlet characters.

• Journal of Digital Convergence
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• v.19 no.5
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• pp.397-405
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• 2021

The purpose of this study is to organize the system of special characters as UX/UI icon design elements, thus laying the groundwork for improvement direction for unclear use regulations. This study examines the theoretical background of UX/UI design and special characters and discovers UX/UI design and special characters' relations and assignments. Besides, the case study summarizes the system of special characters being utilized in the company's UX/UI icon design guidelines to produce the study results. As a result of the analysis, the special character types being utilized in UX/UI were graphic characters, mathematical symbols, punctuation marks, and parentheses. And the special characters commonly used in analysis cases, iOS, Android, and Windows, are ▶, ♥, ★, ○, ⊙, +, ×, ⋯. So this study organizes the common characters to standardize them. Hopefully, this study contributes to increasing the interest in the study of 'special characters' in the UX/UI design field and helps establish a framework for future industrial standards.

• Journal of Educational Research in Mathematics
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• v.8 no.2
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• pp.679-690
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• 1998

I wish to search for educational alternatives which improve students' mathematical creativity. As the first attempt for this, theories of general creativity and characters of mathematical creativity are discussed. And four factors( teacher variables. student variables, teaching and learning variables. environment variables) affecting mathematical creativity are analyzed. It is a educational well-known fact that students should think creatively and solve the problems for themselves. We postulate the fact that students' mathematical creativity can be developed. I think it is a mission and a duty for mathematics educators to develop the students' mathematical creativity fully. Mathematics educators should search for the methods which encourage the students to have mathematical creativity and should develop them.

• The Mathematical Education
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• v.59 no.2
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• pp.131-146
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• 2020

Regarding the formula for measuring the area of a circle, the Archimedes' constant is generally written in front of the square of radius length, but there were a few cases where the Archimedes' constant was written after that in Germany and France. In this study, two things are studied: First, how many students are writing the Archimedes' constant after that? Second, what do the students think about the written order of characters in the formula for measuring the area of a circle? In the online survey of 201 people aged 14 to 21 in Korea, there was a perception of more than 86% that both are possible or only after that are possible. In this study, it is suggested that there is a difference between the general written order of characters and the natural perception of students formed through school education. In addition, students aged 14 to 16 thought more that the Archimedes' constant should be written after that, and after that age, there was a greater perception that both are possible without confusion of meaning. It can be seen that the change in students' perception has emerged through school education on natural mathematical written order of characters after middle school courses. From this point of view, the most common perception can be that if there is no confusion in meaning, then both expressions are possible.

• Journal for History of Mathematics
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• v.29 no.3
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• pp.147-155
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• 2016

Ancient books from East Asia, especially, Korea, China and Japan, are all written in Chinese. Ancient mathematical books like 九章算術(Gujang Sansul in Korean sound, Jiuzhang Suanshu in Chinese) is not exceptional and also was written in Chinese. The book 九章算術音義(Gujang Sansul Eumeui in Korean, Jiuzhang Suanshu Yinyi in Chinese), a dictionary-like book on 九章算術was published by official 李籍(Lǐ Jí) of 唐(Tang) dynasty (AD 618-907). We discuss how to pronounce Chinese characters based on 九章算術音義. To do so, we compare the pronunciation of the characters used in the words which are explained in 九章算術音義, to those of the current Korean and Chinese. Surprisingly, the pronunciations of the Chinese characters are almost all accordant with those of both Korean and Chinese.

• Proceedings of the KIEE Conference
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• 1995.07b
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• pp.965-967
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• 1995

One of the most difficult tasks in the process of automatic vehicle license plate recognition is the extraction of each character from within license plate region. In many cases, characters, especially serial numbers of plates are connected together due to noise and plate accessories. The recognition process may not be successful without extracting these characters effectively. This paper presents an algorithm to extract these connected characters very effectively. The algorithm utilizes mathematical morphology, connected component analysis, and gradient filters for character extraction. The paper also presents thorough experimental results as well as details of the algorithm.