• Title/Summary/Keyword: School Complex

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ON THE GROWTH OF ALGEBROID SOLUTIONS OF ALGEBRAIC DIFFERENTIAL EQUATIONS

  • Manli Liu;Linlin Wu
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.3
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    • pp.597-610
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    • 2024
  • Using the Nevanlinna value distribution theory of algebroid functions, this paper investigates the growth of two types of complex algebraic differential equation with algebroid solutions and obtains two results, which extend the growth of complex algebraic differential equation with meromorphic solutions obtained by Gao [4].

A Large Trans/cis Conversion Ratio In Redox-Conjugated Single-Light Reversible Isomerization of a Cobalt Complex with meta-Bipyridylazobenzene Ligands

  • Kume, Shoko;Kurihara, Masato;Nishihara, Hiroshi
    • Journal of the Korean Electrochemical Society
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    • v.5 no.4
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    • pp.189-191
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    • 2002
  • Reversible trans-cis isomerization of meta-bipyridylazobenzene coordinated to cobalt was achieved by a combination of photoirradiation with a single UV light source and a Co(II)/Co(III) redox reaction. The trans/cis conversion performance was significantly improved in the meta-form compared with the meta-form ligated to cobalt.

ON MEROMORPHIC SOLUTIONS OF NONLINEAR PARTIAL DIFFERENTIAL-DIFFERENCE EQUATIONS OF FIRST ORDER IN SEVERAL COMPLEX VARIABLES

  • Qibin Cheng;Yezhou Li;Zhixue Liu
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.2
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    • pp.425-441
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    • 2023
  • This paper is concerned with the value distribution for meromorphic solutions f of a class of nonlinear partial differential-difference equation of first order with small coefficients. We show that such solutions f are uniquely determined by the poles of f and the zeros of f - c, f - d (counting multiplicities) for two distinct small functions c, d.

Complex number on textbooks and Analysis on understanding state of students (교과서에 표현된 복소수와 이에 대한 학생들의 이해 실태 분석)

  • Park, Seon-Ho;Pyo, Sung-Soo
    • The Mathematical Education
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    • v.51 no.1
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    • pp.1-19
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    • 2012
  • In this study, contents of 'the 2007 revised curriculum handbook' and 16 kinds of mathematics textbooks were analyzed first. The purpose of this study is to examine the understanding state of students at general high schools by making questionnaires to survey the understanding state on contents of chapter of complex number based on above analysis. Results of research can be summarized as follows. First, the content of chapter of complex number in textbook was not logically organized. In the introduction of imaginary number unit, two kinds of marks were presented without any reason and it has led to two kinds of notation of negative square root. There was no explanation of difference between delimiter symbol and operator symbol at all. The concepts were presented as definition without logical explanations. Second, students who learned with textbook in which problems were pointed out above did not have concept of complex number for granted, and recognized it as expansion of operation of set of real numbers. It meant that they were confused of operation of complex numbers and did not form the image about number system itself of complex number. Implications from this study can be obtained as follows. First, as we came over to the 7th curriculum, the contents of chapter of complex number were too abbreviated to have the logical configuration of chapter in order to remove the burden for learning. Therefore, the quantitative expansion and logical configuration fit to the level for high school students corresponding to the formal operating stage are required for correct configuration of contents of chapter. Second, teachers realize the importance of chapter of complex number and reconstruct the contents of chapter to let students think conceptually and logically.

Morphological multivariate analyses of Isodon excisus complex (Lamiaceae) in Korea

  • Kim, Sang-Tae;Ma, Youn-Ju
    • Korean Journal of Plant Taxonomy
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    • v.41 no.3
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    • pp.223-229
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    • 2011
  • The taxonomy of the Isodon excisus complex has been ambiguous and problematic because the morphological characters, especially characters related to the leaf distinguishing subgroups of the complex in the original descriptions, are variable. To elucidate the taxonomic structure of the I. excisus complex in Korea, 34 characters were measured from 70 OTUs representing different locations and analyzed by principal component analysis (PCA). The analysis showed that principle component axis 1, 2, 3 (PC1, PC2, PC3) represents 52.0% of the total variance and characters showing high loading values for PC1 were leaf shape, density of non-glandular hairs on the lower surface of the leaf, and characters related to the teeth of the leaf. The length of apical tooth and the angle between two widest points of the leaf were highly correlated to PC2 and PC3, respectively. Three-dimensional scatter plotting of OTUs for PC1, PC2, and PC3 axis showed that the areas of previously recognized three subgroups of I. excisus completely overlapped. Our result supported that just one taxon, I. excisus var. excisus, should be recognized in the complex at the variety level.

Effect of Arrangement of Design Elements on Recognition of Complex Signs

  • Ishihara, Maki;Okada, Akira;Yamashita, Kuniko
    • Journal of the Ergonomics Society of Korea
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    • v.26 no.4
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    • pp.143-146
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    • 2007
  • Due to the expansion of cities and the increasing number of large-scale and complex public spaces, there is an increase in public signage. Moreover, the information described on these signs tends to be diverse and complicated. Complex signs that contain multiple destinations or other information must be considered to determine not only the proper size, color, etc. but also the most effective arrangement of design elements. In the previous research, the cognitive utility of complex public signs was estimated using computer simulation software. In the current research, we focused on the objective estimation of the effectiveness of the results obtained in the previous research utilizing an eye mark recording system. Two cognitive engineering experiments clarified five points for improvement in the usability of complex signs, as follows: 1) Parallel construction of characters and pictograms is more efficient. 2) Grouping elements result in rapid recognition of information chunks. 3) Visual characters and pictograms are effective, along with proper density of information. 4) Specific arrangement of sign arrows is effective. 5) Figures on signs influence the sequence of information searches.

Fourth Recurrence of Cardiac Myxoma in a Patient with the Carney Complex

  • Kwon, O Young;Kim, Gun Jik;Jang, Woo Sung;Lee, Young Ok;Cho, Jun Yong;Lee, Jong Tae
    • Journal of Chest Surgery
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    • v.49 no.2
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    • pp.119-121
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    • 2016
  • Although cardiac myxoma is the most commonly encountered benign cardiac tumor in cardiac surgery practice, recurrent cardiac myxoma is very rare, is most commonly related to the Carney complex, and usually requires multiple cardiac operations with specific requirements in terms of perioperative management. In this report, we describe a patient who experienced the fourth recurrence of cardiac myxoma and review the diagnostic criteria of the Carney complex. This is the first report of such a case in Korea.