• Title/Summary/Keyword: Complex numbers

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Mixed Reality Visualization of Financial Accounting Data

  • Tanlamai, Uthai;Savetpanuvong, Phannaphatr;Kunarittipol, Wisit
    • Journal of Information Technology Applications and Management
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    • v.18 no.1
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    • pp.1-14
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    • 2011
  • Mixed reality (MR) representation of accounting numbers is used as an alternative way of virtually engaging users of real three dimensional graphics of financialdata. An experiment was conducted to compare the usability and knowledge drawn from utilizing a table of numbers versus MR representations. The results showed that when MR was used, the participants' ratings of the firm's financial status and performance were more congruent with those of experts than when a table was employed. Also, MR was seen as providing less complex information with a shorter amount of time being spent and was perceived as being easy and useful.

COEFFICIENT INEQUALITIES FOR ANALYTIC FUNCTIONS CONNECTED WITH k-FIBONACCI NUMBERS

  • Serap, Bulut;Janusz, Sokol
    • Honam Mathematical Journal
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    • v.44 no.4
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    • pp.521-534
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    • 2022
  • In this paper, we introduce a new class 𝓡kλ(λ ≥ 1, k is any positive real number) of univalent complex functions, which consists of functions f of the form f(z) = z + Σn=2 anzn (|z| < 1) satisfying the subordination condition $$(1-{\lambda}){\frac{f(z)}{z}}+{\lambda}f^{\prime}(z){\prec}{\frac{1+r^2_kz^2}{1-k{\tau}_kz-{\tau}^2_kz^2}},\;{\tau}_k={\frac{k-{\sqrt{k^2+4}}}{2}$$, and investigate the Fekete-Szegö problem for the coefficients of f ∈ 𝓡kλ which are connected with k-Fibonacci numbers $F_{k,n}={\frac{(k-{\tau}_k)^n-{\tau}^n_k}{\sqrt{k^2+4}}}$ (n ∈ ℕ ∪ {0}). We obtain sharp upper bound for the Fekete-Szegö functional |a3-𝜇a22| when 𝜇 ∈ ℝ. We also generalize our result for 𝜇 ∈ ℂ.

Characteristics of the Excavated Fabrics from Papyeung-Yun's Tomb (파평윤씨 묘 출토직물의 제직특성 연구)

  • Cho Hyo-Sook
    • Journal of the Korean Society of Costume
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    • v.56 no.1 s.100
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    • pp.32-43
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    • 2006
  • Excavated fabrics from Papyeung-yun's tomb totals at 208 in their numbers. They comprised 118 pieces of silk tabby(紬), 16 pieces of thin silk tabby, 8 pieces of thin filament silk tabby (絹), 43 pieces of satin damask(段), 8 pieces of compound satin(金線), 1 piece of twill(綾), 1 piece of complex gauze(羅), l piece of simple gauze(紗), 4 pieces of cotton(綿布), 4 pieces of hemp(麻布) and 3 pieces of ramie(苧布). As shown in the preceding list, $95\%$ of all the items are weaved from silk. To list a few characteristics of excavated fabrics from Papyoung-Yun's lineage, there are A vivid gold-colored compound satin, a uniquely patterned satin damask, various silk tabbies, and 4-end complex gauze of Neoul that is women's head cover. To note, names of the fabrics used in this article are based on the information from the literatures and are as following silk tabby(紬), thin silk tabby, filament silk tabby(絹), satin damask(段), compound satin(金線), complex gauze(羅), simple gauze(紗), cotton(綿布), twill(綾), hemp(麻布)and ramie(苧布).

The Study of PM2.5 and Exhaust Emission Characteristics in the Motorcycles according to Various Lubricants (윤활유 종류에 따른 이륜자동차 PM2.5 및 배출가스 특성 연구)

  • Lim, Yunsung;Lee, Jongtae;Park, Jangmin;Kim, Jeongsoo;Lee, Janghoon
    • Transactions of the Korean Society of Automotive Engineers
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    • v.21 no.4
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    • pp.70-76
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    • 2013
  • Because increased food delivery service and quick delivery service using motorcycle, registration numbers of motorcycles were sharply increased and it could contribute on worsening air quality. In this study, two models(50cc, 125cc) of motorcycle were tested by using three types of engine oil. Two motorcycles were tested with CVS-40 mode for emission characteristics such as CO, THC, NOx, Elemental Carbon(EC), Organic Carbon(OC), sulfate, soot and SOF(soluble organic fraction). Result of according to three types of lubricants which included phosphorus, sulfate ash impacted to particle matters so "C" lubricants is more higher PM than "A", "B" lubricants in this research.

Electrochemical Behaviors of Copper-1-(2-pyridylazo)-2-naphthol Complex in Acetonitrile (아세토니트릴 용매 중에서 Copper-1-(2-pyridylazo)-2-naphthol 착물의 전기화학적 성질)

  • Zun-Ung Bae;Sang-O Oh;Hee-Bong Song;Tae-Myung Park
    • Journal of the Korean Chemical Society
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    • v.37 no.10
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    • pp.888-894
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    • 1993
  • The electrochemical behaviors of copper-1-(2-pyridylazo)-2-naphthol(Cu-PAN) complex in acetonitrile (AN) solution have been investigated by the use of cyclic voltammetry, DC-polarography, controlled potential coulometry and UV-Vis spectroscopy. Cu-PAN complex in acetonitrile exhibit three reduction waves at -1.27 V, -1.64 V and -2.08 V vs. Ag/AgNO$_3$(AN). The numbers of electron involved in each reduction step was calculated with controlled potential coulometry, and reduction product was identified with UV-Vis spectrum. As the result, we proposed the reduction mechanism of the Cu-PAN complex in acetonitrile.

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NMR Studies of Ni-binding Luteinizing Hormone Releasing Hormone

  • Kim, Jin;Won, Ho-Shik
    • Journal of the Korean Magnetic Resonance Society
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    • v.13 no.2
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    • pp.143-153
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    • 2009
  • Luteinizing Hormone Releasing Hormone (LHRH) is composed of 10 amino acids, and is best known as a neurotransmitter. Because of the 80% homology in animals, much more concerns have focused on the substances that have similar functions or can control LHRH. Ni, Cu-LHRH complexes were synthesized. The degree of complexation was monitored by $^1H,\;^{13}C$-NMR chemical shifts, and final products were identified by ESI-Mass spectrum. Solution-state structure determination of Ni-LHRH complex was accomplished by using NMR results and NMR-based distance geometry (DG). Interproton distances from nuclear Overhauser effect spectroscopy (NOESY) were utilized for the molecular structure determination. Results were compared with previous structures obtained from energy minimization and other spectroscopic methods. Structure obtained in this study has a cyclic conformation which is similar to that of energy minimized, and exhibits a specific a-helical turn with residue numbers (2~7) out of 10 amino acids. Comparison of chemical shifts and EPR studies of Ni, Cu-LHRH complexes exhibit that Ni-LHRH complex has same binding sites with the 4-coordination mode as in Zn-LHRH complex.

Analysis of Microsatellite Patterns in the Genome of Red Sea Cucumber (홍해삼 유전체 분석에 의한 microsatellite의 분포도 연구)

  • Lee, Tae Wook;Kim, Sam Woong;Kim, Jung Sun;Chi, Won-Jae;Bang, Woo Young;Kim, Jang Hyeon;Yang, Chul Woong;Bang, Kyu Ho;Gal, Sang Wan
    • Journal of Life Science
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    • v.32 no.9
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    • pp.690-697
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    • 2022
  • This study was conducted to analyze genome of red sea cucumber and to use it as basic data for the development of genetic markers for red sea cucumber. Microsatellite marker analysis of Ulleungdo_normal and Ulleungdo_native red sea cucumbers revealed that dinucleotide simple sequence repeats (SSRs) had the highest ratio, at 81.3~81.4%, and the number of the detected SSRs tended to decrease as the number of repeating sequence units in SSRs increased. In general, microsatellites with between 5 and 10 iterations were most common. As the size of the SSR repeating sequence units increased, the SSR iterations gradually decreased. The di-, tri-, and tetra-nucleotides in SSRs were detected in the highest numbers as (AT)5, (AAT)5, and (AAAT)5, respectively. (CG) and (CCG) had very low frequencies compared to the numbers of other repeating SSR units. The numbers of di-and tri-nucleotide repeats were up to 35 and 32, respectively, and then increased discontinuously up to 44 and 43 repeats, respectively. Tetra-, penta-, and hexa-nucleotides in SSRs occurred in numbers up to 25, 21 and 14, respectively. This analysis of red sea cucumber indicated that it maintains its own repetition sequence and repetition number; therefore, we suggest that using it as basic data for molecular marker will be possible in future research.

STRUCTURE OF THE ZEROS OF q-BERNOULLI POLYNOMIALS

  • RYOO C. S.
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.49-58
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    • 2005
  • In this paper we observe the structure of the roots of q-Bernoulli polynomials, ${\beta}_n(w,h{\mid}q)$, using numerical investigation. By numerical experiments, we demonstrate a remarkably regular structure of the real roots of ${\beta}_n(w,h{\mid}q)$ for $-{\frac{1}{5}},-{\frac{1}{2}}$. Finally, we give a table for numbers of real and complex zeros of ${\beta}_n(w,h{\mid}q)$.

Design of Reed Solomon Decoder for Optical Disks (광학식 디스크를 위한 Reed Solomon 복호기 설계)

  • 김창훈;박성모
    • Proceedings of the IEEK Conference
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    • 2000.06b
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    • pp.262-265
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    • 2000
  • This paper describes design of a (32, 28) Reed Solomon decoder for optical compact disk provides double error detecting and correcting capability. The most complex circuit in the RS decoder is part for solving the error location numbers from error location polynomial, and the circuit has great influence on overall decoder complexity. We use RAM based architecture with Euclid algorithm, Chien search algorithm and Forney algorithm. We have developed VHDL model and Performed logic synthesis using the SYNOPSYS CAD tool. Then, the RS decoder has been implemented with FPGA. The total umber of gate is about 11,000 gates and it operates at 20MHz.

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PROPERTIES OF HYPERHOLOMORPHIC FUNCTIONS IN CLIFFORD ANALYSIS

  • Lim, Su Jin;Shon, Kwang Ho
    • East Asian mathematical journal
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    • v.28 no.5
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    • pp.553-559
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    • 2012
  • The noncommutative extension of the complex numbers for the four dimensional real space is a quaternion. R. Fueter, C. A. Deavours and A. Subdery have developed a theory of quaternion analysis. M. Naser and K. N$\hat{o}$no have given several results for integral formulas of hyperholomorphic functions in Clifford analysis. We research the properties of hyperholomorphic functions on $\mathbb{C}^2{\times}\mathbb{C}^2$.