• Title/Summary/Keyword: P/Q-

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p-ADIC q-HIGHER-ORDER HARDY-TYPE SUMS

  • SIMSEK YILMAZ
    • Journal of the Korean Mathematical Society
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    • v.43 no.1
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    • pp.111-131
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    • 2006
  • The goal of this paper is to define p-adic Hardy sums and p-adic q-higher-order Hardy-type sums. By using these sums and p-adic q-higher-order Dedekind sums, we construct p-adic continuous functions for an odd prime. These functions contain padic q-analogue of higher-order Hardy-type sums. By using an invariant p-adic q-integral on $\mathbb{Z}_p$, we give fundamental properties of these sums. We also establish relations between p-adic Hardy sums, Bernoulli functions, trigonometric functions and Lambert series.

Power Analysis for Normality Plots (정규성 그래프의 검정력 비교)

  • Lee, Jae-Young;Rhee, Seong-Won
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.2
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    • pp.429-436
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    • 1999
  • We suggest test statistics for normality using Q-Q plot and P-P plot and obtain empirical quantities of these statistics. Also the power comparison with Shapiro-Wilk's W is conducted by Monte Carlo study.

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Genetic Change from Colorectal Carcinoma Patients Using Comparative Genomic Hybridization (비교유전자교잡법을 이용한 대장암환자에서의 유전자변화)

  • Lee, Jae Sik
    • Korean Journal of Clinical Laboratory Science
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    • v.47 no.4
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    • pp.209-215
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    • 2015
  • Colorectal carcinoma is one of the four major cancers in Korea, and it shows the tendency of increase every year due to economic development and changes to western styles. Accordingly, various diagnostic methods are needed and so comparative genomic hybridization (CGH) was performed. Deletion was detected on 5q (10%), 10q (17%), 17p (40%), 18p (23%), 18q (47%), 22q (23%), and higher deletion loci were 18q (12/30, 47%), 17p (12/30, 40%), and 22q (7/30, 23%). Amplification was shown on chromosomes 6pq (10%), 7p (17%), 7q (33%), 8q (13%), 9pq (10%), 12q (17%), 13q (37%), 20p (23%), and 20q (57%) respectively. The highest amplification was detected on chromosomes 20q (17/30, 57%), 13q (11/30, 37%), and 7q (10/30, 33%). The genetic change pattern with the locus of colorectal carcinoma was shown mean 3.1 (amplification 1.7, deletion 1.4) on the right colorectal carcinoma, while rectal carcinoma appeared high mean 6.3 (amplification 3.7, deletion 2.6) (p<0.001). The genetic change pattern with lymphatic gland metastasis, mean 3.5 (amplification 2.2, deletion 1.3) from "no metastasis" group, while high mean 6.3 (amplification 3.5, deletion 2.8) from metastasis group (p<0.003). The genetic change pattern with disease stages appeared mean 3.5 (amplification 2.1, deletion 1.4) from I-II stages, while high mean 6.0 (amplification 3.4, deletion 2.6) from III-IV stages (p<0.006). No significance was observed in comparing histological classification and serum CEA increased groups.

The Capacity of Core-Net : Multi-Level 2-Layer Neural Networks (2층 다단 신경망회로 코어넷의 처리용량에 관한 연구)

  • Park, Jong-Jun
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.8
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    • pp.2098-2115
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    • 1999
  • One of the unsolved problems in Neural Networks is the interpretation of hidden layers. This paper defines the Core-Net which has an input(p levels) and an output(q levels) with 2-layers as a basic circuit of neural network. In have suggested an equation, {{{{ {a}_{p,q} = {{q}^{2}} over {2}p(p-1)- { q} over {2 } (3 { p}^{2 } -7p+2)+ { p}^{2 }-3p+2}}}}, whichs ws the capacity of the Core-Net and have proved it by using the mathematical induction. It has been also shown that some of the problems with hidden layers can be solved by using the Core-Net and using simulation of an example.

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A Study on the Attenuation of High-frequency P and S Waves in the Crust of the Southeastern Korea using the Seismic Data in Deok-jung Ri (덕정리 지진자료를 이용한 한국남동부지역 지각의 P, S파 감쇠구조 연구)

  • Chung, Tae-Woong;Sato, Haruo
    • Journal of the Korean Geophysical Society
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    • v.3 no.3
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    • pp.193-200
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    • 2000
  • The attenuation characteristics($Q^{-1}$) are important factors representing the physical properties of the Earth interiors, and are essential for the quantitative prediction of strong ground-motion. Based on 156 earthquakes including 76 single-station record on the seismic station located Deok-jung Ri, southeastern Korea, we made the simultaneous measurement of P and S wave attenuation($Q_P^{-1}\;and\;Q_S^{-1}$) by means of extended coda-normalization method. Estimated $Q_P^{-1}\;and\;Q_S^{-1}$ decreased from $1{\times}10^{-2}\;and\;9{\times}10^{-3}$ at 1.5 Hz to $6{\times}10^{-4}\;and\;5{\times}10^{-4}$ at 24 Hz, respectively. This can be expressed by $Q_P^{-1}=0.01\;f^{-1.07}\;and\;Q_S^{-1}=0.01\;f^{-1.03}$ which indicate strong frequency dependence.

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Algorithm to decide Minimum New Store Positioning with Maximum Competitiveness (최대 경쟁력을 갖는 최소 신설 점포위치 결정 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.19 no.2
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    • pp.203-209
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    • 2019
  • We will be establish the new $q(1{\leq}q{\leq}p-1)$ stores of firm $F_B$ to gain pop/(p+q) over rival firm $F_A$ that has already operate with p stores in a city of population pop. Han proposes inclusion-exclusion algorithm(IEA) that searches maximal pop top 5 location and select the maximum location take account of locate variation with increasing of $q=1,2,{\cdots},p-1$. This paper reduced the orignal graph into partial graph initially and search only q=1 node continually reduced in accordance with increasing $q=1,2,{\cdots},p-1$. If the final result is shown in the case of steel customer between q, the q locations farther separate in order to improve of solution. For the eleven experimental data, this algorithm is a relative simplicity and more optimal solution than Han's IEA.

Neutralization of Alkaline Wastewater with CO2 in a Continuous Flow Jet Loop Reactor (연속흐름형 Jet loop reactor에서 CO2를 이용한 알칼리폐수의 중화)

  • Kang, Dae-Yeop;Kim, Mi-Ran;Lim, Jun-Heok;Lee, Tae-Yoon;Lee, Jea-Keun
    • Korean Chemical Engineering Research
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    • v.54 no.1
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    • pp.101-107
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    • 2016
  • This paper investigates the feasibility of applying the jet loop reactor for the neutralization of alkaline wastewater using carbon dioxide ($CO_2$). In this study, pH changes and $CO_2$ removal characteristics were examined by changing influent flow rate of alkaline wastewater (initial pH=10.1) and influent $CO_2$ flow rates. Influent flow rates of alkaline wastewater ($Q_{L,in}$) ranged between 0.9 and 6.6 L/min, and inlet gas flow rate ($Q_{G,in}$) of 1 and 6 L/min in a lab-scale continuous flow jet loop reactor. The outlet pH of wastewater was maintained at 7.2 when the ratio ($Q_{L,in}/Q_{G,in}$) of $Q_{L,in}$ and $Q_{G,in}$ was 1.1. However, the $CO_2$ removal efficiency and the outlet pH of wastewater were increased when $Q_{L,in}/Q_{G,in}$ ratio was higher than 1.1. Throughout the experiments, the maximum $CO_2$ removal efficiency and the outlet pH of wastewater were 98.06% and 8.43 at the condition when $Q_{G,in}$ and $Q_{L,in}$ were 2 L/min and 4 L/min, respectively.

q-DEDEKIND-TYPE DAEHEE-CHANGHEE SUMS WITH WEIGHT α ASSOCIATED WITH MODIFIED q-EULER POLYNOMIALS WITH WEIGHT α

  • Seo, Jong Jin;Araci, Serkan;Acikgoz, Mehmet
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.1
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    • pp.1-8
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    • 2014
  • Recently, q-Dedekind-type sums related to q-Euler polynomials was studied by Kim in [T. Kim, Note on q-Dedekind-type sums related to q-Euler polynomials, Glasgow Math. J. 54 (2012), 121-125]. It is aim of this paper to consider a p-adic continuous function for an odd prime to inside a p-adic q-analogue of the higher order Dedekind-type sums with weight related to modified q-Euler polynomials with weight by using Kim's p-adic q-integral.

Effects of pH and Light Irradiation on Coenzyme Q10 Production Using Rhodobacter sphaeroides

  • Jeong, Soo-Kyoung;Dao, Van Thingoc;Kien, Ngyuen;Kim, Joong-Kyun
    • Fisheries and Aquatic Sciences
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    • v.11 no.4
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    • pp.219-223
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    • 2008
  • To increase the level of $CoQ_{10}$ production in mass culture, the effects of pH and light irradiation on $CoQ_{10}$ production by Rhodobacter sphaeroides were investigated in a 1-L bioreactor. $CoQ_{10}$ production was growth-associated, and the highest production of $CoQ_{10}$ (1.69 mg/g dry cell) was obtained under uncontrolled pH: this production was 1.7 times higher than that obtained at controlled pH 7. Therefore, pH was a key factor affecting $CoQ_{10}$ production. The effect of light irradiation on $CoQ_{10}$ production was negligible. This result offers an advantage for mass production of $CoQ_{10}$.