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ON A CLASS OF ANALYTIC FUNCTION RELATED TO SCHWARZ LEMMA

  • Ornek, Bulent Nafi
    • The Pure and Applied Mathematics
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    • v.29 no.1
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    • pp.113-124
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    • 2022
  • In this paper, we plan to introduce the class of the analytic functions called 𝒫 (b) and to investigate the various properties of the functions belonging this class. The modulus of the second coefficient c2 in the expansion of f(z) = z+c2z2+… belonging to the given class will be estimated from above. Also, we estimate a modulus of the second angular derivative of f(z) function at the boundary point 𝛼 with f'(𝛼) = 1 - b, b ∈ ℂ, by taking into account their first nonzero two Maclaurin coefficients.

Performance Degradation of RF SOI MOSFETs in LNA Design Guide Line (RF SOI MOSFETs의 성능저하에 의한 LNA 설계 가이드 라인)

  • Ohm, Woo-Yong;Lee, Byung-Jin
    • 전자공학회논문지 IE
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    • v.45 no.2
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    • pp.1-5
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    • 2008
  • In this work, RF performance degradation due to hot carrier effects in SOI MOSFET have been measured and analyzed. The LNA that designed at $V_{GS}=0.8V$, f=2.5GHz, gain is 16.51dB and noise figure is 1.195dB. After stress at SOI, the LNA's gain and noise figure change of 15.3dB and 1.44dB with before stress.

A Study on the Daily Probability of Rainfall in the Taegu Area according to the Theory of Probaility (대구지방(大邱地方)의 확률일우량(確率日雨量)에 관(關)한 연구(硏究))

  • Kim, Young Ki;Na, In Yup
    • Economic and Environmental Geology
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    • v.4 no.4
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    • pp.225-234
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    • 1971
  • With the advance of civilization and steadily increasing population rivalry and competition for the use of the sewage, culverts, farm irrigation and control of various types of flood discharge have developed and will be come more and more keen in the future. The author has tried to calculated a formula that could adjust these conflicts and bring about proper solutions for many problems arising in connection with these conditions. The purpose of this study is to find out effective sewage, culvert, drainage, farm irrigation, flood discharge and other engineering needs in the Taegu area. If demands expand further a new formula will have to be calculated. For the above the author estimated methods of control for the probable expected rainfall using a formula based on data collected over a long period of time. The formula is determined on the basis of the maximum daily rainfall data from 1921 to 1971 in the Taegu area. 1. Iwai methods shows a highly significant correlation among the variations of Hazen, Thomas, Gumbel methods and logarithmic normal distribution. 2. This study obtained the following major formula: ${\log}(x-2.6)=0.241{\xi}+1.92049{\cdots}{\cdots}$(I.M) by using the relation $F(x)=\frac{1}{\sqrt{\pi}}{\int}_{-{\infty}}^{\xi}e^{-{\xi}^2}d{\xi}$. ${\xi}=a{\log}_{10}\(\frac{x+b}{x_0+b}\)$ ($-b<x<{\infty}$) ${\log}(x_0+b)=2.0448$ $\frac{1}{a}=\sqrt{\frac{2N}{N-1}}S_x=0.1954$. $b=\frac{1}{m}\sum\limits_{i=1}^{m}b_s=-2.6$ $S_x=\sqrt{\frac{1}{N}\sum\limits^N_{i=1}\{{\log}(x_i+b)\}^2-\{{\log}(x_0+b)\}^2}=0.169$ This formule may be advantageously applicable to the estimation of flood discharge, sewage, culverts and drainage in the Taegu area. Notation for general terms has been denoted by the following. Other notations for general terms was used as needed. $W_{(x)}$ : probability of occurranec, $W_{(x)}=\int_{x}^{\infty}f_{(n)}dx$ $S_{(x)}$ : probability of noneoccurrance. $S_{(x)}=\int_{-\infty}^{x}f_(x)dx=1-W_{(x)}$ T : Return period $T=\frac{1}{nW_{(x)}}$ or $T=\frac{1}{nS_{(x)}}$ $W_n$ : Hazen plot $W_n=\frac{2n-1}{2N}$ $F_n=1-W_x=1-\(\frac{2n-1}{2N}\)$ n : Number of observation (annual maximum series) P : Probability $P=\frac{N!}{{t!}(N-t)}F{_i}^{N-t}(1-F_i)^t$ $F_n$ : Thomas plot $F_n=\(1-\frac{n}{N+1}\)$ N : Total number of sample size $X_l$ : $X_s$ : maximum, minumum value of total number of sample size.

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ON EQUIVALENT NORMS TO BLOCH NORM IN ℂn

  • Choi, Ki Seong
    • Journal of the Chungcheong Mathematical Society
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    • v.19 no.4
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    • pp.325-334
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    • 2006
  • For $f{\in}L^2(B,d{\nu})$, ${\parallel}f{\parallel}_{BMO}=\widetilde{{\mid}f{\mid}^2}(z)-{\mid}{\tilde{f}}(z){\mid}^2$. For f continuous on B, ${\parallel}f{\parallel}_{BO}=sup\{w(f)(z):z{\in}B\}$ where $w(f)(z)=sup\{{\mid}f(z)-f(w){\mid}:{\beta}(z,w){\leq}1\}$. In this paper, we will show that if $f{\in}BMO$, then ${\parallel}f{\parallel}_{BO}{\leq}M{\parallel}f{\parallel}_{BMO}$. We will also show that if $f{\in}BO$, then ${\parallel}f{\parallel}_{BMO}{\leq}M{\parallel}f{\parallel}_{BO}^2$. A homomorphic function $f:B{\rightarrow}{\mathbb{C}}$ is called a Bloch function ($f{\in}{\mathcal{B}}$) if ${\parallel}f{\parallel}_{\mathcal{B}}=sup_{z{\in}B}\;Qf(z)$<${\infty}$. In this paper, we will show that if $f{\in}{\mathcal{B}}$, then ${\parallel}f{\parallel}_{BO}{\leq}{\parallel}f{\parallel}_{\mathcal{B}}$. We will also show that if $f{\in}BMO$ and f is holomorphic, then ${\parallel}f{\parallel}_{\mathcal{B}}^2{\leq}M{\parallel}f{\parallel}_{BMO}$.

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FUNCTIONAL RELATIONS INVOLVING SRIVASTAVA'S HYPERGEOMETRIC FUNCTIONS HB AND F(3)

  • Choi, Junesang;Hasanov, Anvar;Turaev, Mamasali
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.2
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    • pp.187-204
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    • 2011
  • B. C. Carlson [Some extensions of Lardner's relations between $_0F_3$ and Bessel functions, SIAM J. Math. Anal. 1(2) (1970), 232-242] presented several useful relations between Bessel and generalized hypergeometric functions that generalize some earlier results. Here, by simply splitting Srivastava's hypergeometric function $H_B$ into eight parts, we show how some useful and generalized relations between Srivastava's hypergeometric functions $H_B$ and $F^{(3)}$ can be obtained. These main results are shown to be specialized to yield certain relations between functions $_0F_1$, $_1F_1$, $_0F_3$, ${\Psi}_2$, and their products including different combinations with different values of parameters and signs of variables. We also consider some other interesting relations between the Humbert ${\Psi}_2$ function and $Kamp\acute{e}$ de $F\acute{e}riet$ function, and between the product of exponential and Bessel functions with $Kamp\acute{e}$ de $F\acute{e}riet$ functions.

Genetic Analysis of Days to Flowering in Korean Hot Pepper (한국 건고추 개화소요일수의 유전 분석)

  • Soh, Jae-Woo;Lee, Yong-Beom;Nam, Sang-Yong
    • Horticultural Science & Technology
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    • v.31 no.1
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    • pp.89-94
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    • 2013
  • This study was carried out to calculate the genic values of days for flowering in commercial breeding lines of Korean hot pepper (Capsicum annuum L.). Two breeding lines of pepper '#2132' ($P_1$) early-flowering, and '#1308' ($P_2$) medium-late flowering, and their $F_1$ and $F_2$ generations were used in this study. By using partitioning method (Thseng and Hosokawa, 1971, 1972), it was possible to estimate, from the $F_2$ generations, the number of effective factor pairs differentiating the two parents. It was found out that the two parents were differentiated by two effective factor pairs, A:a and B:b. In the breeding lines used, the inheritance of days to flowering showed that the $F_1$ flowered a little earlier than the earlier flowering parent through the effect of over-dominance. However, $F_2$ flowered earlier or later than both parents through transgressive segregation. Conclusively, the magnitude of genic effects of A-a gene in flowering days was -13.81 days, and B-b gene was -6.73 days. The interaction between the two non-allelic factors using partitioning method was -5.26 days.

Development of a Multiplex PCR Method to Detect Fungal Pathogens for Quarantine on Exported Cacti

  • Cho, Hyun ji;Hong, Seong Won;Kim, Hyun-ju;Kwak, Youn-Sig
    • The Plant Pathology Journal
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    • v.32 no.1
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    • pp.53-57
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    • 2016
  • Major diseases in grafted cacti have been reported and Fusarium oxysporum, Bipolaris cactivora, Phytophthora spp. and Collectotrichum spp. are known as causal pathogens. These pathogens can lead to plant death after infection. Therefore, some European countries have quarantined imported cacti that are infected with specific fungal pathogens. Consequently, we developed PCR detection methods to identify four quarantined fungal pathogens and reduce export rejection rates of Korean grafted cacti. The pathogen specific primer sets F.oF-F.oR, B.CF-B.CR, P.nF-P.nR, and P.cF-P.CR were tested for F. oxysporum, B.cactivora, P. nicotinae, and P. cactorum, respectively. The F.oF-F.oR primer set was designed from the Fusarium ITS region; the B.CF-B.CR and P.nF-P.nR primers respectively from Bipolaris and Phytophthora ITS1; and the P.cF-P.CR primer set from the Ypt1protein gene region. The quarantine fungal pathogen primer pairs were amplified to the specific number of base pairs in each of the following fungal pathogens: 210-bp (F. oxysporum), 510-bp (B. cactivora), 313-bp (P. nicotinae), and 447-bp (P. cactorum). The detection limit for the mono- and multiplex PCR primer sets was 0.1 ng of template DNA under in vitro conditions. Therefore, each primer set successfully diagnosed contamination of quarantine pathogens in export grafted cacti. Consequently, our methodology is a viable tool to screen contamination of the fungal pathogen in exported grafted cacti.

Food and Beverage Marketing Mix in The Hotels (관광호텔 식음료상품 마케팅믹스에 관한 연구)

  • 하경희
    • Culinary science and hospitality research
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    • v.5 no.1
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    • pp.175-204
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    • 1999
  • Today, the hotel industry in a whole are facing serious problems with a number of reasons. To overcome this situation, Customer-Oriented Marketing is considered to be a solution for the hotel F & B management, due to the potential of F & B department. The main purpose of this study was to present the Food and Beverage Marketing Mix Strategies suitable for the market characteristics. To achieve the purpose of this study, theoretical and empirical approaches were used. In review of theoritical background, basic concepts and characteristics of hotel F & B, hotel F & B marketing environment, and hotel F & B marketing mix were studied. Based on the theoritical studies and previous studies, F & B marketing mix sub-components were chosen. In this research, F & B 5P's and 1I marketing mix are discussed, they are Product, Price, Promotion, People, Physical evidence and Image. Through the survey, a number of important segment markets are emerged, which lead to essential segment markets ; business, conference and leisure market. F & B marketing mix strategies as follows. First, for the physical evidence mix, to build up the position as deluxe hotels, it is necessary to matte an investment in technical and decorative components. Second, for the people mix, to assure the service quality, the education and training programs for employee are required. Third, for the image mix, to ensure the image of hotel brand strength, the consideration for public area layout, restaurant and bar ambience, and green policy are required. Fourth, for the product and price mix, to differentiate the F & B, it is necessary to offer thorned and ethnic cuisine, and signature restaurants. Fifth, for the promotion mix, to attract more cumstomers, creative and various promotion activities, and long-term investment in customer-oriented marketing are required. There were some limitations in this study. That is, most of hotels don't operate the concrete and effective F & B marketing, have difficulty in getting data base for F & B customer. Despite their limitations, this study add some values to hotel F & B management in that it introduce the service marketing mix strategies to hotel F & B marketing.

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ON SPECIAL CONFORMALLY FLAT SPACES WITH WARPED PRODUCT METRICS

  • Kim, Byung-Hak;Lee, Sang-Deok;Choi, Jin-Hyuk;Lee, Young-Ok
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.497-504
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    • 2011
  • In 1973, B. Y. Chen and K. Yano introduced the special conformally flat space for the generalization of a subprojective space. The typical example is a canal hypersurface of a Euclidean space. In this paper, we study the conditions for the base space B to be special conformally flat in the conharmonically flat warped product space $B^n{\times}_fR^1$. Moreover, we study the special conformally flat warped product space $B^n{\times}_fF^p$ and characterize the geometric structure of $B^n{\times}_fF^p$.

TOEPLITZ TYPE OPERATOR IN ℂn

  • Choi, Ki Seong
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.4
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    • pp.697-705
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    • 2014
  • For a complex measure ${\mu}$ on B and $f{\in}L^2_a(B)$, the Toeplitz operator $T_{\mu}$ on $L^2_a(B,dv)$ with symbol ${\mu}$ is formally defined by $T_{\mu}(f)(w)=\int_{B}f(w)\bar{K(z,w)}d{\mu}(w)$. We will investigate properties of the Toeplitz operator $T_{\mu}$ with symbol ${\mu}$. We define the Toeplitz type operator $T^r_{\psi}$ with symbol ${\psi}$, $$T^r_{\psi}f(z)=c_r\int_{B}\frac{(1-{\parallel}w{\parallel}^2)^r}{(1-{\langle}z,w{\rangle})^{n+r+1}}{\psi}(w)f(w)d{\nu}(w)$$. We will also investigate properties of the Toeplitz type operator with symbol ${\psi}$.