• Journal of the Korean Statistical Society
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• 제30권1호
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• pp.115-125
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• 2001

We consider the threshold autoregressive moving average(TARMA) process and find a sufficient condition for strict stationarity of the proces. Given region for stationarity of TARMA(p,q) model is the same as that of TAR(p) model given by Chan and Tong(1985), which shows that the moving average part of TARMA(p,q) process does not affect the stationarity of the process. We find also a sufficient condition for the existence of kth moments(k$\geq$1) of the process with respect to the stationary distribution.

• 대한수학회보
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• 제53권5호
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• pp.1291-1308
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• 2016

In this paper we obtain the closed forms of some hypergeometric functions. As an application, we obtain the explicit forms of the Bergman kernel functions for intersection of two complex ellipsoids {$z{\in}\mathbb{C}^3:{\mid}z_1{\mid}^p+{\mid}z_2{\mid}^q$ < 1, ${\mid}z_1{\mid}^p+{\mid}z_3{\mid}^r$ < 1}. We consider cases p = 6, q = r = 2 and p = q = r = 2. We also investigate the Lu Qi-Keng problem for p = q = r = 2.

• Journal of the Korean Statistical Society
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• 제21권1호
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• pp.47-58
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• 1992

The autocorrelation function structures of bilinear time series model BL(p, q, r, s), $r \geq s$ are obtained and shown to be analogous to those of ARMA(p, l), l=max(q, s). Simulation studies are performed to investigate the adequacy of Akaike information criteria for identification between ARMA(p, l) and BL(p, q, r, s) models and for determination of orders of BL(p, q, r, s) models. It is suggested that the model of having minimum Akaike information criteria is selected for a suitable model.

• 충청수학회지
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• 제27권3호
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• pp.427-431
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• 2014

In this paper, we show that groups of order $2^npq$, where p, q are primes of the from $p=2^n-1$, $q=2^{n-1}+p$ with $n{\geq}3$, are not simple and groups of order $2^npq^t$ for $t{\geq}2$, where p, q are odd primes of the form $p=2^m-1$, $q=2^n-1$ with m < n, are not simple.

• 대한수학회보
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• 제60권3호
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• pp.775-783
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• 2023

Van Hamme's (G.2) supercongruence modulo p⁴ for primes p ≡ 3 (mod 4) and p > 3 was first established by Swisher. A q-analogue of this supercognruence was implicitly given by the first author and Schlosser. In this paper, we present a new q-analogue of Van Hamme's (G.2) supercongruence for p ≡ 3 (mod 4).

• 대한수학회보
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• 제33권1호
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• pp.39-44
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• 1996

Throughout this paper $Z^p, Q_p$ and C_p$ will denote the ring of p-adic rational integers, the field of p-adic rational numbers and the completion of the algebraic closure of $Q_p$, respectively. Let $v_p$ be the normalized exponential valuation of $C_p$ with $$\mid$p$\mid$_p = p^{-v_p (p)} = p^{-1}$. We set $p^* = p$ for any prime p > 2 $p^* = 4 for p = 2$.

• Clinical and Experimental Reproductive Medicine
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• 제46권3호
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• pp.112-118
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• 2019

Objective: Oxidative stress contributes to male infertility, and antioxidants have been recommended for treating idiopathic oligoasthenoteratozoospermia (OAT). There is, however, a lack of agreement on the type, dosing, and use of individual antioxidants or combinations thereof. The purpose of this study was to compare the effects of two doses of coenzyme Q10 (CoQ10) on semen parameters and antioxidant status in men with idiopathic OAT. Methods: In this prospective study, patients with idiopathic OAT received 200 mg/day (n = 35) or 400 mg/day (n = 30) of CoQ10 orally for 3 months. All patients underwent semen analysis according to the fifth editions of the World Health Organization criteria. Total antioxidant capacity (TAC), catalase (CAT) activity, and superoxide dismutase (SOD) activity were measured both before and after treatment. Results: Treatment with CoQ10 (200 mg/day or 400 mg/day) resulted in a significant increase in sperm concentration from baseline ($8.22{\pm}6.88$ to $12.53{\pm}8.11million/mL$, p= 0.019; $7.58{\pm}5.41$ to $12.33{\pm}6.1million/mL$, p= 0.002, respectively), progressive motility ($16.54%{\pm}9.26%$ to $22.58%{\pm}10.15%$, p=0.011; $14.22%{\pm}12.85%$ to $26.1%{\pm}14.52%$, p= 0.001, respectively), and total motility ($25.68%{\pm}6.41%$ to $29.96%{\pm}8.09%$, p= 0.016; $23.46%{\pm}12.59%$ to $34.82%{\pm}14.17%$, p= 0.001, respectively). CoQ10 therapy also increased TAC (p= 0.009, p= 0.001, respectively), SOD activity (p= 0.004, p= 0.001, respectively), and CAT activity (p= 0.039, p= 0.024, respectively). Furthermore, antioxidant measures correlated significantly with seminal fluid parameters (r = 0.36-0.76). Conclusion: CoQ10 supplementation improved semen parameters and antioxidant status in men with idiopathic OAT, with a greater improvement shown in men who took 400 mg/day than in those who took 200 mg/day.

• Journal of applied mathematics & informatics
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• 제36권1_2호
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• pp.115-120
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• 2018

In this paper, we discover symmetric properties for generalized Carlitz's q-tangent polynomials.

• 한국재료학회지
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• 제19권6호
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• pp.305-312
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• 2009

The effects of Quenching and Partitioning (Q&P) and Annealed Martensite (AM) heat treatment on the microstructure and tensile properties were investigated for 0.24C-0.5Si-1.5Mn-1Al steels. The Q&P steels were annealed at a single phase ($\gamma$) or a dual phase (${\gamma}+{\alpha}$), followed by quenching to a temperature between $M_s$ and $M_f$. Then, enriching carbon was conducted to stabilize the austenite through the partitioning, followed by water quenching. The AM steels were intercritically annealed at a dual phase (${\gamma}+{\alpha}$) temperature and austempered at $M_s$ and $M_s{\pm}50^{\circ}C$, followed by cooling in oil quenching. The dual phase Q&P steels showed lower tensile strength and yieldyield strength than those of the single phase Q&P steels, and tThe elongation for the dual phase Q&P steel was partitioning 100s higher than that of that for the single phase Q&P steels as the partitioning time was less than 100s up to partitioning 100s. For AM steels, the tensile/yield strength decreased and the total elongation increased as the austempering temperature increased. The stability of the retained austenite controlled the elongation for Q&P steels and the volume fraction of the retained austenite controlled the elongation for AM steels.

• 한국양식학회지
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• 제21권1호
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• pp.26-33
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• 2008

이 연구는 치어기 뱀장어 Anguilla japonica의 사료 내 맥반석(quartz porphyry, QP)과 BAISM을 단독 및 혼합 첨가가 성장과 내병성에 미치는 영향을 확인하고 첨가제로써 이용성을 평가하였다. 사료 내 첨가 물질로 맥반석(Quartz porphyry, QP)과 실험실에서 제작한 섭취 촉진 물질인 BAISM(BS)을 기초 사료에 각각 0% QP+0% BS($Q_0B_0$), 0.7% QP+0% BS($Q_{0.7}B_0$), 0.7% QP+0.3% BS($Q_{0.7}B_{0.3}$), 0.7% QP+0.5% BS($Q_{0.7}B_{0.5}$), 0.7% QP+0.75% BS($Q_{0.7}B_{0.75}$), 0.7% QP+1.0% BS($Q_{0.7}B_{1.0}$)의 6가지 수준으로 첨가하였다. 실험어는 4주간 예비사육 후, 평균 어체중 $15{\pm}0.3g(mean{\pm}SD)$인 치어기 뱀장어를 60 L 사각수조에 실험구별 30 마리씩 3반복으로 무작위 배치하여 8주간 사육실험을 진행하였다. 사육실험 종료 후, Edwardsiella tarda 복강 주사에 의한 누적 생존율을 조사하였다. 증체율, 일간성장률, 사료효율, 단백질전환효율에서 맥반석 단독 첨가구($Q_{0.7}B_0$)와 맥반석 BAISM 복합 첨가구($Q_{0.7}B_{0.3},\;Q_{0.7}B_{0.5},\;Q_{0.7}B_{0.75},\;Q_{0.7}B_{1.0}$)는 대조구($Q_0B_0$)에 비하여 유의하게 높았다(P<0.05). 특히, 맥반석 BAISM 복합 첨가구들 중 BAISM 0.5% 이상의 실험구($Q_{0.7}B_{0.5},\;Q_{0.7}B_{0.75},\;Q_{0.7}B_{1.0}$)는 나머지 실험구들에 비해 유의하게 높았고(P<0.05), 이들에 대한 유의한 차이는 없었다(P>0.05). 전어체 일반성분의 분석결과 수분 함량은 전 실험구에서 유의한 차이가 없었고(P>0.05), 단백질 함량은 첨가수준에 따라 유의적으로 증가한 반면(P<0.05), 지질과 회분의 함량은 유의적으로 감소하는 경향을 나타내었다(P<0.05). E. tarda에 의한 공격실험 결과 주사 15일 후, 맥반석BAISM 0.5% 이상 혼합 첨가구의 누적 생존율은 다른 실험구에 비해 유의하게 높았고(P<0.05), 전 실험구에서 40% 이상의 누적 생존율을 나타내었다. 따라서 치어기 뱀장어 사료에 맥반석 0.7%와 BAISM 0.5%를 첨가하는 것이 성장과 사료효율 증대 및 질병 저항성 증진에 효과가 있을 것으로 판단된다.