• Kyungpook Mathematical Journal
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• 제47권2호
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• pp.295-309
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• 2007

In this paper, we characterize the Seifert matrices of $p$-periodic links whose quotients are 2-bridge links $C(2,n_1,-2,n_2,{\cdots},n_r,(-2)^r)$ and give formulas for the signatures and determinants of the 3-periodic links of these kind in terms of $n_1$, $n_2$, ${\cdots}$, $n_r$.

• The Korean Journal of Physiology
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• 제29권2호
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• pp.225-232
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• 1995

The present study was conducted to evaluate the effect of phorbol 12,13-dibutyrate (PDBu) on the contraction of rabbit jugular vein in vitro. PDBu concentrations of greater than 10 nM induced a periodic contraction which was composed of rapid contraction, plateau and slow relaxation. The frequency of periodic contraction increased as PDBu concentration increased. The PDBu-induced contraction was inhibited by staurosporine (100 nM), it was not changed by tetrodotoxin $(1\;{\mu}M).$ In $Ca^{2+}$-free medium, PDBu induced a sustaining contraction, but not periodic contraction. Addition of $Ca^{2+}$ to medium evoked periodic contraction which was inhibited by nifedipine, PDBu concentrations of greater than $0.1\;{\mu}M$ increased ^{45}Ca^{2+}$ uptake without changing $^{45}Ca^{2+}$ efflux. Charybdotoxin and apamin, $Ca^{2+}$-activated K^{+}$ channel blockers, did not affect the PDBu-induced periodic contraction, whereas tetraethylammonium (TEA) abolished the periodicity. Pinacidil $(10\;{\mu}M).$, a potassium channel activator, blocked PDBu induced periodic contraction, which was recovered by glybenclamide $(10\;{\mu}M).$. In high potassium solution, PDBu did not produce the periodic contraction. These results suggest that the PDBu-induced periodicity of contraction is modulated by voltage dependent $Ca^{2+}$ channel and ATP-sensitive $K^{+}$ channel.

• Journal of applied mathematics & informatics
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• 제28권3_4호
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• pp.797-804
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• 2010

The aim of this paper is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation $x_{n+1}\;=\;\frac{A+Bx_{n-1}}{C+Dx_n^2}$, n = 0, 1, 2, ... where A, B are nonnegative real numbers and C, D > 0.

• Journal of applied mathematics & informatics
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• 제10권1_2호
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• pp.277-282
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• 2002

In this paper we shall discuss the relationship between almost periodic fuzzy mappings and the properties of convergence theorems, and some results of almost periodic fuzzy mappings.

• 대한수학회보
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• 제44권3호
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• pp.439-445
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• 2007

The aim of this work is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation $$x_{n+1}={\frac{Ax_{n-1}}{B+Cx_{n-2}{\iota}x_{n-2k}$$, n = 0, 1, 2,..., where A, B, C are nonnegative real numbers and $\iota$, k are nonnegative in tegers, $\iota{\leq}k$.

• 대한수학회보
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• 제51권2호
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• pp.555-565
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• 2014

An ideal I of a ring R is strongly ${\pi}$-regular if for any $x{\in}I$ there exist $n{\in}\mathbb{N}$ and $y{\in}I$ such that $x^n=x^{n+1}y$. We prove that every strongly ${\pi}$-regular ideal of a ring is a B-ideal. An ideal I is periodic provided that for any $x{\in}I$ there exist two distinct m, $n{\in}\mathbb{N}$ such that $x^m=x^n$. Furthermore, we prove that an ideal I of a ring R is periodic if and only if I is strongly ${\pi}$-regular and for any $u{\in}U(I)$, $u^{-1}{\in}\mathbb{Z}[u]$.

• Kyungpook Mathematical Journal
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• 제60권2호
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• pp.401-413
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• 2020

In this article we consider the following system of piecewise linear difference equations: x_n+1 = |x_n| - y_n - 1 and y_n+1 = x_n + |y_n| - 1. We show that when the initial condition is an element of the closed second or fourth quadrant the solution to the system is either a prime period-3 solution or one of two prime period-4 solutions.

• East Asian mathematical journal
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• 제19권2호
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• pp.317-335
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• 2003

In this paper, we characterize SL(2, $\mathbb{C}$)-representations of an n-periodic link $\tilde{L}$ in terms of SL(2, $\mathbb{C}$)-representations of its quotient link L and express the SL(2, $\mathbb{C}$)-representation variety R($\tilde{L}$) of $\tilde{L}$ as the union of n affine algebraic subsets which have the same dimension. Also, we show that the dimension of R($\tilde{L}$) is bounded by the dimensions of affine algebraic subsets of the SL(2, $\mathbb{C}$)-representation variety R(L) of its quotient link L.

• 대한임상검사과학회지
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• 제49권3호
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• pp.294-299
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• 2017

이 연구의 목적은 중첩성 뇌전증을 발견하고, 처음 기록된 30분 뇌파 패턴을 통하여 경련 가능성을 알아보고자 한다. 국제표준 10~20법을 통하여 전극을 부착하였다. 2014년 1월부터 2015년 12월까지 중환자실에 입원한 경련 의심 환자를 대상으로 하였다. 뇌파의 패턴은 주기적 방전파, 전반적 주기적 방전파, 버스트 억제파, 초점 뇌전증파, 비대칭 배경파, 전반적 서파, 삼상성 형태의 일반화 된 주기적 방전파 등 7 가지 범주로 분류하였다. 원인별 분류는 5가지 범주로 구분하였다. 전체 128명 중 평균 나이는 $56.9{\pm}17.5$였고, 남:여 비율은 74:54명이였다. 평균 뇌파검사 기간은 $5.5{\pm}5.1$일 이었고 최장 33일 이였다. 주기적 방전파(N=7), 전반적 주기적 방전파(N=10), 버스트 억제파(N=6), 초점 뇌전증파(N=19), 비대칭 배경파(N=24), 전반적 서파(N=51), 3상 형태의 일반화 된 주기적 방전파(N=11)이었다. 중첩성 뇌전증 환자의 원인은 원발성 증상성(N=4), 급성원발성 증상성(N=9), 급성 증상성(N=6), 진행성 뇌병증(N=2), 열성경련(N=1)이었다. 지속적 뇌파모니터링 검사는 중첩성 뇌전증을 발견하는데 유용한 검사이고, 뇌파 패턴을 통하여 경련 발생 유무를 확인할 수 있었다.

• Journal of applied mathematics & informatics
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• 제29권1_2호
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• pp.279-292
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• 2011

In this paper, we consider anti-periodic solutions of the following BAM neural networks with multiple delays on time scales: $$\{{x^\Delta_i(t)=-a_i(t)e_i(x_i(t))+{\sum\limits^m_{j=1}}c_{ji}(t)f_j(y_j(t-{\tau}_{ji}))+I_i(t),\atop y^\Delta_j(t)=-b_j(t)h_j(y_j(t))+{\sum\limits^n_{i=1}}d_{ij}(t)g_i(x_i(t-{\delta}_{ij}))+J_j(t),}\$$ where i = 1, 2, ..., n,j = 1, 2, ..., m. Using some analysis skills and Lyapunov method, some sufficient conditions on the existence and exponential stability of the anti-periodic solution to the above system are established.