• Journal of applied mathematics & informatics
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• 제25권1_2호
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• pp.375-382
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• 2007

We Study, firstly, the dynamics of the difference equation $x_{n+1}\;=\;{\alpha}\;+\;{\frac{x^p_n}{x^p_{n-1}}}$, with $p\;{\in}\;(0,\;1)\;and\;{\alpha}\;{\in}\;[0,\;{\infty})$. Then, we generalize our results to the (k + 1)th order difference equation $x_{n+1}\;=\;{\alpha}\;+\;{\frac{x^p_n}{nx^p_{n-k}}$, $k\;=\;2,\;3,\;{\cdots}$ with positive initial conditions.

• Journal of applied mathematics & informatics
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• 제17권1_2_3호
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• pp.245-258
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• 2005

In this paper we prove that the alternating groups A_n, for n = p, p+1, p+2 and symmetric groups $S_n$, for n = p, p+1, where p$\ge$3 is a prime number, can be uniquely determined by their order components. As one of the important consequence of this characterization we show that the simple groups An, where n = p, p+1, P+2 and p$\ge$3 is prime, satisfy in Thompson's conjecture and Shi's conjecture.

• Korean Journal of Acupuncture
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• 제22권1호
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• pp.67-74
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• 2005

Objectives : This study was carried to identify the component of the Pericardium Meridian Muscle in human. Methods : The regional muscle group was divided into outer, middle, and inner layer. The inner part of body surface were opened widely to demonstrate muscles, nerve, blood vessels and to expose the inner structure of the Pericardium Meridian Muscle in the order of layers. Results We obtained the results as follows; He Perfcardium Meridian Muscle composed of the muscles, nerves and blood vessels. In human anatomy, it is present the difference between terms (that is, nerves or blood vessels which control the muscle of the Pericardium Meridian Muscle and those which pass near by the Pericardium Meridian Muscle). The inner composition of the Pericardium Meridian Muscle in human is as follows ; 1) Muscle P-1 : pectoralis major and minor muscles, intercostalis muscle(m.) P-2 : space between biceps brachialis m. heads. P-3 : tendon of biceps brachialis and brachialis m. P-4 : space between flexor carpi radialis m. and palmaris longus m. tendon(tend.), flexor digitorum superficialis m., flexor digitorum profundus m. P-5 : space between flexor carpi radialis m. tend. and palmaris longus m. tend., flexor digitorum superficialis m., flexor digitorum profundus m. tend. P-6 : space between flexor carpi radialis m. tend. and palmaris longus m. tend., flexor digitorum profundus m. tend., pronator quadratus m. H-7 : palmar carpal ligament, flexor retinaculum, radiad of flexor digitorum superficialis m. tend., ulnad of flexor pollicis longus tend. radiad of flexor digitorum profundus m. tend. H-8 : palmar carpal ligament, space between flexor digitorum superficialis m. tends., adductor follicis n., palmar interosseous m. H-9 : radiad of extensor tend. insertion. 2) Blood vessel P-1 : lateral cutaneous branch of 4th. intercostal artery, pectoral br. of Ihoracoacrornial art., 4th. intercostal artery(art) P-3 : intermediate basilic vein(v.), brachial art. P4 : intermediate antebrachial v., anterior interosseous art. P-5 : intermediate antebrarhial v., anterior interosseous art. P-6 : intermediate antebrachial v., anterior interosseous art. P-7 : intermediate antebrachial v., palmar carpal br. of radial art., anterior interosseous art. P-8 : superficial palmar arterial arch, palmar metacarpal art. P-9 : dorsal br. of palmar digital art. 3) Nerve P-1 : lateral cutaneous branch of 4th. intercostal nerve, medial pectoral nerve, 4th. intercostal nerve(n.) P-2 : lateral antebrachial cutaneous n. P-3 : medial antebrachial cutaneous n., median n. musrulocutaneous n. P-4 : medial antebrachial cutaneous n., anterior interosseous n. median n. P-5 : median n., anterior interosseous n. P-6 : median n., anterior interosseous n. P-7 : palmar br. of median n., median n., anterior interosseous n. P-8 : palmar br. of median n., palmar digital br. of median n., br. of median n., deep br. of ulnar n. P-9 : dorsal br. of palmar digital branch of median n. Conclusions : This study shows some differences from already established study on meridian Muscle.

• 정보보호학회논문지
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• 제18권3호
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• pp.45-50
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• 2008

유한체 연산기는 생성 기약다항식과 원소의 표현 방법에 따라 효율성에 많은 영향을 받는다. 본 논문에서는 홀수 소수 p에 대한 확장체 GF$(p^n)$ 위의 곱셈에 대한 두 가지 직렬곱셈기를 제안한다. 기약 이항 다항식을 이용한 직렬 곱셈기는 (2n+5)개의 레지스터, 2개의 MUX, 2개의 GF(p)곱셈기, 1개의 GF(p) 덧셈기를 사용하여 $n^2+n$ 클럭 싸이클 이후에 곱셈 결과를 얻는 구조이다. 기약 AOP를 이용한 직렬 곱셈기는 (2n+5)개의 레지스터, 1개의 MUX, 1개의 GF(p)곱셈기, 1개의 GF(p) 덧셈기를 사용하여 $n^2$+3n+2 클럭 싸이클 이후에 곱셈결과를 얻는다.

• Asian-Australasian Journal of Animal Sciences
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• 제22권9호
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• pp.1248-1255
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• 2009

This study was carried out to evaluate the fatty acid composition in Nellore cows supplemented with either linseed (n-3) or canola grains (n-6 and n-9). Fifteen Nellore cows, aged five years and bodyweight 550 kg${\pm}$48 kg, were randomly distributed to the following treatments: CON (control), LIN (linseed) and CAN (canola grains). The cows were fed for 80 days. The concentrations of C18:0, C18:2 n-6 and C20:3 n-6 fatty acid were higher (p<0.10) in CON blood plasma in comparison to follicular liquid. Likewise, PUFA, n-6 contents, PUFA:SFA and n-6:n-3 ratios were higher (p<0.10) in blood plasma. On the other hand, C18:1 n-9, C22:5 n-3, MUFA and n-3 contents were lower (p<0.10) in blood plasma. C18:0, C18:2 n-6, C18:3 n-3, C22:5 n-3, PUFA, n-6, n-3 contents and PUFA:SFA ratio were higher (p<0.10) in LIN blood plasma than in the follicular liquid. Nevertheless, C14:0, C16:0, C16:1 n-7, PUFA, C16:0, C18:1 n-9 and MUFA contents were lower (p<0.10) in LIN blood plasma. On treatment CAN, the C18:0 and SFA contents, and n-6:n-3 ratios were higher (p<0.10) in blood plasma. However, C20:3 n-6, C22:5 n-3, PUFA and n-3 contents were lower (p<0.10) in blood plasma. C16:0, C18:0, PUFA, SFA contents and PUFA:SFA ratio did not differ (p>0.10) among the treatments. C14:0, C16:1 n-7, C18:2 n-6 and n-6 contents were higher (p<0.10) for CON and CAN than LIN. C17:1 n-7, C20:4 n-6 and C 22:0 contents were higher (p<0.10) for CAN than CON and LIN. C18:1 n-9, C18:3 n-3, MUFA and n-3 contents were higher (p<0.10) for LIN and CAN than CON. C20:3 n-6 content and n-6:n-3 ratio were higher (p<0.10) for CON than LIN and CAN. C22:5 n-3 content were higher (p<0.10) for CON and LIN than CAN. The concentrations of fatty acids in blood plasma and follicular liquid were not correlated for any fatty acid, independent of the treatment studied. Canola grain added to the diet of Nellore cows resulted in increased concentrations of fatty acids n-6 and n-3 in follicular liquid.

• 대한수학회지
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• 제48권2호
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• pp.397-420
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• 2011

In this paper we study the structure of closed weakly dense ideals in Privalov spaces $N^p$ (1 < p < $\infty$) of holomorphic functions on the disk $\mathbb{D}$ : |z| < 1. The space $N^p$ with the topology given by Stoll's metric [21] becomes an F-algebra. N. Mochizuki [16] proved that a closed ideal in $N^p$ is a principal ideal generated by an inner function. Consequently, a closed subspace E of $N^p$ is invariant under multiplication by z if and only if it has the form $IN^p$ for some inner function I. We prove that if $\cal{M}$ is a closed ideal in $N^p$ that is dense in the weak topology of $N^p$, then $\cal{M}$ is generated by a singular inner function. On the other hand, if $S_{\mu}$ is a singular inner function whose associated singular measure $\mu$ has the modulus of continuity $O(t^{(p-1)/p})$, then we prove that the ideal $S_{\mu}N^p$ is weakly dense in $N^p$. Consequently, for such singular inner function $S_{\mu}$, the quotient space $N^p/S_{\mu}N^p$ is an F-space with trivial dual, and hence $N^p$ does not have the separation property.

• Journal of Ecology and Environment
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• 제43권1호
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• pp.14-21
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• 2019

Background: Stoichiometry plays an important role in understanding nutrient composition and cycling processes in aquatic ecosystems. Previous studies have considered C:N:P ratios constant for both DOM (dissolved organic matter) and POM (particulate organic matter). In this study, water samples were collected in the six major rivers in Korea and were incubated for 20 days. C:N:P ratios were determined during the time course of the incubations. This allowed us to examine the changes in N and P contents of organic matter during decomposition. Results: POM and DOM showed significant differences in N and P content and the elemental ratios changed during the course of decomposition; DOM showed higher C:N and C:P ratios than POM, and the C:N and C:P ratios increased during decomposition, indicating the preferential mineralization of P over N and N over C. Conclusions: The N and P contents of organic matter in aquatic ecosystem are far from constant and vary significantly during decomposition. More detailed information on the changes in C:N:P ratios will provide improved understanding of decomposition processes and improved modeling of aquatic ecosystems.

• 한국인터넷방송통신학회논문지
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• 제13권6호
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• pp.221-228
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• 2013

큰 반소수 n=pq의 소인수 p,q를 나눗셈 시행법으로 직접 찾는 것은 현실적으로 거의 불가능하다. 따라서 대부분의 소인수분해 알고리즘은$a^2{\equiv}b^2$ (mod n)의 제곱합동을 찾아 p=GCD(a-b, n), q=GCD(a+b, n)의 소인수를 찾는 간접 방법을 적용하고 있다. n = pq에 대해 p와 q를 선택한 영역은 $l(p)=l(q)=l(\sqrt{n})=0.5l(n)$의 [$10{\cdots}01$, $99{\cdots}9$] 범위에서 $\sqrt{n}$을 기준으로 $10{\cdots}00$ < p < $\sqrt{n}$과 $\sqrt{n}$ < q < $99{\cdots}9$에 존재한다는 사실만이 밝혀졌다. 본 논문은 n으로 부터 획득한 정보를 이용하여 p의 범위를 보다 축소시키는 방법을 제안한다. 제안 방법은 $n=n_{LR}+n_{RL}$, $l(n_{LR})=l(n_{RL})=l(\sqrt{n})$으로 분할하여 $p_{min}=n_{LR}$, $q_{min}=n_{RL}$로 설정하는 방법을 적용하였다. 본 논문에서 제안한 n의 정보로 p의 범위를 축소하는 방법은 $\sqrt{n}$의 정보로 p의 범위 축소 방법에 비해 최소 17.79%에서 최대 90.17%의 범위 축소 효과를 얻었다.

• Journal of applied mathematics & informatics
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• 제26권5_6호
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• pp.945-959
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• 2008

n-ary $H_v$-structures is a generalisation of both n-ary structures and $H_v$-structures. A wide class of n-ary $P-H_v$-groups is the n-ary $P-H_v$-groups that is concidered in this paper. In this paper the notion of a normal subgroup of an n-ary $P-H_v$-groups is introduced and the isomorphism theorems for n-ary $P-H_v$-groups are stated and proved. Also some examples and related properties are investigated.

• 대한수학회보
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• 제38권4호
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• pp.657-662
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• 2001

It is proved that if for each n, $1\leqp_n\leq2 \;and \;the(p_n, p’_n)$ Clarkson inequality holds in each Banach space X$_{n}$ then the (t, t’) Clarkson inequality holds in ($\sum^\infty_{n=1}\; X_n)_r, \;the \ell^r-sum \;of\; X_n’s,\; where\; 1\leqr<\infty,\; t=min{p, r, r’} \;and \;p = \;inf{p_n}.$ The (p, p’) Clarkson inequality is preserved by quotient maps and a new proof of a Takahashi-Kato theorem stating that the (p, p’) Clarkson inequality holds in a Banach space X if and only if it holds in its dual space $X_*$ is given.n.