• Title/Summary/Keyword: $P_n$

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NON-TRIVIALITY OF TWO HOMOTOPY ELEMENTS IN π*S

  • Liu Xiugui
    • Journal of the Korean Mathematical Society
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    • v.43 no.4
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    • pp.783-801
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    • 2006
  • Let A be the mod p Steenrod algebra for p an arbitrary odd prime and S the sphere spectrum localized at p. In this paper, some useful propositions about the May spectral sequence are first given, and then, two new nontrivial homotopy elements ${\alpha}_1{\jmath}{\xi}_n\;(p{\geq}5,n\;{\geq}\;3)\;and\;{\gamma}_s{\alpha}_1{\jmath}{\xi}_n\;(p\;{\geq}\;7,\;n\;{\geq}\;4)$ are detected in the stable homotopy groups of spheres, where ${\xi}_n\;{\in}\;{\pi}_{p^nq+pq-2}M$ is obtained in [2]. The new ones are of degree 2(p - 1)($p^n+p+1$) - 4 and 2(p - 1)($p^n+sp^2$ + sp + (s - 1)) - 7 and are represented up to nonzero scalar by $b_0h_0h_n,\;b_0h_0h_n\tilde{\gamma}_s\;{\neq}\;0\;{\in}\;Ext^{*,*}_A^(Z_p,\;Z_p)$ in the Adams spectral sequence respectively, where $3\;{\leq}\;s\;<\;p-2$.

Fabrication and characterization of n-IZO / p-Si and p-ZnO:(In, N) / n-Si thin film hetero-junctions by dc magnetron sputtering

  • Dao, Anh Tuan;Phan, Thi Kieu Loan;Nguyen, Van Hieu;Le, Vu Tuan Hung
    • Journal of IKEEE
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    • v.17 no.2
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    • pp.182-188
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    • 2013
  • Using a ceramic target ZnO:In with In doping concentration of 2%, hetero-junctions of n-ZnO:In/p-Si and p-ZnO:(In, N)/n-Si were fabricated by depositing Indium doped n - type ZnO (ZnO:In or IZO) and Indium-nitrogen co-doped p - type ZnO (ZnO:(In, N)) films on wafers of p-Si (100) and n-Si (100) by DC magnetron sputtering, respectively. These films with the best electrical and optical properties were then obtained. The micro-structural, optical and electrical properties of the n-type and p-type semiconductor thinfilms were characterized by X-ray diffraction (XRD), RBS, UV-vis; four-point probe resistance and room-temperature Hall effect measurements, respectively. Typical rectifying behaviors of p-n junction were observed by the current-voltage (I-V) measurement. It shows fairly good rectifying behavior with the fact that the ideality factor and the saturation current of diode are n=11.5, Is=1.5108.10-7 (A) for n-ZnO:In/p-Si hetero-jucntion; n=10.14, Is=3.2689.10-5 (A) for p-ZnO:(In, N)/n-Si, respectively. These results demonstrated the formation of a diode between n-type thin film and p-Si, as well as between p-type thin film and n-Si..

Design of an Operator Architecture for Finite Fields in Constrained Environments (제약적인 환경에 적합한 유한체 연산기 구조 설계)

  • Jung, Seok-Won
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.18 no.3
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    • pp.45-50
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    • 2008
  • The choice of an irreducible polynomial and the representation of elements have influence on the efficiency of operators for finite fields. This paper suggests two serial multiplier for the extention field GF$(p^n)$ where p is odd prime. A serial multiplier using an irreducible binomial consists of (2n+5) resisters, 2 MUXs, 2 multipliers of GF(p), and 1 adder of GF(p). It obtains the mulitplication result after $n^2+n$ clock cycles. A serial multiplier using an AOP consists of (2n+5) resisters, 1 MUX, 1 multiplier of CF(p), and 1 adder of GF(p). It obtains the mulitplication result after $n^2$+3n+2 clock cycles.

Binary Doping of N-B and N-P into Graphene: Structural and Electronic properties

  • Kim, Hyo seok;Kim, Seong Sik
    • Proceeding of EDISON Challenge
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    • 2013.04a
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    • pp.256-259
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    • 2013
  • We investigate co-doping effects of conjugated P-N B-N with increasing of N concentration in the graphene sheets using a first principles based on the density functional theory. N doping sites of the graphene consider two possible sites (pyridinic and porphyrin-like). Energy calculation shows that additional doping of B atom in the porphyrin-like N doped graphene ($V+B-N_x$) is hard to form. At the low chemical potential of N, one N atom with additional doping in the graphene ($V+P-N_1$, $P/B-N_1$) has low formation energy on the other hand at high chemical potential of N, high concentration of N ($V+P-N_4$, $P/B-N_3$) in the graphene is governing conformation. From the results of electronic band structure calculation, it is found that $V+P-N_4$ and $P/B-N_3$ cases change the Fermi energy therefore type change is occurred. On the other hand, the cases of $V+P-N_1$ and N+B recover the electronic structure of pristine graphene.

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PRECISE ASYMPTOTICS IN COMPLETE MOMENT CONVERGENCE FOR DEPENDENT RANDOM VARIABLE

  • Han, Kwang-Hee
    • Honam Mathematical Journal
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    • v.31 no.3
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    • pp.369-380
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    • 2009
  • Let $X,X_1,X_2,\;{\cdots}$ be identically distributed and negatively associated random variables with mean zeros and positive, finite variances. We prove that, if $E{\mid}X_1{\mid}^r$ < ${\infty}$, for 1 < p < 2 and r > $1+{\frac{p}{2}}$, and $lim_{n{\rightarrow}{\infty}}n^{-1}ES^2_n={\sigma}^2$ < ${\infty}$, then $lim_{{\epsilon}{\downarrow}0}{\epsilon}^{{2(r-p}/(2-p)-1}{\sum}^{\infty}_{n=1}n^{{\frac{r}{p}}-2-{\frac{1}{p}}}E\{{{\mid}S_n{\mid}}-{\epsilon}n^{\frac{1}{p}}\}+={\frac{p(2-p)}{(r-p)(2r-p-2)}}E{\mid}Z{\mid}^{\frac{2(r-p)}{2-p}}$, where $S_n\;=\;X_1\;+\;X_2\;+\;{\cdots}\;+\;X_n$ and Z has a normal distribution with mean 0 and variance ${\sigma}^2$.

Effects of Different Extraction Extraction Media and Reaction Mixtures on Photosystem II Activity of Spinach Chloroplasts (시금치 엽록체의 광계의 활성에 미치는 추출용매와 반응용액의 영향)

  • 권병규
    • Journal of Plant Biology
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    • v.19 no.4
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    • pp.95-99
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    • 1976
  • This work deals with different extraction media and reaction mixtures on photosystem II activity of Spinach chloroplasts. The photoreduction rate of ferricyanide and DPIP by intact chloroplasts which extracted with four kinds of extraction media; S-Tris-N pH 7.2, 8.0, S-Tricine-N pH 7.2, 8.0, was measured in five kinds of reaction mixtures; S-Tris-N pH 7.2, 8.0, S-Tricine-N pH 7.2, 8.0, 0.05 M-Tris pH 7.2. The extraction medium which shows the highest photoreduction rate was S-Tris-N at pH 7.2 and S-Tricine-N at pH 8.0. As to the reaciton mixture, S-Tricine-N pH 8.0 showed the highest rate. On the complex effects of extraction media and reaction mixtures, the highest photordeuction rate of Hill oxidant by intact chloroplasts was obtained by S-Tris-N pH 7.2 extraction medium and S-Tricine-N pH 8.0 reaction mixture. The second highest activity was obtained by S-Tricine-N pH 8.0 extraction medium and reaction mixture.

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On Generalized Integral Operator Based on Salagean Operator

  • Al-Kharsani, Huda Abdullah
    • Kyungpook Mathematical Journal
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    • v.48 no.3
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    • pp.359-366
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    • 2008
  • Let A(p) be the class of functions $f\;:\;z^p\;+\;\sum\limits_{j=1}^{\infty}a_jz^{p+j}$ analytic in the open unit disc E. Let, for any integer n > -p, $f_{n+p-1}(z)\;=\;z^p+\sum\limits_{j=1}^{\infty}(p+j)^{n+p-1}z^{p+j}$. We define $f_{n+p-1}^{(-1)}(z)$ by using convolution * as $f_{n+p-1}\;*\;f_{n+p-1}^{-1}=\frac{z^p}{(1-z)^{n+p}$. A function p, analytic in E with p(0) = 1, is in the class $P_k(\rho)$ if ${\int}_0^{2\pi}\|\frac{Re\;p(z)-\rho}{p-\rho}\|\;d\theta\;\leq\;k{\pi}$, where $z=re^{i\theta}$, $k\;\geq\;2$ and $0\;{\leq}\;\rho\;{\leq}\;p$. We use the class $P_k(\rho)$ to introduce a new class of multivalent analytic functions and define an integral operator $L_{n+p-1}(f)\;\;=\;f_{n+p-1}^{-1}\;*\;f$ for f(z) belonging to this class. We derive some interesting properties of this generalized integral operator which include inclusion results and radius problems.

Study on the Anatomical Pericardium Meridian Muscle in Human (수궐음 심포경근의 해부학적 고찰)

  • Park, Kyoung-Sik
    • Korean Journal of Acupuncture
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    • v.22 no.1
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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.

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The deformation space of real projective structures on the $(^*n_1n_2n_3n_4)$-orbifold

  • Lee, Jungkeun
    • Bulletin of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.549-560
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    • 1997
  • For positive integers $n_i \geq 2, i = 1, 2, 3, 4$, such that $\Sigma \frac{n_i}{1} < 2$, there exists a quadrilateral $P = P_1 P_2 P_3 P_4$ in the hyperbolic plane $H^2$ with the interior angle $\frac{n_i}{\pi}$ at $P_i$. Let $\Gamma \subset Isom(H^2)$ be the (discrete) group generated by reflections in each side of $P$. Then the quotient space $H^2/\gamma$ is a differentiable orbifold of type $(^* n_1 n_2 n_3 n_4)$. It will be shown that the deformation space of $Rp^2$-structures on this orbifold can be mapped continuously and bijectively onto the cell of dimension 4 - \left$\mid$ {i$\mid$n_i = 2} \right$\mid$$.

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A NEW CHARACTERIZATION OF ALTERNATING AND SYMMETRIC GROUPS

  • ALAVI S. H.;DANESHKHAW A.
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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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.