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NEGACYCLIC CODES OF LENGTH 8ps OVER Fpm + uFpm

  • Klin-eam, Chakkrid;Phuto, Jirayu
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.6
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    • pp.1385-1422
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    • 2019
  • Let p be an odd prime. The algebraic structure of all negacyclic codes of length $8_{p^s}$ over the finite commutative chain ring ${\mathbb{F}}_{p^m}+u{\mathbb{F}}_{p^m}$ where $u^2=0$ is studied in this paper. Moreover, we classify all negacyclic codes of length $8_{p^s}$ over ${\mathbb{F}}_{p^m}+u{\mathbb{F}}_{p^m}$ into 5 cases, i.e., $p^m{\equiv}1$ (mod 16), $p^m{\equiv}3$, 11 (mod 16), $p^m{\equiv}5$, 13 (mod 16), $p^m{\equiv}7$, 15 (mod 16) and $p^m{\equiv}9$ (mod 16). From that, the structures of dual and some self-dual negacyclic codes and number of codewords of negacyclic codes are obtained.

A Study of Nerve Conduction Velocity of Normal Adults (정상성인의 신경전도속도에 관한 연구)

  • Choi, Kyoung-Chan;Hah, Jung-Sang;Byun, Yeung-Ju;Park, Choong-Suh;Yang, Chang-Heon
    • Journal of Yeungnam Medical Science
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    • v.6 no.1
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    • pp.151-163
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    • 1989
  • Nerve conduction studies help delineate the extent and distribution of the neural lesion. The nerve conduction was studied on upper(median, ulnar and radial nerves) and lower(personal, posterior tibial and sural nerves) extremities in 83 healthy subjects 23 to 66 years of age. and normal values were established(Table 1). The mean motor terminal latency (TL) were : median. 3.6(${\pm}0.6$)milliseconds ; ulnar. 2.9(${\pm}0.5$) milliseconds ; radial nerve. 2.3(${\pm}0.4$) milliseconds. Mean motor nerve conduction velocity(MNCV) along distal and proximal segments: median. 61.2(${\pm}9.1$) (W-E) and 57.8(${\pm}13.2$) (E-Ax) meters per second ; ulnar. 63.7(${\pm}9.1$) (W-E) and 50.(${\pm}10.0$) meters per second. Mean sensory nerve conduction velocity(SNCV) : median. 34.7(${\pm}6.7$) (F-W), 63.7(${\pm}7.1$) (W-E) and 62.8(${\pm}12.3$) (E-Ax)meters per second ; ulnar. 38.0(${\pm}6.7$)(F-W), 63.4(${\pm}7.5$) (W-E) and 57.0(${\pm}10.1$) (E-Ax)meters per second ; radial, 45.3(${\pm}6.8$) (F-W) and 64.2(${\pm}11.0$) (W-E) meters per second ; sural nerve, 43.4(${\pm}6.1$) meters per second. The amplitudes of action potential and H-reflex were also standardized. Mean H latency was 28.4(${\pm}3.2$) milliseconds. And. the fundamental principles, several factors altering the rate of nerve conduction and clinical application of nerve stimulation techniques were reviewed.

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ON SOME MEASURE RELATED WITH POISSON INTEGRAL ON THE UNIT BALL

  • Yang, Gye Tak;Choi, Ki Seong
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.1
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    • pp.89-99
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    • 2009
  • Let $\mu$ be a finite positive Borel measure on the unit ball $B{\subset}\mathbb{C}^n$ and $\nu$ be the Euclidean volume measure such that ${\nu}(B)=1$. For the unit sphere $S=\{z:{\mid}z{\mid}=1\}$, $\sigma$ is the rotation-invariant measure on S such that ${\sigma}(S)=1$. Let $\mathcal{P}[f]$ be the invariant Poisson integral of f. We will show that there is a constant M > 0 such that $\int_B{\mid}{\mathcal{P}}[f](z){\mid}^{p}d{\mu}(z){\leq}M\;{\int}_B{\mid}{\mathcal{P}}[f](z)^pd{\nu}(z)$ for all $f{\in}L^p({\sigma})$ if and only if ${\parallel}{\mu}{\parallel_r}\;=\;sup_{z{\in}B}\;\frac{\mu(E(z,r))}{\nu(E(z,r))}\;<\;\infty$.

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ON A CLASS OF QUANTUM ALPHA-CONVEX FUNCTIONS

  • NOOR, KHALIDA INAYAT;BADAR, RIZWAN S.
    • Journal of applied mathematics & informatics
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    • v.36 no.5_6
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    • pp.567-574
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    • 2018
  • Let $f:f(z)=z+{\sum^{{\infty}}_{n=2}}a_nz^n$ be analytic in the open unit disc E. Then f is said to belong to the class $M_{\alpha}$ of alpha-convex functions, if it satisfies the condition ${\Re}\{(1-{{\alpha})}{\frac{zf^{\prime}(z)}{f(z)}}+{{\alpha}}{\frac{(zf^{\prime}(z))^{\prime})}{f^{\prime}(z)}}\}$ > 0, ($z{\in}E$). In this paper, we introduce and study q-analogue of the class $M_{\alpha}$ by using concepts of Quantum Analysis. It is shown that the functions in this new class $M(q,{\alpha})$ are q-starlike. A problem related to q-Bernardi operator is also investigated.

An Analysis on the Over-Potentially Deposited Hydrogen at the Polycrystalline $Ir/H_2SO_4$ Aqueous Electrolyte Interface Using the Phase-Shift Method (위상이동 방법에 의한 다결정 $Ir/H_2SO_4$ 수성 전해질 계면에서 과전위 수소흡착에 관한 해석)

  • Chun Jagn Ho;Mun Kyeong Hyeon
    • Journal of the Korean Electrochemical Society
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    • v.3 no.2
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    • pp.109-114
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    • 2000
  • The relation between the phase-shift profile fur the intermediate frequencies and the Langmuir adsorption isotherm at the poly-Ir/0.1 M $H_2SO_4$ aqueous electrolyte interface has been studied using ac impedance measurements, i.e., the phase-shift methods. The simplified interfacial equivalent circuit consists of the serial connection of the electrolyte resistance $(R_s)$, the faradaic resistance $(R_F)$, and the equivalent circuit element $(C_P)$ of the adsorption pseudoca-pacitance $(C_\phi)$. The comparison of the change rates of the $\Delta(-\phi)/{\Delta}E\;and\;\Delta{\theta}/{\Delta}E$ are represented. The delayed phase shift $(\phi)$ depends on both the cathode potential (E) and frequency (f), and is given by $\phi=tan^{-1}[1/2{\pi}f(R_s+R_F)C_P]$. The phase-shift profile $(-\phi\;vs.\;E)$ for the intermediate frequency (ca. 1 Hz) can be used as an experimental method to determine the Langmuir adsorption isotherm $(\theta\;vs.\;E)$. The equilibrium constant (K) for H adsorption and the standard free energy $({\Delta}G_{ads})$ of H adsorption at the poly-Ir/0.1 M $H_2SO_4$ electrolyte interface are $2.0\times10^{-4}$ and 21.1kJ/mol, respectively. The H adsorption is attributed to the over-potentially deposited hydrogen (OPD H).

ENERGY FINITE SOLUTIONS OF ELLIPTIC EQUATIONS ON RIEMANNIAN MANIFOLDS

  • Kim, Seok-Woo;Lee, Yong-Hah
    • Journal of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.807-819
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    • 2008
  • We prove that for any continuous function f on the s-harmonic (1{\infty})$ boundary of a complete Riemannian manifold M, there exists a solution, which is a limit of a sequence of bounded energy finite solutions in the sense of supremum norm, for a certain elliptic operator A on M whose boundary value at each s-harmonic boundary point coincides with that of f. If $E_1,\;E_2,...,E_{\iota}$ are s-nonparabolic ends of M, then we also prove that there is a one to one correspondence between the set of bounded energy finite solutions for A on M and the Cartesian product of the sets of bounded energy finite solutions for A on $E_i$ which vanish at the boundary ${\partial}E_{\iota}\;for\;{\iota}=1,2,...,{\iota}$

Analysis the 10kW-grade Rotor Blade with Fiber Reinforced Plastics (F.R.P로 제작된 10kW급 소형 Rotor Blade의 특성 분석)

  • Son Choong-Yul;Kim Keon-Hoon;Shin Jong-Yeon;Lee Jung-Tak
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2005.04a
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    • pp.575-582
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    • 2005
  • Wind Turbines of big scale of modem stage are made of a part glass F.R.P. Carbon Reinforced Plastic and Kevlar can be used 0 reinforcement but those are not economical in big scale of Wind Turbines. In this study life sized 10kW-class Rotor Blade is made of F.R.P. which is high stiffness and good dynamic behavior characteristic for light weight. It is accomplished an experimental research of Bending analysis blade. Bending analysis blade are calculated with F.E. Analysis performed with commercial F.E.M program ANSYS. Finally, experimental research is compared with F.E. Analysis. The results indicate that experimental values have good agreements with the F.E. Analysis.

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DIFFERENTIAL EQUATIONS RELATED TO FAMILY A

  • Li, Ping;Meng, Yong
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.2
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    • pp.247-260
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    • 2011
  • Let h be a meromorphic function with few poles and zeros. By Nevanlinna's value distribution theory we prove some new properties on the polynomials in h with the coefficients being small functions of h. We prove that if f is a meromorphic function and if $f^m$ is identically a polynomial in h with the constant term not vanish identically, then f is a polynomial in h. As an application, we are able to find the entire solutions of the differential equation of the type $$f^n+P(f)=be^{sz}+Q(e^z)$$, where P(f) is a differential polynomial in f of degree at most n-1, and Q($e^z$) is a polynomial in $e^z$ of degree k $\leqslant$ max {n-1, s(n-1)/n} with small functions of $e^z$ as its coefficients.

Expression of Cell Cycle Related Genes in HL60 Cells Undergoing Apoptosis by X-irradiation (HL60 세포주에서 방사선 조사에 의한 Apoptosis와 세포 주기 관련 유전자의 발현 변화)

  • Kim, Jin-Hee;Park, In-Kyu
    • Radiation Oncology Journal
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    • v.16 no.4
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    • pp.377-388
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    • 1998
  • Purpose : To evaluate changes in expression of cell cycle related genes during apoptosis induced in HL60 cells by X-irradiation to understand molecular biologic aspects in mechanism of radiation therapy. Material and Methods : HL-60 cell line (promyelocytic leukemia cell line) was grown in culture media and irradiated with 8 Gr by linear accelerator (6 MV X-ray). At various times after irradiation, ranging from 3 to 48 hours were analyzed apoptotic DNA fragmentation assay for apoptosis and by western blot analysis and semi-quantitative RT-PCR for expression of cell cycle related genes (cyclin A, cyclin B, cyclin C, cyclin Dl, cyclin E, cdc2, CDK2, CDK4, $p16^{INK4a}$, $p21^{WAF1}$, $p27^{KIP1}$, E2F, PCNA and Rb). Results : X-irradiation (8 Gy) induced apoptosis in HL-60 cell line. Cycline A protein increased after reaching its peak 48 h after radiation delivery and cyclin E, E2F, CDK2 and RB protein increased then decreased after radiation. Radiation induced up-regulation of the expression of E2F is due to mostly increase of Phosphorylated retinoblastoma proteins (ppRb). Cyclin Dl, PCNA, CDC2, CDK4 and $p16^{INK4a}$ protein underwent no significant change at any times after irradiation. There was not detected $p21^{WAF1}$ and $p27^{KIP1}$ protein. Cyclin A, B, C mRNA decreased immediately after radiation and then increased at 12 h after radiation. Cyclin Dl mRNA increased immediately and then decreased at 48 h after radiation. After radiation, cyclin E mRNA decreased with the lapse of time. CDK2 mRNA decreased at 3h and increased at eh after radiation. CDK4 mRNA rapidly increased at 6 to 12 h after radiation. There was no change of expression of $p16^{INK4a}$ and not detected in expressin of $p21^{WAF1}$ and $p27^{KIP1}$ mRNA. Conclusion : We suggest that entry into S phase may contribute to apoptosis of HL60 cells induced by irradiation. Increase of ppRb and decrease of pRb protein are related with radiation induced auoptosis of HL60 cells and tosis of HL60 cells induced by irradiation. Increase of ppRb and decrease of PRb protein are related with radiation induced apoptosis of HL60 cells and this may be associated with induction of E2F and cyclinE/CDK2. These results support that $p21^{WAF1}$ and $p27^{KIP1}$ are not related with radiation induced-apoptosis.

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Production of a Specific Yolk Antibody against Enterotoxigenic E. coli F41 Fimbrial Antigen (장독성대장균 F41 섬모항원에 대한 특이난황항체 생산)

  • Shin, S.O.;Kim, J.W.
    • Journal of Animal Science and Technology
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    • v.44 no.5
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    • pp.633-642
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    • 2002
  • Enteric colibacillosis has economically become an important disease of young animals as a result of increasing intensification of farrowing management. The objective of this experiment is to isolate fimbrial antigen from enterotoxigenic E. coli F41, to develop specific polyclonal IgY which can effectively neutralize or reduce the proliferation of pathogens in feed or living animal system, and to apply IgY technologies to animal industry. The results obtained were as follows: The molecular weight of the purified F41 antigen was 29,500 dalton on sodium dodecyl sulfate-polyacrylamide gels. Fimbrial antigen was confirmed by the western blot method. It was observed that after immunization the level of serum antibody titer of laying hen was shown in two weeks and gradually increased. The antibody titer in egg yolk appeared two weeks after it was shown in serum antibody. The titers of egg yolk antibody were gradually increased to the maximum level of 320,000 (antigen 50${\mu}g$/$m\ell$), 450,000 (antigen 200${\mu}g$/$m\ell$), and 320,000 (antigen 600${\mu}g$/$m\ell$). According to the results of specificity test by ELISA, the anti-F41 antibodies from chicken serum and egg yolk reacted only with ETEC F41 antigen. There was no cross reaction with other ETEC strains (K88, K99, and 987P). In vitro condition, as a result of antigen binding ability of yolk antibodies, bacterial concentration was rapidly decreased to $10^5$ CFU/$m\ell$ from $10^9$ CFU/$m\ell$ when 2${\sim}$4 mg/$m\ell$ of freeze dried WSF (water soluble fraction) was added.