• Title/Summary/Keyword: p-set

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Ab Initio Studies on Hydrogen-Bonded Dimers of Fluoromethanes with Ammonia and Water (플루오르화메탄들과 암모니아 및 물과의 수소결합 이량체들에 관한 Ab Initio 연구)

  • Soon-Ki Lee;Seung-Hoon Kim
    • Journal of the Korean Chemical Society
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    • v.37 no.4
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    • pp.408-415
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    • 1993
  • Systematic ab initio SCF calculations have been performed on the hydrogen-bonded dimers of fluoromethanes involving $CH_4,\;CH_3F,\;CH_2F_2\;and\;CHF_3$ with ammonia and water applying basis sets of 9s5p/5s and 9s5p1d/5p1d. Various ground state properties of these stable dimeric complexes have been evaluated. We compared these with corresponding properties of isolated monomers. We report equilibrium geometries, stabilization energies, dipole moments and force constants of intermolecular bonds. The effects arising as a consequence of the non-additive behavior of hydrogen bonding in chain-like oligomers are discussed. Systematic, methodical errors due to the use of the SCF approximation and the basis set dependence of the computed results are pointed out.

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Comparison of Isometric Knee Extension Torque-Angle Relationship between Taekwondo Athletes and Normal Adults (태권도 선수와 일반인의 등척성 무릎신전 토크-각도 관계 특성 비교 분석)

  • Jo, Gye-Hun;Oh, Jeong-Hoon;Lee, Hae-Dong
    • Korean Journal of Applied Biomechanics
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    • v.25 no.3
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    • pp.275-281
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    • 2015
  • Objective : In order for Taekwondo athletes to perform destructive kicking performance, they are expected to have Taekwondo-specific muscle properties such as high muscle strength and power. The purpose of this study was to investigate the joint angle-dependent force-producing property of Taekwondo athletes' knee extensor muscles, which is one of the primary muscle groups involved in kicking performance. Method : Ten Taekwondo male athletes (age: $19.9{\pm}0.7yrs$, height: $180.6{\pm}6.2cm$, body mass: $75.9{\pm}8.9kg$, career: $9.2{\pm}2.9yrs$.) and 10 healthy male non-athletes (age: $26.3{\pm}2.6yrs$, height: $174.2{\pm}4.8cm$, body mass: $72.8{\pm}7.7kg$) participated in this study. Subjects performed maximum isometric knee extension at knee joint angles of $40^{\circ}$, $60^{\circ}$, $80^{\circ}$, and $100^{\circ}$ (the full knee extension was set to $0^{\circ}$) with the hip joint angles of $0^{\circ}$ and $80^{\circ}$ (the full extension was set to $0^{\circ}$). During the contractions, knee extension torque using an isokinetic dynamometer simultaneously with muscle activities of the rectus femoris (RF), and the vastus lateralis (VL) and vastus medialis (VM) using surface electromyography were recorded. Based on the torque values at systematically different knee-hip joint angles, the joint torque-angle relationships were established and then the optimal joint angle for the knee extensor was estimated. Results : The results of this study showed that the isometric knee extension torque values were greater for the Taekwondo athletes compared with the non-athlete group at all hip-knee joint angle combinations (p<.05). When the hip joint was set at $80^{\circ}$, the peak isometric torque was greater for the Taekwondo athletes compared with the non-athlete group ($313.61{\pm}36.79Nm$ and $221.43{\pm}35.92Nm$, respectively; p<.05) but the estimated optimum knee joint angles were similar ($62.33{\pm}5.71^{\circ}$ and $62.30{\pm}4.67^{\circ}$ for the Taekwondo athletes and non-athlete group, respectively). When the hip joint was set at $0^{\circ}$, the peak isometric torque was greater for the Taekwondo athletes compared with the non-athlete group ($296.29{\pm}45.13Nm$ and $199.58{\pm}25.23Nm$, respectively; p<.05) and the estimated optimum knee joint angle was larger for the Taekwondo athletes compared with the non-athlete group ($78.47{\pm}5.14^{\circ}$ and $67.54{\pm}5.77^{\circ}$, respectively; p<.05). Conclusion : The results of this study suggests that, compared with non-athletes, Taekwondo athletes have stronger knee extensor strength at all hip-knee joint angle combinations as well as longer optimum muscle length, which might be optimized for the event-specific required performance through prolonged training period.

Molecular Typing of Pseudomonas aeruginosa by Randomly Amplified Polymorphic DNA

  • Byoung-Seon Yang
    • Biomedical Science Letters
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    • v.9 no.4
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    • pp.183-187
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    • 2003
  • Pseudomonas aerugionsa is a commonly isolated nosocomial pathogen. DNA fingerprinting of P. aerugionsa is examined by randomly amplified polymorphic DNA (RAPD). In this study, P. aeruginosa were isolated from environmental and clinical specimens and the molecular typing of the microorganisms was investigated by RAPD. Thirty strains of P. aeruginosa were selected from the strains isolated formerly and submitted for type identification to the University Hospital. 15 strains of P. aeruginosa were received from Chungnam University Hospital and 14 strains from Gyeongsang University Hospital. DNA of P. aeruginosa was extracted by Qiagen genomic DNA kit. PCR mixtures were set up and incubated, Reactions mixtures were made to be optimal for P. aeruginosa. RAPD typing analysis was carried out by the multivariate statistical program (MVSP) V3.0. RAPD type I was the most common pattern and included 23 strains. Most of strains from Gyeongsang University Hospital belonged to RAPD type lb and 15 strains from Chungnam University Hospital to RAPD type I or II. RAPD typing of P. aeruginosa isolated from the environmental and clinical specimens was very simple and reproducible.

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ON DISCONTINUOUS ELLIPTIC PROBLEMS INVOLVING THE FRACTIONAL p-LAPLACIAN IN ℝN

  • Kim, In Hyoun;Kim, Yun-Ho;Park, Kisoeb
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.6
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    • pp.1869-1889
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    • 2018
  • We are concerned with the following fractional p-Laplacian inclusion: $$(-{\Delta})^s_pu+V(x){\mid}u{\mid}^{p-2}u{\in}{\lambda}[{\underline{f}}(x,u(x)),\;{\bar{f}}(s,u(x))]$$ in ${\mathbb{R}}^N$, where $(-{\Delta})^s_p$ is the fractional p-Laplacian operator, 0 < s < 1 < p < $+{\infty}$, sp < N, and $f:{\mathbb{R}}^N{\times}{\mathbb{R}}{\rightarrow}{\mathbb{R}}$ is measurable with respect to each variable separately. We show that our problem with the discontinuous nonlinearity f admits at least one or two nontrivial weak solutions. In order to do this, the main tool is the Berkovits-Tienari degree theory for weakly upper semicontinuous set-valued operators. In addition, our main assertions continue to hold when $(-{\Delta})^s_pu$ is replaced by any non-local integro-differential operator.

Automatic P/PI Speed Controller Design for Industry Servo Drives (산업용 서보 구동 시스템을 위한 자동 P/PI 속도 제어기 설계)

  • 배상규;석줄기;김경태;이동춘
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.52 no.12
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    • pp.616-623
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    • 2003
  • Conventional P/PI speed controller of today's servo drives should be manually tuned the controller switching set-point by trial-and-errors, which may translate the drive system down-time and loss of productivity. The adjustable drive performance is heavily dependent on the quality of the expert knowledge and becomes inadequate in applications where the operating conditions change in a wide range, i.e., tracking command, acceleration/deceleration time, and load disturbances. In this paper, the demands on simple controls/setup are discussed for industry servo drives. Analyzing the frequency content of motor torque command, P/PI control mode switching is automatically performed with some prior knowledge of the mechanical dynamics. The dynamic performance of the proposed scheme assures a desired tracking response curve with minimal oscillation and settling time over the whole operating conditions. For comprehensive comparison of traditional P/PI control scheme, extensive test is carried out on actual servo system.

EXISTENCE OF GLOBAL SOLUTIONS TO SOME NONLINEAR EQUATIONS ON LOCALLY FINITE GRAPHS

  • Chang, Yanxun;Zhang, Xiaoxiao
    • Journal of the Korean Mathematical Society
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    • v.58 no.3
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    • pp.703-722
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    • 2021
  • Let G = (V, E) be a connected locally finite and weighted graph, ∆p be the p-th graph Laplacian. Consider the p-th nonlinear equation -∆pu + h|u|p-2u = f(x, u) on G, where p > 2, h, f satisfy certain assumptions. Grigor'yan-Lin-Yang [24] proved the existence of the solution to the above nonlinear equation in a bounded domain Ω ⊂ V. In this paper, we show that there exists a strictly positive solution on the infinite set V to the above nonlinear equation by modifying some conditions in [24]. To the m-order differential operator 𝓛m,p, we also prove the existence of the nontrivial solution to the analogous nonlinear equation.

ON ESTIMATION OF UNIFORM CONVERGENCE OF ANALYTIC FUNCTIONS BY (p, q)-BERNSTEIN OPERATORS

  • Mursaleen, M.;Khan, Faisal;Saif, Mohd;Khan, Abdul Hakim
    • Korean Journal of Mathematics
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    • v.27 no.2
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    • pp.505-514
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    • 2019
  • In this paper we study the approximation properties of a continuous function by the sequence of (p, q)-Bernstein operators for q > p > 1. We obtain bounds of (p, q)-Bernstein operators. Further we prove that if a continuous function admits an analytic continuation into the disk $\{z:{\mid}z{\mid}{\leq}{\rho}\}$, then $B^n_{p,q}(g;z){\rightarrow}g(z)(n{\rightarrow}{\infty})$ uniformly on any compact set in the given disk $\{z:{\mid}z{\mid}{\leq}{\rho}\}$, ${\rho}>0$.

Crystal Structure of p97-N/D1 Hexamer Complexed with FAF1 UBX Domain

  • Wonchull Kang
    • Journal of the Korean Chemical Society
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    • v.67 no.5
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    • pp.348-352
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    • 2023
  • p97, a universally conserved AAA+ ATPase, holds a central position in the ubiquitin-proteasome system, orchestrating myriad cellular activities with significant therapeutic implications. This protein primarily interacts with a diverse set of adaptor proteins through its N-terminal domain (NTD), which is structurally located at the periphery of the D1 hexamer ring. While there have been numerous structural elucidations of p97 complexed with adaptor proteins, the stoichiometry has remained elusive. In this work, we present the crystal structure of the p97-N/D1 hexamer bound to the FAF1-UBX domain at a resolution of 3.1 Å. Our findings reveal a 6:6 stoichiometry between the p97 hexamer and FAF1-UBX domain, deepening our understanding from preceding structural studies related to p97-NTD and UBX domain-containing proteins. These insights lay the groundwork for potential therapeutic interventions addressing cancer and neurodegenerative diseases.

MULTIPLIERS OF DIRICHLET-TYPE SUBSPACES OF BLOCH SPACE

  • Li, Songxiao;Lou, Zengjian;Shen, Conghui
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.2
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    • pp.429-441
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    • 2020
  • Let M(X, Y) denote the space of multipliers from X to Y, where X and Y are analytic function spaces. As we known, for Dirichlet-type spaces 𝓓αp, M(𝓓p-1p, 𝓓q-1q) = {0}, if p ≠ q, 0 < p, q < ∞. If 0 < p, q < ∞, p ≠ q, 0 < s < 1 such that p + s, q + s > 1, then M(𝓓p-2+sp, 𝓓q-2+sq) = {0}. However, X ∩ 𝓓p-1p ⊆ X ∩ 𝓓q-1q and X ∩ 𝓓p-2+sp ⊆ X ∩ 𝓓q-2+sp whenever X is a subspace of the Bloch space 𝓑 and 0 < p ≤ q < ∞. This says that the set of multipliers M(X ∩ 𝓓 p-2+sp, X∩𝓓q-2+sq) is nontrivial. In this paper, we study the multipliers M(X ∩ 𝓓p-2+sp, X ∩ 𝓓q-2+sq) for distinct classical subspaces X of the Bloch space 𝓑, where X = 𝓑, BMOA or 𝓗.

$L^p$ 공간의 가분성에 관한 연구

  • 김만호
    • The Mathematical Education
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    • v.21 no.3
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    • pp.7-11
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    • 1983
  • A measurable function f defined on a measurable subset A of the real line R is called pth power summable on A if │f│$^{p}$ is integrable on A and the set of all pth power summable functions on A is denoted by L$^{p}$ (A). For each member f in L$^{p}$ (A), we define ∥f∥$_{p}$ =(equation omitted) For real numbers p and q where (equation omitted) and (equation omitted), we discuss the Holder's inequality ∥fg∥$_1$<∥f∥$_{p}$ ∥g∥$_{q}$ , f$\in$L$^{p}$ (A), g$\in$L$^{q}$ (A) and the Minkowski inequality ∥+g∥$_{p}$ <∥f∥$_{p}$ +∥g∥$_{p}$ , f,g$\in$L$^{p}$ (A). In this paper also discuss that L$_{p}$ (A) becomes a metric space with the metric $\rho$ : L$^{p}$ (A) $\times$L$^{p}$ (A) longrightarrow R where $\rho$(f,g)=∥f-g∥$_{p}$ , f,g$\in$L$^{p}$ (A). Then, in this paper prove the Riesz-Fischer theorem, i.e., the space L$^{p}$ (A) is complete and that the space L$^{p}$ (A) is separable.

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