• Title/Summary/Keyword: 2-1 norm

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FUZZY ALGEBRAS ON K(G)-ALGEBRAS

  • Cho Yong-Uk;Jun Young-Bae
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.549-555
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    • 2006
  • Using a t-norm, the notion of T-fuzzy subalgebras of right K(G)-algebras is introduced, and fundamental properties are investigated. The fact that T-fuzzy subalgebras of a right K(G)-algebra form a complete lattice is proved.

SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS IN $L^p$ SPACES

  • Ha, Ki-Sik;Shin, Ki-Yeon
    • Communications of the Korean Mathematical Society
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    • v.9 no.2
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    • pp.303-315
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    • 1994
  • Let X be a real Banach space with norm ∥ㆍ∥. Let T > 0, r ≥a be fixed constants. We denote by L/sup p/ the usual L/sup p/( -r, 0; X) with norm ∥ㆍ∥/sub p/ for 1 ≤p < ∞. Our object is to study the existence of solutions of nonlinear functional evolution equations of the type (FDE) x'(t) + A(t)x(t) = G(t, x/sub t/), 0 ≤t ≤T, x/sub 0/ = ø.(omitted)

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An analysis of pinch strength and EMG parameters for CTS group

  • Lee, H.I.;Lee, D.C.;Lee, S.D.
    • Journal of the Ergonomics Society of Korea
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    • v.15 no.2
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    • pp.139-147
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    • 1996
  • It is known fact that the CTS patients have lower pinch strength than the normal people. And we can assume that the sensory nerve action potential(SNAP) and the nerve conduction velocity(NCV) of the CTS group are lower or slower than the normal subjects. This paper analysed the grip strength and performed EMG experiment for the group Norm, G1 and G2. The results are as follows: 1) CTS patients have lower pinch strength than normal people. 2) There was no significant difference on SNAP between the CTS group and the normal group. 3) There was significant difference on NCV among Norm, G1, and G2 group. Especially, significant level was higher in the evening after the continuous use of wrist.

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DSP Implementation of The Position Location System in Underwater Channel Environments (수중환경에서 위치추적 시스템의 DSP 구현)

  • Ko, Hak-Lim;Lim, Yong-Kon;Lee, Deok-Hwan
    • The Journal of the Acoustical Society of Korea
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    • v.26 no.1
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    • pp.48-54
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    • 2007
  • In this paper we have implemented a 3-D PL (Position Location) system to estimate the 3-dimensional position of a moving object in underwater environments. In this research, we let four sensors fixed in different Positions and moving sensorsto communicate with each other to find the 3-dementianal positions for both the fixed and moving objects. Using this we were also able to control the moving object remotely. When finding the position, we calculated the norm of the Jacobian matrix every iteration in the Newton algorithm. Also by using a different initial value for calculating the solution when the norm became higher than the critical value and the solution from the inverse matrix became unstable, we could find a more reliable position for the moving object. The proposed algorithm was used in implementing a DSP system capable of real-time position location. To verify the performance, experiments were done in a water tank. As a result we could see that our system could located the position of an object every 2 seconds with a error range of 5cm.

TURÁN-TYPE Lr-INEQUALITIES FOR POLAR DERIVATIVE OF A POLYNOMIAL

  • Robinson Soraisam;Mayanglambam Singhajit Singh;Barchand Chanam
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.3
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    • pp.731-751
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    • 2023
  • If p(z) is a polynomial of degree n having all its zeros in |z| ≤ k, k ≥ 1, then for any complex number α with |α| ≥ k, and r ≥ 1, Aziz [1] proved $$\left{{\int}_{0}^{2{\pi}}\,{\left|1+k^ne^{i{\theta}}\right|^r}\,d{\theta}\right}^{\frac{1}{r}}\;{\max\limits_{{\mid}z{\mid}=1}}\,{\mid}p^{\prime}(z){\mid}\,{\geq}\,n\,\left{{\int}_{0}^{2{\pi}}\,{\left|p(e^{i{\theta}})\right|^r\,d{\theta}\right}^{\frac{1}{r}}.$$ In this paper, we obtain an improved extension of the above inequality into polar derivative. Further, we also extend an inequality on polar derivative recently proved by Rather et al. [20] into Lr-norm. Our results not only extend some known polynomial inequalities, but also reduce to some interesting results as particular cases.

How Should We Measure Knowledge Transfer? : Comparison of the Knowledge source's and the Recipient's Perspectives (지식이전행위, 어떻게 측정해야 하나? -제공자와 수용자의 관점 비교)

  • Kang, Minhyung
    • Knowledge Management Research
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    • v.12 no.2
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    • pp.1-16
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    • 2011
  • This study examined the influence of the antecedents of knowledge transfer from both the knowledge source's and recipient's perspectives using a social network survey. Prior research usually focused on either perspective of the knowledge source or recipient, thus could not include both. Analyzing the responses from 335 R&D employees of the five firms, the study showed that all antecedents of knowledge transfer - reward, reciprocity, subjective norm, and perceived behavioral control - are influential on knowledge transfer from the knowledge source's perspective. However, from the knowledge recipient's perspective, perceived behavioral control was influential on the quality of knowledge transfer and subjective norm was on the number of knowledge recipients. Expected reward and reciprocity did not show significant influence. This study proved that the necessity of considering both the knowledge source's and the recipient's perspectives when measuring knowledge transfer and the importance of intrinsic motivations, such as subjective norm and perceived behavioral control.

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STABILITY IN THE α-NORM FOR SOME STOCHASTIC PARTIAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS

  • Diop, Mamadou Abdoul;Ezzinbi, Khalil;Lo, Modou
    • Journal of the Korean Mathematical Society
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    • v.56 no.1
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    • pp.149-167
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    • 2019
  • In this work, we study the existence, uniqueness and stability in the ${\alpha}$-norm of solutions for some stochastic partial functional integrodifferential equations. We suppose that the linear part has an analytic resolvent operator in the sense given in Grimmer [8] and the nonlinear part satisfies a $H{\ddot{o}}lder$ type condition with respect to the ${\alpha}$-norm associated to the linear part. Firstly, we study the existence of the mild solutions. Secondly, we study the exponential stability in pth moment (p > 2). Our results are illustrated by an example. This work extends many previous results on stochastic partial functional differential equations.

A Study on the X-ray Diffractometry of Rock Minelals (주요암석광물(主要岩石鑛物)에 대(對)한 X 선적(線的) 특성(特性)에 관(關)한 연구(硏究))

  • Choi, Dae Ung;Hwan, Kyung Sun;Shin, Jae Sung
    • Korean Journal of Soil Science and Fertilizer
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    • v.6 no.4
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    • pp.199-204
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    • 1973
  • This work was carried out to establish the norm for identifying the rock forming minerals by the X-ray diffraction analysis with powdered rock samples. This study covered the eleven major rocks in Korea. The results are summarized as follows. 1. The norm for identifying the rock forming minerals based on X-ray diffraction data was established. 2. It was found that the rock forming minerals could be identified by the norm.

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Block Sparse Low-rank Matrix Decomposition based Visual Defect Inspection of Rail Track Surfaces

  • Zhang, Linna;Chen, Shiming;Cen, Yigang;Cen, Yi;Wang, Hengyou;Zeng, Ming
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.12
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    • pp.6043-6062
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    • 2019
  • Low-rank matrix decomposition has shown its capability in many applications such as image in-painting, de-noising, background reconstruction and defect detection etc. In this paper, we consider the texture background of rail track images and the sparse foreground of the defects to construct a low-rank matrix decomposition model with block sparsity for defect inspection of rail tracks, which jointly minimizes the nuclear norm and the 2-1 norm. Similar to ADM, an alternative method is proposed in this study to solve the optimization problem. After image decomposition, the defect areas in the resulting low-rank image will form dark stripes that horizontally cross the entire image, indicating the preciselocations of the defects. Finally, a two-stage defect extraction method is proposed to locate the defect areas. The experimental results of the two datasets show that our algorithm achieved better performance compared with other methods.