• 제목/요약/키워드: M-continuous functions

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Manufacture of Custom IC and System for Multi-channel Biotelemeter (다채널 바이오텔레미터 개발을 위한 전용 IC 및 시스템 제작)

  • 서희돈;박종대
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.8
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    • pp.172-180
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    • 1994
  • Implantable biotelemetry systems are indispensable tools not only in animal research but also in clinical medicine as such systems enable the acquisition of otherwise unavailable physiological data. We present the manufacture of CMOS IC and its system for implantable multichannel biotelemeter system. The internal circuits of this system are designed not only to achieve as multiple functions and low power dissipation as possible but also to enable continuous measurement of physiological data. Its main functions are to enable continuous measurement of physiological data and to accomplish on-off power swiching of an implantable battery by receiving appropriate commanc signals from an external circuit. The implantable circuits of this system are designed and fabricated on a single silicon chip using $1.5\mu$m n-well CMOS process technology. The total power dissipation of implantable circuits for a continuous operation was 6.7mW and for a stand-by operation was 15.2$\mu$ W. This system used together with approriate sensors is expected to contribute to clinical medicine telemetry system of measuring and wireless transmitting such significant physiological parameters as pressure pH and temperature.

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ON THE DYNAMICAL PROPERTIES OF SOME FUNCTIONS

  • Yoo, Seung-Jae
    • Journal of the Chungcheong Mathematical Society
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    • v.15 no.2
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    • pp.47-56
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    • 2003
  • This note is concerned with some properties of fixed points and periodic points. First, we have constructed a generalized continuous function to give a proof for the fact that, as the reverse of the Sharkovsky theorem[16], for a given positive integer n, there exists a continuous function with a period-n point but no period-m points wherem is a predecessor of n in the Sharkovsky ordering. Also we show that the composition of two transcendental meromorphic functions, one of which has at least three poles, has infinitely many fixed points.

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TIETZE EXTENSION THEOREM FOR ORDERED FUZZY PRE-EXTREMALLY DISCONNECTED SPACES

  • Uma, M.K.;Roja, E.;Balasubramanian, G.
    • East Asian mathematical journal
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    • v.24 no.3
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    • pp.213-221
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    • 2008
  • In this paper, a new class of fuzzy topological spaces called ordered fuzzy pre-extremally disconnected spaces is introduced. Tietze extension theorem for ordered fuzzy pre-extremally disconnected spaces has been discussed as in [9] besides proving several other propositions and lemmas.

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ON MINIMAL PRECONTINUOUS FUNCTIONS

  • Min, Won Keun;Kim, Young Key
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.4
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    • pp.667-673
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    • 2009
  • In this paper, we introduce the notions of minimal precontinuity, m-preclosed graph, almost m-precompact and m-precompact and investigate some properties for such notions.

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DIVIDED DIFFERENCES AND POLYNOMIAL CONVERGENCES

  • PARK, SUK BONG;YOON, GANG JOON;LEE, SEOK-MIN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.20 no.1
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    • pp.1-15
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    • 2016
  • The continuous analysis, such as smoothness and uniform convergence, for polynomials and polynomial-like functions using differential operators have been studied considerably, parallel to the study of discrete analysis for these functions, using difference operators. In this work, for the difference operator ${\nabla}_h$ with size h > 0, we verify that for an integer $m{\geq}0$ and a strictly decreasing sequence $h_n$ converging to zero, a continuous function f(x) satisfying $${\nabla}_{h_n}^{m+1}f(kh_n)=0,\text{ for every }n{\geq}1\text{ and }k{\in}{\mathbb{Z}}$$, turns to be a polynomial of degree ${\leq}m$. The proof used the polynomial convergence, and additionally, we investigated several conditions on convergence to polynomials.

The Image of Derivations on Banach Algebras of Differential Functions

  • Park, Dal-Won
    • Journal of the Chungcheong Mathematical Society
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    • v.2 no.1
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    • pp.81-90
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    • 1989
  • Let $D:C^n(I){\longrightarrow}M$ be a derivation from the Banach algebra of n times continuously differentiable functions on an interval I into a Banach $C^n(I)$-module M. If D is continuous and D(z) is contained in the k-differential subspace, the image of D is contained in the k-differential subspace. The question of when the image of a derivation is contained in the k-differential subspace is discussed.

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