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Generation of two-variable functions based on the polynomial approximation

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  • Kobayashi, Yasuhiro
  • Ohkita, Masaaki
  • Inoue, Michio

Abstract

This paper describes how to generate uniformly continuous functions of two variables without making any vertex. In this system, all functions are obtained as an algebraic sum of linearly independent two-variable polynomials with each weight. Then, the polynomials are given by simulating nonlinear currents passing through semiconductors with dual control electrodes in their uniformly continuous regions. The proper weights can be uniquely determined by solving a matrix equation related to the characteristics of both the desired function and the semiconductors used in this system. Different functions can be produced by adjusting the weights. The usefulness of this system is successfully proved by experimental results.

Suggested Citation

  • Kobayashi, Yasuhiro & Ohkita, Masaaki & Inoue, Michio, 1977. "Generation of two-variable functions based on the polynomial approximation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 19(2), pages 141-149.
    • Handle: RePEc:eee:matcom:v:19:y:1977:i:2:p:141-149
    DOI: 10.1016/0378-4754(77)90006-4
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    References listed on IDEAS

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    1. Kobayashi∗, Yasuhiro & Ohkita, Masaaki & Inoue, Michio & Nakamura, Masao, 1976. "Separate and/or simultaneous generations of non-linear functions inherent in non-ohmic resistivities," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 18(1), pages 51-61.
    2. Kobayashi, Yasuhiro & Ohkita, Masaaki & Inoue, Michio, 1976. "Fractional power approximation and its generation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 18(2), pages 115-122.
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    1. Kobayashi, Yasuhiro & Ohkita, Masaaki & Inoue, Michio, 1978. "Fractional power approximations of elliptic integrals and bessel functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 20(4), pages 285-290.
    2. Kobayashi, Y. & Ohkita, M. & Inoue, M., 1979. "On the use of an exponential function in approximation of elliptic integrals," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 21(2), pages 226-230.

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