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Journal Cover Journal of Modern Mathematics Frontier
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  This is an Open Access Journal Open Access journal
   ISSN (Print) 2227-3743 - ISSN (Online) 2227-3751
   Published by Science and Eng Pub Co. Homepage  [48 journals]
  • Mathematical Model of Adaptation

    • Abstract: Mathematical Model of Adaptation
      Pages 1-13
      Author Konstantin Ivano
      Adaptation is an accommodation of system to external conditions. Adaptation is a widespread natural phenomenon. Simple one-parametric adaptation occurs in the physics (for example, action is equal to counteraction). Adaptation has the wide circulation in economics (for example, balance of a supply and demand). Most brightly multiple parameter adaptation is appeared in biology and physiology. However till now there was no trying of creation of the generalized mathematical apparatus of adaptation. For the first time the mathematical description of two-parametric adaptation (force and speed) has been applied to a discovery «Effect of Force Adaptation in Mechanics». The mathematical model of the adaptive mechanism which independently changes speed of motion under the action of external loading has been created. The adaptation mathematical apparatus has been used in hydraulics and in the electrical engineering. Obviously there is a generalized mathematical regularity of adaptation.
      PubDate: 2016-0
  • Method of Continuous Representation of Functions Having Real and Imaginary

    • Abstract: Method of Continuous Representation of Functions Having Real and Imaginary Parts
      Pages 14-20
      Author Konstantin Ivano
      Method of graphic representation of function which accepts real and imaginary values in the full range of values of argument is presented. Imaginary values of function are represented by complex numbers. The method axes contain two mutually perpendicular real axes and imaginary axis which is perpendicular to the real axes. The real part of a complex number is postponed on horizontal real axis. The imaginary part of complex number is postponed on imaginary axis. The real part of function is represented in vertical real plane. The imaginary part of function is represented in horizontal imaginary plane. The method allows building the full graphic representation of function within the full range of argument change. By means of a method new properties are found.
      PubDate: 2016-0
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