American Journal of Applied Mathematics

Volume 9, Issue 4, August 2021

  • Pressure Control Design of High-Pressure Fuel Pipe

    Shi Wei, Chunyong Wang, Tailin Cen, Yuhua Su

    Issue: Volume 9, Issue 4, August 2021
    Pages: 92-103
    Received: 7 June 2021
    Accepted: 28 June 2021
    Published: 5 July 2021
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    Abstract: In order to ensure the normal operation of the engine, the stability of the fuel supply system must be ensured. The fuel supply system needs to obtain fuel from the outside, and then pressurized into the high-pressure oil pipe, and then input into the engine cylinder. Therefore, the fuel parameters in the components of the fuel supply system affect... Show More
  • On the Unique Solvability of the Generalized Absolute Value Matrix Equation

    Kai Xie

    Issue: Volume 9, Issue 4, August 2021
    Pages: 104-107
    Received: 13 July 2021
    Accepted: 26 July 2021
    Published: 2 August 2021
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    Abstract: The generalized absolute value matrix equation has application in a variety of optimization problems, its unique solvability is still on the way. In this note, the unique solvability of the generalized absolute value matrix equation is considered. A new unique solvability of generalized absolute value matrix equation is given. The obtained result c... Show More
  • Modelling Forest Growth Indices on Vegetation Pattern Formation

    Peter Kwesi Nyarko, Christiana Cynthia Nyarko

    Issue: Volume 9, Issue 4, August 2021
    Pages: 108-122
    Received: 16 July 2021
    Accepted: 24 July 2021
    Published: 2 August 2021
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    Abstract: Forest dynamics is mostly concerned with the changes in forest structure and composition over time, including its behavior in response to anthropogenic and natural destructions which is one of the primary evidence of forest change. This study presents the dynamics of vegetation pattern formation taken into account all the interaction measure indice... Show More
  • An Axiomatic Approach to Gröbner Basis Theory by Examining Several Reduction Principles

    Günter Landsmann, Christoph Fürst

    Issue: Volume 9, Issue 4, August 2021
    Pages: 123-140
    Received: 28 May 2021
    Accepted: 26 June 2021
    Published: 2 August 2021
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    Abstract: Several variants of the classical theory of Gröbner bases can be found in the literature. They come, depending on the structure they operate on, with their own specific peculiarity. Setting up an expedient reduction concept depends on the arithmetic equipment that is provided by the structure in question. Often it is necessary to introduce a term o... Show More
  • The Orthogonality of Two-scale Three-dimensional Eight-direction Wavelet

    Jing Zhang, Gang Wang, Chuanyan Hou, Xiaoying Yang

    Issue: Volume 9, Issue 4, August 2021
    Pages: 141-155
    Received: 14 August 2021
    Accepted: 26 August 2021
    Published: 31 August 2021
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    Abstract: The construction of wavelets is a key problem in wavelet analysis. In the background of the one-dimensional double wavelet theory and the one dimensional biorthogonal bidirectional wavelet construction theory, this paper extends the one-dimensional bidirectional wavelet to the two-scale three-dimensional eight-direction biorthogonal wavelet. By usi... Show More