Pure and Applied Mathematics Journal

Special Issue

Abridging over Troubled Water---Scientific Foundation of Engineering Subjects

  • Submission Deadline: 30 January 2015
  • Status: Submission Closed
  • Lead Guest Editor: Shigeru Kanemitsu
About This Special Issue
There is a great gap between the understanding of the basic notions in scientific disciplines by scientists and engineers. Sometimes in engineering disciplines, vague notions are applied without reflection. A typical example would be the heavy use of the Dirac delta function, which is to be understood as distribution, or a naïve idea that A/D to D/A gives rise to the original data A, which is to be A’. In the previous special issue from another publisher, we collected several papers to abridge this gap. In the proposed special issue, we would like to collect papers which are either rather mathematical or more application-oriented endeavors in engineering disciplines. The papers are to be edited so that they abridge the afore-mentioned gap.
Lead Guest Editor
  • Shigeru Kanemitsu

    Graduate School of Advanced Technology, Kinki University, Iizuka, Japan

Guest Editors
  • Mitsuhiko Fujio

    Department of Information Science, Kinki University, Iizuka, Japan

  • Yong Sun

    Department of Electronic Engineering, Kyushu Institute of Technology, Kitakyushu, Japan

  • Haruo Tsukada

    Department of Information Science, Kinki University, Iizuka, Japan

  • Nianliang Wang

    Department of Mathematics, Shangluo University, Shangluo, China

  • Hailong Li

    Department of Mathematics, Weinan Normal University, Weinan, China

  • Guodong Liu

    Department of Mathematics, Huizhou University, Huizhou, China

  • Kalyan Chakraborty

    Harish-Chandra Research Institute, Allahabad, India

Published Articles
  • An Adaptation Method for Removing Arsenate Species from Water Solution

    Sainyam Galhotra , Shigeru Kanemitsu , Hiroyuki Kondo

    Issue: Volume 4, Issue 2-1, March 2015
    Pages: 47-54
    Received: 28 October 2014
    Accepted: 2 March 2015
    Published: 6 March 2015
    DOI: 10.11648/j.pamj.s.2015040201.19
    Abstract: This paper is based on the idea of adaptation under which we mean the replacement of one element in a system with another with similar aspects. The first adaptation comes from the replacement of orthophospheric acid H3PO4 by arsenious acid H3AsO4. There is a close relation between calcium-sulfate and calcium carbonate-arsenate species. The main obj... Show More
  • On Some Point Groups

    Y. Sun , S. Kanemitsu , H. Kitajima

    Issue: Volume 4, Issue 2-1, March 2015
    Pages: 42-46
    Received: 1 February 2015
    Accepted: 1 February 2015
    Published: 12 February 2015
    DOI: 10.11648/j.pamj.s.2015040201.18
    Abstract: In this note, we indicate the coincidence as abstract groups of some point groups which belong to different molecular orbitals. This elucidates somewhat vague presentation in many existing textbooks on molecular orbitals, thus abridging between group theory and quantum chemistry.
  • A Note on the Rank Bounded Distance and Its Algorithms for Cyclic Codes

    Takayasu Kaida , Junru Zheng

    Issue: Volume 4, Issue 2-1, March 2015
    Pages: 36-41
    Received: 22 December 2014
    Accepted: 30 January 2015
    Published: 11 February 2015
    DOI: 10.11648/j.pamj.s.2015040201.17
    Abstract: The minimum distance for linear codes is one of the important parameters. The shift bound is a good lower bound of the minimum distance for cyclic codes, Reed-Muller codes and geometric Goppa codes. It is necessary to construct the maximum value of the independent set for the calculation of the shift bound. However, its computational complexity is ... Show More
  • Codons and Codes

    Kalyan Chakraborty , Shigeru Kanemitsu , Y. Sun

    Issue: Volume 4, Issue 2-1, March 2015
    Pages: 25-29
    Received: 11 December 2014
    Accepted: 13 December 2014
    Published: 27 December 2014
    DOI: 10.11648/j.pamj.s.2015040201.15
    Abstract: In this paper we assemble a few ingredients that are remotely connected to each other, but governed by the rule of coding theory ([1], [12]) and formal language theory, i.e. cyclic codes and DNA codes. Our interest arose from the remark that there exist both linear and circular DNAs in higher living organisms. We state the theory of codes in a wide... Show More
  • Dielectric Properties of Au/C60 (OH) 24-26/Au Structure

    Y. Sun , S. Kanemitsu , K. Kirimoto

    Issue: Volume 4, Issue 2-1, March 2015
    Pages: 18-24
    Received: 26 November 2014
    Accepted: 1 December 2014
    Published: 27 December 2014
    DOI: 10.11648/j.pamj.s.2015040201.14
    Abstract: Dielectric properties of the Au/C60 (OH)24-26/Au structure were studied by measuring a.c. impedance and d.c. current in a wide temperature range. Three dielectric response characteristics were identified from Cole-Cole plots of a.c. impedance and dielectric dissipation factor of the structure. First, the bulk resistance and capacitance of the struc... Show More
  • Tychonoff’s Theorem as a Direct Application of Zorn’s Lemma

    Haruo Tsukada

    Issue: Volume 4, Issue 2-1, March 2015
    Pages: 14-17
    Received: 25 November 2014
    Accepted: 11 December 2014
    Published: 27 December 2014
    DOI: 10.11648/j.pamj.s.2015040201.13
    Abstract: A simple proof of Tychonoff’s theorem (the compactness of the product of compact spaces) as a direct application of Zorn’s lemma is given. In contrast to the classical Cartan-Bourbaki proof which uses Zorn’s lemma twice, our proof uses it only once.
  • Descartes’ Dream: Cartesian Products

    Keiichi Takahashi , Takayasu Kaida

    Issue: Volume 4, Issue 2-1, March 2015
    Pages: 7-13
    Received: 22 November 2014
    Accepted: 2 December 2014
    Published: 27 December 2014
    DOI: 10.11648/j.pamj.s.2015040201.12
    Abstract: In the last century, especially in the last half of the century, there was the paradigm of sectionalism prevailing and sciences and engineering were divided into very small parts which are mutually independent. It was like in Babel where there was no common language to communicate. The purpose of this paper is to present one of the possible glues—t... Show More
  • Applications of the Hurwitz-Lerch Zeta-Function

    Tomihiro Arai , Kalyan Chakraborty , Jing Ma

    Issue: Volume 4, Issue 2-1, March 2015
    Pages: 30-35
    Received: 5 November 2014
    Accepted: 14 November 2014
    Published: 27 December 2014
    DOI: 10.11648/j.pamj.s.2015040201.16
    Abstract: In this paper, we shall exhibit the use of two principles, “principle of decomposition into residue classes” and “binomial principle of analytic continuation” due to Ram Murty and Sinha and indicate a certain distribution property and the functional equation for the Lipschitz-Lerch transcendent at integral arguments ofs. By considering the limiting... Show More
  • Class Number Formula for Certain Imaginary Quadratic Fields

    N. L. Wang , T. Arai

    Issue: Volume 4, Issue 2-1, March 2015
    Pages: 1-6
    Received: 26 October 2014
    Accepted: 6 November 2014
    Published: 29 November 2014
    DOI: 10.11648/j.pamj.s.2015040201.11
    Abstract: In this note we shall show how Carlitz in 1954 could have reached an analogue of the Voronoi congruence in the more difficult case of p≡1(mod4): h(-4p) ≡B(p+1)/2(x4)(mod p), where B(p+1)/2(x4) is the generalized Bernoulli number with x4 being the Kronecker symbol associated to the Gaussian field Q(√-4).