Mathematics Letters

Volume 5, Issue 2, June 2019

  • The Inconsistency Problem of Riemann Zeta Function Equation

    Mei Xiaochun

    Issue: Volume 5, Issue 2, June 2019
    Pages: 13-22
    Received: Jul. 08, 2019
    Accepted: Jul. 31, 2019
    Published: Aug. 13, 2019
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    Abstract: Four basic problems in Riemann’s original paper are found. The Riemann hypothesis becomes meaningless. 1. It is proved that on the real axis of complex plane, the Riemann Zeta function equation holds only at point Re(s)=1/2 (s = a+ib). However, at this point, the Zeta function is infinite, rather than zero. At other points of real axis, the two sid... Show More
  • Mixture Model Clustering Using Variable Data Segmentation and Model Selection: A Case Study of Genetic Algorithm

    Maruf Gogebakan, Hamza Erol

    Issue: Volume 5, Issue 2, June 2019
    Pages: 23-32
    Received: Aug. 23, 2019
    Accepted: Sep. 06, 2019
    Published: Sep. 23, 2019
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    Abstract: A genetic algorithm for mixture model clustering using variable data segmentation and model selection is proposed in this study. Principle of the method is demonstrated on mixture model clustering of Ruspini data set. The segment numbers of the variables in the data set were determined and the variables were converted into categorical variables. It... Show More