Mathematics and Computer Science

Volume 1, Issue 4, November 2016

  • Comparison of Audio Speech Cryptosystem Using 2-D Chaotic Map Algorithms

    Mahmoud Farouk, Osama Faragallah, Osama Elshakankiry, Ahmed Elmhalaway

    Issue: Volume 1, Issue 4, November 2016
    Pages: 66-81
    Received: 30 August 2016
    Accepted: 8 September 2016
    Published: 10 October 2016
    DOI: 10.11648/j.mcs.20160104.11
    Abstract: This paper presents a comparison between different audio speech encryption and decryption techniques for audio speech signals based on 2-D chaotic map algorithms with time and transform domains in a search for best of them and study advantages and disadvantages for each of them. Chaotic algorithms will be used because they have advantages of its ca... Show More
  • The Gray Segmentation of Color Image Based on Level Set Method

    Wang Wenjie, Feng Jianhu

    Issue: Volume 1, Issue 4, November 2016
    Pages: 82-85
    Received: 4 July 2016
    Accepted: 20 July 2016
    Published: 18 October 2016
    DOI: 10.11648/j.mcs.20160104.12
    Abstract: Firstly, the flaw of usual colored image to gray was discussed. And a new method of colored image to gray based on gradient domain was proposed. Secondly, the gray image was segmented using the level set method. Finally, it was compared the method of this paper with the traditional level set method. The numerical examples shown that the new method ... Show More
  • Hermite-Hadamard Type Integral Inequalities for Log-η-Convex Functions

    Mohsen Rostamian Delavar, Farhad Sajadian

    Issue: Volume 1, Issue 4, November 2016
    Pages: 86-92
    Received: 9 September 2016
    Accepted: 17 October 2016
    Published: 9 November 2016
    DOI: 10.11648/j.mcs.20160104.13
    Abstract: In this paper by using the concept of log-η-convexity of functions some interesting inequalities are investigated. In fact new Hermite-Hadamard type integral inequalities involving log-η-convex function are established. The obtained results have as particular cases those previously obtained for log-convex
  • The New Proof of Ptolemy’s Theorem & Nine Point Circle Theorem

    Dasari Naga Vijay Krishna

    Issue: Volume 1, Issue 4, November 2016
    Pages: 93-100
    Received: 31 August 2016
    Accepted: 18 October 2016
    Published: 14 December 2016
    DOI: 10.11648/j.mcs.20160104.14
    Abstract: The main purpose of the paper is to present a new proof of the two celebrated theorems: one is “Ptolemy's Theorem” which explains the relation between the sides and diagonals of a cyclic quadrilateral and another is “Nine Point Circle Theorem” which states that in any arbitrary triangle the three midpoints of the sides, the three feet of altitudes,... Show More
  • Computing Energy and Some Topological Indices of

    Mohammad Javad Nikmehr, Najmeh Soleimani

    Issue: Volume 1, Issue 4, November 2016
    Pages: 101-107
    Received: 3 September 2016
    Accepted: 16 November 2016
    Published: 20 December 2016
    DOI: 10.11648/j.mcs.20160104.15
    Abstract: For a commutative ring , the total graph of which denoted by , is a graph with all elements of R as vertices, and two distinct vertices are adjacent if and only if , where denotes the set of zero-divisors of R. In an earlier study, we computed Wiener, hyper-Wiener, reverse Wiener, Randic ́, Zagreb, and indices of zero-divisor graph. In this study, some computer programs are prepared to calculate the zero-divisors and adjacency matrix of the given graph which, apply these programs to compute the energy and first edge-Wiener, sum-connectivity, harmonic, augmented Zagreb and hyper-Zagreb indices.
  • Analysis of Factors Influencing the Yield of Manihot esculenta in Umudike, Abia State, Nigeria

    Victoria Matthew Akpan

    Issue: Volume 1, Issue 4, November 2016
    Pages: 108-112
    Received: 6 September 2016
    Accepted: 8 November 2016
    Published: 21 December 2016
    DOI: 10.11648/j.mcs.20160104.16
    Abstract: Manihot esculenta popularly called Cassava is a root tuber that is highly consumed. It is one of the staple foods commonly grown in the tropical region found to be readily available and constitutes economical raw material that can sustain many industries. Many factors affect its yield, three of these factors: cassava type, planting season, soil com... Show More