Mathematical Journal of Interdisciplinary Sciences

Journal Information
ISSN / EISSN : 22789561 / 2278957X
Current Publisher: Chitkara University Publications (10.15415)
Total articles ≅ 96
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Latest articles in this journal

M. Kaliraja, K. Perarasan
Mathematical Journal of Interdisciplinary Sciences, Volume 8, pp 1-5; doi:10.15415/mjis.2019.81001

In the current manuscript, we have demonstrated the recent generalization of Weibull-G exponential distribution (three-parameter) and it is a very familiar distribution as compared to other distribution.It has been found that Weibull-G exponential distribution (WGED) can be utilized pretty efficiently to evaluate the biological data in the position of gamma and log-normal Weibull distributions. It has two shape parameters and the three scale parameters namely, a, b, λ. Some of its statistical properties are acquired, which includes reserved hazard function, probability-density function, hazard-rate function and survival function. Our aim is to shore-up the results of life-time using three-parameter Weibull generalized exponential distribution. Hence, the corresponding probability functions, hazard-rate function, survival function as well as reserved hazard-rate function has been analyzed in the 3 weeks of high-intensity exercise training in short-term. The outcomes of the present study supporting the results of life-time data that the interim elevated intensity exercise activity attenuated an acute exercise induced growth hormone release.
Nachandiya Nathan, Samaila Andrew Mamza
Mathematical Journal of Interdisciplinary Sciences, Volume 8, pp 29-35; doi:10.15415/mjis.2019.81005

The term random number has been used by many scholars to explain the behaviour of a stochastic system. Many of such scholars with statistical or mathematical background view it as an organized set of numbers produced by a function in a numerical way in which the next number to be produced is unknown or unpredictable. This paper produced software that generates a sequence of random number and also compared the algorithm with the commonly used method of random number generator. The three most common methods selected were the Mid Square method, Fibonacci method and Linear Congruential Generator Method (LCG). The result shows that the LCG provides a more acceptable result in terms of speed, long cycle, uniformity and independence Applications of this random numbers can be seen in Monte Carlo simulations, simulation or modelling, password generation, cryptography and online games.
Banajit Sarmah, Anuradha Devi, Jnanjyoti Sarma
Mathematical Journal of Interdisciplinary Sciences, Volume 8, pp 21-27; doi:10.15415/mjis.2019.81004

A fluid model is considered to study the nonlinear dust- acoustic waves (DAW) in magnetized dusty plasma. The model consists of dust articles having negative charge, nonthermal ions, and Boltzmann electrons. Sagdeev Potential equation is derived in the form of an energy integral by applying nonperturbative approach. The pseudopotential (Sagdeev potential) profile is analyzed to study the characteristic of the solitary waves. The study has been made related to the transition of the DAW and the corresponding characters by observing the variation of amplitudes and width of the solitons with Mach number, temperature ratio, density ratio, concentration of nonthermal ions, and the direction cosine. The parametric ranges are estimated numerically to confirm the existence of solitary waves of arbitrary amplitude.
P. Murugarajan, R. Aruldoss
Mathematical Journal of Interdisciplinary Sciences, Volume 8, pp 15-19; doi:10.15415/mjis.2019.81003

In this paper, prime coloring and its chromatic number of some crossing number zero graphs are depicted and its results are vali-dated with few theorems. Prime Coloring is defined as G be a loop less and Without multiple edges with n distinct Vertices on Color class C={c1,c2,c3,…} a bijection ψ:V {c1,c2,c3,…} if for each edge e = cicj ,i≠j , gcd{ ψ (ci), ψ (cj)}=1, ψ (ci) and ψ (cj) receive distinct Colors. The Chromatic number of Prime coloring is minimum cardinality taken by all the Prime colors. It is denoted by η (G).
Gautam S. Hathiwala, Devbhadra V. Shah
Mathematical Journal of Interdisciplinary Sciences, Volume 6, pp 37-48; doi:10.15415/mjis.2017.61004

The sequence {Tn} of Tetranacci numbers is defined by recurrence relation Tn= Tn-1 + Tn-2 + Tn-3 + Tn-4; n≥4 with initial condition T0=T1=T2=0 and T3=1. In this Paper, we obtain the explicit formulla-Binet-type formula for Tn by two different methods. We use the concept of Eigen decomposition as well as of generating functions to obtain the result.
Ranjit K Kalita, Jnanjyoti Sarma
Mathematical Journal of Interdisciplinary Sciences, Volume 7, pp 81-92; doi:10.15415/mjis.2019.72011

In multicomponent dusty plasma, the Sagdeev Potential (SP) approach is employed to formulate the Energy Equation for arbitrary amplitude dust acoustic waves (DAWs), where an amount of electrons is trapped in potential well. The dependence of amplitude and width of the solitons of Sagdeev Potential on plasma parameters is widely discussed. The range of Mach number has determined for solitary waves (SWs) with the help of critical Mach number. The solution of the Energy Equation obtained, has been discussed by expanding the expression for SP in the higher terms of φ . The different solutions of Energy Equation give us SWs, breakable waves, collapsible waves and SWs with spiky and explosive nature. The role of temperature ratio on the transformation of SWs to collapsible waves is discussed. With the help of standard values of plasma parameters relevant to such plasma environment, the results so obtained, are discussed. These results may help us to explain the nature of SWs in different astrophysical situations.
P Gayathri, K R Subramanian
Mathematical Journal of Interdisciplinary Sciences, Volume 7, pp 69-76; doi:10.15415/mjis.2019.72009

Modelling techniques are applied in agriculture field. Yield of rice is modelled using the method of least squares in Time Series Analysis and linear equations are fitted for the state-wise average yield of crops in kg per hectare in India and also for the average yield of various principal crops in Tamil Nadu.
B Ramoorthy Reddy, C Jaya Subba Reddy
Mathematical Journal of Interdisciplinary Sciences, Volume 7, pp 117-120; doi:10.15415/mjis.2019.72015

Kalpesh S Tailor
Mathematical Journal of Interdisciplinary Sciences, Volume 7, pp 157-160; doi:10.15415/mjis.2019.72020

An SQC chart is a graphical tool for representation of the data for knowing the extent of variations from the expected standard. This technique was first suggested by W.A. Shewhart of Bell Telephone Company based on 3σ limits. M. Harry, the engineer of Motorola has introduced the concept of six sigma in 1980. In 6σ limits, it is presumed to attain 3.4 or less number of defects per million of opportunities. Naik V.D and Desai J.M proposed an alternative of normal distribution, which is named as moderate distribution. The parameters of this distribution are mean and mean deviation. Naik V.D and Tailor K.S. have suggested the concept of 3-delta control limits and developed various control charts based on this distribution. Using these concepts, control limits based on 6-delta is suggested in this paper. Also the moving average chart is studied by using 6-delta methodology. A ready available table for mean deviation is prepared for the quality control experts for taking fast actions.
R Gopi
Mathematical Journal of Interdisciplinary Sciences, Volume 7, pp 77-80; doi:10.15415/mjis.2019.72010

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