Institute of Mathematics and Applications

Bhubaneshwar, India

Institute of Mathematics and Applications

Bhubaneshwar, India
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Das J.K.,Indian Statistical Institute | Choudhury P.P.,Indian Statistical Institute | Sahoo S.,Institute of Mathematics and Applications
Proceedings - 7th IEEE International Advanced Computing Conference, IACC 2017 | Year: 2017

Firstly, this study proposed a new parallel adder circuit model in Carry Value Transformation (CVT)-Exclusive OR (XOR) paradigm. Secondly, an efficient multiplication algorithm is discussed along with its performance analysis on various inputs selection. Our design of proposed model for the addition of many integer pairs using parallel Cellular Automata Machines (CAMs) can perform the addition in a much better way with setting a preprocessing testing logic in it. CVT and XOR operations together can do the efficient addition of two non-negative integers for any bulk inputs using CAM. Multiplication is the repetitive addition process, which could be designed using recursive use of CAM. Our analysis up to 10 bits selection of all integer pairs suggest that the recursive use of CAM for multiplication becomes much faster in real life scenario for any types of inputs. Further exponential operation is highly needed for various fields of computer science which is also described in this paradigm. © 2017 IEEE.


Sahoo S.K.,Institute of Mathematics and Applications
International Journal of Applied Engineering Research | Year: 2015

Multi-attribute analysis is a useful tool in constructional, economical, managerial, and many other fields. The technique for order preference by similarity to ideal solution (TOPSIS) is one of the most widely used multi attribute decision making method. The fuzzy multi-criteria models in complex decision making and one multiple attributes, TOPSIS approach has been dealt with. In this paper, the triangular fuzzy numbers are converted into intervals using α cuts and calculated the normalized fuzzy numbers. Finally, implementing TOPSIS algorithm with fuzzy data, assessment of houses has been done. To improve the performance of the overall system, the set of important parameters of the decision making system is identified and the results have been tested in numerical example. © Research India Publications.


Mohapatra J.,Institute of Mathematics and Applications | Natesan S.,Indian Institute of Technology Guwahati
International Journal of Computational Methods | Year: 2010

In this article, we consider a defect-correction method based on finite difference scheme for solving a singularly perturbed delay differential equation. We solve the equation using upwind finite difference scheme on piecewise-uniform Shishkin mesh, then apply the defect-correction technique that combines the stability of the upwind scheme and the higher-order central difference scheme. The method is shown to be convergent uniformly in the perturbation parameter and almost second-order convergence measured in the discrete maximum norm is obtained. Numerical results are presented, which are in agreement with the theoretical findings. © 2010 World Scientific Publishing Company.


Mohapatra J.,Institute of Mathematics and Applications | Natesan S.,Indian Institute of Technology Guwahati
Computers and Mathematics with Applications | Year: 2010

In this paper, we present the analysis of an upwind scheme for obtaining the global solution and the normalized flux for a convectiondiffusion two-point boundary value problem. The solution of the upwind scheme is obtained on a suitable nonuniform mesh which is formed by equidistributing the arc-length monitor function. It is shown that the discrete solution obtained by the upwind scheme and the global solution obtained via interpolation converges uniformly with respect to the perturbation parameter. In addition, we prove the uniform first-order convergence of the weighted derivative of the numerical solution on this nonuniform mesh and the uniform convergence of the global normalized flux on the whole domain. Numerical results are presented that demonstrate the sharpness of our results. © 2010 Elsevier Ltd. All rights reserved.


Panda S.,Institute of Mathematics and Applications
Pramana - Journal of Physics | Year: 2010

Chemical potential and internal energy of a noninteracting Fermi gas at low temperature are evaluated using the Sommerfeld method in the fractional-dimensional space. When temperature increases, the chemical potential decreases below the Fermi energy for any dimension equal to 2 and above due to the small entropy, while it increases above the Fermi energy for dimensions below 2 as a result of high entropy. The ranges of validity of the truncated series expansions of these quantities are extended from low to intermediate temperature regime as well as from high to relatively low density regime by using the Padé approximant technique. © Indian Academy of Sciences.


Senapati K.,Institute of Mathematics and Applications | Kar S.,Indian Institute of Technology Kharagpur | Routray A.,Indian Institute of Technology Kharagpur
International Conference on Systems in Medicine and Biology, ICSMB 2010 - Proceedings | Year: 2010

A novel and robust technique is described for removing electroencephalogram (EEG) artifacts resulting from ocular muscles contraction during eye movements. We present a new method to remove ocular artifacts from raw EEG signals. This technique is based on the S-transform (ST), a mathematical operation that produces frequency content at each time point within a time-varying signal. The S-transform generates high magnitude S-coefficients at the instants of artifact generation in the signal. A statistical threshold function has been applied to filter out the artifacts in the S-domain. The major advantage of ST-filtering is that the artifacts may be removed within a narrow time frame, while preserving the frequency information at all other time points. It also preserves the absolutely referenced phase information of the signal after removing the artifacts. © 2010 IEEE.


Das J.K.,Indian Statistical Institute | Choudhury P.P.,Indian Statistical Institute | Sahoo S.,Institute of Mathematics and Applications
Proceedings - 6th International Advanced Computing Conference, IACC 2016 | Year: 2016

Carry Value Transformation (CVT) is one of the modified structures of Integral Value Transformations (IVTs) and coming under the category of discrete dynamical system. Earlier in [5] it has been proved that the addition of two non-negative integers is equal to the addition of their CVT values and XOR values and is true in any base of the number system. In the present study, this phenomenon is extended to perform CVT and XOR operations for many non-negative integers in any base system. To achieve this both the definition of CVT and XOR are modified over the set of multiple integers instead of two. Also some important properties of these operations have been studied. With the help of cellular automata the adder circuit designed in [14] on using CVT-XOR recurrence formula is used to design a parallel adder circuit for multiple numbers in binary number system. © 2016 IEEE.


Rout R.K.,Indian Statistical Institute | Choudhury P.P.,Indian Statistical Institute | Sahoo S.,Institute of Mathematics and Applications | Ray C.,Indian Statistical Institute
International Journal of Computer Mathematics | Year: 2015

This paper addresses all possible equivalence classes of 1-variable Boolean functions and from these classes using recursion and Cartesian product of sets, 15 different ways of classifications of n-variable Boolean functions are obtained. The properties with regard to the size and the number of classes for these 15 different ways are also elaborated. © 2014 Taylor & Francis.

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