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Search Results: 1 - 10 of 1259 matches for " Shanaz Ansari Wahid "
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An Efficient Combinatorial-Probabilistic Dual-Fusion Modification of Bernstein’s Polynomial Approximation Operator  [PDF]
Shanaz Ansari Wahid
Applied Mathematics (AM) , 2011, DOI: 10.4236/am.2011.212218
Abstract: The celebrated Weierstrass Approximation Theorem (1885) heralded intermittent interest in polynomial approximation, which continues unabated even as of today. The great Russian mathematician Bernstein, in 1912, not only provided an interesting proof of the Weierstrass’ theorem, but also displayed a sequence of the polynomials which approximate the given function . An efficient ‘Combinatorial-Probabilistic Dual-Fusion’ version of the modification of Bernstein’s Polynomial Operator is proposed. The potential of the aforesaid improvement is tried to be brought forth and illustrated through an empirical study, for which the function is assumed to be known in the sense of simulation.
Efficient Approximation Using Probabilistically Improved Combinatorial Structure of Bernstein's Polynomial Operator's Weights through the Fusion of Dual-Perspectives
Shanaz Ansari Wahid
Journal of Mathematics Research , 2011, DOI: 10.5539/jmr.v3n3p59
Abstract: A new polynomial approximation operator has been proposed which uses weight-functions of the well-known Bernstein’s Polynomial operator in its probabilistically improved combinatorial structure, achieved through a rather-ingenious ‘Fusion’ of two dual perspectives. These weights are functions of the impugned variable of the unknown function being approximated, and are not mere constants. The new approximation formula has been compared empirically with the simple classical method of polynomial approximation using the well-known “Bernstein Operator”. The percentage absolute relative errors for the proposed approximation formula and that with the “Bernstein Operator” have been computed for certain selected functions and with different number of node points in the interval of approximation. It has been observed that the proposed approximation formula produces exceedingly-significantly better results.
Lattices of SK-Partitions
Shanaz Ansari Wahid,Norris Sookoo,Ashok Sahai
Journal of Applied Sciences , 2007,
Abstract: Lattice theory and combinatorial set theory are applied in the study of SK-partitions. The rank function of a lattice SK-partitions is investigated and bounds are obtained for the sizes of chains, antichains and other subsets. Regular, geometric lattices of SK-partitions are also considered. Lattice theory has now many upcoming modern applications.
Probability Distribution of m Binary n-tuples
Norris Sookoo,Shanaz Ansari Wahid,Ashok Sahai
Journal of Applied Sciences , 2007,
Abstract: In coding theory, a string of ones and zeros is called a word. When these digits are transmitted and received electronically, errors may occur and any digit may be misidentified, thus giving rise to a string of errors, one for each digit. For the case where m binary words of length n are transmitted and received, we obtain the probability distribution of the error tuple, which shows the number of words having i errors, as i varies from 1 to n. Related probabilities are obtained and also the probability and moment generating functions are derived.
Algebraic Structure of Lattices of SK Partitions
Shanaz Ansari Wahid,Norris Sookoo,Ashok Sahai
Journal of Applied Sciences , 2007,
Abstract: In the context of Complexity Reduction in Lattice-Based Information Retrieval, the reduction process must preserve the algebraic structure of a lattice. The SK (Sharma-Kaushik)-Lattices are known to be of high applicational value. Hence the present study is aimed at detailing the `Algebraic Structure of SK-Lattice. In the context of Information-Theoretic approach to coding, the n-tuples of integers are relevant. Therefore, the Algebraic properties are obtained for lattices of SK-partitions, which are characterized as n-tuples of integers. Such lattices are shown to satisfy the Jordan-Dedekind chain condition and the modular-identity. Right residuals and deficits are also considered.
A Computerizable Iterative-Algorithmic Quadrature Operator Using an Efficient Two-Phase Modification of Bernstein Polynomial
Shanaz Ansari Wahid,Ashok Sahai,M. Raghunadh Acharya
International Journal of Engineering and Technology , 2009,
Abstract: A new quadrature formula has been proposed which uses modified weight functions derived from those of ‘Bernstein Polynomial’ using a ‘Two-Phase Modification’ therein. The quadrature formula has been compared empirically with the simple method of numerical integration using the well-known “Bernstein Operator”. The percentage absolute relative errors for the proposed quadrature formula and that with the “Bernstein Operator” have been computed for certain selected functions, with different number of usual equidistant node-points in the interval of integration~ [0, 1]. It has been observed that both of the proposed modified quadrature formulae, respectively after the ‘Phase-I’ and after the ‘Phases-I & II’ of these modifications, produce significantly better results than that using, simply, the “Bernstein Operator”. Inasmuch as the proposed “Two-Phase Improvement” is available iteratively again-and-again at the end of the current iteration, the proposed improvement algorithm, which is ‘Computerizable’, is an “Iterative-Algorithm”, leading to more-and-more efficient “Quadrature-Operator”, till we are pleased!
A Positive Linear Operator Using Probabilistic Approach
Ashok Sahai,Shanaz Wahid,Arvind Sinha
Journal of Applied Sciences , 2006,
Abstract: A positive linear operator, modifying the well-known Bernstein Polynomial (Positive Linear Operator)`s weight function has been proposed. It uses a new weight functions derived using a probabilistic approach. The resultant polynomial approximation operator has been studied analytically for its convergence rate, as also empirically using a simulation study to compare it with the Bernstein`s polynomial approximation operator. The approximating polynomials have been computed for certain selected functions and with different number of node points in the interval of approximation C [0, 1], without any loss of generality. It has been observed that the proposed polynomial approximation formula produces significantly better approximating polynomials.
Design and Development of Vehicle anti-collision System using Electromagnet and Ultrasonic Sensors
Shival Dubey,Abdul Wahid Ansari
International Journal on Theoretical and Applied Research in Mechanical Engineering , 2013,
Abstract: Electromagnetic anti-collision device is proposed here in order to avoid Vehicular Head to Head/Back collision that estimates the distance between the two vehicles running extreme traffic condition. It incorporates distance finding between two vehicles using ultrasonic range finder. The vehicle collision and its impact emerged as the major problem in the last two decades when the use of the automobile increased to a subsequent number. In order to avoid vehicle collision/ road accidents this system will work in two stages: - A Range finder will continuously track the distance between two vehicles moving and sends it to the ECM using these inputs if it finds the vehicle in the vicinity of the other it will automatically actuate the sensor strip for Electromagnetic Induction. This system is reliable, cost-efficient and fault tolerable. These characteristics enable the vehicle anti-collision in adaptive control environment.
Dealing with Young Offenders  [PDF]
Sofia Shanaz Shah, Semi Leweniqila
Beijing Law Review (BLR) , 2016, DOI: 10.4236/blr.2016.72011
Abstract: Dealing with young offenders is one of the many concerns of the criminal justice system in any country. Young offenders are those who are over the age of 10 years and under the age of 17 years in Fiji. Due to their age, they are different from adult offenders, and thus the criminal justice system should also deal with them differently. This paper will consider the criminal justice system of Fiji and how it has tried to address the issue of young offenders under the criminal justice system. It will consider who is a young offender, what laws govern young offenders in Fiji and how they are dealt with once they come into contact with the criminal justice system. It will also consider the special protection that has to be provided for young offenders from arrest, investigation, bail stages till prosecution and sentencing stages.
Analysis Neotectonic Activities in Khafr Basin  [PDF]
Ahmad Ansari Lari, Maryam Ansari, Soraya Ansari
Open Journal of Geology (OJG) , 2016, DOI: 10.4236/ojg.2016.66040
Abstract: As Iran is located on one of the two earthquake-prone belts in the world, and existence of faults and earthquakes is normal in Iran tableland. The main reason of earthquake is Neotectonic movements which can be effective in other natural disasters such as range movements. Due to the severe shortage of historical and seismic data and device in different parts of the world, particularly Iran, need for introducing more researchers and planners of Iran to tectonics and active tectonic areas is more visible. This study is an investigation of Neotectonic activities in Khafr basin area, Fars province. To achieve the aims of this study morphometric parameters were used. Investigations showed that severity and role of tectonic activities in different parts of the basin isdifferent, results of geomorphic and tectonic assessments indicate these differences.Stream length-gradient index (SL)on the main stream is inactive and sub streams are semi active, the ratio of the basin (BS)is 2.27, drainage basin asymmetry index (AF)is in semi active class, the ratio of width to depth of Valley (VF
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