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1
Content available remote On Finding the Maximum and Minimum Density Axes-parallel Regions in Rd
Basu N. G., Majumder S., Hon W. K.
Fundamenta Informaticae
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2017
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Vol. 152, nr 1
1--12
EN
Finding the density of a set of n points, especially where points are in R2 or R3, has direct applications in thermal analysis of VLSI chips. In this paper, we consider identifying the maximum-density axes-parallel region for a set of weighted points in IRd for d ≥ 2, and show that it can be done in O(dn2) time. We also consider finding the minimum-density axes-parallel region, and show that for R2 the problem can be solved in O(n2) time.
2
Content available remote On an open problem of Xiao-Bin Zhang and Jun-Feng Xu
Majumder S.
Demonstratio Mathematica
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2016
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Vol. 49, nr 2
161--182
EN
The purpose of the paper is to study the uniqueness of meromorphic functions sharing a nonzero polynomial. The results of the paper improve and generalize the recent results due to X. B. Zhang and J. F. Xu [19]. We also solve an open problem as posed in the last section of [19].
3
Content available remote A uniqueness result on meromorphic functions sharing two sets II
Banerjee A., Majumder S., Mukherjee S.
Fasciculi Mathematici
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2014
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Nr 53
17--30
EN
We employ the notion of weighted sharing of sets to deal with the well known question of Gross and obtain a unique-ness result on meromorphic functions sharing two sets which will improve an earlier result of Lahiri [15] and a recent one of Banerjee [2].
4
Content available remote Separating Multi-Color Points on a Plane with Fewest Axis-Parallel Lines
Majumder S., Nandy S.C., Bhattacharya Bhargab.B.
Fundamenta Informaticae
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2010
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Vol. 99, nr 3
315-324
EN
In this paper, we deal with the problem of partitioning a set of coplanar points of more than one colors into monochromatic cells using minimum number of axis-parallel straight lines. It is first shown that the problem is NP-hard. A fast heuristic is then presented to solve this problem. Experimental results on randomly generated instances indicate that the proposed method is much faster than the existing techniques, with minor degradation in the cost of the partition.
5
Content available remote Synthesis and characterisation of SnO2 films obtained by a wet chemical process
Majumder S.
Materials Science Poland
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2009
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Vol. 27, No. 1
123--129
EN
SnO2 thin films, being n-type semiconductors, have wide application in the field of sensor technology. They are obtained by a wet chemical process, using SnCl2o2H2O as a tin containing precursor. The films thus obtained were subjected to optical, X-ray diffraction (XRD), microstructural, FTIR and Raman studies.
6
Content available remote Biomechanical analysis of human pelvis under muscolo-skeletal load using 3D finite element method
Majumder S., Roychowdhury A., Pal S.
International Journal of Applied Mechanics and Engineering
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2005
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Vol. 10, no 4
647-665
EN
During walking, the human pelvis is Ioaded by hip contact force and 22 muscle forces. Due to its complex geometry and structure, biomechanics of the human pelvis is complicated. A three-dimensionaI finite element model of the fulI pelvis was developed and the stress and deformation pattern was mapped, considering musculoskeletal loading, during 8 phases of a normal walking cycIe. The cortical and trabecular bones were modeled with shell-solid elements. The full model consisted of 71 674 tetrahedral and 17 264 shell elements (four-noded), through 16429 nodes. An algorithm was aIso developed to calculate the components and direction of 22 muscle forces, considering the origin, insertion points and change of femur position, relative to the pelvis during walking. Stress contour maps revealed that the zones and magnitudes of maximum von-Mises stresses (28 to 38 MPa for the cortical bone and 1.3 to 1.7 MPa for the trabecular bone) varied from phase to phase during walking. AIso the average phase wise variations for the resultant displacement were 0.1 to 0.5 mm. These results may be used approximately for a cIinical comparison between the normal pelvis and the effectiveness of different pelvic fracture fixation modalities.
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