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A simple proof of Ramanujan's reciprocity theorem
P. S. Guruprasad,N. Pradeep 장전수학회 2006 Proceedings of the Jangjeon mathematical society Vol.9 No.2
In this note, we give a simple proof of Ramanujan's reciprocity theorem using q-binomial theorem.
New Modular Relations for the Ratio’s of Ramanujan Function χ(−q) of degree 9
B. N. DHARMENDRA,P. S. Guruprasad 장전수학회 2020 Proceedings of the Jangjeon mathematical society Vol.23 No.3
In this paper, we establish some new modular equations of Ramanujan’s function χ(−q) of degree 9. Further, we obtain some explicit evaluations of class invariant gn from them.
Shankar Bhaumik,A. Kumaraswamy,S. Guruprasad,P. Bhandari 대한기계학회 2015 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.29 No.11
Contact based FE simulations have been carried out to estimate the contact pressure distribution at seal/rod interface at sealed oil pressuresof 10, 20 and 30 MPa and constant rod velocity of 0.12 m/s. Oil film thickness at the interface was then computed analytically atvarious combinations of oil pressures and rod velocities. Seal contact pressure and oil film thickness data along with surface roughness,intermolecular interaction between seal/rod interfaces has been perused to estimate the friction in Nitrile-Butadiene Rubber (NBR) rectangularhydraulic rod seals using theoretical models such as Inverse hydrodynamic lubrication (IHL), Greenwood-Williamson (GW)and Wassink’s models. The friction at seal/rod interface was also measured experimentally using a specially designed test rig. The comparisonof theoretical and experimental data revealed that, friction computed from GW and Wassink’s models had good agreement withthe experimental results.
Model-based, Distributed, and Cooperative Control of Planar Serial-link Manipulators
S. Soumya,K. R. Guruprasad 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.2
In this paper, we propose a novel distributed control scheme for a planar serial-link manipulator with revolute joints. The control scheme is based on the conventional model-based nonlinear control scheme that achieves linearization by feedback. A dedicated controller controls each joint of the manipulator, as in the case of the decentralized manipulator control scheme. However, in the proposed control scheme, the joint-level controllers communicate and cooperate to account for the nonlinear dynamic coupling between the links. The proposed control scheme can achieve the performance level of that of the model-based nonlinear control scheme, and at the same time, reduce the computational lead-time by distributing the computational load associated with the control law among the joint-level controllers. We design a distributed cooperative control law for a three-link planar manipulator and demonstrate its trajectory tracking performance using simulation experiments.
Properties and Functions of Melanin Pigment from Klebsiella sp. GSK
( Sajjan ),( Shrishailnath S ),( Anjaneya O ),( Guruprasad B Kulkarni ),( Anand S Nayak ),( Suresh B Mashetty ),( T B Karegoudar ) 한국미생물생명공학회(구 한국산업미생물학회) 2013 한국미생물·생명공학회지 Vol.41 No.1
Purified melanin pigment from Klebsiella sp. GSK was characterized by thermogravimetric, differential thermal, X ray diffraction and elemental analysis. This melanin pigment is structurally amorphous in nature. It is thermally stable up to 300oC and emits a strong exothermic peak at 700oC. Its carbon, hydrogen and nitrogen composition is 47.9%, 6.9% and 12.0%, respectively. It was used to scavenge metal ions and free radicals. After immobilizing the pigment and using it to adsorb copper and lead ions, the metal ion adsorption capacity was evaluated by atomic absorption spectroscopy (AAS) and the identity of melanin functional groups involved in the binding of metal ions was determined by Fourier transform infrared (FT-IR) spectroscopy. Batch adsorption studies showed that 169 mg/g of copper and 280 mg/g of lead were adsorbed onto melanin-alginate beads. The metal ion adsorption capacity of the melanin-alginate beads was relatively significant compared to alginate beads. The metal ion desorption capacity of HCl was greater (81.5% and 99% for copper and lead, respectively) than that of EDTA (80% and 71% for copper and lead, respectively). The ability of the melanin pigment to scavenge free radicals was evaluated by inhibition of the oxidation of 2,2-diphenyl-1-picrylhydrazyl (DPPH) and 2,2`-azino-bis(3-ethylbenzothiazoline-6-sulfonic acid) (ABTS) and was shown to be about 74% and 98%, respectively, compared with standard antioxidants.
On Certain New Modular Relations for the Rogers-Ramanujan type functions of order Twelve
K. R. Vasuki,P. S. Guruprasad 장전수학회 2010 Advanced Studies in Contemporary Mathematics Vol.20 No.3
In this paper, we define the Rogers-Ramanujan type functions M(q) and N(q) of order twelve and obtain some modular relations involving these identities, which are analogues to Ramanujan’s well known forty identities for Rogers-Ramanujan functions. Further, we establish certain color partition identities from them.
Some edge degree based topological indices of graphene
K. B. Sudhakara,P. S. Guruprasad,M. A. Sriraj 장전수학회 2020 Proceedings of the Jangjeon mathematical society Vol.23 No.2
Graphene is a two dimensional material consisting of a single layer of carbon atom arranged in a honeycomb structure. Its properties include high strength and good conductivity of heat and electricity. In this paper, we compute some edge degree based topological indices namely, Generalized Zagreb index, Atom Bond Connectivity index, Augmented Zagreb Index, Geometric Arithmetic index, Harmonic index, ,Symmetric division degree index, Modified first multiple Zagreb index, second multiple Zagreb index, first, second and third Zagreb polynomial of Graphene.
R. RAJENDRA,P. S. Guruprasad,K. BHARGAVA,P. SIVA KOTA REDDY 장전수학회 2021 Proceedings of the Jangjeon mathematical society Vol.24 No.2
In this paper, we present a new representation of partitions of positive integers using labeled trees. Labeled trees representing a partition of an integer n is called a partition-tree of n. We discuss some results involving partition-trees, energy of an integer with respect to partition-trees, and gracefulness of the default labeling of partition trees.
Vishnu G. Nair,Adarsh Rag S.,Jayalakshmi K. P.,Dileep M. V.,K. R. Guruprasad 제어·로봇·시스템학회 2023 International Journal of Control, Automation, and Vol.21 No.7
In this paper, a dynamic workspace allocation methodology for coverage path planning using multiple robots in the presence of obstacles is presented. The entire workspace is initially partitioned using the Manhattan Voronoi partitioning method, without considering the obstacles present, and the robots execute Multi-Robot Simultaneous Exploration and Coverage (MRSimExCoverage) using the Spanning Tree Coverage (STC) algorithm and cover the workspace. A dynamic workspace re-allocation strategy to optimize the area covered by each robot, whenever obstacles are detected, so as to avoid certain obstacle-induced coverage issues is studied. Simulation experiments within the Matlab/V-rep environment are used to demonstrate and validate the performance of the proposed algorithm. Though the authors used the STC algorithm for path planning for demonstration, any suitable coverage algorithm may be used.