• 제목/요약/키워드: Calcutta

검색결과 103건 처리시간 0.021초

Effect of the laser pulse on transient waves in a non-local thermoelastic medium under Green-Naghdi theory

  • Sarkar, Nantu;Mondal, Sudip;Othman, Mohamed I.A.
    • Structural Engineering and Mechanics
    • /
    • 제74권4호
    • /
    • pp.471-479
    • /
    • 2020
  • This paper aims to study the effect of the elastic nonlocality on the transient waves in a two-dimensional thermoelastic medium influenced by thermal loading due to the laser pulse. The bounding plane surface is heated by a non-Gaussian laser beam. The problem is discussed under the Eringen's nonlocal elasticity model and the Green-Naghdi (G-N) theory with and without energy dissipation. The normal mode analysis method is used to get the exact expressions for the physical quantities which illustrated graphically by comparison and discussion. The effects of nonlocality and different values of time on the displacement, the stresses, and the temperature were made numerically. All the computed results obtained have been depicted graphically and explained.

PSEUDO SYMMETRIC AND PSEUDO RICCI SYMMETRIC WARPED PRODUCT MANIFOLDS

  • De, Uday Chand;Murathan, Cengizhan;Ozgur, Cihan
    • 대한수학회논문집
    • /
    • 제25권4호
    • /
    • pp.615-621
    • /
    • 2010
  • We study pseudo symmetric (briefly $(PS)_n$) and pseudo Ricci symmetric (briefly $(PRS)_n$) warped product manifolds $M{\times}_FN$. If M is $(PS)_n$, then we give a condition on the warping function that M is a pseudosymmetric space and N is a space of constant curvature. If M is $(PRS)_n$, then we show that (i) N is Ricci symmetric and (ii) M is $(PRS)_n$ if and only if the tensor T defined by (2.6) satisfies a certain condition.

SOME SPECIAL CURVES IN THREE DIMENSIONAL f-KENMOTSU MANIFOLDS

  • Majhi, Pradip;Biswas, Abhijit
    • 한국수학교육학회지시리즈B:순수및응용수학
    • /
    • 제27권2호
    • /
    • pp.83-96
    • /
    • 2020
  • In this paper we study Biharmonic curves, Legendre curves and Magnetic curves in three dimensional f-Kenmotsu manifolds. We also study 1-type curves in a three dimensional f-Kenmotsu manifold by using the mean curvature vector field of the curve. As a consequence we obtain for a biharmonic helix in a three dimensional f-Kenmotsu manifold with the curvature κ and the torsion τ, κ2 + τ2 = -(f2 + f'). Also we prove that if a 1-type non-geodesic biharmonic curve γ is helix, then λ = -(f2 + f').

𝒵 Tensor on N(k)-Quasi-Einstein Manifolds

  • Mallick, Sahanous;De, Uday Chand
    • Kyungpook Mathematical Journal
    • /
    • 제56권3호
    • /
    • pp.979-991
    • /
    • 2016
  • The object of the present paper is to study N(k)-quasi-Einstein manifolds. We study an N(k)-quasi-Einstein manifold satisfying the curvature conditions $R({\xi},X){\cdot}Z=0$, $Z(X,{\xi}){\cdot}R=0$, and $P({\xi},X){\cdot}Z=0$, where R, P and Z denote the Riemannian curvature tensor, the projective curvature tensor and Z tensor respectively. Next we prove that the curvature condition $C{\cdot}Z=0$ holds in an N(k)-quasi-Einstein manifold, where C is the conformal curvature tensor. We also study Z-recurrent N(k)-quasi-Einstein manifolds. Finally, we construct an example of an N(k)-quasi-Einstein manifold and mention some physical examples.

Testing for a unit root in an AR(p) signal observed with MA(q) noise when the MA parameters are unknown

  • Jeong, Dong-bin;Sahadeb Sarkar
    • Journal of the Korean Statistical Society
    • /
    • 제27권2호
    • /
    • pp.165-187
    • /
    • 1998
  • Shin and Sarkar (1993, 1994) studied the problem of testing for a unit root in an AR(p) signal observed with MA(q) noise when the MA parameters are known. In this paper we consider the case when the MA parameters are unknown and to be estimated. Test statistics are defined using unit root parameter estimates based on three different estimation methods of Hannan and Rissanen (1982), Kohn (1979) and Shin and Sarkar (1995). An AR(p) process contaminated by MA(q) noise is a .estricted ARMA model, for which Shin and Sarkar (1995) derived an easy-to-compute Newton- Raphson estimator The two-stage estimation p.ocedu.e of Hannan and Rissanen (1982) is used to compute initial parameter estimates in implementing the iterative estimation methods of both Shin and Sarkar (1995) and Kohn (1979). In a simulation study we compare the relative performance of these unit root tests with respect to both size and power for p=q=1.

  • PDF

Ficus racemosa Affords Antihepatotoxic Activity Against Paracetamol-Induced Acute Liver Damage in Rats

  • Mandal, Subhash C.;Maity, Tapan K.;Das, J.;Saha, B.P.;Pal, M.
    • Natural Product Sciences
    • /
    • 제4권3호
    • /
    • pp.174-179
    • /
    • 1998
  • The effect of oral treatment with Ficus racemosa leaf extract (400 mg/kg for seven days) were studied on hepatic damage induced by paracetamol (750 mg/kg, i.p.) in rats. Biochemical parameter like SGOT, SGPT, serum bilirubin and alkaline phosphatase were estimated to assess liver function. These biochemical observations were supplemented by histopathological examination of liver sections. The activity of extract was also comparable to Neutrosec a known hepatoprotective formulation.

  • PDF

ON THE LEET INVERSIVE SEMIRING CONGRUENCES ON ADDITIVB REGULAR SEMIRINGS

  • SEN M. K.;BHUNIYA A. K.
    • 한국수학교육학회지시리즈B:순수및응용수학
    • /
    • 제12권4호
    • /
    • pp.253-274
    • /
    • 2005
  • An additive regular Semiring S is left inversive if the Set E+ (S) of all additive idempotents is left regular. The set LC(S) of all left inversive semiring congruences on an additive regular semiring S is a lattice. The relations $\theta$ and k (resp.), induced by tr. and ker (resp.), are congruences on LC(S) and each $\theta$-class p$\theta$ (resp. each k-class pk) is a complete modular sublattice with $p_{min}$ and $p_{max}$ (resp. With $p^{min}$ and $p^{max}$), as the least and greatest elements. $p_{min},\;p_{max},\;p^{min}$ and $p^{max}$, in particular ${\epsilon}_{max}$, the maximum additive idempotent separating congruence has been characterized explicitly. A semiring is quasi-inversive if and only if it is a subdirect product of a left inversive and a right inversive semiring.

  • PDF

A CLASSIFICATION OF (κ, μ)-CONTACT METRIC MANIFOLDS

  • Yildiz, Ahmet;De, Uday Chand
    • 대한수학회논문집
    • /
    • 제27권2호
    • /
    • pp.327-339
    • /
    • 2012
  • In this paper we study $h$-projectively semisymmetric, ${\phi}$-pro-jectively semisymmetric, $h$-Weyl semisymmetric and ${\phi}$-Weyl semisym- metric non-Sasakian ($k$, ${\mu}$)-contact metric manifolds. In all the cases the manifold becomes an ${\eta}$-Einstein manifold. As a consequence of these results we obtain that if a 3-dimensional non-Sasakian ($k$, ${\mu}$)-contact metric manifold satisfies such curvature conditions, then the manifold reduces to an N($k$)-contact metric manifold.

Complexes of Polyvalent Metal Ions (Ⅶ). Complexes of Cadmium, Cobalt and Nickel with Hydroxycarboxylic Acids in Aqueous, Ethanol-Water and Acetone-Water Solutions$^*$

  • Park, Joon-W.;Mukherjee, C.
    • Bulletin of the Korean Chemical Society
    • /
    • 제1권3호
    • /
    • pp.105-109
    • /
    • 1980
  • A general spectroscopic method is described for studies on the complex formation between metal ions and ligands, and is applied to $Cu^{2+}$ and $Ca^{2+}$binding to glycosaminoglycans. The order of binding constants for both ions is heparin >dermatan sulfate >chondroitin sulfate. The electrostatic forces are shown to be the predominant factor in the interaction. The 2- to 3-fold higher affinity for $Cu^{2+}$ than for $Ca^{2+}$ is obtained for heparin and dermatan sulfate, but little difference for chondroitin sulfate. These results are explained as chelation of both carboxyl and sulfate groups to $Cu^{2+}$ in former cases. The difference of binding constants among glycosaminoglycans is related to proposed various biological functions of the biopolymers.

Absorptive Capacity Effects of Foreign Direct Investment in Selected Asian Economies

  • ROY, Samrat
    • The Journal of Asian Finance, Economics and Business
    • /
    • 제8권11호
    • /
    • pp.31-39
    • /
    • 2021
  • This study empirically examines the proposition that the domestic fundamentals of a nation can emerge as absorptive capacity factors to reap the benefits of inward FDI. The study is contextualized in Asia, set from1982 to 2017, and data is grouped into low-income and lower-middle-income economies, in comparison to high-income and upper-middle-income economies, catering to different geographical regions within Asia. The investigation is based on a series of absorptive capacity factors such as infrastructure, human capital, domestic credit, and health indicator. The methodological analysis is premised on dynamic panel structure and employs the Generalized Method of Moments (GMM) estimation technique. The empirical findings suggest that that the infrastructure variable appears to be the major absorptive capacity factor for both groups of countries. The health indicator, on the other hand, can help reap the benefits of inward FDI, but only if the threshold level is met. The selected economies must achieve this threshold level to reap the benefits of FDI. To absorb the benefits of inward FDI, countries must be proactive in providing sound infrastructure and implementing proper healthcare measures.