Solution of different multi-criteria decision making engineering problems by PROMETHEE II and VIKOR

In our day to day life we come across situations in which we have a number of choices available in front of us and it is difficult to choose among them on the basis of a single criterion. Different alternatives have different attributes related to them so it is important for the decision maker to weigh all the alternatives and come up with a common index on the basis of which he can compare his alternatives. Here in this thesis, to encounter with such problems, multi criteria decision making methods have been used to come up with the best alternative. Two methods namely PROMETHEE II (preference ranking organization method for enrichment evaluation) and VIKOR (višekriterijumsko kompromisno rangiranje) have been used to solve different engineering problems ranging from selection of machining parameters to choosing a supplier for an industry. PROMETHEE II uses the outranking method for the ranking of alternatives and VIKOR is a compromise solution method. Problems have been solved by both the methods and the results have been compared with each other

Universality Class of the Reversible-Irreversible Transition in Sheared Suspensions

Collections of non-Brownian particles suspended in a viscous fluid and subjected to oscillatory shear at very low Reynolds number have recently been shown to exhibit a remarkable dynamical phase transition separating reversible from irreversible behaviour as the strain amplitude or volume fraction are increased. We present a simple model for this phenomenon, based on which we argue that this transition lies in the universality class of the conserved DP models or, equivalently, the Manna model. This leads to predictions for the scaling behaviour of a large number of experimental observables. Non-Brownian suspensions under oscillatory shear may thus constitute the first experimental realization of an inactive-active phase transition which is not in the universality class of conventional directed percolation.Comment: 4 pages, 2 figures, final versio

Fictitious Photon Mass in Radiative Bhabha Scattering

This thesis consists of four chapters. The first chapter is devoted to introduction. In the second chapter fundamental definitions and results required in the sequal are given. In the third chapter an Opial type inequalities involving fractional derivatives. The later chapter includes Opial type inequalities involving Riemann-Liouville fractional derivatives of two functions.Bu tez, dört bölümden oluşmaktadır. İlk bölüm giriş kısmına ayrılmıştır. İkinci bölümde çalışmamız için gerekli olan temel kavramlar verilmiştir. Üçüncü bölümde, kesirli türevler içeren Opial tipli eşitsizlikler için bazı sonuçlar verildi. Son bölümde iki değişkenli fonksiyonlar için Riemann-Liouville kesirli türevlerini içeren Opial tipli eşitsizliklerin bazı sonuçları verildi

Bioaccumulation of heavy metals in Spinacea oleracea grown in distillery effluent irrigated soil

The aim of the present study was to estimate the accumulation of heavy metals in Spinacea oleracea plant grown in Distillery Effluent (DE) irrigated soil. The results revealed that there was an increase in the metal contents Fe (+2.39%), Zn (+14.27%), Ni (+70.45%), Cd (+34.15%)and Cr (+20.46%) of soil irrigated with DE. In case of S. oleracea grown in the DE irrigated soil, it was observed that there was maximum concentration of Fe (353.24±7.94 mg/kg) and Zn (78.95±7.59 mg/kg) in leaves and that of Cr (54.19±8.39 mg/kg), Cd (7.73±1.41 mg/kg) and Ni (66.47±3.65 mg/kg) in root. The value of Bio-concentration factor (BCF) was found maximum for Cr (2.00) in comparison to other metals in the S. oleracea irrigated with DE. The value of Transfer factor (TF) was found maximum for Zn (TF- 1.51) for the soil irrigated with DE in comparison to soil irrigated with Bore well water (BWW). The DE can be a source of contamination to the soil as some toxic metals may also be transferred to roots and then to leaves in S. oleracea. The practice of continuous irrigation of agricultural land by DE may increase the risk of metal contamination in growing food crops to cause human health risks

On the growth of the Bergman kernel near an infinite-type point

We study diagonal estimates for the Bergman kernels of certain model domains in $\mathbb{C}^2$ near boundary points that are of infinite type. To do so, we need a mild structural condition on the defining functions of interest that facilitates optimal upper and lower bounds. This is a mild condition; unlike earlier studies of this sort, we are able to make estimates for non-convex pseudoconvex domains as well. This condition quantifies, in some sense, how flat a domain is at an infinite-type boundary point. In this scheme of quantification, the model domains considered below range -- roughly speaking -- from being ``mildly infinite-type'' to very flat at the infinite-type points.Comment: Significant revisions made; simpler estimates; very mild strengthening of the hypotheses on Theorem 1.2 to get much stronger conclusions than in ver.1. To appear in Math. An