We study the problem of intergenerational equity for utility streams and a countable set of agents. A numerical social welfare function is invariant to ordinal transformation, satis…es a weak monotonicity condition, and an invariance with respect to concatenation of utility streams if and only if it is either the sup, inf, lim sup, or lim inf.

where u can be interpreted as the velocity field of an incompressible fluid motion, and p is then the associated pressure, the constant μ is the viscosity coefficient of the fluid. For simplicity, we consider homogenous Dirichlet boundary condition for the velocity, i.e. u|∂Ω = 0 and μ = 1. The conditions for the well posedness is known as inf-sup condition or Ladyzhenskaya-Babuška-Breezi (LBB)...

inf-sup unstable and inf-sup stable finite element spaces. Lecture 1

Heart imaging radiopharmaceuticals could improve the diagnostic value of routine heart scanning for detecting cardiac disorders. The aim of the study was to prepare high radiochemical purity 99mTc-Digoxin in a yield of about 98%. The optimal conditions for labelling were as follows: 100μg of Digoxin, 2μg of SnCl2•2H2O, room temperature (25±1°C), reaction retention time of ...

In this paper we present the N-norms/N-conorms in neutrosophic logic and set as extensions of T-norms/T-conorms in fuzzy logic and set. Also, as an extension of the Intuitionistic Fuzzy Topology we present the Neutrosophic Topologies. 1. Definition of the Neutrosophic Logic/Set: Let T, I, F be real standard or non-standard subsets of ]0, 1[, with sup T = t_sup, inf T = t_inf, sup I = i_sup, inf...

In this paper I investigate the System of fuzzy relation equations with inf → composition. I compare this system with the system of fuzzy relation equations with sup − ∗-composition. The purpose of this contribution is to show that there are many things which are common for both systems with sup−∗ and inf →-composition operations. K e y w o r d s: System of fuzzy relation equations; sup − ∗-com...

In this paper we show that the Lorentz space Lw,1(0,∞) has the weak-star uniform Kadec-Klee property if and only if inf t>0 w(αt) w(t) > 1 and sup t>0 φ(αt) φ(t) < 1 for all α ∈ (0, 1),

We prove some inf–sup and sup–inf formulae for the so–called effective multiplication factor arising in the study of reactor analysis. We treat in a same formalism the transport equation and the energy–dependent diffusion equation.

We prove some inequalities related to the concepts of C1(st) -conservative matrices, C1(st) lim sup and C1(st) lim inf which are natural analogues of (c, st ∩ l∞) -matrices, st lim sup and st lim inf respectively.

In this paper we derive quantitative uniqueness estimates at infinity for solutions to an elliptic equation with unbounded drift in the plane. More precisely, let u be a real solution to ∆u + W · ∇u = 0 in R2, where W is real vector and ‖W‖Lp(R2) ≤ K for 2 ≤ p <∞. Assume that ‖u‖L∞(R2) ≤ C0 and satisfies certain a priori assumption at 0. Then u satisfies the following asymptotic estimates at R ...