For mutually exclusive investments or portfolio choices with normally distributed returns, we show that all elements of the second-order stochastic dominance admissible choice set are elements of the optimal or minimally efficient set. (That is, these elements will be chosen by some investor manifesting non-satiation and risk aversion.) This result helps clarify the relation between mean-varian...

Considering a kinematical velocity admissible field, the upper bound method has beenused for predicting the amount of pressure in hydroforming of sheet metals. The effects of workhardening, friction and blank size have been considered in pressure prediction. Also the effect ofsheet thickness variation has been considered in the present work formulations. The relation betweenpressure and punch s...

Let T be a counterexample to Vaught’s conjecture. Let ET denote the isomorphism equivalence relation of T . Let Fω1 be the countable admissible ordinal equivalence relation defined on ω2 by x Fω1 y if and only if ωx 1 = ω y 1 . This note will show that in L and set-generic extensions of L, ¬(ET ≤∆11 Fω1 ). Using ZFC, if T is a non-minimal counterexample to Vaught’s conjecture, then ¬(ET ≤∆11 Fω...

in this paper, we consider admissible estimation of the parameter ?r in the gamma distribution with truncated parameter space under entropy loss function. we obtain the classes of admissible estimators. the result can be applied to estimation of parameters in the normal, lognormal, pareto, generalized gamma, generalized laplace and other distributions.

We investigate the rewrite relation over graphs induced by constructor-based weakly orthogonal graph rewriting systems. It is well known that this relation is not connuent in general whereas it is connuent in the case of weakly orthogonal term rewriting systems. We show, however , that the considered relation is always connuent, as well as connuent modulo bisimilarity, for a large class of grap...

6 Exactness in the middle term 35 6.1 The moduli space on V × R . . . . . . . . . . . . . . . . . . . 36 6.2 Admissible elements in M̂V×R(a∞) . . . . . . . . . . . . . . . 41 6.3 Assembling the geometric limits . . . . . . . . . . . . . . . . . 43 6.4 The relation w0 ∗ ◦ w 1 ∗ = 0 . . . . . . . . . . . . . . . . . . . . . 51 6.5 The inclusion Ker(w0 ∗) ⊂ Im(w 1 ∗) . . . . . . . . . . . . . . . . 56

In the setting of antiplane linearized elasticity, we show the existence of the stress intensity factor and its relation with the energy release rate when the crack path is a C curve. Finally, we show that the energy release rate is continuous with respect to the Hausdorff convergence in a class of admissible cracks.

Abstract: We study densely defined unbounded operators acting between different Hilbert spaces. For these, we introduce a notion of symmetric (closable) pairs of operators. The purpose of our paper is to give applications to selected themes at the cross road of operator commutation relations and stochastic calculus. We study a family of representations of the canonical commutation relations (CC...

In this article we present new results for families of orthogonal polynomials and special functions, that are determined by algorithmical approaches. In the first section, we present new results, especially for discrete families of orthogonal polynomials, obtained by an application of the celebrated Zeilberger algorithm. Next, we present algorithms for holonomic families f(n, x) of special func...