Monte Carlo sampling-based estimators of solution quality for stochastic programs are known to be biased. We present a method for reducing the bias of the estimators produced by the Averaged Two-Replication Procedure via a probability metrics approach, which can be done in polynomial time in sample size. We present analytic results for the newsvendor problem, and discuss further theoretical and...

We define the concept of instability index of an isolated eigenvalue of a non-self-adjoint operator, and prove some of its general properties. We also describe a stable procedure for computing this index for Schrödinger operators in one dimension, and apply it to the complex resonances of a typical operator with a dilation analytic potential. AMS subject classification: 34L05, 35P05, 47A75, 49R...

We consider multi-target, robust linear-quadratic control problem on semi-infinite interval. Using functional-analytic approach developed in [2], we reduce this problem to a convex optimization problem on the simplex. Explicit procedure for the evaluation of the reduced objective function is described.

We construct a rigorous renormalisation scheme for analytic vector fields on T of Poincaré type. We show that iterating this procedure there is convergence to a limit set with a “Gauss map” dynamics on it, related to the continued fraction expansion of the slope of the frequencies. This is valid for diophantine frequency vectors. Email: [email protected]

A new procedure to determine simultaneously a horizontal descriptor of the surface the autocorrelation width and the most important vertical descriptor the root-mean-square roughness is presented. It is based on the inversion of an analytic contrast formula. After a short introduction to white light random phase contrast measurement we describe the elimination process and show fist experimental...

A new technic for the determination of total bilirubin is reported. The substitution of 2,4 dichloroaniline for sulfanilic acid results in a very stable diazotized reagent which reacts quickly with bilirubin in plasma or serum. Comparison with a sulfanilic acid procedure indicates that similar analytic values are obtained with this technic; short quality control studies indicate satisfactory pr...

Psychoanalysis, as procedure, theory and therapy, is a unique activity centred around a special approach to a formalised intersubjective relationship. The phenomena of transference and counter-transference between analyst and analysand allow the emergence of a generative interplay between creative impulses struggling for expression and a persistent search for clarity by appropriate analytic int...

For a complex flat vector bundle over a fibered manifold, we consider the 1-parameter family of certain deformed sub-signature operators introduced by Ma-Zhang in [MZ]. We compute the adiabatic limit of the Bismut-Freed connection associated to this family and show that the Bismut-Lott analytic torsion form shows up naturally under this procedure.

It is shown that no stable procedure for approximating functions from equally spaced samples can converge exponentially for analytic functions. To avoid instability, one must settle for root-exponential convergence. The proof combines a Bernstein inequality of 1912 with an estimate due to Coppersmith and Rivlin in 1992.

For a compact manifold, which has part isometric to cylinder of finite length, we consider an adiabatic limit procedure, in the length tends infinity. We study asymptotic spectrum Hodge-Laplacian and $L^2$-metric on de Rham cohomology. As application, give pure analytic proof gluing formula for torsion.