Equivariant estimation of a mean vector μ of N(μ, Σ) with μ′Σ−1μ = 1 or Σ−12μ = c or Σ = σ2μ′μl

σ-Normality of Topological Spaces

detection of volatile compounds of medicinal plants with some nano-sorbents using modified or new methodologies and investigation of antioxidant activity of their methanolic extracts

in this work, a novel and fast method for direct analysis of volatile compounds (davc) of medicinal plants has been developed by holding a filament from different parts of a plant in the gc injection port. the extraction and analysis of volatile components of a small amount of plant were carried out in one-step without any sample preparation. after optimization of temperature, extraction time a...

On quasistability of a vector combinatorial problem with Σ-MINMAX and Σ-MINMIN partial criteria

We consider one type of stability (quasistability) of a vector combinatorial problem of finding the Pareto set. Under quasistability we understand a discrete analogue of lower semicontinuity by Hausdorff of the many-valued mapping, which defines the Pareto choice function. A vector problem on a system of subsets of a finite set (trajectorial problem) with non-linear partial criteria is in focus...

Σ 1 Formulae in Σ L

The essentially Σ1 formulae of ΣL are exactly those which are provably equivalent to a disjunction of conjunctions of 2 and Σ1 formulae.

Σ _1^1 in Every Real in a Σ _1^1 Class of Reals Is Σ _1^1

We …rst prove a theorem about reals (subsets of N) and classes of reals: If a real X is 1 in every member G of a nonempty 1 1 class K of reals then X is itself 1. We also explore the relationship between this theorem, various basis results in hyperarithmetic theory and omitting types theorems in !-logic. We then prove the analog of our …rst theorem for classes of reals: If a class A of reals is...