Let E(y) = Xb be the traditional linear regression model and let b̂ be an estimate of the unknown vector of regression parameters b. The tolerance quotient δ∗, defined and studied by Hlad́ık and Černý in (Interval regression by tolerance analysis approach, preprint in KAM-DIMATIA Series 963, 2010) is the least δ ≥ 0 such that for any i, the equation yi = Xiβ, where yi is the i-th observation of t...

Let X be a Banach space with closed unit ball B. Given k ∈ N, X is said to be k-β, repectively, (k + 1)-nearly uniformly convex ((k + 1)-NUC), if for every ε > 0, there exists δ, 0 < δ < 1, so that for every x ∈ B, and every ε-separated sequence (xn) ⊆ B, there are indices (ni) k i=1, respectively, (ni) k+1 i=1 , such that 1 k+1 ‖x + ∑k i=1 xni‖ ≤ 1 − δ, respectively, 1 k+1 ‖ ∑k+1 i=1 xni‖ ≤ 1−...

We prove that every tower of normal filters of height δ (δ supercompact) is precipitous assuming that each normal filter in the tower is the club filter restricted to a stationary set. We give an example to show that this assumption is necessary. We also prove that every normal filter can be generically extended to a well-founded V -ultrafilter (assuming large cardinals). In this paper we inves...

Objective: The aim of this study was to assess the efficacy (in terms of improved VAS Pain, Raynaud's Phenomenon attacks frequency and Raynaud’s Condition Score) of the Aminaftone in patients with Raynaud’s Phenomenon (RP) secondary to Systemic Sclerosis (SSc). Methods: Open label controlled study. We evaluated the efficacy of Aminaftone in the treatment of secondary RP in 108 patients with SSc...

Assuming SU(3) symmetry for the strong phases in the four decay modes B → π−π+, π0π+, π−K+, π−K̄0 and ignoring the relative small electroweak penguin effects in those decays, the weak phase γ and the strong phase δ can be determined in a model independent way by the CP-averaged branching ratios of the four decay modes. It appears that the current experimental data for B → ππ and πK decays prefer...

This article gives a brief overview of near sets. The proposed approach in introducing near sets is to consider a set theory-based form of nearness (proximity) called discrete proximity. There are two basic types of near sets, namely, spatially near sets and descriptively near sets. By endowing a nonempty set with some form of a nearness (proximity) relation, we obtain a structured set called a...

Assuming SU(3) symmetry for the strong phases in the four decay modes B → π−π+, π0π+, π−K+, π−K̄0 and ignoring the relative small electroweak penguin effects in those decays, the weak phase γ and the strong phase δ can be determined in a model independent way by the CP-averaged branching ratios of the four decay modes. It appears that the current experimental data for B → ππ and πK decays prefer...

Our main goal in this lecture is to analyze the mixing time of the (heat bath) Ball Walk on a convex body K, as defined in the previous lecture. In this walk, from any point x ∈ K, we move to a new point chosen uniformly at random in B(x, δ) ∩K, where B(x, δ) denotes the ball of radius δ centered at x, and δ = Θ( 1 √ n . Recall that this walk has stationary measure μ(x) = `(x) L , where L = ∫ K...

Let T be a triangular ring. An additive map δ from T into itself is said to be Jordan derivable at an element Z ∈ T if δ(A)B +Aδ(B) + δ(B)A+Bδ(A) = δ(AB+BA) for any A,B ∈ T with AB + BA = Z. An element Z ∈ T is called a Jordan all-derivable point of T if every additive map Jordan derivable at Z is a Jordan derivation. In this paper, we show that some idempotents in T are Jordan all-derivable po...