Using finite support iteration of c.c.c. partial orders we provide a model of b = κ < s = κ for κ an arbitrary regular, uncountable cardinal.

This paper explores the use of spectral analysis to examine network evolution and co-evolution. Given a sufficient number of measurements of a valued network over time, a matrix (Κ Κ Κ Κ) may be created, where κ ij is the squared coherency between nodes i and j. Since Κ Κ Κ Κ is a matrix of relations, it may be analyzed like any other network to determine which nodes co-evolve, and which change...

BACKGROUND AND PURPOSE Emerging optical imaging technologies such as confocal laser endomicroscopy (CLE) hold promise in improving bladder cancer diagnosis. The purpose of this study was to determine the interobserver agreement of image interpretation using CLE for bladder cancer. METHODS Experienced CLE urologists (n=2), novice CLE urologists (n=6), pathologists (n=4), and nonclinical resear...

OBJECTIVES To validate and assess reliability of a novel triage system, one-two-triage (OTT), that can be applied by inexperienced providers in low-resource settings. METHODS This study was a two-phase prospective, comparative study conducted at three hospitals. Phase I assessed criterion validity of OTT on all patients arriving at an American university hospital by comparing agreement among ...

The purpose of this note is to describe a framework which unifies radial, chordal and dipolar SLE. When the definition of SLE(κ; ρ) is extended to the setting where the force points can be in the interior of the domain, radial SLE(κ) becomes chordal SLE(κ; ρ), with ρ = κ − 6, and vice versa. We also write down the martingales describing the Radon-Nykodim derivative of SLE(κ; ρ1, . . . , ρn) wit...

We show that various tameness assertions about abstract elementary classes imply the existence of large cardinals under mild cardinal arithmetic assumptions. For instance, we show: Theorem. Let κ be uncountable such that μω < κ for every μ < κ. If every AEC with Löwenheim-Skolem number less than κ is < κ-tame, then κ is almost strongly compact. This is done by isolating a class of AECs that exh...

The reduction of Triphos [PhP(CH(2)CH(2)PPh(2))(2)] iron halide complexes has been explored, yielding formally zerovalent (κ(3)-Triphos)Fe(κ(2)-Triphos) and (κ(3)-Triphos)Fe(κ(2)-Bpy). Electrochemical analysis, coupled with the metrical parameters of (κ(3)-Triphos)Fe(κ(2)-Bpy), reveal an electronic structure consistent with a π-radical monoanion bipyridine chelate that is antiferromagnetically ...

We prove that the outer boundary of the final hull of some chordal SLE(κ; ~ ρ) process has the same distribution as the image of some chordal SLE(κ; ~ ρ′) trace, where κ > 4 and κ = 16/κ; and the reversal of some SLE(4; ~ ρ) trace has the same distribution as the time-change of some SLE(4; ~ ρ′) trace. And we also study some geometric properties of some chordal SLE(κ; ~ ρ) traces.

Let κ be an uncountable regular cardinal. Call an equivalence relation on functions from κ into 2 second order definable over H(κ) if there exists a second order sentence φ and a parameter P ⊆ H(κ) such that functions f and g from κ into 2 are equivalent iff the structure 〈H(κ),∈, P, f, g〉 satisfies φ. The possible numbers of equivalence classes of second order definable equivalence relations c...

Let κ be an uncountable regular cardinal. Call an equivalence relation on functions from κ into 2 Σ11-definable over H(κ) if there is a first order sentence φ and a parameter R ⊆ H(κ) such that functions f, g ∈ κ2 are equivalent iff for some h ∈ κ2, the structure 〈H(κ),∈, R, f, g, h〉 satisfies φ, where ∈, R, f , g, and h are interpretations of the symbols appearing in φ. All the values μ, 1 ≤ μ...