A multi-Poisson structure on a Lie algebra g provides a systematic way to construct completely integrable Hamiltonian systems on g expressed in Lax form ∂Xλ/∂t = [Xλ, Aλ] in the sense of the isospectral deformation, where Xλ, Aλ ∈ g depend rationally on the indeterminate λ called the spectral parameter. In this paper, a method for modifying the isospectral deformation equation to the Lax equati...

This paper presents a toy model for the representation related phenomena. It is the representation that is always referred to. The represented thing in itself is indeterminate existence at a fundamental level of understanding. In order to capture such property of representation, this paper provides a toy model using an algebraic structure: torsor. The toy model captures this baselessness of rep...

OBJECTIVES Pelvic ultrasound performed by emergency physicians can identify a definite diagnosis in the majority of symptomatic first-trimester pregnant patients on the initial emergency department (ED) visit. However, a significant minority of such patients are diagnosed as having an indeterminate pregnancy state requiring further testing and consultation. The authors investigated the final ou...

OBJECTIVE To evaluate whether inactive cases of presumed ocular histoplasmosis syndrome (POHS) and multifocal choroiditis with panuveitis (MFC) can be differentiated from each other by their appearance on fundus photography and fluorescein angiography. METHODS Two masked observers classified 50 patients' photographs (27 with fluorescein angiograms) as POHS, MFC, or "indeterminate." Twenty-fiv...

Samples reactive by first-generation recombinant immunoblot assay (RIBA) to detect antibody to hepatitis C virus (anti-HCV) (RIBA-1 [Chiron, Calif.]) remained reactive by a second-generation test (RIBA-2) for HCV antibodies. A total of 75% of specimens indeterminate by RIBA-1 became reactive, 12.5% were nonreactive, and 12.5% remained indeterminate by RIBA-2. Among RIBA-1-nonreactive specimens,...

Temporal indeterminacy is an inherent problem which arises when capturing and manipulating temporal data in many application areas. As such, representation and manipulation of timestamps with indeterminacy is a requirement for these applications. We present an extension of Allen’s thirteen interval relationships to indeterminate temporal intervals based on a novel representation for indetermina...

New Pleistocene fossilized turtle remains from five localities of western Ecuador (Santa Elena Province) are described here. All these shell (carapace and plastron) fossil remains come from the Tablazo Formation and belong to three different lineages of cryptodires ("hidden-necked" turtles). The most abundant remains belong to geoemydids, attributed here to the genus Rhinoclemmys (indeterminate...

This paper presents preliminary fi ndings and is being distributed to economists and other interested readers solely to stimulate discussion and elicit comments. The views expressed in this paper are those of the authors and are not necessarily refl ective of views at the Federal Reserve Bank of New York or the Federal Reserve System. Any errors or omissions are the responsibility of the author...