Displaying similar documents to “When a first order T has limit models”

Generalized CreditRisk+ model and applications

Jakub Szotek (2015)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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In the paper we give a mathematical overview of the CreditRisk+ model as a tool used for calculating credit risk in a portfolio of debts and suggest some other applications of the same method of analysis.

A Mathematical Model for a Contracting Interstellar Cloud

Meri Lisi, Silvia Totaro (2009)

Bollettino dell'Unione Matematica Italiana

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In this paper, we study a one-dimensional mathematical model for a contracting interstellar cloud, with a star inside. Existence and uniqueness of a positive solution are proved by means of the fixed point theorem. A time discretization procedure is given and the case of an expanding interstellar cloud is also considered.

Strong initial segments of models of IΔ₀

Paola D'Aquino, Julia F. Knight (2007)

Fundamenta Mathematicae

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McAloon showed that if 𝓐 is a nonstandard model of IΔ₀, then some initial segment of 𝓐 is a nonstandard model of PA. Sommer and D'Aquino characterized, in terms of the Wainer functions, the elements that can belong to such an initial segment. The characterization used work of Ketonen and Solovay, and Paris. Here we give conditions on a model 𝓐 of IΔ₀ guaranteeing that there is an n-elementary initial segment that is a nonstandard model of PA. We also characterize the elements that...