On the Ordering of the Nonstandard Real Line

نویسندگان

  • MAURO DI NASSO
  • MARCO FORTI
چکیده

We investigate order-theoretic properties of the nonstandard real line, by isolating the basic order-types involved, and the possible relations among them. We focus on order-isomorphisms between the infinitesimals, the infinites, and the whole hyperreal line. We also compute the main cardinal invariants of the order-topology of the nonstandard real line.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Dynamic Inventory Planning with Unknown Costs and Stochastic Demand

Generally ordering policies are done by two methods, including fix order quantity (FOQ) and fix order period (FOP). These methods are static and either the quantity of ordering or the procedure of ordering is fixing in throughout time horizon. In real environments, demand is varying in any period and may be considered as uncertainty. When demand is variable in any period, the traditional and st...

متن کامل

The Ordering Process of Narrative in James Joyce's A Portrait of the Artist as a Young Man

Regarding the literary historical debates, one of the main concerns of modern historiography is the way of representing the concept of reality within the framework of a coherent narrative, a reality that is only achievable through the process of narrative that is supposed to be constructive and ordering. Therefore, in order to examine this ordering process of narrative in James Joyce's novel, A...

متن کامل

A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients

This paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. The method is based on a standard discretization of the problem on smooth regions and a nonstandard method for nonsmooth regions. The construction of the nonstandard method is based on the special treatment of the interface using suitable jump conditio...

متن کامل

The Numerical Solution of Klein-Gorden Equation by Using Nonstandard Finite Difference

‎In this paper we propose a numerical scheme to solve the one dimensional nonlinear Klein-Gorden equation‎. ‎We describe the mathematical formulation procedure in details‎. ‎The scheme is three level explicit and based on nonstandard finite difference‎. ‎It has nonlinear denominator function of the step sizes‎. ‎Stability analysis of the method has been given and we prove that the proposed meth...

متن کامل

An efficient nonstandard numerical method with positivity preserving property

Classical explicit finite difference schemes are unsuitable for the solution of the famous Black-Scholes partial differential equation, since they impose severe restrictions on the time step. Furthermore, they may produce spurious oscillations in the solution. We propose a new scheme that is free of spurious oscillations and guarantees the positivity of the solution for arbitrary stepsizes. The...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003