scholarly journals Solving Agreement Problems with Weak Ordering Oracles

2002 ◽  
pp. 44-61 ◽  
Author(s):  
Fernando Pedone ◽  
André Schiper ◽  
Péter Urbán ◽  
David Cavin
Keyword(s):  
Weak Ordering

scholarly journals A Weak Ordering of Positive Dependence Structure of Stochastic Processes

1998 ◽  
Vol 21 (1) ◽  
pp. 95-105
Author(s):  
Jong-Il BAEK ◽  
Jeong-Yeol CHOI ◽  
Dae-Hee RU
Keyword(s):  
Stochastic Processes ◽  
Dependence Structure ◽  
Positive Dependence ◽  
Weak Ordering

scholarly journals On Ordered Geometries

1963 ◽  
Vol 6 (1) ◽  
pp. 27-36 ◽  
Author(s):  
P. Scherk
Keyword(s):  
Geometric Algebra ◽  
Plane Geometry ◽  
Skew Field ◽  
Ordered Field ◽  
Weak Ordering

In Theorem 2.20 of his Geometric Algebra, Artin shows that any ordering of a plane geometry is equivalent to a weak ordering of its skew field. Referring to his Theorem 1. 16 that every weakly ordered field with more than two elements is ordered, he deduces his Theorem 2.21 that any ordering of a Desarguian plane with more than four points is (canonically) equivalent to an ordering of its field. We should like to present another proof of this theorem stimulated by Lipman's paper [this Bulletin, vol.4, 3, pp. 265-278]. Our proof seems to bypass Artin's Theorem 1. 16; cf. the postscript.

scholarly journals Thermodynamic and Transport Properties of Molten Bi-In Alloys

2017 ◽  
pp. 5-9
Author(s):  
B. P. Singh ◽  
B. K. Singh ◽  
I. S. Jha ◽  
G. K. Shrestha ◽  
I. Koirala
Keyword(s):  
Transport Properties ◽  
Structural Characteristics ◽  
Input Parameter ◽  
Enthalpy Of Mixing ◽  
Mixing Enthalpy ◽  
Weak Ordering ◽  
Thermodynamic And Transport Properties ◽  
Interchange Energy ◽  
Free Energy Of Mixing ◽  
Gibb’S Free Energy

We have used simple statistical theory to describe the mixing behavior of liquid Bi-In alloys in terms of energetic and structure through the study of their thermodynamic and transport properties. The structural characteristics of Bi-In melts are described by the two microscopic functions, i.e. the concentration fluctuation in long wavelength limit and the Warren-Cowley short range order parameter. The transport properties are analyzed through the diffusion coefficient ratio and viscosity. The Gibb’s free energy of mixing, enthalpy of mixing and entropy of mixing are the thermodynamic functions which are used to describe the thermodynamic behaviors. In whole analysis thermodynamic input parameter, i.e. interchange energy take important role which is temperature dependent. The computed results are in good agreement with experimental data and support a weak ordering tendency in molten Bi-In system.The Himalayan Physics Vol. 6 & 7, April 2017 (5-9)

Weak ordering—a new definition

1990 ◽  
Vol 18 (2SI) ◽  
pp. 2-14 ◽  
Author(s):  
Sarita V. Adve ◽  
Mark D. Hill
Keyword(s):  
Weak Ordering

QUADRATIC EQUATIONS IN HILBERTIAN OPERATORS AND APPLICATIONS

2009 ◽  
Vol 20 (11) ◽  
pp. 1431-1454
Author(s):  
VICTOR J. MIZEL ◽  
M. M. RAO
Keyword(s):  
Random Fields ◽  
Sufficient Conditions ◽  
Linear Operators ◽  
Infinite Dimensions ◽  
Bounded Linear ◽  
Quadratic Equations ◽  
Weak Ordering ◽  
Finite Dimensional ◽  
Necessary And Sufficient ◽  
Adjoint Operators

In this paper bounded linear operators in Hilbert space satisfying general quadratic equations are characterized. Necessary and sufficient conditions for sets of operators satisfying two such equations to compare relative to a weak ordering are presented. In addition, averaging operators in finite dimensional spaces are determined, and in this case it is shown that they are unitary models for all projections. It is pointed out, by an example, that the latter result does not hold in infinite dimensions. A key application to certain second order random fields of Karhunen type is given. The main purpose is to present the structure of bounded non-self adjoint operators solving quadratic equations, and indicate their use.

Expected Utility, Ordering, and Context Freedom

1997 ◽  
Vol 13 (1) ◽  
pp. 79-86 ◽  
Author(s):  
Piers Rawling
Keyword(s):  
Rational Choice ◽  
Expected Utility ◽  
Rational Choice Theory ◽  
Choice Theory ◽  
Basic Requirement ◽  
The Past ◽  
Weak Ordering ◽  
Original Domain ◽  
Context Free ◽  
Rational Preferences

The context-free weak ordering principle (that rational preferences are weakly ordered, and that subtracting members from the domain of alternatives does not alter the ordering of the original domain, see, for example, Savage, 1972, pp. 205–6; McClennen, 1990, pp. 29–30) is viewed by many as a cornerstone of rational choice theory. McClennen, for example, claims (1990, p. 1) that this principle is one of a pair on which '[t]he theory of rational choice and preference, as it has been developed in the past few decades by economists and decision theorists, rests', and Sen (1970, p. 17) characterizes a version of context freedom (the ‘independence of irrelevant alternatives’, or ‘property α’) as ‘a very basic requirement of rational choice’. But this principle is certainly not uncontroversial: there are examples of (putative) principle is certainly not apper irrational.

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