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MOND as the weak field limit of an extended metric theory of gravity with torsion

, 2016
.In this article we construct a relativistic extended metric theory of gravity, for which its weak field limit reduces to the non-relativistic MOdified Newtonian Dynamics regime of gravity. The theory is fully covariant and local. The way to achieve this
E. Barrientos, S. Mendoza
semanticscholar   +1 more source

Metric Iteration Theories

Fundamenta Informaticae, 1982
It is known that it is possible to impose a metric on the free iteration theory Γtr of Γ-trees such that the iterate f† of any tree f : n → p + n is a limit of of ‘finite approximations’ of f. Since this notion of limiting computation corresponds to our intuitive notion of iteration, it is natural to ask which other theories in the variety generated by
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PROBABILITY AND METRIC DISCREPANCY THEORY

Stochastics and Dynamics, 2011
We give an overview of probabilistic phenomena in metric discrepancy theory and present several new results concerning the asymptotic behavior of discrepancies DN(nkx) and sums ∑ckf(nkx) for sequences (nk)k ≥ 1 of integers.
Aistleitner, Christoph, Berkes, István
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Choquet Theory in Metric Spaces

Zeitschrift für Analysis und ihre Anwendungen, 2000
This paper deals with a generalization of the classical Choquet theorem. We consider metric spaces which are endowed with an abstract notion of convexity. Convex combinations are obtained by the solutions of variational inequalities. A generalized Krein-Milman theorem is derived from our Choquet theorem.
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Effective metric model theory

Mathematical Structures in Computer Science, 2014
This paper is a further investigation of a project carried out in Didehvar and Ghasemloo (2009) to study effective aspects of the metric logic. We prove an effective version of the omitting types theorem. We also present some concrete computable constructions showing that both the separable atomless probability algebra and the rational Urysohn space ...
Pourmahdian, Masoud   +2 more
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Metric Pattern Theory

1981
Given a set of laws R for the regular structure, they induce natural probability measures over the configuration space T(R) and associated image algebras. This topic — metric pattern theory — was introduced in Section 2.10 of Volume I and we shall pursue it further in this chapter, extend the results to great generality and deepen some of them.
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Metric Space Theory

2018
A topological space is paracompact if every open cover has a locally finite refinement. We present Mary Ellen Rudin’s proof of Stone’s theorem, which asserts that metric spaces are paracompact. A collection of continuous nonnegative functions is a partition of unity subordinate to a given open cover if the sum of the functions is identically unity and ...
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Metric Number Theory

1998
Abstract This book deals with the number-theoretic properties of almost all real numbers. It brings together many different types of result never covered within the same volume before, thus showing interactions and common ideas between different branches of the subject.
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Metric-torsion gravitational theories

General Relativity and Gravitation, 1977
It is shown that under certain assumptions the Einstein-Cartan field equations are not unique but may reasonably be modified to a degree. These modified Einstein-Cartan equations are proven to be unique under quite general conditions and are likely the most general equations in any metric-torsion gravitational theory whose field equations are derivable
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Theory Driven Organizational Metrics

2008
The inability to establish first principles has kept organizational theory from being successful. Moreover, due to snapshots in time and researcher biases, case studies are limited to hindsight, rather than serving as a proactive source of solutions to organizational problems.
W.F. Lawless, Joseph Wood, Hui-Lien Tung
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