Sentence examples for mathematical characterization of from inspiring English sources
This means that a purely mathematical characterization of the applicability of mathematics (via structure preservation) is inherently incomplete.
On most views, with a mathematical characterization of logical truth we attempt to delineate a set of formulae possessing a number of non-mathematical properties.
What is new to Tarski's proposal is that he makes precise the idea using the apparatus he had developed for the mathematical characterization of satisfaction and truth.
A standard approach to the mathematical characterization of logical truth, alternative to the derivability approach, uses always some version of the property of universal validity, proposing it in each case as both necessary and sufficient for logical truth.
One major objective of our research for the past two decades has been the development of novel topological indices for the mathematical characterization of molecular structure.
The main result of this paper is a new criterion for the existence, uniqueness and mathematical characterization of the quasi-static regime.
In part 2 we will describe, also in outline, a particular set of philosophical issues that arise when one considers the attempted mathematical characterizations of logical truth.
Exploiting the recent works in combinatorial rigidity theory we provide mathematical characterizations of these graphs derived from 'minimal' linkages.
The mathematical characterizations of the multiple thermodynamic systems are achieved by 1D calculation and the underhood structure is described by 3D simulation.
Beginning with the seminal work of McCulloch and Pitts in the early 1940s, the pursuit of increasingly accurate mathematical characterizations of the electrophysiological properties of individual neurons and networks of interconnected neurons has been a driving force in neural network research.
Improved mathematical characterizations of forecast model error, including model parameter calibration and more accurate quantification of uncertainties in the state estimate and its covariance in the presence of systematic errors, is a topic of ongoing research [ 40- 42].
