For more on model-theoretic notation, see the entries on model theory and first-order model theory.
This study is helpful for the validation and calibration of microscopic pedestrian models with discrete space representation and further narrowing the gap between these models' theory and their application to engineering.
So the question is: is there a distinction between models and theories and if so how do they relate to one another?
As described here, these improvements will be guided by high-throughput data and the cyclic crosstalk between model and theory, a needed step in integrating, interpreting and generating biological hypotheses in a more accurate fashion.
Economic theory explains the relationship between the referee and football teams through the agency model theory (Jensen and Meckling 1976).
The connection between this semantics and model theory is a little indirect.
The separation between models and theory is a very hazy one and in the jargon of many scientists it is often difficult, if not impossible, to draw a line.
Two theories have been proposed to explain this phenomenon: a vascular waterfall theory and an intramyocardial pump model theory.
Model theory investigates the relations between, on the one hand, the formal axioms, theorems, and laws of a particular theory and, on the other hand, the mathematical structures the models that provide an interpretation of that theory, or put differently, that make the theory's axioms, theorems, and laws true (Hodges 1997, Chapter 2; Jones 2005).
