Editing Mathematical model (section)

==Elements of a mathematical model==

Mathematical models can take many forms, including [[dynamical systems]], [[statistical model]]s, [[differential equations]], or [[Game theory|game theoretic models]]. These and other types of models can overlap, with a given model involving a variety of abstract structures. In general, mathematical models may include [[model theory|logical models]]. In many cases, the quality of a scientific field depends on how well the mathematical models developed on the theoretical side agree with results of repeatable experiments. Lack of agreement between theoretical mathematical models and experimental measurements often leads to important advances as better theories are developed. In the [[physical sciences]], a traditional mathematical model contains most of the following elements:
# [[Governing equation]]s
# Supplementary sub-models
## Defining equations
## [[Constitutive equation]]s
# Assumptions and constraints
## [[Initial condition|Initial]] and [[boundary condition]]s
## [[Constraint (classical mechanics)|Classical constraints]] and [[Kinematics|kinematic equations]]