Mathematical models can tak mony furms, includin but nae leemitit taedynamical seestems,statistical models,differential equations, orgame theoretic models. These an ither types o models can owerlap, wi a gien model involvin a variety o abstract structurs. In general, mathematical models mey includelogical models, as far as logic is taken as a pairt o mathematics. In mony cases, the quality o a scientific field depends on hou well the mathematical models developed on the theoretical side agree wi results o repeatable experiments. Lack o agreement atween theoretical mathematical models an experimental measurments eften leads tae important advances as better theories are developed.
