Mathematical Modeling Task

Example(s):
- Statistical Modeling.
- ...
Counter-Example(s):
- Data Modeling.
See: Parameter Estimation, Computer Simulation, Model Theory, Mathematical Logic, Mathematical Language.

References

(Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/Mathematical_model Retrieved:2015年6月12日.
- A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, meteorology) and engineering disciplines (such as computer science, artificial intelligence), as well as in the social sciences (such as economics, psychology, sociology, political science). Physicists, engineers, statisticians, operations research analysts, and economists use mathematical models most extensively. A model may help to explain a system and to study the effects of different components, and to make predictions about behaviour.
  Mathematical models can take many forms, including but not limited to dynamical systems, statistical models, differential equations, or 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 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.

http://journals.cambridge.org/action/displayJournal?jid=MNP
- QUOTE: The Mathematical Modelling of Natural Phenomena (MMNP) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modelling in biology, medicine, chemistry, physics, and other areas. ...

http://en.wikipedia.org/wiki/Mathematical_model
- A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modelling. Mathematical models are used not only in the natural sciences (such as physics, biology, earth science, meteorology) and engineering disciplines (e.g. computer science, artificial intelligence), but also in the social sciences (such as economics, psychology, sociology and political science); physicists, engineers, statisticians, operations research analysts and economists use mathematical models most extensively.
  Mathematical models can take many forms, including but not limited to dynamical systems, statistical models, differential equations, or 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 logical models, as far as logic is taken as a part of mathematics. 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.

(Gombert et al., 2000) ⇒ Andreas Gombert Karoly, and Jens Nielsen. (2000). "Mathematical Modelling of Metabolism." Current opinion in biotechnology 11, no. 2
- QUOTE: ... Mathematical modelling is a very powerful tool in physics, chemistry, and engineering for interpretation and prediction of natural phenomena and experimental results [1]. A mathematical model is always a simplification of the actual phenomenon and it is therefore possible to ...