Electronics & Semiconductors

Modeling MOSFET behavior using automatic differentiation

Scientists from Nara Institute of Science and Technology (NAIST) used the mathematical method called automatic differentiation to find the optimal fit of experimental data up to four times faster. This research can be applied ...

Software

New tool maps future climate costs for airlines, passengers

When Phoenix temperatures topped 120 F in June 2017, American Airlines canceled dozens of flights at a local airport because the airplanes could not take off safely in the extreme heat. Scenarios like this are likely to become ...

Machine learning & AI

AI weather forecasting for smart farms

Researchers working on smart irrigation systems have developed a way to choose the most accurate weather forecast out of those offered in the week leading up to a given day.

Computer Sciences

Team creates software to optimize pharmaceutical development

The development of a new medication is an incredibly complex process. From laboratory research, to testing for safety and efficacy, to setting up manufacturing and obtaining regulatory approval, the process can take up to ...

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Mathematical model

A mathematical model uses mathematical language to describe a system. Mathematical models are used not only in the natural sciences and engineering disciplines (such as physics, biology, earth science, meteorology, and engineering) but also in the social sciences (such as economics, psychology, sociology and political science); physicists, engineers, computer scientists, and economists use mathematical models most extensively. The process of developing a mathematical model is termed 'mathematical modelling' (also modeling).

Eykhoff (1974) defined a mathematical model as 'a representation of the essential aspects of an existing system (or a system to be constructed) which presents knowledge of that system in usable form'.

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.

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