The answer depends on the context. The applications will vary from one context to another.
There are agricultural fields.
There are vector fields in physics which depict the magnitudes and directions of forces.
There are algebraic structures called fields which have some mathematical properties associated with them.
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reduction factor is used to find earth's magnetic field and compare galvanometer constants
Math allows you to calculate load, forces, stability, fragility, stress, strain, it goes on for ever.
Derivatives can be used for numerous applications from determining the volume of different shapes to analyzing anything from water and heat flow. Yet the applications vary greatly between the engineering disciplines and the answer would be quite different for chemical engineers than for applied physics engineers. Derivatives can be used for numerous applications from determining the volume of different shapes to analyzing anything from water and heat flow. Yet the applications vary greatly between the engineering disciplines and the answer would be quite different for chemical engineers than for applied physics engineers.
Widgets are mainly used in the field of today's computing. They are basically software applications that are used by the end user in web pages to basically build various applications like a clock or a ticker for the stock market. They are often used by third party sites to embed an application on a website.
Analytical geometry is used widely in engineering. It set the foundation for algebraic, differential, discrete, and computational geometry. It is the study of geometry using a coordinate system.