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Mathematics
General Math
What are the applications of inverses of vector functions?
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[QUOTE="FactChecker, post: 6817387, member: 500115"] Your definition of a vector function would also define an inverse vector function. Either one is from ##\mathbb{R}^2## to ##\mathbb{R}^2##, and it is hard to say which is the original function and which is the inverse. Consider aerodynamics and airflow around a flying airplane. At every point of ##\mathbb{R}^3## there is a direction and magnitude of airflow in ##\mathbb{R}^3##. In designing an airplane, it is important to model the aerodynamics of the airplane. One problem to study is that a certain orientation of a flying airplane leads to a local flow at the sensor for Angle Of Attack, AOA. There is another problem that involves the inverse function. Given a reading from the AOA sensor, one would like to know what that implies about the orientation of the airplane relative to the overall wind axis. [/QUOTE]
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What are the applications of inverses of vector functions?
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