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Layman FJ
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Are the assumptions in mobius transformation valid in Newtonian physics?
If we consider rectilinear motion as circular motion along a circle of infinite radius,will it be mathematically correct ?mfb said:Möbius transformations are mathematical operations, they cannot be "valid in Newtonian physics". That's like asking "is the number 6 valid in Newtonian physics?"
Thanks for the reply.mfb said:You can do that, it has no relevance to physics how you call things.
A Mobius transformation is a mathematical function that maps points from one complex plane to another. It can also be thought of as a transformation of the entire complex plane.
Yes, a Mobius transformation assumes 3-D Euclidean space. It is a transformation that is defined in three-dimensional space and is often used to map points on a sphere onto a plane, which is a 3-D Euclidean space.
Yes, a Mobius transformation can be applied to other types of spaces, such as hyperbolic spaces and Riemann surfaces. However, the most commonly used space for Mobius transformations is 3-D Euclidean space.
Yes, there are many real-world applications of Mobius transformations, particularly in physics, engineering, and computer graphics. They can be used to model and analyze complex systems, such as fluid dynamics and electromagnetic fields.
Yes, there is a general formula for calculating a Mobius transformation, which involves four complex parameters. This formula can be used to transform any point in 3-D Euclidean space to another point on the same plane.