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Given n points n1,...,nk in the xy-plane, is it always possible to find a point p such that d(ni,p) is rational for 0<i<k+1?
daveb said:um...either I'm misinterpreting the OP or the answer can be seen by drawing a circle radius p/q (where p/q is rational) around any of the points (with the point as the center).
The problem with physics points is that they are not a fundamental concept in physics. They were originally introduced as a convenient mathematical tool, but they do not have a physical meaning or representation in the real world. This can lead to confusion and limitations in understanding and predicting physical phenomena.
Physics points differ from other concepts in physics because they do not have a physical manifestation. Concepts such as mass, energy, and force have tangible effects on the physical world, but physics points are simply mathematical constructs used to describe the position and movement of objects.
No, physics points cannot be directly observed or measured. They are a theoretical concept used to simplify and model real-world situations, but they do not have a physical representation that can be observed or measured.
Yes, physics points are still used in some areas of modern physics, such as classical mechanics and Newtonian physics. However, they are not as widely used in more complex and advanced theories, such as quantum mechanics and general relativity.
One of the main limitations of using physics points in scientific research is that they do not accurately represent the complexities of the real world. As a result, they may not be able to fully explain or predict certain phenomena, and can lead to inaccuracies in scientific models and theories. It is important for scientists to recognize the limitations of physics points and use them appropriately in their research.