



Can a function have both a removable discontinuity and a non-removable discontinuity?
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what is a removable discontinuity Informational
- In fluid dynamics, can flow fields have removable discontinuities?
- Can a function be differentiable at a point of removable discontinuity after the discontinuity is removed?
- How do removable discontinuities affect the topology of the graph of a function?
- How do removable discontinuities relate to the concept of pseudodifferential operators?
- Consider the piecewise function f(x) = { x + 1 if x ≠ 3, k if x = 3 }. What value of k would make the function continuous at x = 3?
- How does the study of removable discontinuities connect to other areas of mathematics, such as topology, differential geometry, or abstract algebra?
- Can a filter in signal processing have a removable discontinuity in its frequency response?
- How are such discontinuities analyzed in network optimization?
- Does "filling the hole" change the topological properties of the graph?
- How are such discontinuities addressed during training and inference?
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