



Can a filter in signal processing have a removable discontinuity in its frequency response?
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what is a removable discontinuity Informational
- Is every hole in a graph a removable discontinuity?
- How do image processing techniques deal with missing pixel data, and is there any analogy to removable discontinuities?
- Can a conformal mapping have removable singularities?
- What is the relationship between removable discontinuities and the concept of holes in a graph?
- How is the concept of a removable discontinuity taught in calculus courses?
- Consider string theory, which postulates extra spatial dimensions. Could removable discontinuities in the mathematical formulation be related to how these dimensions are compactified or hidden?
- Give an example of a function involving logarithms or exponentials with a removable discontinuity.
- 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?
- Can trigonometric functions have removable discontinuities?
- In music synthesis or audio processing, can signals or filters have removable discontinuities in the frequency domain?
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