



How does the greatest integer function relate to discontinuities? Are they removable?
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what is a removable discontinuity Informational
- How does the concept of removable discontinuity extend to complex functions and singularities?
- What is the continuous extension of the function g(x) = (x^3 + 8) / (x + 2)?
- How can factoring help in identifying removable discontinuities?
- Consider the sinc function, sinc(x) = sin(x) / x. How is its value at x = 0 defined to make it continuous?
- In music synthesis or audio processing, can signals or filters have removable discontinuities in the frequency domain?
- How do removable discontinuities relate to the concept of gauge invariance in physics?
- Who were some of the key mathematicians who contributed to the understanding of discontinuities, including removable ones?
- What are some common algebraic manipulations that reveal removable discontinuities?
- What are some common algebraic expressions that often lead to removable discontinuities?
- Consider the Schwarzschild metric describing a black hole. Does it exhibit any removable discontinuities?
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