Question: Step Detection for Step Functions

Hi MaplePrimes team,


Does Maple have a step detection command for a given step function f(x)?

The command has to return a list of jump detections in a given range [xmin... xmax].

For example, can Maple find the following jump detections:


Figure 1 (trivial case): f(x) = floor(x)

where it is easy to guess the list of step detections: [x1 = 1, x2 = 2, x3 = 3, …, xn = n]


Figure 2: g(x) = 2 + floor(x + 5*sin x)

a little more difficult.


Thank you in advance.



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