Almost periodic functions serve as a powerful conceptual framework in analysing differential equations whose coefficients or forcing terms exhibit recurrent behaviour over time. Rooted in the ...

csaps.CubicSmoothingSpline purports to support periodic functions, but does not implement this correctly. I believe this is because it is a smoothing spline, which means that there are far more knots ...

THE present book by one of the earliest workers in the subject treated in it promises to become a standard work. In some 190 pages it gives an account of the fundamental theorems dealing with almost ...

This is a Julia language library for computing periodic Mathieu functions with arbitrary q and n values. Mathieu functions are a class of very interesting and useful, but incredibly finnicky equations ...

The Collatz conjecture is an open problem involving the 3x + 1 function. The function belongs to a class of generalized 3x + 1 functions of relatively prime type. This paper focuses on exploring ...

Abstract: The increased need for accurately modeling the input-output characteristics of linear time-periodic (LTP) systems necessitates novel identification and control algorithms as well as new test ...