What are the interesting parametric functions with parameters to control its nonlinearity? f

Wronsonia8g

Wronsonia8g

Answered question

2022-07-08

What are the interesting parametric functions with parameters to control its nonlinearity?
f ( x ) = ( 1 α ) x + α g ( x )
where 0 α 1

Answer & Explanation

1s1zubv

1s1zubv

Beginner2022-07-09Added 17 answers

Step 1
Let f ( x , α ) be 0 if x is rational, and α otherwise.
Step 2
But honestly, if you don't define something which must be fulfilled to e.g. conclude that f(x, 0.1) is "more linear" than f(x, 0.2), the whole thing is a bit arbitrary (note that in the common understanding, a function is either linear or not, and that there is nothing in between).

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