In this short note, we count the points on algebraic sets which lie in a subset of domain. It is proved that set coming from certain subsets domain has full asymptotic. This generalizes first theorem [E. Alkan and E.S. Yörük, Statistics characterization matrices by determinant trace, Ramanujan J., 2019] also anwers some questions same article.

The Idea for this article was given by a problem in real analysis. We wanted to determine the one-dimensional Lebesgue-measure of the set f(C)9 where C stands for the classical triadic Cantor set and/is the Cantor-function, which is also known as "devil's staircase." We could see immediately that to determine the above measure we needed to know which dyadic rationals were contained in C. We soo...