The infinite set of dimensions Dq, singularity of strength α(q) and the fractional dimension f(α) oftwo-frequency quasiperiodic attractor in the quasiperiodically forced circle map are numerically calculated, andthe corresponding figures are given.

A laconic proof for continuity of spectrum of infinite dimensional linear operator and computation of eigenvectors;

This paper discusses how to teach students"the product of infinite infinitesimals isn t necessarily infinitesimal" in teaching "advanced mathematics" Or "Mathematical Analysis",and the author provides some new original examples which had not been seen in currently available textbook and riches the teaching content.