He and Liu initiated a study of the intersection of level sets of Rademacher series through the Rademacher series with vector-value coefficients. Their result based on an estimation about the sum of five vectors which are less than one in norm. In this paper, we continue such investigation. Since the estimation is invalid if the dimension of vectors is larger than 2, we use the mask of a vector instead of employing the estimation to discuss when the Rademacher range of a sequence is dense or equal to the whole space. We then apply this result t...
