This Research Studies the Asymptotic Structures of Banach Spaces Through the Notion of Envelope Functions. Analogous to the Original Ones, a New Notion of Disjoint-Envelope Functions Is Introduced and the Properties of These Functions In Connection to the Asymptotic Structures Are Studied. the Main Result Gives a New Characterization of Asymptotic- Spaces In Terms of the -Behavior of Disjoint-Permissible Vectors of Constant Coefficients.