A ring is said to be an IBN ring if for every free left module A,every two bases of A havethe same cardinal.The class of such a ring has been applied to alegbra
IN 1994, Terras obtained the central limit theorem on Poincare upper half planeM=SL(2,R)/SO(2). This is the first non-Euclidean central limit theorem on a nonco
LET {ξ<sub>i</sub>} be a sequence of random variables and M<sub>n</sub> = =V ξ<sub>i</sub>, which connect asymptoticallysome regularly varying functions. Let
W<sub>HEN</sub> a dissociative system is subjected to an intense laser pulse, it will be photo-ionized. In the photo-ionization process, the dissociative system
LET T:D→D′be a continuous linear operatorl, and K denote the distribution kernel of T. Assume that restriction of K to the set{( x, y ) ∈R~n x R~n, x≠y}sati