Proceedings of the American Mathematical Society, Vol. 102, No. 3 (Mar., 1988), pp. 473-479 (7 pages) We present criteria for irrationality of limits of convergent sequences of rational numbers, ...
We prove that if κ is an uncountable regular cardinal and a compact T2 space X contains a free sequence of length κ, then X also contains such a sequence that is convergent. This implies that under CH ...
The study of statistical convergence of complex uncertain sequences bridges classical analysis with uncertainty quantification, addressing challenges inherent in systems where outcomes are not ...
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