The study of statistical convergence of complex uncertain sequences bridges classical analysis with uncertainty quantification, addressing challenges inherent in systems where outcomes are not ...

The evolution of antibiotic-resistant bacteria is a major public health concern. To combat antibiotic-resistant infections, not only must new drugs be developed, but existing drugs must also be used ...

This paper examines part of a set of students who were followed during their first-term, first-year studies in formal definition-based real analysis at a British university. It explores the approaches ...

Given a decreasing sequence {aⁿ} of nonnegative terms, we prove that there exist subsequences {nk } of {n} such that ∑k=1∞nk+1−nkank and ∑n=1∞an have the same convergence. In particular, ∑n=1∞an ...

Only some bats and toothed whales rely on sophisticated echolocation, in which they emit sonar pulses and process returning echoes, to detect and track down small prey. Now, two new studies show that ...