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 ...

THIS work is designed to give a systematic treatment of convergence-factor theorems, where these consist of results concerning the relationship between a definition based on mean-values and a formally ...

In the fifth century B.C., the Greek philosopher Zeno of Elea attempted to demonstrate that motion is only an illusion by proposing the following paradox: Achilles the warrior is in a footrace with a ...

This paper considers a series estimator of 𝗕E[α(Y) λ(X) = λ̄], (α,λ) ∈ 𝒜 × Λ, indexed by function spaces, and establishes the estimator's uniform convergence rate over λ̄ ∈ R, α ∈ 𝐑, and λ ∈ Λ, ...