More Results on Inf/Sup, Density of Q in R

This lecture covers more results on inf/sup, including the integral part of a real number and the density of rational numbers in the real numbers. The instructor explains the new definition of inf/sup, properties related to inf/sup, and the Archimedean property. The lecture also delves into examples illustrating the concepts discussed, such as the existence of minimums and maximums in real numbers. Furthermore, the lecture explores the relationship between rational and real numbers, emphasizing the density of rational numbers in the real numbers. The properties of integral parts, rounding functions, and the completeness of real numbers are also discussed.