Two doubly infinite sets of series for π

a cross-comparative dtudy between two textbook series in terms of the presentation of politeness

چکیده ندارد.

Collection of series for π

Selection of some of the numerous series expansion involving the famous constant π.

Generated topology on infinite sets by ultrafilters

Let $X$ be an infinite set, equipped with a topology $tau$. In this paper we studied the relationship between $tau$, and ultrafilters on $X$. We can discovered, among other thing, some relations of the Robinson's compactness theorem, continuity and the separation axioms. It is important also, aspects of communication between mathematical concepts.

Cardinality for Infinite Sets

How can we determine whether two sets have the same cardinality (or “size”)? The answer to this question, reassuringly, lies in early grade school memories: by demonstrating a pairing between elements of the two sets. More formally, we need to demonstrate a bijection f between the two sets. The bijection sets up a one-to-one correspondence, or pairing, between elements of the two sets. We know ...

On the Doubly Infinite Pkodtjcts