Examples of Limits of Nets
- Limit of a sequence and limit of a function: see below.
- Limits of nets of Riemann sums, in the definition of the Riemann integral. In this example, the directed set is the set of partitions of the interval of integration, partially ordered by inclusion.
Read more about this topic: Net (mathematics)
Famous quotes containing the words examples of, examples, limits and/or nets:
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (16881744)
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (16701733)
“I shall have the veil withdrawn and be allowed to gaze unblinded on the narrow limits of my own possibilities.”
—Beatrice Potter Webb (18581943)
“And Jesus said to them, Follow me and I will make you fish for people. And immediately they left their nets and followed him.”
—Bible: New Testament, Mark 1:17,18.