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 (1688–1744)
“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
—André Breton (1896–1966)
“Mysticism and exaggeration go together. A mystic must not fear ridicule if he is to push all the way to the limits of humility or the limits of delight.”
—Milan Kundera (b. 1929)
“The philosopher caught in the nets of language.”
—Friedrich Nietzsche (1844–1900)