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)
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (16881744)
“The limits of my language mean the limits of my world.”
—Ludwig Wittgenstein (18891951)
“Translation is entirely mysterious. Increasingly I have felt that the art of writing is itself translating, or more like translating than it is like anything else. What is the other text, the original? I have no answer. I suppose it is the source, the deep sea where ideas swim, and one catches them in nets of words and swings them shining into the boat ... where in this metaphor they die and get canned and eaten in sandwiches.”
—Ursula K. Le Guin (b. 1929)