Net (mathematics) - Examples of Limits of Nets

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:

    It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.
    —G.C. (Georg Christoph)

    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 (1670–1733)

    You must confine yourself within the modest limits of order.
    William Shakespeare (1564–1616)

    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)