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:

    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)

    In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.
    Michel de Montaigne (1533–1592)

    ... there are no limits to which powers of privilege will not go to keep the workers in slavery.
    Mother Jones (1830–1930)

    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.