Neighbourhood (mathematics) - Examples

Examples

Given the set of real numbers with the usual Euclidean metric and a subset defined as

then is a neighbourhood for the set of natural numbers, but is not a uniform neighbourhood of this set.

— Epsilon-neighborhood

Read more about this topic:  Neighbourhood (mathematics)

Famous quotes containing the word examples:

    No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.
    André Breton (1896–1966)

    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)

    Histories are more full of examples of the fidelity of dogs than of friends.
    Alexander Pope (1688–1744)