Sufficiently Large

In mathematics, the phrase sufficiently large is used in contexts such as:

is true for sufficiently large

which is actually shorthand for:

such that is true .

This does not necessarily mean that any particular value for is known, but only that such an exists. The phrase "sufficiently large" should not be confused with the phrases "arbitrarily large" or "infinitely large".

Read more about Sufficiently Large:  Other Uses in Mathematics

Famous quotes containing the words sufficiently and/or large:

    The French are certainly misunderstood:Mbut whether the fault is theirs, in not sufficiently explaining themselves; or speaking with that exact limitation and precision which one would expect ... or whether the fault may not be altogether on our side ... I shall not decide.
    Laurence Sterne (1713–1768)

    Spring is strong and virtuous,
    Broad-sowing, cheerful, plenteous,
    Quickening underneath the mould
    Grains beyond the price of gold.
    So deep and large her bounties are,
    That one broad, long midsummer day
    Shall to the planet overpay
    The ravage of a year of war.
    Ralph Waldo Emerson (1803–1882)