A global analytic function is a family f of function elements such that, for any (f,U) and (g,V) belonging to f, there is a chain of analytic continuations in f beginning at (f,U) and finishing at (g,V).
A complete global analytic function is a global analytic function f which contains every analytic continuation of each of its elements.
Famous quotes containing the words global, analytic and/or function:
“Much of what Mr. Wallace calls his global thinking is, no matter how you slice it, still “globaloney.” Mr. Wallace’s warp of sense and his woof of nonsense is very tricky cloth out of which to cut the pattern of a post-war world.”
—Clare Boothe Luce (1903–1987)
““You, that have not lived in thought but deed,
Can have the purity of a natural force,
But I, whose virtues are the definitions
Of the analytic mind, can neither close
The eye of the mind nor keep my tongue from speech.””
—William Butler Yeats (1865–1939)
“The uses of travel are occasional, and short; but the best fruit it finds, when it finds it, is conversation; and this is a main function of life.”
—Ralph Waldo Emerson (1803–1882)