Sequences Equidistributed With Respect To An Arbitrary Measure
For an arbitrary probability measure space, a sequence of points is said to be equidistributed with respect to if the mean of point measures converges weakly to :
It is true, for example. that for any probabilistic borel measure on a separable, metrizable space, there exists an equidistributed sequence (with respect to the measure).
Read more about this topic: Equidistributed Sequence
Famous quotes containing the words respect, arbitrary and/or measure:
“Captain, down where I come from we dearly love our whiskey, but we don’t drink with a man unless we respect him.”
—James Poe, U.S. screenwriter, and Based On Play. Robert Aldrich. Sergeant Tolliver (Buddy Ebsen)
“Languages exist by arbitrary institutions and conventions among peoples; words, as the dialecticians tell us, do not signify naturally, but at our pleasure.”
—François Rabelais (1494–1553)
“Outward simplicity befits ordinary men, like a garment made to measure for them; but it serves as an adornment to those who have filled their lives with great deeds: they might be compared to some beauty carelessly dressed and thereby all the more attractive.”
—Jean De La Bruyère (1645–1696)