A random compact set is а measurable function from а probability space into .
Put another way, a random compact set is a measurable function such that is almost surely compact and
is a measurable function for every .
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Famous quotes containing the words random, compact and/or set:
“Man always made, and still makes, grotesque blunders in selecting and measuring forces, taken at random from the heap, but he never made a mistake in the value he set on the whole, which he symbolized as unity and worshipped as God. To this day, his attitude towards it has never changed, though science can no longer give to force a name.”
—Henry Brooks Adams (1838–1918)
“Take pains ... to write a neat round, plain hand, and you will find it a great convenience through life to write a small and compact hand as well as a fair and legible one.”
—Thomas Jefferson (1743–1826)
“Then when he saw it could hold no more,
Bishop Hatto, he made fast the door;
And while for mercy on Christ they call,
He set fire to the barn and burnt them all.”
—Robert Southey (1774–1843)