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An operator L^~ is said to be linear if, for every pair of functions f and g and scalar t, L^~(f+g)=L^~f+L^~g and L^~(tf)=tL^~f.

A quantity from which another (the subtrahend) is subtracted.

If {f_n} is a sequence of measurable functions, with 0<=f_n<=f_(n+1) for every n, then intlim_(n->infty)f_ndmu=lim_(n->infty)intf_ndmu.

A mathematical object S is said to be multiplicatively closed if a,b in S implies that ab in S.

The Greek word for 10000.

An unknot which can only be unknotted by first increasing the number of crossings.

An element B of a ring is nilpotent if there exists a positive integer k for which B^k=0.

In the American system, 10^(30).

A quantity which is either 0 (zero) or positive, i.e., >=0.

In the American system, 10^(60).