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Assume that A generates a solution operator S α ( t ).

It is known that A generates an analytic semigroup in both H and V*.

In this paper, we suppose that A generates an equicontinuous semigroup T ( t ) on X.

It is known that A generates a compact semigroup S ( t ), t > 0, in X and is given by.

It is well known that A generates a strongly continuous semigroup { T ( t ) } t ≥ 0 which is compact, analytic, and self-adjoint.

It is well known that A generates an analytic (and hence immediately norm continuous) and compact (C_{0} -semigroup (T(t)) on X.

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Each book is wired with a double-A battery that generates 1.5 volts of electricity.

with diag being an operator that generates a diagonal matrix from a vector.

The Rorschach is a stimulus that generates a lot of information.

TagCloud is a service that generates a "tagcloud" (see below) based on provided URLs or feeds.

In a country that generates a vast amount of wealth, inequality is staggering.

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