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Additional
Operator (mathematics)
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Operator (mathematics)
An
operator
is a
mapping
from one
vector space
or
module
to another. Operators are of critical importance to both
linear algebra
and
functional analysis
, and they find application in many other fields of pure and applied mathematics. For example, in
classical mechanics
, the
derivative
is used ubiquitously, and in
quantum mechanics
,
observables
are represented by
hermitian operators
. Important properties that various operators may exhibit include
linearity
,
continuity
, and
boundedness
.
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