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Ordered exponential
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{{Short description|Generalisation of the exponential integral to non-commutative algebras}} {{More citations needed|date=April 2018}} The '''ordered exponential''', also called the '''path-ordered exponential''', is a [[mathematics|mathematical]] operation defined in [[non-commutative]] [[algebra over a field|algebras]], equivalent to the [[exponential function|exponential]] of the [[integral]] in the [[commutative]] algebras. In practice the ordered exponential is used in [[matrix (mathematics)|matrix]] and [[operator (mathematics)|operator]] algebras. It is a kind of [[product integral]], or Volterra integral.
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