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Often the main experiment consist of a sequence of sub-experiments, each depending
on the outcome of the previous one. If n such sub-experiments are chained, then
the full experiment results in a chain of events, or a path
. If we assume that k-th experiment depends on the outcome
of the k-1-th experiment only, then
.
Denoting by
the generic path
, and by
we have the following path integral formula for the
probability of an event
specifying the outcome of the complete
experiment, and consisting of many paths
.
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