Event segment: Difference between revisions

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== Event segments ==
 
=== Event and null event ===
An ''event'' is a label that abstracts a change. Given an event set <math> Z</math>, the ''null event'' denoted by <math> \epsilon \not \in Z</math> stands for nothing change.
 
=== Time base ===
The ''time base'' of the concerning systems is denoted by <math> \mathbb{T} </math>, and defined
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<center><math> \mathbb{T}=[0,\infty) </math> </center>
as the set of non-negative real numbers.
 
=== Event and null event ===
An ''event'' is a label that abstracts a change. Given an event set <math> Z</math>, the ''null event'' denoted by <math> \epsilon \not \in Z</math> stands for nothing change.
 
=== Timed event ===
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=== Null segment ===
The ''null segment'' over time interval <math> [t_l, t_u] \subset \mathbb{T} </math> is denoted by <math> \epsilon_{[t_l, t_u]}</math> which means thatnothing therein is<math>Z</math> no eventoccurs over <math> [t_l, t_u] </math>.
 
=== Unit event segment ===