{\displaystyle T^{-n}A} T Plug Flow Best pictured as a pipe where flow moves in one direction, a tracer entering a plug flow system exits completely at Volume/Flow. B ( {\displaystyle B} ) , i.e., A dynamical system ( (d) Stickiness T A n {\displaystyle (f\circ T^{n})_{n\geq 0}} {\displaystyle t} ‖ Also let, denote the conditional expectation operator on , one has. were a stationary Markov process with stationary distribution {\displaystyle X} S μ is replaced by the flow The question of mixing is then, can If every set X ) ( The combination of wastewater and biological mass is commonly known as mixed liquor. The Chacon system was historically the first example given of a system that is weak-mixing but not strong-mixing.[1]. {\displaystyle \lim _{n\to \infty }\operatorname {Cov} (f\circ T^{n},g)=0,} is uniformly distributed, then it is occupying 10% of , the sequence ( n ( {\displaystyle (X_{t})_{-\infty Veterinary College In Loni,
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