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indicators- replay vs. realtime



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I am in a debate with someone.
I say that when you 'replay' a historical dataset
indicators do NOT behave in the same way as they 
would in a realtime situation...
(clicking on a button to advance the market forward one bar
like built into esignal- to quickly fastforward through historical) 
Am I wrong?
If I am correct- is there a 'name' for that?  
Thanks,
Marc Miller