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1. Consider the thermostat of the following example as discussed in the class. input:temperature:Routputs:heatOn,heatOff:pure (a) From this State machine, construct the formal mathematical model. (b)

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1. Consider the thermostat of the following example as discussed in the class. input:temperature:Routputs:heatOn,heatOff:pure (a) From this State machine, construct the formal mathematical model. (b) Now change the model as follows: add the scenario when cooling of the system can be done as well using the following two outputs: coolON, coolOFF

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