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public:rem4:rem4-20:simulation

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2020 Lecture Notes






Using Models to Validate and Measure - a.k.a. Simulation

What simulation is A simplified model of subject under study - that is, a simplification not of the key causal factors in the phenomenon, which must remain in our model for it to be useful, but rather a reduction (sometimes a radical one) of the “extra stuff that really doesn't matter”.
What it does Simplifies! Makes it easier to
(A) set up testing conditions,
(B) control independent variables,
(C) make changes to the independent variables,(D) measure the results.
When to use When the complexity of that which is to be modeled/understood becomes so great that mathematical models are intractable and hypothesis falsification would take decades, centuries or millennia, or is simply out of the question (as in e.g. astrophysics).
Kinds of simulation methodologies Continuous time and state: E.g. differential equations.
Discrete time/state: E.g. automata.
Relation between scientific theories and simulations To build a simulation we need a theory that tells us how things relate to each other.
Procedure Pick methodology.
Decide which kinds of questions to answer.
Model major states/transitions or input/output/functional properties of system.
Run simulations with variations in independent variables.
Note outcome.
Fix model.
Repeat.





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