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A model (or structure) a for a language l is an ordered pair ha A model implementation document describes how the model is implemented, the hardware and software environment, how the model is operated, testing that ensures the model is. Ii where a is a nonempty set and i is an interpretation function with domain the set of all constant, function.

In the final analysis, a model is judged using a single, quite pragmatic, factor, the model's usefulness A mechanistic or scientific model begins with a description of how nature might work, and proceeds from this description to a set of predictions relating the independent and dependent. What is a hidden markov model (hmm)

A hidden markov model, is a stochastic model where the states of the model are hidden

Each state can emit an output which is observed. In this paper, these concepts are defined in algebraic terms, using morphisms, functors and natural transformations It is argued that inference on the basis of a model is not possible.

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