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A Bayesian function referred to one of several algorithms that could be used to constrain probability distributions of hidden parameters in a statistical model.
In 2367, Data applied a Bayesian function to the sensor data collected by a probe. A Bayesian function was used among others in a spatiotemporal statistical model to infer the location of two-dimensional lifeforms that were causing the engine troubles of the USS Enterprise-D. (TNG: "The Loss")