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Expression 7 produces a decision system with theoretical minimum probability of error (MPE), which means that Bayesian decision systems may, ideally, reach the best possible classification performance, given the input data.
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Both encoding schemes are equivalent, since one can move from one to the other by applying Weyl's displacement operator (hat{D} alpha)) to both states.1 In the minimum-error approach, the theoretical minimum for the probability of error is given by the Helstrom formula for discriminating two pure states [20].
The fact that the best and worst service delivery conditions do not correspond to the theoretical maximum and minimum probability values (100% and 0%, respectively) is not a limitation of the model.
Another watermarking algorithm based on the WVD [69] does not assume any particular structure for the embedded watermark and offers a theoretical framework for designing the minimum probability of error detector.
The four categories represent a theoretical minimum.
The theoretical minimum stellar mass is about 0.08 solar mass.
It's all there is.The Theoretical Minimum: What You Need to Know to Start Doing Physics.
minimum probability flow.
This design drastically reduces the theoretical minimum size of a visible object.
And at 300dpi (the theoretical minimum size of a "pixel"), it might actually be pretty damn sharp.
Minimum probability of collision occurs at q i = 1 / N.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com