Exact(1)
Both figures show perfect accuracy for low SNR values (ρ<−2 dB); however, as SNR increases the approximation starts to show dissimilarity with the empirical results until both probabilities reach 1 (both distributions, the empirical and the analytical, are totally to the right of the considered threshold).
Similar(59)
Among the many Cassandras who did predict it, the most analytical was Robert J. Shiller of Yale University.
The research material may be disgusting, but the analytical methods are refined.
The Analytical Engine was to be a general-purpose, fully program-controlled, automatic mechanical digital computer.
What I can say is that the analytical acrobatics being employed to stop a discussion about race are astonishing.
The analytical sensitivity was determined to be <10 copies/ml.
The analytical scripts are available from the authors on request.
The analytical formulas are obtained.
The analytical results are verified through both simulations and measurements.
The analytical results are summarized and discussed.
The analytical expressions are validated numerically.
Write better and faster with AI suggestions while staying true to your unique style.
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