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He laid the foundation for the modern theory of probabilities, formulated what came to be known as Pascal's principle of pressure, and propagated a religious doctrine that taught the experience of God through the heart rather than through reason.
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Detection performance in terms of detection probability and false alarm probability is formulated.
The difference in allele frequencies between subpopulations may effect the accuracy of the posterior call probability and thus the genotype calls since the prior probability is formulated in terms of HWE frequencies (accounting for inbreeding) assuming a single, random mating population.
Then, a method to evaluate the encounter probability is formulated.
The successful transmission probability is defined as the probability that the formulated problem for DRM (CRM), i.e., (mathcal {Q}_{1}^{text {DRM}}) ((mathcal {Q}_{1}^{text {CRM}})), is successfully solved with the proposed SDR (PenFun) algorithm.
The exact statistical power is computed based on the transition probability of the formulated Markov chain.
The other approach specifies a transition/conditional probability model to formulate the probability of the current disease level based upon the previous level.
Moreover, to alleviate the influence of shadows, the properties of shadows are also formulated as probabilities and used for shadow detection and elimination.
The register data are formulated as probabilities of low, medium, and high exposure.
The objective function is formulated as probability functions that reflect common OCR measurements – pattern resemblance, sizing conformity and distance between connected components.
In practice, however, the theoretical methods formulated with probability densities do not scale up very well and can quickly become intractable even for estimation problems of reasonable dimensionality.
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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