So far we've used just one formal tool, probability theory.
We then used an online miRNA targeting tool, Probability of Interaction by Target Accessibility (PITA) [ 25], to compare the effects of these variants on miRNA binding, and only very subtle differences of miRNA targeting were found among all genotype combinations (Additional file 4: Figure S2).
The correlation between the predicted probabilities from the scoring tool probabilities and the predicted probabilities from the final model when applied to the validation cohort was 0.91.
It is also what humans do in general, and the mathematical tools of probability simply allow us to acknowledge that, and to make the exercise explicitly reproducible, which is surely a good scientific attribute.
The main objective of this work is to measure water quality using a stochastic index built with tools of Probability Theory.
The class will enable learners to apply the tools of probability theory to real-world applications or their research and is taught by John Tsitsiklis, the Clarence J. Lebel Professor in EECS.
The AMS recognized two papers published in 1966 and 1973, respectively, that "showed for the first time how to use the powerful tools of probability theory to attack the hard analytic questions of constructive quantum field theory," the award citation said.
Topics include: basic concepts and tools of probability, estimation, inference, decision analysis, and modeling.
Tools like probability theory and epistemic logic have numerous uses in many areas of philosophy besides epistemology.
I use a mixture of tools from probability theory, singularity theory, geometry, inverse problems, and fourier and asymptotic analysis in my work.
