Sentence examples for mathematical rationale from inspiring English sources
However, the philosophical (as opposed to mathematical) rationale behind these notions is not yet clear.
Thus, PCA provides a mathematical rationale justifying the two predominant subtranscriptomes (G1, red; S/M blue) with a boundary at 4.6 hours.
One mathematical rationale behind the estimator is that its expected value, treating N i as given and N i 1, N i 2, O i 1 and O i 2 as dependent random variables, is: The estimates from each sibling pair can be combined into an overall estimate for ν based on simple averaging:, where M is the total number of sibling pairs.
Mathematical details and rationales for key modelling decisions are provided briefly in Appendix A1, and extensively in a technical supplement available at the website www.oncotcap.pitt.edu/docs/recurrence-overview.
Further mathematical analyses provided the rationale behind the confusing data presented on the activity of Grx active-site mutants.
We will therefore unfold empirical patterns at protein and proteome levels that would support our rationale and mathematical formulations.
Mathematical and physical justification of SY CN rationale invokes the existence of a relationship between the duration-dependent SY and runoff curve numbers (or potential maximum retention).
Mathematical and physical justification of SY CN rationale invokes the existence of a relationship between the duration-dependent SY and runoff curve numbers (or potential maximum retention) for different seasons.
In combination with the mathematical model, it provides a novel rationale to determine formerly inaccessible information for large cell populations by less time-consuming high-throughput measurements.
Because the number of professional mathematicians depends on the pool of mathematics students, the AMS report provided part of the rationale behind the establishment of the Mathematical and Theoretical Biology Institute ( MTBI) at Cornell University in 1996 (see box 1).
The chapter further discusses the essence and the rationale of optimization and the mathematical apparatus behind it and introduces the major techniques for optimizing water systems.
