Sentence examples for refined analytic from inspiring English sources

Further, we calculate the ratio of the refined analytic torsion and the Farber Turaev combinatorial torsion.

We show that the refined analytic torsion is a holomorphic section of the determinant line bundle over the space of complex representations of the fundamental group of a closed oriented odd-dimensional manifold.

However, not even using this refined analytic method provided any association between GSTM1 CNV on risk for RA in general.

Future development of the field relies on refining analytic methods better to understand the physical flow of resources in human society and the individual and collective behavior that modulates them.

These recommendations were refined in analytic conferences with all members of the research team to ensure that they were supported by the data.

An ability to quickly and easily refine analytic models is especially valuable when your data sets aren't perfect.

More specifically, our aim was to advance knowledge in this area by collating athlete mortality/longevity literature that may help refine future analytic methods, form evidence-based models of athlete longevity, and determine whether elite-level participation in high-performance sport produces a lifespan longevity advantage.

Prioritizing health helped define the scope and refine the analytic approach used to create the framework.

Team teleconferences were used to discuss and refine the analytic framework.

To refine the analytic plan in December 2011, we reviewed all CORONARY data without knowledge of patient allocation.

JWC (as PI) and SU were responsible for collecting the original data, and commenting on and editing consecutive drafts, and refining the analytic strategy.