Sentence examples for dominating process and from inspiring English sources

The original process X can then be generated as an adapted functional F of the dominating process and a mark process M: (3) D t − T ≽ X t − T = F (D s, M s ), − T ≤ s ≤ t.

Since we have found a dominating process and an adapted functional, we can use Theorem 1 to obtain: Theorem 6 (DCFTP-SSA) Under the assumptions of Lemma 5, Theorem 1 is fulfilled and the DCFTP-SSA described in Algorithm 7 will produce a sample from the stationary distribution of the original process X with a coalescence time which will be finite almost surely.

While certainly not a panacea for studying functional dynamics, MSMs provide a rigorous theoretical foundation for understanding complex entropically dominated processes and a convenient lens for viewing protein motions.

As a consequence, not dilution by infiltrating water but rather resuspension of previously deposited intrakarstic sediment is probably the dominating process causing the Al and Fe increase.

Acid production by pyrite oxidation, weathering of primary minerals, precipitation of secondary salt and mineral phases, and leaching of salts down the profile are the dominating processes at the lignite and pyrite containing sites.

In these postulated cases, fuel sweep-out and the dispersion effects were dominating processes rather than fuel compaction and no re-criticality took place in the short term (1000 s).

The closed oxygen reduction peak and half-wave potentials, nearly four-electron dominated process, better methanol tolerance and electrochemical stability confirm the comparable electrocatalytic performance and better stability of NiCoO2/CNTs to the commercial Pt/C catalyst for ORR.

The population balance model is solved using the method of characteristics under the assumptions of a constant supersaturation and growth dominated process, yielding a simplified analytical expression for the size distribution.

Therefore, after coalescence the dominated process is statistically identical to the original SSA process.

In other words, it is difficult to construct a simple low-dimensional energy landscape for complex and entropically dominated processes such as protein conformational change without using a priori structural information.

□ Note that the dominated processes given by Eqs.