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This behavior is in complete agreement with the formalism presented in the Appendix, notably Equation 13: the variations of the (small) term V r / τ a should be essentially uncorrelated to K m so that a high (but slightly "noisy") linear correlation between K m and K s with a slope near one is predicted.
(12) Substituting Equation (10) and applying experimental gas-phase energetic data under typical reaction conditions (H2 75 bar, N2 25 bar, NH3 1 bar, 673 K), we can rewrite Equation (12) into Equation (13), where is the dissociative adsorption energy of N2. (13) Correcting the small term as well as the zero-point energy (ZPE), 21 we have Equation (14).
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In (27), we ignore the (small) terms containing ||Δ x t ||2 in the square root.
While all methods using weights can implement this scheme, SaddleSum is particularly suitable for it because it handles well the small terms and skewed distributions, where changing the sign for a single weight can have a considerable effect.
This is illustrated in the top panel of Figure 2A, where T-profiler selects as highly significant the small terms (with 5, 6 and 9 entities), which are deemed insignificant by all other methods.
We now estimate the smaller term (P_{nu+1}) and we will finish one cycle of the iteration.
Only by focusing on the smallest terms of individual experience might we begin, by implication, to get a sense of the benumbing scale of the destruction visited on a continent and a race.
Final lists were ranked by "enrichment" score (Table S3, Table S4, and Table S5) and filtered to include only the smallest terms of any branch ranked at the eighth level, or below, of the GO hierarchy (see Figure S3).
In fact, the term (O tau^{(1+alpha)/2})) comes from the error estimate of the accumulation for adding small term at a given time level.
The best experimental determination of μe involves measuring not the quantity itself but the small correction term μe − μB.
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