This result is also new for q\ne 2. 2.3 The wave equation with effective damping When A=(-\Delta )^{\frac{\theta }{2}}, with \theta \in (0,1), a “double diffusion phenomenon” holds, in the sense that the solution to (25) may be written as the sum of two terms, whose ...
Modus Ponens (MP): P. P IMPLIES Q. Therefore, Q. Modus Tollens (MT): P IMPLIES Q. NOT(Q). Therefore, NOT(P). Double Negation (DN): NOT(NOT(P)). Therefore, P. Disjunctive Syllogism (MTP): P OR Q. NOT(P). Therefore, Q. Addition (ADD) :P. Therefore, P OR Q. Simplificati...
Exchangeability implies that if two plots with identical soil quality, weather history, and other relevant factors were randomly assigned the fertilizer (treatment) or not (control), their yields wouldn't be any different on average due to the treatment itself. This allows us to compare the ...
Euclidean distance to the random sampling point (qprand); if the random probability rand is greater than pnearest = 0.5, formula (1) is used to calculate the cost function C (q), and the point with the smallest cost function C (q) in the tree is selected as the nearest neighbour...
Interestingly, winged bean is most closely related to Glycine rather than other legume species and is deduced to have diverged approximately 14–16 Mya, before Glycine doubled its chromosome number (Fig. 2a). The estimated synonymous substitution rate (Ks) distribution of the winged bean para...
Hypothesis (H3) implies that, for all ε>0, there exists δε>0 such that for all |t|>δε and all x∈Ω we have |f(x,t)|≤ε|t|p(x)−1. For the moment, we arbitrarily fix ε>0. Then the continuity of f in its second argument indicates that for all t∈R and all x...
From Julian BR, Miller AD, and Foulger GR (1998) Non-double-couple earthquakes 1. Theory. Reviews of Geophysics 36: 525–549. View chapterExplore book Dispersive πK→πK andππ→KK̄ amplitudes from scattering data, threshold parameters, and thelightest strange resonance κ orK⁎ 0 (...
We next generated TFG-TRAF3 double knock- down THP-1 macrophages and detected whether TRAF3 partici- pates in TFG-associated ULK1 ubiquitination regulation. Knockdown of TRAF3 disturbed ULK1 ubiquitination in TFG- deficient THP-1 cells (Fig. 3B, lane 5 vs. lane 3), which indicated that TRAF...
The application of these DPDFs to the calculation of double-meson production is still unavailable. Accordingly, the pocket formula is recovered in case the lon- gitudinal component Dhi j (x1, x2, Q1, Q2) of the DPDFs2 is reduced to a product of two independent single parton distri- ...
{\prime }, which are conjugated to the corresponding transverse momenta. With the parton transverse degrees of freedom being included, the abovek_Tfactorization formula holds for higher-twist contributions due to the absence of endpoint singularities. At the same time, the large double logarithms\...