"It was a solemn responsibility to allocate these finite contributions across tremendous pain and suffering".
Application of these models to data exemplifies the finite contributions of positive feedback in cell cell interactions to the overall tissue growth.
Here, the first part is exactly as above and the second term is actually the sum of two terms; one of them (c_d lambda ^{d/2}int sqrt{g} 1- phi (x')),dx) is the contribution of the "finite part of the domain" (without the cusp) and the second (c_d lambda ^{d/2}int (sqrt{gphantom {g^0}}-sqrt{g^0} phi (x'),dx) is a contribution of the cusp in the correction.
When the fracture conductivities are finite, the contribution of outer fractures near the endpoints of the horizontal wells to the total productivity decreases, and the contribution of middle fractures within each stage increases significantly, but the overall distribution characteristics are in accord with the former case.
It addition to this effect, the dissipation function has a finite size contribution below a critical size, and this becomes more important as the system size is reduced and the length of the molecule increases.
As a result, the finite extensibility contribution to the stress of a slip-link-free network model becomes improbably high and significantly exceeds that following, at a given modulus and locking stretch, from the rigorously derived Langevin-statistics-based eight-chain-network elasticity theory of Arruda and Boyce.
The finite size contribution is always inversely proportional to the width of the NWs, while the broadening due to tilt distribution increases linearly with Q.
Here, we perform an extensive series of density functional theory (DFT) calculations of the γ′ Co3(Al,W) phase stability, including point defect energetics and finite-temperature contributions.
Surprisingly, this is due to the relatively small finite-temperature contributions of one of the γ′ decomposition products, B2 CoAl, effectively destabilizing the Co, CoAl and Co3W three-phase mixture, thus stabilizing the γ′ phase.
