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We implemented three steady-state models of leaf water δ18O and δ2H: one modeling the sites of evaporative enrichment inside leaves (based on the formulations of Craig & Gordon [22]; see http://isoscapes.org for detailed GIS and modeling descriptions) and two models of "bulk" leaf water δ18O and δ2H that take into account isotopic heterogeneity within leaves.
As usual, investors will receive only a few cents for every dollar they lost, based on the formulations and negotiations of their lawyers.
Practical implications are investigated based on the formulations and experimental results.
Here, we employ the frequency-dependent Q −1 model for P and S waves based on the formulations for FDM simulations of Robertsson et al. (1994).
Computer programs have been developed based on the formulations presented in this paper for evaluating condition of existing bridges and the details are presented in the paper.
Long-crested waves are assumed, and the approach is based on the formulations of Naito and Nakamura [2] and Falnes [22].
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The approach is based on the formulation of mathematical models that are formulated to accommodate multiple production profiles.
Based on the formulation, a mathematical programming-based heuristic was also developed that uses product families to decompose the problem into a sequence of sub-problems.
"There's nothing magic in ours, it's all based on the formulation of the protein and the fiber to satisfy your appetite for a relatively low amount of calories," Mr. Turner said.
Based on the formulation, the values for positive and negative directions are defined independently (Fig. 9a).
The height of the tree, h t, was varied based on the formulation of Equation (4).
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