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In order to reproduce this material behavior, the elastic energy is formulated separately for each crystallographic phase and variant in the model described in this work.
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Four different coal tar free formulations were formulated separately by using these approaches.
Also individual unit and aggregate models are formulated separately to develop the idea of selective measures.
The models for process engineering and biological processes are formulated separately and implemented in a suitable program structure.
Based on this, the congested and normal flow regimes were identified and the relationship between the speeds of 3W and HMV with HSV were formulated separately for each of the flow regimes.
The essential boundary conditions are formulated separately from the discrete system equations by the aid of Lagrange multiplier method, while an orthogonal transformation technique is also applied to impose the essential boundary conditions in the discrete eigen-value equation.
Priorities and targets need to be formulated separately for each Zone.
An allocation schedule is formulated in which the conditions (separately for each age group) will equally be divided across the centers and cohorts to ensure the number of groups is about the same within each condition.
To explain the relationship between ambulatory and hospital case numbers, the following system of equations is formulated and estimated for each speciality separately: begin{array}{*{20}l} HC_{ij}=alpha_{1}X_{i}+beta_{1}+gamma_{+gamma_{1}AC_{ij}+delta_{1}GPC_{i}+varepsilon_{1ij} end{array} (1).
A party line is formulated and chosen.
Next, the proposed DPC method is formulated.
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