Sentence examples for solution of case from inspiring English sources

The reference solution of case A is shown as a solid black line and the rescaled solution of case F is overplotted as red squares.

Solution of case (2) is characterized by Td, Pe2, and Pe1 = υL1/D.

where is the implicit function which satisfies (3.6). Figure 3 The rarefaction wave solution of Case 3. Case 4. If and.

However, less study has been carried out about how collectivism and collective group potency affect individual learning decisions, especially using the technique of Hierarchical Linear Modeling (HLM) for cross-level analysis, which provides the solution of case dependency between group members.

Hence, as the order decision under case B II) includes the solution of case B(I), the overall order decision under the WHP contract is formulated below X^{text{WHP}} = left{ {begin{array}{ll} {X_{text{B II)}}^{text{WHP}} } hfill & {{text{for }}p > w} hfill 0 hfill & {text{else}} hfill end{array} } right.

To give an example, Figure 2 shows the rescaled simulation results of case F compared to the reference solution of case A. This test demonstrates the shock-capturing ability of the MHD code and enables us to conclude that the calculation of the covariant fluxes has been implemented correctly.

Note that the solutions of case 2 may break the SE constraint.

By this design, we can identify exactly the causes of changes in the dynamo state x: the differences between the solutions of case I and case II are due to assimilation of the observed field ({b_{l}^{m(o)}}) and the differences between the solutions of case II and case III are due to the assimilation of the observed SV ({dot b}_{l}^{m(o)}).

This solution is shown in Figures 3 and 4. Figure 3 Exact solution of Example 3.6, Case 1 ( n = 2 ) ( i = 1 ). Figure 4 Exact solution of Example 3.6, Case 1 ( n = 2 ) ( i = 2 ).

This solution is shown in Figure 1. Figure 1 Exact solution of Example 3.5, Case 1 ( n = 1 ).

For this case, Figs. 5 and 6 demonstrate optimal solution of the case for the first scenario, and Fig. 7 demonstrates optimal solution for the second scenario.