Sentence examples for further the solution from inspiring English sources

Further, the solution was heated to 100 °C.

Further, the solution can be computed in a distributed fashion using convex optimization tools.

Further, the solution was heated to 250 °C for 30 min which resulted in black colored solution of FePt.

Further, the solution is appealing from a practical point of view because it can be implemented as a small modification of an existing LQG control design.

As for the latter, (3) still holds, further, the solution set of (Ax=b) and that of (3) is the same, that is, begin{aligned} bigl{ x|xin mathbf{R}^{n}, Ax=bbigr} =bigl{ x|xin mathbf{R}^{n}, A^{T}Ax=A^{T}bbigr}. end{aligned} It is should be noticed that (3) is always consistent.

Then we decompose further the solution (z x,t)) of (3.5) as (z x,t)=v x,t)+phi(x)), where (phi(x)) is the unique solution of (2.8) and (v x,t)) solves the following equation: textstylebegin{cases} v_{tt}-Delta v_{t}-Delta v+h z,z_{t} -h phi,0)=0 quadtext{in } Omega timesmathbb{R}^, v+h z,z_{t} -h phi,0 (v(x,0),v_{t}(x,0))=xi_{u}(0)- (phi(x),0 ).

Further, the solutions of (1.1) are attractive.

Now we take into account Lemma 2 that will be proved further the solutions (xi_{k}) of (6) corresponding to the parameters (t_{n_{k}}) converge to the solution (xi_{t^) strongly in (H(Omega)) as (ktoinfty).

Further the solutions were heated at 75°C for 45 minutes with 10 mL of 25% potassium iodide and 15 mL of 25% ascorbic acid solution to convert As (V) to As (III).

Finally, IP is called again to further refine the solution during the remaining time.

We also generate problem-specific cuts to further reduce the solution time for our formulation.