Sentence examples for both the initial condition from inspiring English sources
All images in Figure 4 show a cut view of the volume along the x-axis in order to better visualize both the initial condition and the diffusion of the antigens.
Furthermore, according to the analysis presented in Appendices A C, u depends continuously on both the initial condition (mathbf{u}_{0}) and the steepness parameter β, when (0 < beta< infty).
In our case, the Gaussian prior constrains both the initial condition as well as both scaling factors (see Fig. 2).
However, it is clear from our results that both the details of the transient changes and the final adsorbed amount depend on both the initial conditions and the actual concentration in the bulk solution when we perform the adsorption measurement.
This depends on both the initial conditions (i.e., the initial state and parameter values) and the chain of generated stochastic numbers.
Oscillatory behavior occurs when the shape depends on both time and the initial condition, though its growth is bounded.
Universal behavior occurs when the shape of the evolving crystal tends to a shape that is independent of both time and the initial condition.
In such a scenario, the optimal solution may produce simultaneous spiking of both neurons depending on the initial condition.
The presence of both delays and the maximum function in the equation leads to a new statement of the problem, which involves both the boundary condition and the initial condition.
(5.2) Using the inverse Elzaki transform and the initial condition on both sides of equation (5.2), we get u r,t)=E^{-1} bigl[s^{2} bigl 1-r^{2} bigl 1-r^{2+E^{-1} bigrl[s^{alpha}E bigrl[P+u_{rr}+ frac{1}{r}u_{r} biggr] biggr].
