Sentence examples for corresponding mild from inspiring English sources

Suppose that (phi_{i}inmathcal{B}_{v}) ((i=1,2)) are arbitrary functions and that (y_{1}), (y_{2}) are the corresponding mild solutions of the problem (1.1 - 1.2 1.1 - 1.2

In view of Theorem 3.1, for each (uin U_{ad}), and (yin C [0,c],X)) is the corresponding mild solution of system (1.1), one has biglVert y(t bigrVert leq Vert y_{0}Vert +N+MVert eta Vert _{L^{1}([0,c])}+M int_{0}^{t} eta (tau biglVert y tau bigrVert,mathrm{d}tau +MM_{B}tilde{M}c.

It turns out that the sequence ({v_{n}}) defined by the IMR v_{n+1}=alpha_{n} f v_{n})+ 1- alpha_{n}) T biggl(frac{v_{n}+v_{n+1}}{2} biggr) (4.9) with ({alpha_{n}}) satisfying the conditions (C1 - C3) of Theorem 3.1, converges weakly to a fixed point v of T, and then the corresponding mild solution u of (4.7) with initial value (u(0)=xi) is a periodic solution of (4.7).

As a matter of fact, if v and (v_{1}) are two elements of B, (u(t)) and (u_{1}(t)) are the corresponding mild solutions, we have begin{aligned} frac{1}{2}{dt}bigl{t}bigl| bigl| u(t -u_{1}(t -u_{r| ^{2}bigr} =&-operatorname{Re}bigllangle A(t) bigl(u(t)-u_{1}(t)bigr), u(t)-u_{1}(t)bigrrangle &+operatorname{Re}bigllangle fbigl(t,u(t)bigr)-fbigl(t,u_{1}(t) bigr), u(t)-u_{1}(t)bigrrangle le&0.

The results indicate a condition corresponding to mild iron overload.

Two configurations, corresponding to mild and strong incoming turbulence levels, are investigated highlighting the role played by the spanwise domain size.

Our solitary case with MBI demonstrated low-level nonmass uptake corresponding to mild nonmass enhancement identified on the comparison MRI (Fig. 7).

There are two compartments for exposed, infectious and recovery states corresponding to mild and severe disease.