Sentence examples for be two different solutions from inspiring English sources

Formally, let x and x ′ be two different solutions.

Let u and v be two different solutions of the space-time fractional Burgers' equation (21).

Observe that the unique solvability of this inequality follows from the monotonicity of A and the strict monotonicity of U s. Indeed, let x1 and x2 be two different solutions of (14).

Let (q'=2ln F) and (q=2ln G) be two different solutions of equation (3.6), we have the two-field condition begin{aligned} Ebigl(q'bigr -E q) =&bigl(q'bigr -E q{3xy}+3bigl(q_{xx}'q_{xy}'-q_{xx}q_{xy} bigr)+3varphi (y) bigl(q'-qbigr)_{2x} &-2bigl(q'-qbigr)_{yt}+3bigl(q'-q bigr)_{yz}.

Further examined are two different solutions of GPS, VLBI and NCEP: for GPS, a network solution comparable to the TIGA reprocessing analysis strategy and a precise point positioning solution, for VLBI, a least squares and a Kalman filtered and smoothed solution, and for NCEP two spatial resolutions, 0.5° and 1.0°, are tested.

These two licenses are two different solutions to exactly the same problem.

It's just that anti-poverty policy and pro-family policy are two different solutions addressing two different problems.

are two different solutions of (1.5) and (2.4), then are the two different solutions of (1.5) and (1.6).

Assume that ((rho,u)) and ((bar{rho},bar{u})) are two different solutions with the identical initial data.

At this point, there are two different solutions: Develop different decision trees for each QP and use the corresponding tree for each case.

Suppose that there are two different solutions (u_{0}) and (upsilon_{0}) of the system (14) corresponding to the same (lambda_{0}), which is not an eigenvalue.