Sentence examples for and satisfies the problem from inspiring English sources

The optimal solution is found by applying a very simple selection method and satisfies the problem constraints.

By the positive solution of (1.2 - 1.3 1.2 - 1.3that a function is positive on and satisfies the problem (1.2)-(1.3).

We then justify that vinmathcal{C}^{0}bigl([0,+infty[;mathbf {H}^{1}(boldsymbol {Omega}) bigr capmathcal {C}^{1} bigl([0,+infty[;bigl[mathbf {H}^{1}( boldsymbol {Omega} bigr]' bigr), and this satisfies the problem (13).

The LP solver uses a brute-force search algorithm to find the optimal gateway deployment locations by numerating all possible candidate solutions and checking whether each satisfies the problem's statement.

Using the mean-value theorem, from (3.2) and (3.19), we conclude that satisfies the problem (3.23).

Before solutions can be programmed, it is important to make sure that it properly satisfies the problem, and that it does so efficiently.

The difference satisfies the problem (4.24).

Specifically, suppose u(t) takes values in a C∞ manifold and satisfies the initial value problem u′(t) = A t)(u(t)), u(0) = a, where A t) is a vector field on the manifold depending continuously on t.

The function x has the Caputo derivative of order α on ((s_{i},t_{i+1}],m=0,1,ldots,m), and satisfies the following linear problems: textstylebegin{cases} ^{c}D_{0,t}^{alpha}x t)=h(t quadtextit{a.e.e

end{cases} (5) Then we have the following results: (i) The function x has the Caputo derivative of order α on ((s_{i},t_{i+1}],m=0,1,ldots,m), and satisfies the following linear problems: textstylebegin{cases} ^{c}D_{0,t}^{alpha}x t)=h(t quadtextit{a.e.e

Assume that is a jointly continuous function and satisfies the assumption Then the boundary value problem (1.1) has a unique solution provided, where is given in the assumption.