Sentence examples for reduced to construct from inspiring English sources

So that, our problem is reduced to construct one completely continuous operator in which sends into, such that the fixed points of operator in some open-bounded set are the even antiperiodic solutions of (1.5).

Hence, our problem is reduced to construct one completely continuous operator in which sends into, such that the fixed points of operator in some open-bounded set are the odd antiperiodic solutions of (1.5).

So, our problem is reduced to construct one completely continuous operator F λ, which sends C 0 2 m + 1, π into C 0 2 m + 1, π, such that the fixed points of operator F 1 in some open bounded set are the even anti-periodic solutions of (1.3).

So, our problem is reduced to construct one completely continuous operator Q λ, which sends C 0 0, π into C 0 0, π, such that the fixed points of operator Q 1 in some open bounded set are the even anti-periodic solutions of (1.5).

Our problem is reduced to construct one completely continuous operator W λ, which sends C 1 0, π into C 1 0, π, such that the fixed points of operator W 1 in some open bounded set are the odd anti-periodic solutions of (1.5).

Our problem is reduced to construct one completely continuous operator G λ, which sends C 1 2 m + 1, π into C 1 2 m + 1, π, such that the fixed points of operator G 1 in some open bounded set are the odd anti-periodic solutions of (1.3).

This can be reduced to constructing solutions in the whole space (by extending γ = 1 outside a large ball containing Ω ) for the Schrödinger equation with potential.

In the digital age, everything must at some point be reduced to this basic construct of choice: One or zero.

Detached from their volume and framed as "Persian miniatures," book paintings are reduced to an arbitrary construct suiting the desire of collectors unaware of the nature of the art.

As approaches will be asymptotically reduced to the set constructed in a noiseless case.

Thus, the problem of designing an efficient algorithm for the solution of the resulting algebraic system is reduced to one of constructing an efficient algorithm for a system whose matrix is a graph-Laplacian (or weighted graph-Laplacian).