Sentence examples for established by introducing from inspiring English sources

Exact(35)

It is shown that an extension of the Hilbert's integral inequality can be established by introducing two parameters and.

It is shown that a weighted Hilbert inequality for double series can be established by introducing a proper weight function.

The uniform discrete state-space model is established by introducing state augmentation for both short and long time-delay.

The scheme is established by introducing the auxiliary variable and applying the (L2-1_{sigma}) formula to approximate the time Caputo fractional derivative.

An alternative condition can be established by introducing the function f ( t ) = t 1 + ω t 1 / α ̂ − 1 α, (21).

First, a new integral inequality, which is less conservative than other existing ones, is established by introducing some free fuzzy weighting matrices.

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Similar(25)

Thus motivated, we first establish, by introducing a "contribution weight" for each user, the equivalence between (2) and the minimum weighted utility maximization problem.

Maxtor was taking market share from more established rivals by introducing cutting-edge products faster.

A symplectic system is established directly by introducing dual vectors in terms of the symplectic eigenfunctions.

The company has been taking market share from more established rivals by introducing cutting-edge products faster.

The Hungry I established its significance by introducing not just talent but topics, especially politics, in the acts of politically engaged comics like Mr. Sahl.

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