Sentence examples for been achieved by some from inspiring English sources

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Moreover, many valuable results related to boundary value problems (BVPs) or initial problems for fractional differential equations have been achieved by some scholars (see [5 11]).

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The movie's unconscionable length is achieved by some extravagant car chases and a steady stream of gruesome violence, wearying profanity and narrative idiocy.

If monetary policy wants to offset fully, that can be achieved by some combination of conventional tools (like cutting policy-controlled interest rates) and quantitative easing.

Significant gains can also be achieved by some level of local coordination, for example, neighboring base stations might jointly choose beamforming directions in order to achieve interference alignment.

Using repeated games, the authors prove that each point on the capacity region of a fading MAC is achieved by some power control policy.

then Λ > 0, which is achieved by some φ Λ ∈ V with φ Λ ( x ) > 0 a.e. in Ω; see Lemma 1.

In weighing up the options, the good to be achieved by some tough course of action must be multiplied by the probability of achieving it, which is always a fraction of one, and often a rather small fraction at that.

for all u, v ∈ E. μ ∗ > 0, and this is achieved by some ϕ 1 ∈ H 2 ( R N ) with ∫ R N q ϕ 1 2 d x = 1, where μ ∗ is given in (2).

Lemma 3.8 c λ = inf N λ Φ λ ( v ) is achieved by some v > 0. Proof By the definition of c λ and the Ekeland variational principle, there exists a (PS) c sequence { v n }, by Lemma 3.4, we know that { v n } is bounded.

Pruning of the correlating variables, often referred to as feature selection, can be achieved by some statistical tools to select input variables that are used in the regression analysis to develop the empirical correlations or by common feature selection techniques such as neighbourhood component analysis (NCA), sequential feature selection and LASSO.

Then we work on the Nehari manifold (mathcal{N}_{k}^), and construct a (u^_{k}in mathcal{N}^_{k}) such that c^_{k}:=inf_{mathcal{N}^_{k}}J is achieved by some (u^_{k}), which gives the desired solutions in Theorem 1.3.

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