Sentence examples for been studied to approximate from inspiring English sources

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The two approaches have been studied to approximate Riemann Liouville (R L) fractional derivative by Chen et al. and Zayernouri et al. respectively in their most recent work.

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Small molecular fragments (N-phenylphthalimide, 2,2-diphenylpropane, and diphenylether) of the repeat unit were studied to get approximate bounds to be expected for values of the solubility parameter for the polymer.

The D2 z−score (D2 z) was proposed to obtain a standardized D2 score for which the significance can be estimated (Kantorovitz et al., 2007): The expected value for D2 has been studied for approximate word matches, and upper and lower bounds for the variance have been calculated (Burden et al., 2008).

The Krasnoselskii-Mann iterative algorithm has been studied for approximating fixed points of nonexpansive mappings and their extensions.

The Krasnoselskii-Mann iterative algorithm (one-step iterative algorithm) and the Ishikawa iterative algorithms (two-step iterative algorithm) have been studied for approximating fixed points of nonexpansive mappings and their extensions.

The class of inverse-strongly monotone mappings has been studied by many researchers to approximating a common fixed point; see [24 29] for more details.

The stability properties of the estimation error for both the optimal filter and the approximate one have been studied and conditions to select the design parameters are proposed.

Asymptotically nonexpansive self-mappings using Ishikawa iterative and the Mann iterative processes have been studied extensively by various authors to approximate fixed points of asymptotically nonexpansive mappings (see [2, 12]).

It seems to us, following the same way the existence can be studied of approximate solutions to BVP (1.1 - 1.2 1.1 - 1.2 the distribution g is in (oprovidedame{BV}(Omega)cap L^{2}(Omega)).

end{aligned} This problem for (alpha=1) has been studied in [24], where the obtained approximate cost function is (I=2.7930).

The absorption troughs of these QSOs are studied using approximate profiles of optical depth versus velocity.

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