Sentence examples for concerning the constants from inspiring English sources

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Concerning the constants 1 and 1 e which appear in conditions ( C 1 ), ( C 2 ) and ( N 1 ), in 2011, Berezansky and Braverman [6] established the following theorem.

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As far as I'm concerned, the constant changes in task and subject matter are among the most attractive features of this job.

The Solow (neo-classical) growth model concerns the constant returns to scale production function, assuming decreasing returns to capital and exogenously given technology.

Detailed kinetic mechanisms validated under atmospheric or low-pressure flame conditions cannot generally be directly extrapolated toward high pressure, due to the lack of experimental data or to uncertainties concerning the rate constants of elementary reactions.

However, since then many variants have been suggested and the user now have to make many choices, for example, concerning the dielectric constant, parameters for the non-polar energy, the radii used for the PB or GB calculations, whether to include the entropy term and whether to perform MD simulations or minimizations.

In this paper, we show some sufficient conditions on a Banach space concerning the generalized James constant, the generalized Jordan-von Neumann constant, the generalized Zbăganu constant, the coefficient, the weakly convergent sequence coefficient, and the coefficient of weak orthogonality, which imply the existence of fixed points for multivalued nonexpansive mappings.

We show some sufficient conditions on a Banach space concerning the generalized James constant, the generalized Jordan-von Neumann constant, the generalized Zbagănu constant, the coefficient, the weakly convergent sequence coefficient WCS, and the coefficient of weak orthogonality, which imply the existence of fixed points for multivalued nonexpansive mappings.

(iv) The concept of residually ( r, h ) -integrable concerning the array of constants { a n i } is strictly weaker than the concept of h-integrable concerning the array of constants { a n i } and h-integrable with exponent r.  .

At the same time, Yuan and Tao [15] introduced R-h-integrability concerning the array of constants { a n k } as follows.

Therefore, the concept of residually ( r, h ) -integrable concerning the array of constants { a n i } is weaker than the concept of all Definitions 1.1-1.7 1.1-1.7and to residualeadsàro ( α, p ) -intogresidual as a speCesàroase.

Remark 3.2 If A n k ≡ a n k are constants, and B n = for all n ≥ 1, then the preceding definition reduces to the following new concept of strongly residual h-integrability concerning the array of constants { a n k } with exponent r.

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