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Furthermore, there is an important relation for the second order operator, which will play an irreplaceable role in the analysis of the stability and convergence for our scheme.
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A simple and important relation (for our approach and other related strategies) has been identified in modern out-of-equilibrium thermodynamics [15], which involves free energy and entropy: Delta G = -T{d}_{mathrm{i}}S (1)since d totalS = d i S + d e S, where d i S and d e S are the entropy variation of the internal system and the external system (surroundings), respectively.
Friendship is the basic role for entrance to the world outside the family, and it is one of the most important relations for role-bearing persons, as the early Confucians emphasize; indeed, the opening section of the Analects asks: "To have friends come from afar; is this not pleasant?" (1.1) When young we have first playmates, then schoolmates.
Extending the current approach to other model organisms such as mouse, and rat could be helpful in revealing important relations for translational research.
Extending the current approach to other model organisms such as mouse, and rat can help in revealing important relations for translational research.
In the following lemma, we prove an important asymptotic relation for the Green's function.
Based on the important relations discussed before, for the existence of a fixed point of the Poincaré map ({mathcal{P}} y_{i}^)) of model (2.2) and consequently the existence of the order-1 limit cycle we have the following main results.
Economists say the proposed Fiat deal could set an important precedent for labor relations nationwide, moving Italy into line with more productive European countries like Germany.
This expansion converges with increasing p if max a ∈ A { | x b − x a − r | } < | r | with r ≡ s B − z A. Other important relations are those for the multipoles M n m with respect to another expansion centre M n m ( z ′ ) = ∑ k = 0 n ∑ l = − k k ϒ k l ( z − z ′ ) M n − k m − l ( z ), (3d).
(2015) show that it is an important factor for the mean variance relation and should be included in portfolio optimization.
The mathematical concept of a relations plays an important role for representing and querying highly structured and inter-related data as typically provided by BIM models.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com