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Property (X) was given by Shirshov [204] and Chen et al. [72].

In the early '90s, just as Britain's style wars were abating − thanks to rave culture and the onset of sportswear as a youth cult staple − the phrase Generation X was given a new lease of life.

The relationship between lattice constant (a) and indium mole fraction (x) was given by the empirical equation [25]: α = 6.05843 − 0.405 1 − x Open image in new window (3).

Therefore, in the real-data calculations, n i x was given by n i x + b x N, and n i, j x, y was given by n i, j x, y + b i, j x, y N. The limited number of data reduced the statistical reliability of the calculated propensities.

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Let (uin X) be given.

Let u ∈ X be given.

Let x, y ∈ X be given.

Indeed, let (fin X) be given.

where P x is given by (2.1).

f 1, f 2 : X → X are given maps.

Let (f: mathbb{R} times X to X) be given.

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