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And the carefully stacked, but somewhat fused forms of Mr. Price's "Mululu" (2004) and the smaller "Hefty" (2005) have the regularity of a pyramid's staircase.
But poverty coverage does not have the regularity or the inclusive tone of Times coverage on the opposite end of the affluence spectrum, like Paul Sullivan's business feature "Wealth Matters," which is described as a column about "strategies that the wealthy use to manage their money and their overall well-being".
We also have the regularity estimates for the solution ( ρ, u ) to FBVP (3.2) as follows.
In particular, if one assumes PD then all projective sets of reals have the regularity properties and if one assumes ADL then all of the sets of reals in L have the regularity properties.
ZFC can establish that all Σ̰11 sets of reals have the regularity properties and Δ̰11-determinacy (a theorem of ZFC) lies at the heart of this result.
Note that if we have the Regularity condition 3 (identifiability) with T=τ, then the identifiability condition (19) is also fulfilled.
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The Islamic tradition in the middle ages was in contact with the heritage of classical Rome, and the Court of the Lions has the regularity of a classical temple.
Similarly, having the regularity with which you type "sorry"or "just" or "don't mind little old me" gently pointed out to you is a helpful brushstroke in a larger canvas.
Then v has the regularity properties stated in Definition 5.1.
(2.54) We note that the regularity properties of (c x,t)) in (2.45) ensure that (varphi x,t)) has the regularity properties required in (2.6).
By the maximal regularity of linear evolution equations with positive definite operator in Hilbert spaces (see [19], Chapter II, Theorem 3.3), when u(0) = u0 ∈ H1 / 2, the mild solution of the LIVP (7) has the regularity u ∈ W 1, 2 ( J, H ) ∩ L 2 ( J, H 1 ) ∩ C ( J, H 1 / 2 ) (19). and it is a strong solution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com