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"As soon as Dr. Bundle and I analyzed those data from a year and a half ago," Weyand said, "we immediately concluded that there was a clear and major advantage".
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We immediately conclude the following corollaries.
Applying Theorem 3.1, we immediately conclude that (S_{alpha,lambda}= B^{alpha-lambda+1}). □.
Putting A = B = 0, we immediately conclude from Lemmas 4.1 and 4.2 the desired conclusion.
Since ∑ n = 1 ∞ ∥ e n ∥ < ∞, we immediately conclude that the sequence { x n } is bounded.
By using Theorem 3.2, we immediately conclude that the solution is global.
Differentiating b2 f 2 + 9(f')2 = α, we immediately conclude that (3.3) holds in this case as well.
end{aligned} Thus, utilizing Lemma 2.8, we immediately conclude that lim_{ntoinfty}frac{|x_{n+1}-x_{n}|}{alpha_{n}}=0.
Combining the estimates (I^{prime}), (mathit{II}^{prime}), (mathit{III}^{prime}) and (mathit{IV}^{prime}) with (4.3), we immediately conclude (4.1).
Noting now that the Caputo fractional derivative of a constant is always zero, we immediately conclude that (k_{i}) ((i =1,2,ldots, n )) converges to a finite constant.
end{aligned} (5.23 By the compactness Theorem 2.3 it follows that, up to a subsequence, ( E_j rightarrow E_{infty }) in measure and by the lower semicontinuity of the perimeter we immediately conclude that ( E_{infty }) is a ball of radius one.
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