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(1) The property (vartheta ^f_{{mathbf g}, u, w} 0, f_0) = f_0) results immediately from Definition 26 of (vartheta ^f_{{mathbf g}, u, w}).
A few that result immediately from the present discussion are as follows: Can a dynamo be generated in the stable iron snow zone or only in the fluid core below?
For any k ≥ 2, denote R + = [ 0, + ∞ ) and define Γ ˜ k D ( a, b ) : = W ˜ k D ( a, b ) ∩ ( R + × R + ). By equations (3.9) and (3.13), we know that Γ ˜ k D ( a, b ) is asymmetric to Γ k D ( b, a ) about the diagonal μ = λ. Namely, ∈ Γ ˜ k D ( a, b ) ⟺ ∈ Γ k D ( b, a ). Then we get can the following results immediately from Property 3.4.
Although improved contractile function during shPLB therapy results immediately from its influence on excitation contraction coupling via the cytoplasmic Ca2+ transients, the marked reduction of LV hypertrophy and dilation is not deduced as easily, because it involves major reprogramming of the cardiac transcriptome.
This process results almost immediately from doing resistance exercise, and the effect can last for days.
If (u(t)) is bounded on ([tau,beta)) for some (tau >0), then (beta =+infty ). The result follows immediately from the results of Section 4. □. Suppose that conditions ((H_{1}))-((H_{3})) hold. Then (1) has a solution in (C [0,+infty))). The existence of a local solution (u(t)) of (1) is ensured thanks to Theorem 3.2.
The result immediately follows from Theorem 4.2.
Then the following result immediately follows from Theorem 4.1.
These results immediately follow from [8], Lemma 4 and Remark, and (1.1).
The next result immediately follows from Theorem 1, if we let p → ∞ (so that q → 1).
