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Similarly, we verify that R Φ ( G, G, G ) = G with Φ ( x ) = x 2, and an analogous remark as the previous one holds.
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Analogous remarks apply to 'I conjecture that' and the like.
Analogous to Remarks 2.3 and 2.5, we obtain multidimensional version of inequality (1.3) for as follows: (2.125).
Remarks analogous to those mentioned in this paragraph hold, in fact, for all similitude IFSs.
We can replace the equality from the condition (5.1) by a weaker condition in the analogous way as in Remark 4.5 from the previous chapter.
We can replace the equality from the condition (3.1) by a weaker condition in the analogous way as in Remark 2.3 from the previous section.
Remark 3.4 Analogous result could be obtained for the system x ′ ( t ) = X ( t, x, ∫ t + ∞ K ( t, s ) g ( s, x ( s ) ) d s ), in Section 5.
By inserting her authorial voice in the tale's epilogue, Potter reveals her uncertainty about the believability of her fantasy, and her uncertainty mars the narrative line which, Kutzer remarks, is analogous to a "comedy sketch that should have stayed at joke length, but is unwisely stretched into ten minutes of tepid comedy".
Remark 3.2 An analogous result to Theorem 3.1 was investigated in [[20], Theorem 4.1], where the method was to use Kartsatos-Skrypnik degree theory for quasibounded densely defined ( S ˜ + ) -perturbations of maximal monotone operators, developed in [13]; see also [[9], Theorem 5].
Remark 3.2 In an analogous way to Theorem 3.1, we can observe the eigenvalue problem 0 ∈ T x + λ C x for quasibounded perturbations of maximal monotone operators; see [10].
We remark that the results are essentially analogous for activity based models.
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