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As an application, we first obtain a result parallel to Theorem A for the operator (mathcal{M}_{Omega,alpha}) and (mathcal{I}_{Omega,alpha}).
We study the boundedness of solutions of convolution cases and we get a result parallel to the corresponding result of Lipovan [18] for integral equation.
In 1994, Nakai [11] obtained the boundedness of (mathcal{M}) on Morrey spaces, later Guliyev [6] studied the operator (mathcal{M}) on modified Morrey spaces and get a result parallel to Nakai's result.
The IMPACT trial, in which over 300 ER+ patients were treated with tamoxifen or anastrozole or the combination, revealed that change in the proliferation marker Ki67 was greater with anastrozole than with either of the other arms, a result parallel to the drug's greater effectiveness in the far larger and longer ATAC adjuvant trial.
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First we present the following result parallel to Lemma 3.1.
Based on the data shown in figure 2, blood-feeding in A. aegypti triggers signaling responses, leading to an activation of both Mfn and OPA1, and resulting in mitochondrial fusion, an event parallel to a reduction in H2O2 production (Figure 3, Table 3).
As a result, parallel operation can be used to expedite the search and to avoid the requirement of another nested loop.
As a result, parallel channel heat exchangers typically operate in the single phase regime to avoid such "maldistribution instability".
As a result, parallel manipulators gradually gain wide application.
As a result, parallel data from the source and target speakers is not required.
In this work, we first pursue results parallel to Theorems A and B, then extend Theorem C to a vector-valued version.
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