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In this case, apply the (1, 1 -transposition ρ (i, i +1 -transpositiond let π ′ denote the resulting permutation.
In this case, apply the signed the 2-reversal ρ (i, i +1) on π and let π ′ denote the resulting permutation.
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The principle in this case applies to a heated gas on top of a cold, dense cloud.
"The judge in this case, applying constitutional and legal standards to which all U.S. citizens are entitled, threw out important evidence," he said.
In this case, applying one (A.
In this case, applying Theorem 3, we have the following result for real row stochastic inverse eigenvalues problem.
In this case, applying Theorem 3.4, we get that T has a fixed point, which due to Lemma 4.1 implies that F has a coupled fixed point.
In this case, applying Theorem 1.1, we get that T has a fixed point, which implies from Lemma 2.1 that F has a coupled fixed point.
EDIT: In this case, applying Occam's Razor would've helped – Apple's intent is to prevent multiple people from re-downloading the same apps to different phones using 1 iTunes account.
In this paper, we propose a virtual reality (VR) platform as a case study of machine learning, in this case applied to the goal representation heuristic dynamic programming (GrHDP) approach.
In this case, applying the sufficient condition derived in [37] to model (19) gives the following uniqueness condition: PF M r ( P − 1 ) ( F M r − 1 ) ≥ 2 R ( R − 1 ).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com