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Our molecular phylogeny did not support the traditional classification of Mascarene stick insects, which predicted that the respective fauna consists of five unrelated lineages, and, consequently, implied the occurrence of multiple colonisation events leading to the present-day phasmatodean community in the archipelago [ 22].
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The aim of our paper is to give several characterizations of the Malliavin covariance matrix which are equivalent to Hörmander's condition (and consequently imply the hypoellipticity).
which consequently implies that (2.19).
which consequently implies the validity of condition (ii) in Theorem 3.1.
In this section, we will prove the following stability theorem, which consequently implies the uniqueness of strong solutions.
This situation occurs more often for large values of λ: a greater value of λ consequently implies less robustness of our method.
Although the true kurtosis value of the atrial component is unknown, a large value of kurtosis is associated with remaining QRST complexes and consequently implies a poor extraction.
Given this, one can assume that the NaV1.8 positive fibers are sensory neurons with a potential nociceptive function, consequently implying that the muscle nerve fibers that co-express the 5-HT3A receptors and NaV1.8 sodium channels are most probably nociceptors.
This research thus provides evidence of government ownership diversity and consequently implies different predictions for the innovation performance and R&D behavior of state owners from the past literature.
Then x p q − x 0 ∈ W. Now observe that if for ( k, l ) ∈ I r s, x k l − x 0 ∈ W, then x k l − x p q = x k l − x 0 + x 0 − x p q ∈ W + W ⊂ V ⊂ U. Hence, as in the earlier proofs, we can prove that K ⊂ { ( r, s ) ∈ N × N : 1 h r s | { ( k, l ) ∈ I r s : x k l − x p q ∉ W } | < δ }, which consequently implies that ( x k l ) is I θ r, s -statistically τ-Cauchy.
This would consequently imply that one would primarily detect regulated genes of non-neuronal origin under ischemic conditions.
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