Based on this genus-level PWD estimate, environmental barcodes were grouped in the cluster analysis shown in Fig. 3, except for the highlighted grouping containing Karlodinium, Karenia and an unnamed Antarctic dinoflagellate (RS24) belonging to the Kareniaceae family [79], [80] which is an exceptional case discussed below.
Based on the genus property and the definition of (c_{n}^), we have, for (rinmathbb{N}), sigmale c_{k+ s}^ < + infty,quad r ge s ge1.
Under certain assumptions on V ( x ) and f ( x, u ), we show the existence and multiplicity of negative energy solutions for the above system based on the genus properties in critical point theory.
In the above two cases, since L ( n ) is positive definite, the variational functional associated with system (1.1) is bounded from below, techniques based on the genus properties have been well applied.
In these papers, since (L t)) is positive definite, the energy functional associated with system (1.1) is bounded from below, techniques based on the genus properties have been well applied.
This analysis further shows that about 100 hairpin examples are needed to establish a successful model and that performance increases when models are created based on the genus rather than individual species (e.g., averaged drosophila species 0.85, genus drosophila, 0.94).
Ford's description of Struthiosaurinae was based on the genus Struthiosaurus.
The Cylindroleberididae and Cylindroleberidinae are based on the genus Cylindroleberis Brady, 1868 [6].
The ostracod family Cylindroleberididae is based on the genus Cylindroleberis Brady, 1868, and has a complicated nomenclatural history.
Oxygen requirement (i.e., aerotolerance) classification was generated based on the genus- and family-level taxonomy through extensive literature search.
The tree was time-calibrated using recent estimates obtained from molecular phylogenies of the major clades within Liolaemus [ 26], and based on the genus' fossil record [ 38– 40].
