Complete mitochondrial genome of Anarta trifolii (Lepidoptera: Noctuidae)
MITOCHONDRIAL DNA PART B-RESOURCES
Authors: Wu, Yu-Peng; Lu, Jun-Jiao; Yang, Jing; Wang, Ju-Ping; Cao, Tian-Wen; Fan, Ren-Jun
Abstract
The Anarta trifolii belongs to Noctuidae in Lepidoptera. The complete mitogenome of A. trifolii was described in this study, which is typical circular duplex molecules and 15,281 bp in length, containing the standard metazoan set of 13 protein-coding genes, 22 transfer RNA genes, 2 ribosomal RNA genes, and an A + T-rich region. The gene order is same with other lepidopterans. Except for cox1 started with CGA, all other PCGs started with the standard ATN codons. Most of the PCGs terminated with the stop codon TAA, whereas nad3 is TAG, nad4 has the incomplete stop codon T. The phylogenetic tree showed that A. trifolii and other three species belong to Hadeninae, which are clustered into a clade.
Foundations of Conic Conformal Geometric Algebra and Compact Versors for Rotation, Translation and Scaling
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
Authors: Hitzer, Eckhard; Sangwine, Stephen J.
Abstract
This paper explains in algebraic detail how two-dimensional conics can be defined by the outer products of conformal geometric algebra (CGA) points in higher dimensions. These multivector expressions code all types of conics in arbitrary scale, location and orientation. Conformal geometric algebra of two-dimensional Euclidean geometry is fully embedded as an algebraic subset. With small model preserving modifications, it is possible to consistently define in conic CGA versors for rotation, translation and scaling, similar to Hrdina et al. (Appl Clifford Algebras 28(66), 1-21, 10.1007/s00006-018-0879-2, 2018), but simpler, especially for translations.