The ancestors to the Australian marsupials entered Australia around 60 (54-72) Ma from Antarctica, and radiated into the four living orders Peramelemorphia, Dasyuromorphia, Diprotodontia, and Notoryctemorphia. The relationship between the four Australian marsupial orders has been a long-standing question, because different phylogenetic studies have not been able to consistently reconstruct the ...

Denote by G a finite group and let ? ( ) denote the sum of element orders in . In 2009, H. Amiri, S.M. Jafarian Amiri I.M. Isaacs proved that if | = n is non-cyclic, then < C , where denotes cyclic order 2018 we non-cyclic ? 7 11 equality holds 4 k with 2 1 × this paper only are as indicated above. Moreover following generalization result: Theorem Let be q being least prime divisor Then ? + 5 N...

Trace element profiles for common divalent cations (Sr, Zn, Ba), rare-earth elements (REE), Y, U, and Th were measured in fossil bones and teeth from the c. 25 ka Merrell locality, Montana, USA, by using laser-ablation ICP-MS. Multiple traverses in teeth were transformed into 2-D trace element maps for visualizing structural influences on trace element uptake. Trace element compositions of diff...

Higher-order, large-domain electromagnetic simulations are presented based on the finite element method (FEM), method of moments (MoM), and physical optics (PO). The simulations combine higher order geometrical modeling and higher order field/current modeling, which is referred to as double-higher-order modeling. The examples demonstrate that accurate and efficient FEM, MoM, and PO simulations ...

This paper describes the concurrent multi-frontal direct solver algorithm for a multi-physics Finite Element Method (FEM). The multi-physics FEM utilizes different element sizes as well as polynomial orders of approximation over element edges, faces, and interiors (element nodes). The solver is based on the concept of a node, and management of unknowns is realized at the level of nodes. The sol...

Theorem 1.2. If all non-identity elements of G have the same order, this order is a prime p and |G| is a power of p. Proof. If |G| has two prime factors, say p and q, then G contains elements of orders p and q by Cauchy, which contradicts the hypothesis. Thus |G| has only one prime factor, say |G| = pm for a prime p. The orders of a non-identity element could be {p, p2, . . . , pm}. However, by...