We use the automorphism group Aut(H), of holes in the lattice L8 = A2 ⊕ A2 ⊕ D4, as the starting point in the construction of sphere packings in 10 and 12 dimensions. A second lattice, L4 = A2 ⊕ A2, enters the construction because a subgroup of Aut(L4) is isomorphic to Aut(H). The lattices L8 and L4, when glued together through this relationship, provide an alternative construction of the lamin...

Pimentel L.A., Oliveira D.M., Galiza G.J.N., Dantas A.F.M., Uzal F. & RietCorrea F. 2010. Focal symmetrical encephalomalacia in sheep. Pesquisa Veterinária Brasileira 30(5):423-427. Setor de Patologia Veterinária, Hospital Veterinário, CSTR, Campus de Patos, Universidade Federal de Campina Grande, Patos, PB 58700-000, Brazil. Email: [email protected] Focal symmetrical encephalomalacia (F...

We investigate the ability of mixed quantum-classical methods to capture the dynamics of vibrational energy relaxation. Several methods, including surface hopping, and Ehrenfest and symmetrical quasiclassical (SQC) dynamics, are benchmarked for the exactly solvable model problem of a harmonic oscillator bilinearly coupled to a bath of harmonic oscillators. Results show that, very often, one can...

We develop a systematic cluster expansion for dilute systems in the highly dilute phase. We first apply it to the calculation of the entropy of the K-satisfiability problem in the satisfiable phase. We derive a series expansion in the control parameter, the average connectivity, that is identical to the one obtained by using the replica approach with a replica symmetric (RS) ansatz, when the or...

BACKGROUND In older adults, clinical measures have been used to assess fall risk based on the ability to maintain stance or to complete a functional task. However, in an impending fall situation, a stepping response is often used when strategies to maintain stance are inadequate. We examined how maximal and rapid stepping performance might differ among healthy young, healthy older, and balance-...

A Banach space X is asymptotically symmetric (a.s.) if for some C < ∞, for all m ∈ N, for all bounded sequences (x i j)

Studies have shown that male faces high in symmetry are judged more attractive than faces low in symmetry even in images where visual cues to facial symmetry are reduced. These findings suggest that there are correlates of facial symmetry that influence male facial attractiveness independently of symmetry itself. Apparent healthiness of facial skin is one factor that may influence male facial a...

We find a q-analog of the following symmetrical identity involving binomial coefficients ( n m ) and Eulerian numbers An,m, due to Chung, Graham and Knuth [J. Comb., 1 (2010), 29–38]: ∑ k≥0 ( a + b k ) Ak,a−1 = ∑ k≥0 ( a + b k ) Ak,b−1. We give two proofs, using generating function and bijections, respectively.

Facial symmetry is obviously a useful natural characteristic of facial images, which will help develop face-oriented recognition technology and algorithms. This paper will apply it to face recognition after introducing mirror images. By combining PCA with the even-odd decomposition principle, a new algorithm called Symmetrical Principal Component Analysis is proposed, in which different energy ...

Case Reports Case 1. A male child was born in 1949 at term following a normal pregnancy and labour. His birth weight was 91 lb. Swelling of the feet was noted soon after birth. He was breast fed for two months and then reared on dried milk. On examination at the age of 6 weeks symmetrical pitting oedema of both feet extending a short distance up the legs was present. The hands were spared and n...