Use is made of Onsager’s hydrodynamic equation to derive the vibration spectrum of the vortex lattice in d-wave superconductor. In particular the rhombic lattice (i.e. the 45 tilted square lattice) is found to be stable for B > Hcr(t). Here Hcr(t) denotes the critical field at which the vortex lattice transition takes place. Typeset using REVTEX 1 Since the discovery of the triangular vortex la...

We resolve a conjecture of Hegarty regarding the number of edges in the square of a regular graph. If G is a connected d-regular graph with n vertices, the graph square of G is not complete, and G is not a member of two narrow families of graphs, then the square of G has at least (2− od(1))n more edges than G.

Background: one of the growing diseases in the world that affects patient life quality is Inflammatory bowel disease (IBD), including ulcerative colitis (UC). Many environmental factors, including nutritional deficiencies, may influence the development of the disease. This study aims to evaluate the role of the level of vitamin D in UC recurrence. Methods: We performed this cross-sectional stu...

Square is a multivariate quadratic encryption scheme proposed in 2009. It is a specialization of Hidden Field Equations by using only odd characteristic elds and also X as its central map. In addition, it uses embedding to reduce the number of variables in the public key. However, the system was broken at Asiacrypt 2009 using a di erential attack. At PQCrypto 2010 Clough and Ding proposed two n...

∗Department of Neuroinflammation, Neuroimmunology Group, Institute of Neurology, Queen Square, London, WC1N 3BG, United Kingdom. Fax: +44 207 837 8553, E-mail: [email protected] †BioMérieux, R&D Department, Neurological Programs, Bat.07 Pieèce 112, Chemin de L’Orme, F–69290 Marcy L’Etoile, France ‡Department of Neuroinflammation, MRI Group, Institute of Neurology, Queen Square, London, WC...

Results of previous studies from North America reported that only 14 out of the 20 items from the Center for Epidemiologic Studies Depression Scale (CES-D) were required to assess negative affect, somatic symptoms, and anhedonia. However, it remains unclear whether this three-factor structure of the CES-D would be valid in South Korea. The purpose of this study is to examine the validity of the...

Greek mathematician Diophantus of Alexandria noted that the numbers 1 16 , 33 16 , 68 16 and 105 16 have the property that the product of any two of them when increased by 1 is a square of a rational number. Let n be an integer. We say the set of natural numbers {a1, a2, . . . , am} has the property of Diophantus of order n, in brief D(n), if for all i, j = 1, 2, . . . ,m, i 6= j, the following...

Mean-square unperturbed dimensions {r2)0 and their temperature coefficient d In{r2)0/dT have been calculated for ethylene-propylene copolymers by means of the rotational isomeric state theory of chain molecules. Conformational energies required in the analysis are shown to be readily obtained from previous analyses of polyethylene and polypropylene, without additional approximations. Results th...