When two-dimensional Anti-de Sitter space (AdS2 ) is endowed with a non-constant dilaton the origin of the central charge in the Virasoro algebra generating the asymptotic symmetries of AdS2 can be traced back to the breaking of the SL(2, R) isometry group of AdS2 . We use this fact to clarify some controversial results appeared in the literature about the value of the central charge in these m...

Background Two-dimensional (2D) phase contrast (PC) magnetic resonance imaging (MRI) enables non-invasive measurements of forward and backward flow, shunt volumina and peak velocity. It is an important tool in the diagnosis and follow-up of patients with congenital or acquired cardiovascular diseases. However, planning and repeated acquisition of multiple 2D measurements is timeconsuming and da...

OBJECTIVES The aim of this study, undertaken in patients who underwent mitral valve (MV) repair surgery, was to evaluate the feasibility and accuracy of 3-dimensional (3D) transthoracic (TTE) and transesophageal (TEE) echocardiography in the evaluation of MV pathology. BACKGROUND A pre-operative assessment of MV anatomy is essential to surgical design in patients undergoing MV repair. Althoug...

The protein folding problem in the HP-model is NP-hard in both 2D and 3D [4, 6]. The problem is to put a sequence, consisting of two characters H and P, on a d-dimensional grid to have the maximal number of HH contacts. We design a 2 1− 1 d log n) time algorithm for ddimensional protein folding in the HP-model. In particular, our algorithm has O(2 √ n log ) and O(2 2 3 log ) computational time ...

Five new metal complexes, {[Ni(DIDP)(m-bdc)(H2O)]·5H2O}n (1), {[Zn(DIDP)(hfipbb)]·2DMA}n (2), {[Zn(DIDP)(4,4'-sdb)]·H2O}n (3), {[Co(DIDP)(p-bdc)]}n (4), and {[Co2(DIDP)(hfipbb)2]·H2O}n (5), have been synthesized by reactions of the corresponding metal ions with a V-shaped ligand 2,8-di(1H-imidazol-1-yl)dibenzothiophene (DIDP) and different aromatic dicarboxylic acids, namely isophthalic acid (m...

starting from two-dimensional (2d) equations of motion, discretized formulations for transient behavior of soil-structure interaction problems have been derived. two different dynamic infinite elements taking into account single and two-wave types are presented in transformed space. by coupling the infinite elements with standard finite elements, an ordinary finite element procedure is used for...

BACKGROUND Accurate quantification of mitral regurgitation (MR) is important for patient treatment and prognosis. Three-dimensional echocardiography allows for the direct measure of the regurgitant orifice area (ROA) by 3D-guided planimetry of the vena contracta area (VCA). We aimed to (1) establish 3D VCA ranges and cutoff values for MR grading, using the American Society of Echocardiography-r...

We determine the minimal radius of n = 2, d or 2d congruent balls, which cover the d-dimensional crosspolytope.

$\mathrm{HfS}_{2}|\mathrm{HfO}_{2}$ interfaces present a uniquely interesting study in band alignment. The alignment between materials determines the viability of many electronic devices. We have modeled variety two-dimensional|three-dimensional (2D|3D) interfaces, showing that can change substantially depending on geometric Our results shown there exists almost no reconstruction when layers $\...