This correspondence improves and extends bounds on the numbers of sensors, redundancies, and holes for sparse linear arrays to sparse planar and volume arrays. As an application, the efficiency of regular planar and volume arrays with redundancies but no holes is deduced. Also, examples of new redundancy and hole square arrays, found by exhaustive computer search, are given.

We explore a possible connection between two aspects of Loop Quantum Gravity which have been extensively studied in the recent literature: the black-hole area-entropy law and the energymomentum dispersion relation. We observe that the original Bekenstein argument for the areaentropy law implicitly requires information on the energy-momentum dispersion relation. Recent results show that in first...

We study oneand two-hole properties of the t-J model at half-filling on the square lattice using series expansion methods at T50. The dispersion curve for one-hole excitations is calculated and found to be qualitatively similar to that obtained by other methods, but the bandwidth for small t/J is some 20% larger than given previously. We also obtain the binding energy and dispersion relation fo...

Two approaches are proposed for solving inverse problems in shape optimization. We are looking for the unknown position of a small hole in a domain Ω. First, the asymptotic analysis of the underlying p.d.e. defined in a perturbed domain is performed and the so-called topological derivative is defined. Then, in the first approach, the self-adjoint extensions of elliptic operators are used to mod...

PURPOSE To describe a novel method for the evaluation of metamorphopsia within the central 10 degrees of the visual field in 55 patients with idiopathic macular hole. The test evaluates the interocular disparity between the two eyes in metamorphopsia. METHODS Semicircular test and reference stimuli of variable diameters were used in a binocular test that measured interocular size disparity be...

We study AdS/CFT correspondence in the case of AdS3. We obtain the statistical entropy of the BTZ black hole in terms of the correct central charge and the conformal dimensions for the states corresponding to the BTZ black hole. We point out the difference between our method and the old fashioned approaches based on SL(2, R) Wess-Zumino-Witten model or Liouville theory. email: [email protected] e...

A highly sensitive hybrid perovskite photodetector is demonstrated to be able to directly resolve light irradiance down to sub-picowatts per square centimeter, in good accordance with the calculated noise equivalent power, which is enabled by electron and hole transport layer engineering, especially the trap passivation effect of the double fullerene layer.

PURPOSE To objectively compare the optical quality and the intraocular scattering after implantation of the posterior chamber phakic implantable collamer lens (Visian ICL™, STAAR Surgical) with and without a central artificial hole for moderate to high ametropia. METHODS This retrospective study comprised 28 eyes of 28 consecutive patients undergoing Hole ICL implantation (mean age ± standard...

Deep infra-red observations and long-term monitoring programs have provided dynamical evidence for a supermassive black hole of mass 3 × 10M⊙ associated with the radio source Sagitarrius A ∗ at the center of our Galaxy. The brightest stars orbiting within 0.1 parsecs of the black hole appear to be young, massive main sequence stars, in spite of an environment near the black hole that is hostile...