Estimation of inertial platform errors

Equations for inertial platform error mode

Quasilocal Energy for a Kerr black hole

The quasilocal energy associated with a constant stationary time slice of the Kerr spacetime is presented. The calculations are based on a recent proposal \cite{by} in which quasilocal energy is derived from the Hamiltonian of spatially bounded gravitational systems. Three different classes of boundary surfaces for the Kerr slice are considered (constant radius surfaces, round spheres, and the ergosurface). Their embeddings in both the Kerr slice and flat three-dimensional space (required as a normalization of the energy) are analyzed. The energy contained within each surface is explicitly calculated in the slow rotation regime and its properties discussed in detail. The energy is a positive, monotonically decreasing function of the boundary surface radius. It approaches the Arnowitt-Deser-Misner (ADM) mass at spatial infinity and reduces to (twice) the irreducible mass at the horizon of the Kerr black hole. The expressions possess the correct static limit and include negative contributions due to gravitational binding. The energy at the ergosurface is compared with the energies at other surfaces. Finally, the difficulties involved in an estimation of the energy in the fast rotation regime are discussed.Comment: 22 pages, Revtex, Alberta-Thy-18-94. (the approximations in Section IV have been improved. To appear in Phys. Rev. D

Similitude requirements and scaling relationships as applied to model testing

The similitude requirements for the most general test conditions are presented. These similitude requirements are considered in relation to the scaling relationships, test technique, test conditions (including supersonic flow), and test objectives. Particular emphasis is placed on satisfying the various similitude requirements for incompressible and compressible flow conditions. For free flying models tests, the test velocities for incompressible flow are scaled from Froude number similitude requirements and those for compressible flow are scaled from Mach number similitude requirements. The limitations of various test techniques are indicated, with emphasis on the free flying model

Analysis of the linearity characteristics, tape recorders and compensation effects in the FM/FM telemetry system

Linearity characteristics, tape recorder effects, and tape speed compensation effects in FM/FM TELEMETRY syste

Cosmological Supergravity from a Massive Superparticle and Super Cosmological Black Holes

We describe in superspace a classical theory of two dimensional $(1,1)$ dilaton supergravity with a cosmological constant, both with and without coupling to a massive superparticle. We give general exact non-trivial superspace solutions for the compensator superfield that describes the supergravity in both cases. We then use these compensator solutions to construct models of two-dimensional supersymmetric cosmological black holes.Comment: 20 pages, Late

Supersymmetric spacetimes in 2+1 adS-supergravity models

We find a class of (2+1)-dimensional spacetimes admitting Killing spinors appropriate to (2,0) adS-supergravity. The vacuum spacetimes include anti-de Sitter (adS) space and charged extreme black holes, but there are many others, including spacetimes of arbitrarily large negative energy that have only conical singularities, and the spacetimes of fractionally charged point particles. The non-vacuum spacetimes are those of self-gravitating solitons obtained by coupling (2,0) adS supergravity to sigma-model matter. We show, subject to a condition on the matter currents (satisfied by the sigma model), and a conjecture concerning global obstructions to the existence of certain types of spinor fields, that the mass of each supersymmetric spacetime saturates a classical bound, in terms of the angular momentum and charge, on the total energy of arbitrary field configurations with the same boundary conditions, although these bounds may be violated quantum mechanically.Comment: 47 pages, phyzzx.tex, no figures

Growth, Characterization, and Electrochemical Properties of Doped n-Type KTaO_3 Photoanodes

The effects of compositionally induced changes on the semiconducting properties, optical response, chemical stability, and overall performance of KTaO_3 photoanodes in photoelectrochemical (PEC) cells have been investigated. Single crystals of n-type Ca- and Ba-doped KTaO_3 with carrier concentrations ranging from 0.45 to 11.5×10^(19) cm^(−3) were grown and characterized as photoanodes in basic aqueous electrolyte PEC cells. The PEC properties of the crystals, including the photocurrent, photovoltage, and flatband potential in contact with 8.5 M NaOH(aq) were relatively independent of whether Ca or Ba was used to produce the semiconducting form of KTaO_3. All of the Ca- or Ba-doped KTaO_3 single-crystal photoanodes were chemically stable in the electrolyte and, based on the open-circuit potential and the band-edge positions, were capable of unassisted photochemical H_2 and O_2 evolution from H_2O. The minority-carrier diffusion lengths values were small and comparable to the depletion region width. Photoanodic currents were only observed for photoanode illumination with light above the bandgap (i.e., λ<340 nm). The maximum external quantum yield occurred at λ=255 nm (4.85 eV), and the depletion width plus the minority-carrier diffusion length ranged from 20 to 65 nm for the various KTaO_3-based photoanode materials

COPD exacerbation phenotypes in a real-world five year hospitalisation cohort

INTRODUCTION: COPD exacerbation phenotypes have been defined in research populations by predominantly infective or inflammatory aetiology. We sought to characterise this in patients admitted to our centre. MATERIALS AND METHODS: Case-notes of consecutive patients discharged alive after treatment for acute COPD exacerbations between December 2012 and January 2017 were analysed. Data were collected on treatment, length of stay, C-reactive protein (CRP), eosinophil count and bacterial sputum culture positivity for potentially pathogenic microorganisms (PPM). RESULTS: 1029 exacerbations were included. There was an inverse correlation between CRP and eosinophil count (rho = -0.277, p 100 mg/L (4d [3,8] vs 4d [2,7], p < 0.01) or when given antibiotics (4d [2,8] vs 3d [1,6], p < 0.001) and shorter if receiving corticosteroids (4d [2,6] vs 6d [3,7], p < 0.001). Being sputum culture positive on first exacerbation was associated with sputum culture positivity in subsequent exacerbations. Patients with PPM in sputum culture had a significantly higher median CRP than culture negative patients (38 mg/L [18.75, 57] v 18 mg/L [8.5,45.5] p < 0.05). Length of stay, eosinophil count and CRP were significantly correlated between exacerbation pairs. CONCLUSIONS: This real-world population found eosinophilic and high CRP exacerbations to be distinct and significantly stereotyped within individual patients across recurrent exacerbations. High CRP exacerbations are associated with greater healthcare utilisation and chance of sputum positivity with PPM. Eosinophilic exacerbations were associated with lower rate of readmission. Phenotype-driven treatment warrants further investigation in this population

Casimir energy and variational methods in AdS spacetime

Following the subtraction procedure for manifolds with boundaries, we calculate by variational methods, the Schwarzschild-Anti-de Sitter and the Anti-de Sitter space energy difference. By computing the one loop approximation for TT tensors we discover the existence of an unstable mode at zero temperature, which can be stabilized by the boundary reduction method. Implications on a foam-like space are discussed.Comment: Submitted to Classical and Quantum Gravit