The observation that a molecular electron density is close to the superposition of its constituent atoms leads naturally to the idea of modeling a density by a sum of nuclear-centered, spherically symmetric functions. The functions that are optimal in a least-squares sense are known as Stewart atoms. Previous attempts to construct Stewart atoms by expanding them in an auxiliary basis have been ...

We study a method to solve stationary axisymmetric vacuum Einstein equations numerically. As an illustration, the five-dimensional doubly spinning black rings that have two independent angular momenta are formulated in a way suitable for fully nonlinear numerical method. Expanding for small second angular velocity, the formulation is solved perturbatively upto second order involving the backrea...

Forces are already in motion that will change the future of health sciences librarianship. In addition to changes in academic health centers, changes in the publishing industry, the mode of delivering information by librarians, the use of computers to manipulate and make information available, the user's access to information, and communications technology are briefly described. The author prop...

Aim of study: To investigate the impact factors affecting greenhouse environment on energy consumption and productivity.Area Alborz province Iran during period 2018–2020.Material methods: In this study, 18 active units owners in that had necessary standards were identified. Then, upper lower amplitudes variables productivity greenhouses calculated using a type-2 fuzzy neural network, Matlab 201...

We discuss the existence of large isolated (non-unit) eigenvalues of the Perron– Frobenius operator for expanding interval maps. Corresponding to these eigenvalues (or ‘resonances’) are distributions which approach the invariant density (or equilibrium distribution) at a rate slower than that prescribed by the minimal expansion rate. We consider the transitional behaviour of the eigenfunctions ...

Abstrucr-The problem considered involves estimating a two-dimensional isotropic random field given noisy observations of this field over a disk of finite radius. By expanding the field and observations in Fourier series, and exploiting the covariance structure of the resulting Fourier coefficient processes, recursions are obtained for efficiently constructing the linear least-squares estimate o...