In this research, a hybrid wavelet-artificial neural network (WANN) and a geostatistical method were proposed for spatiotemporal prediction of the groundwater level (GWL) for one month ahead. For this purpose, monthly observed time series of GWL were collected from September 2005 to April 2014 in 10 piezometers around Mashhad City in the Northeast of Iran. In temporal forecasting, an artificial...

using parametric approaches for qualitative assessment of land suitability is a useful method for diagnosis of land capability and potential in optimum crop production. by using such methods will hope that to achieve sustainability in based on fao land evaluation frame works and the presented tables of soil and climate requirements for agronomic crops. we studied qualitative land suitability fo...

We prove that the Atiyah-Singer Dirac operator / Dg in L 2 depends Riesz continuously on L∞ perturbations of complete metrics g on a smooth manifold. The Lipschitz bound for the map g → / Dg(1 + / D 2 g) − 12 depends on bounds on Ricci curvature and its first derivatives as well as a lower bound on injectivity radius. Our proof uses harmonic analysis techniques related to Calderón’s first commu...

A method of ray tracing for free-form optical surfaces has been developed. The ray tracing through such surfaces is based on Delaunay triangulation of the discrete data of the surface and is related to finite-element modeling. Some numerical examples of applications to analytical, noisy, and experimental free-form surfaces (in particular, a corneal topography map) are presented. Ray-tracing res...

Given a quantum pure state chosen from a set with some a priori probabilities, what is the optimal measurement needed to correctly guess the given state? We show that a good choice is the family of square-root or “pretty good” measurements, as each measurement in the family is optimal for at least one discrimination problem with the same quantum states but possibly different a priori probabilit...

Numerical solutions of the Helmholtz equation and the one-way Helmholtz equation are compared in the weak range dependence limit, where the overall range distance is increased while the range dependence is weakened. It is observed that the difference between the solutions of these two equations persists in this limit. The one-way Helmholtz equation involves a square root operator and it can be ...

In this paper we propose an extension of the Libor market model with a high-dimensional specially structured system of square root volatility processes, and give a road map for its calibration. As such the model is well suited for Monte Carlo simulation of derivative interest rate instruments. As a key issue, we require that the local covariance structure of the market model is preserved in the...

A low voltage square root domain filter based on the MOSFET square law is proposed. Through the verification of HSPICE simulation, the extendibility and the reliability of the design procedure are proven. A design technique for current-mode square-root domain band-pass filter simulation in a 0.18 μm CMOS process. The basic building block consists of current-mode current mirrors, square-root cir...

In this paper a new approach for design of class-AB current-mode square-root domain filters based on the electronically simulated translinear loop principle is presented. FG-MOS transistors that operate in strong inverted saturation region are employed for implementation of translinear loop circuit. The filter achieves immunity to body effect, low circuit complexity, large input dynamic ran...

We describe the implementation of the reciprocal square root — also called inverse square root — as a native function in the MPFR library. The difficulty is to implement Newton’s iteration for the reciprocal square root on top’s of GNU MP’s mpn layer, while guaranteeing a rigorous 1/2 ulp bound on the roundoff error. The reciprocal square root is an important function in 3D graphics, for the no...