correct estimation of suspended sediment transported by a river is an important practice in water structure design, environmental problems and water quality issues. conventionally, sediment rating curve used for suspended sediment estimation in rivers. in this method discharge and sediment discharge or concentration related using regression relation that generally is exponential model. respect ...

Simultaneous conndence bands of a regression curve may be used to quantify the uncertainty of an estimate of the curve. The tube formula for volumes of tubular neighborhoods of a manifold provides a very powerful method for obtaining such bands at a prescribed level, when errors are Gaussian. This paper studies robustness of the tube formula for non-Gaussian errors. The formula holds without mo...

A Gaussian/square function computation circuit suitable for analog neural networks is proposed. It can realize Gaussian and square functions when operating in weak and strong inversion region, respectively. It is shown that the center, width, and peak amplitude of the dc transfer curve can be controlled separably. Measurement results on 3m CMOS fabricated chips confirm theoretical and simulatio...

The luminance-response function of the brief flash full-field photopic electroretinogram (ERG) rises to a peak before falling to a sub-maximal plateau -- the 'photopic hill'. The combination of on- and off-responses inherent in the brief flash photopic ERG suggests that this luminance-response function could be modelled by the sum of a Gaussian function and a logistic growth function. Photopic ...

The Information Bottleneck (IB) is a conceptual method for extracting the most compact, yet informative, representation of a set of variables, with respect to the target. It generalizes the notion of minimal sufficient statistics from classical parametric statistics to a broader information-theoretic sense. The IB curve defines the optimal trade-off between representation complexity and its pre...

Abstract. Gaussian beams are asymptotically valid high frequency solutions to hyperbolic partial differential equations, concentrated on a single curve through the physical domain. They can also be extended to some dispersive wave equations, such as the Schrödinger equation. Superpositions of Gaussian beams provide a powerful tool to generate more general high frequency solutions that are not n...

During the 1980s, it was commonly accepted that congenital heart defects (CHDs) were secondary to multifactorial components. Nora and Nora presented a graph of a Gaussian curve with a vertical bar. Individuals of a general population were under the curve with individuals on the left side of the Gaussian curve carrying the least amount of CHD genetic predisposing factors and individuals on the r...

In this chapter we begin a study of special curves lying on surfaces in R. An asymptotic curve on a surface M ⊂ R is a curve whose velocity always points in a direction in which the normal curvature of M vanishes. In some sense, M bends less along an asymptotic curve than it does along a general curve. As a simple example, the straight lines on the cylinder (u, v) 7→ (cosu, sinu, v) formed by s...

A method to implement elliptic curve public-key cryptosystem over Z(i) is discussed. The method is in fact the same as the technique that works on Galois fields but here works on Z(i). The curve under Z(i) generates more points as compared to the curve under Galois fields. The security of the system is better due to more number of points on the curve. But there are some difficulties in the new ...