The relationships between the generalized directional derivative of the distance function and the existence of nearest points as well as some geometry properties in Banach spaces are studied. It is proved in the present paper that the condition that for each closed subset G of X and x ∈ X \ G, the Clarke, Michel-Penot, Dini or modified Dini directional derivative of the distance function is 1 o...

It is proved that the class of operator equations F(y) = f solvable by a DSM (dynamical systems method) Newton-type method, u̇ = −[F (u) + a(t)I]−1[Fu(t) + a(t)u − f ], u(0) = u0, (∗) is large. Here F : X → X is a continuously Fréchet differentiable operator in a Banach space X , a(t) : [0, ∞) → C is a function, limt→∞ |a(t)| = 0, and there exists a y ∈ X such that F(y) = f . Under weak assumpti...

Thermogravimetric analysis was carried out to investigate the thermal degradation of High Density Poly Ethylene (HDPE) short fibers reinforced epoxy composites. Three composites with 5, 10 and 15 % by weight of HDPE short fiber composition were prepared using epoxy as matrix material. The HDPE short fiber used as reinforcing material into the resin helps in retarding the thermal degradation of ...

We present topological derivative and energy based procedures for the imaging of micro and nanostructures using one beam of visible light of a single wavelength. Objects with diameters as small as 10 nm can be located, and their position tracked with nanometer precision. Multiple objects distributed either on planes perpendicular to the incidence direction or along axial lines in the incidence ...

In this paper a two-step iterative solution algorithm for solving the Camassa–Holm equation, which involves only the first-order derivative term, is presented. In each set of the u P and u m differential equations, one is governed by the inviscid nonlinear convection–reaction equation for the time-evolving fluid velocity component along the horizontal direction. The other equation is known as t...

The distribution of Tn5271-related DNA sequences in samples of groundwater and a groundwater bioremediation system at the Hyde Park (Niagara Falls, N.Y.) chemical landfill site was investigated. PCR amplification of target sequences within the cha genes of Tn5271 revealed similar sequences in the groundwater community and in samples from the sequencing batch reactors treating that groundwater. ...

Electrooculography (EOG) signal is one of the useful electro-physiological signals. The EOG signals provide information about eye movements that can be used as a control signal in human-computer interface (HCI). Usually, eight-directional movements, including up, down, right, left, up-right, up-left, down-right and down-left, are proposed. Development of the EOG signal classification has been s...

A new characterization of bivariate copulas is given by using the notion of Dini derivatives. Several examples illustrate the usefulness of this result.

In this paper, we show that higher-order optimality conditions can be obtain for arbitrary nonsmooth function. We introduce a new higher-order directional derivative and higher-order subdifferential of Hadamard type of a given proper extended real function. This derivative is consistent with the classical higher-order Fréchet directional derivative in the sense that both derivatives of the same...

This paper investigates the performance of different control schemes applied on a 5-link biped robot by simulation studies. The primary controller are implemented with a conventional Proportional Derivative (PD) controller and Computed Torque controller, later enhanced with Active Force Control (AFC). The mathematical modeling and motion control for a bipedal walking robot in this paper consist...