In a smart grid system, different types of electricity users such as residential, commercial and industrial have utility functions. This paper proposes nonlinear constrained optimization model for real-time pricing that maximizes the total utilities all user groups. A Karush–Kuhn–Tucker equation system is employed to solve model. However, it challenging task due complementary condition. To tack...

The main aim of this paper is to analyse minimally-coupled scalar-fields -- quintessence and phantom as the candidates explain accelerated expansion universe compare its observables current cosmological observations; a byproduct we present python module. This work includes parameter $\epsilon$ which allows incorporate both fields within same analysis. Examples potentials, so far included, are $...

This work presents an analytical and numerical study of the relativistic-ponderomotive effect on self-focusing intense cosh-Gaussian laser beam in a collisionless magnetized plasma by considering external magnetic field direction propagation beam. The nonlinear differential equation for width parameter/intensity is obtained Wentzel–Kramers–Brillouin (WKB) paraxial-ray approximations. at differe...

The function g (which contains the singular part of the free energy) must have a special symmetry that relates its values for dual arguments. (For example the function f(x) = x/(1 + x) equals f(x), establishing a duality between the arguments at x and x.) Eq.(VI.23) has the following properties: 1. Low temperatures are mapped to high temperatures, and vice versa. 2. The mapping connects pairs o...

The direct-current ~dc! electric-field dependence of dielectric constant around paraelectric– ferroelectric transition in Cd2Nb2O7 has been studied. The results show significant suppression of the dielectric constant by the application of dc bias. The electric-field dependence of the dielectric constant at the temperature around paraelectric–ferroelectric phase transition can be well described ...

We study DBI-type effective theory of an unstable D3-brane in the background manifold R×M2 where M2 is an arbitrary two-dimensional manifold. We obtain an exact tubular D2-brane solution of arbitrary cross sectional shape by employing 1/ cosh tachyon potential. When M2 = S2, the solution is embedded in the background geometry R1,3 × S2 of Salam-Sezgin model. This tachyon potential shows a uniqu...

1. Write the formula for the Liouville measure Λ on the unit tangent bundle T 1 H n. Prove that Λ is invariant under the actions by Isom(H n) and the geodesic flow g t on T 1 H n. 2. Let δ be a geodesic in the hyperbolic space H n and let π : H n → δ denote the nearest point projection map. Suppose that for some x, y ∈ H n and some r > 0 we have d(x, δ), d(y, δ) ≥ r. Prove that d(π(x), π(y)) ≤ ...

In this paper newly reported Cosh window function is used in the design of prototype filter for M-channel Near Perfect Reconstruction (NPR) Cosine Modulated Filter Bank (CMFB). Local search optimization algorithm is used for minimization of distortion parameters by optimizing the filter coefficients of prototype filter. Design examples are presented and comparison has been made with Kaiser wind...