for a simple connected graph $g$ with $n$-vertices having laplacian eigenvalues‎ ‎$mu_1$‎, ‎$mu_2$‎, ‎$dots$‎, ‎$mu_{n-1}$‎, ‎$mu_n=0$‎, ‎and signless laplacian eigenvalues $q_1‎, ‎q_2,dots‎, ‎q_n$‎, ‎the laplacian-energy-like invariant($lel$) and the incidence energy ($ie$) of a graph $g$ are respectively defined as $lel(g)=sum_{i=1}^{n-1}sqrt{mu_i}$ and $ie(g)=sum_{i=1}^{n}sqrt{q_i}$‎. ‎in th...

We examine the design of regulatory policy to induce electric utilities to deliver the surplus-maximizing level of energy efficiency services, e∗. The rebound effect (whereby increased energy efficiency stimulates the demand for energy) typically renders revenue decoupling insufficient in this regard. The additional financial incentive required to induce e∗ is shown to vary with such factors as...

Threats to insect diversity range from habitat loss and invasive alien organisms to environmental contamination and biological control. Many of the threats are synergistic, with the joint impact of habitat loss and global climate change being highly adversely synergistic. Recent research on insect conservation has elucidated some basic principles for conservation management. There are six basic...

this paper investigates the relationship between total energy consumption and gdp in six countries of the middle east , including iran,pakistan,saudi arabia,oman,bahrain and the united arab emirates. the data are annual and spanning the period 1980-2012.we employed hsiao’s (1981) methodology to examine causality relation between total energy consumption and gdp.the empirical findings show a uni...

The multi-symplectic form for Hamiltonian PDEs leads to a general framework for geometric numerical schemes that preserve a discrete version of the conservation of symplecticity. The cases for systems or PDEs with dissipation terms has never been extended. In this paper, we suggest a new extension for generalizing the multi-symplectic form for Hamiltonian systems to systems with dissipation whi...

The “standard” expressions for total energy, linear momentum and also angular momentum of asymptotically flat Bondi metrics at null infinity are also obtained from differential conservation laws on asymptotically flat backgrounds, derived from a quadratic Lagrangian density by methods currently used in classical field theory. It is thus a matter of taste and commodity to use or not to use a ref...