the first extended zeroth-order connectivity index of a graph   g is defined as 0 1/2 1 ( ) ( ) ,   v   v v g      g d      where   v   (g) is the vertex set of g, and v d is the sum of degrees of neighbors of vertex v in g. we give a sharp lower bound for the first extended zeroth-order connectivity index of trees with given numbers of vertices and pendant vertices,...

We present results from the zeroth-order imaging of a Chandra HETGS observation of the nearby Seyfert 2 galaxy Circinus. Twelve X-ray sources were detected in the ACIS-S image of the galaxy, embedded in diffuse X-ray emission. The latter shows a prominent (∼ 18) soft “plume” in the N-W direction, coincident with the [O III] ionization cone. The radial profiles of the brightest X-ray source at v...

The distributed-tubes model of hepatic elimination is extended to include intermixing between sinusoids, resulting in the formulation of a new, interconnected-tubes model. The new model is analysed for the simple case of two interconnected tubes, where an exact solution is obtained. For the case of many strongly-interconnected tubes, it is shown that a zeroth-order approximation leads to the co...

We derive a Hamiltonian form of the fourth-order (extended) nonlinear Schrödinger equation (NLSE) in Klein–Gordon model with quadratic and cubic nonlinearities. This describes propagation envelope slowly modulated wave packets approximated by superposition fundamental, second, zeroth harmonics. Although extended NLSEs are not generally PDEs, derived here is PDE that preserves structure original...

A successful design accounts for the structure of the problem it is aimed at solving. When it is a human-directed design, this includes the expectations of its users. How do we arrive at such a design? One approach starts from first principles (e.g., simplicity, unity, symmetry, balance) to evaluate the quality of proposed designs. Here, we introduce design from zeroth principles, a form of hum...

Zeroth-order (derivative-free) optimization attracts a lot of attention in machine learning, because explicit gradient calculations may be computationally expensive or infeasible. To handle large scale problems both in volume and dimension, recently asynchronous doubly stochastic zeroth-order algorithms were proposed. The convergence rate of existing asynchronous doubly stochastic zeroth order ...

We study thermodynamics and critical behaviors of higher-dimensional Lovelock black holes with non-maximally symmetric horizons in the canonical ensemble extended phase space. The effects from non-constancy horizon hole via appearing two chargelike parameters thermodynamic quantities third-order are investigated. find that Ricci flat nonconstant curvature show behavior. This is an interesting f...

Most student modelling systems seek to develop a model of the internal operation of the cognitive system. In contrast, Input-Output Agent Modelling (IOAM) models an agent in terms of relationships between the inputs and outputs of the cognitive system. Previous IOAM systems have demonstrated high predictive accuracy in the domain of elementary subtraction. These systems use zeroth-order inducti...

Mechanics of non-rotating black holes was recently generalized by replacing the static event horizons used in standard treatments with ‘isolated horizons.’ This framework is extended to incorporate dilaton couplings. Since there can be gravitational and matter radiation outside isolated horizons, now the fundamental parameters of the horizon, used in mechanics, must be defined using only the lo...