In the recent years,theprojects developed the studies onwater resources and agriculture, developmentof human societies, the phenomenon of climate change and drought greatest environmental impact,socio-economic and industry in developing and even under developing countries. Results of theseissues showed the effects of mortality and immigration, human and animal species, environmentaldegradation,...

There are thousands of articles published on variants of splines, including least squares cubic splines. One of the first least squares articles was de Boor and Rice [1], and a comprehensive explanatory textbook is Dierckx [2]. Unfortunately, every example in the literature and on the web of a least squares cubic spline makes use of B-splines. While B-splines have a certain elegance, they are s...

The generalized likelihood ratio (GLR) test has been proposed by Fan, Zhang and Zhang (2001) as a generally applicable method to test parametric, semiparametric or nonparametric models against nonparametric alternatives. It is a natural extension of the maximum likelihood ratio test for a parametric model and fully inherits the advantages of classical likelihood ratio tests. Both true likelihoo...

This paper studies the formulation of dark and singular stationary optical solitons that stem from quadratic-cubic generalized forms nonlinear refractive index coupled with chromatic dispersion. The temporal evolution is taken to be both kinds, namely linear generalized. enhanced Kudryashov’s approach enables this retrieval possible.

in this work, we proposed an efective method based on cubic and pantic b-spline scaling functions to solve partial differential equations of frac- tional order. our method is based on dual functions of b-spline scaling func- tions. we derived the operational matrix of fractional integration of cubic and pantic b-spline scaling functions and used them to transform the mentioned equations to a ...

advance a modern extension formation of cubic vague sets identified as interval (CIVSs). similarly describe the idea (ICIVSs) (ECIVSs) by examples debate their exciting properties, excluding ICIVSs ECIVSs - . Additionally, show ( ECIVSs) necessity not be an ICIVS (or ECIVS). apply (CIVS) to topological spaces and present spaces. Further, we introduce P-cubic space R-cubic space. We discuss basi...

A successful heuristic algorithm for nding Hamilton cycles in cubic graphs is described Several graphs from The Foster census of connected symmetric trivalent graphs and all cubic Cayley graphs of the group PSL are shown to be hamiltonian Proposed running head HAMILTON CYCLES IN CUBIC GRAPHS

The idea of (combinatorial) Gray codes is to list objects in question in such a way that two successive objects differ in some pre-specified small way. In this paper, we utilize β-description trees to cyclicly Gray code three classes of cubic planar maps, namely, bicubic planar maps, 3-connected cubic planar maps, and cubic non-separable planar maps.

All cubic partial cubes (i.e., cubic isometric subgraphs of hypercubes) up to 30 vertices and all edge-critical partial cubes up to 14 vertices are presented. The lists of graphs were confirmed by computer search to be complete. Non-trivial cubic partial cubes on 36, 42, and 48 vertices are also constructed.