Let X be a smooth projective toric surface, and H(X) the Hilbert scheme parametrising the length d zero-dimensional subschemes of X . We compute the rational Chow ring A(H(X))Q. More precisely, if T ⊂ X is the twodimensional torus contained in X , we compute the rational equivariant Chow ring AT (H (X))Q and the usual Chow ring is an explicit quotient of the equivariant Chow ring. The case of s...

Bus lanes have gradually become an indispensable infrastructure for the development of urban public transportation networks. A bi-level programming model is used herein to compare total travel time social vehicles and buses before after bus lane set up judge whether layout plan scientific reasonable considering road network. The model’s effectiveness verified using areas Qingshan Lake in Nancha...

Motivated by the recent result that left-orderability of a group $G$ is intimately connected to circular orderability direct products $G \times \mathbb{Z}/n\mathbb{Z}$, we provide necessary and sufficient cohomological conditions such product be circularly orderable. As consequence main theorem, arrive at new characterization for fundamental rational homology 3-sphere left-orderable. Our result...

In this study, shape preserving data driven rational cubic schemes are developed. A piecewise function (quadratic denominator and numerator) with two parameters was transformed to C1 function. Constraints were derived on free by means of some mathematical derivations train demonstrate convex curve. The scheme, then, advanced partially blended bi-cubic eight which controlled ascertain surface. n...

2.1 Series over a graded monoid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.1.1 Graded monoid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.1.2 Topology on K〈〈M〉〉 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Distance on K〈〈M〉〉 . . . . . . . . . . . . . . . . . . . . . . . . . . . ....

We develop a dynamical theory for the family of holomorphic correspondences Fa proved by current authors to be matings between modular group and parabolic rational maps in Milnor slice Per1(1) ([2]). Such mating endows complement limit set with geometry hyperbolic plane, equipped action group. introduce bi-infinite coding sequences geodesics this complement, utilising continued fraction express...

The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational character tables are also considered into account.The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational charact...