Traffic flow systems are nonlinear and uncertain, so it is very difficult to find their optimal points. In traditional traffic control systems, the traffic lights of crossings change in a fixed time period that is not optimal. On the other hand, most proposed systems are sufficiently capable of coping with the uncertainties of traffic flow. To solve this problem, there is a need to develop expe...

In analytic geometry, Bézout’s theorem stated the number of intersection points two algebraic curves and Fulton introduced multiplicity at some point in local case. It is meaningful to give exact expression point. this paper, we mainly express R 2 id="M2"...

This study was carried out to analyze the variations of Benzene, Toluene, and para- Xylene (BTp-X) present in the urban air of Delhi. These pollutants can enter into the human body through various pathways like inhalation, oral and dermal exposure posing adverse effects on human health. Keeping in view of the above facts, six different locations of Delhi were selected for the study during summe...

Nowadays, geospatial information systems (GIS) are widely used to solve different spatial problems based on various types of fundamental data: spatial, temporal, attribute and topological relations. Topological relations are the most important part of GIS which distinguish it from the other kinds of information technologies. One of the important mechanisms for representing topological relations...

The mixed polynomial matrix, introduced as a convenient mathematical tool for the description of physical/engineering dynamical systems, is a polynomial matrix of which the coefficients are classified into fixed constants and independent parameters. The valuated matroid, invented by Dress and Wenzel [Appl. Math. Lett., 3 (1990), pp. 33–35], is a combinatorial abstraction of the degree of minors...

As with many min-max characterizations, proving one of the inequalities is straightforward. For any U ⊆ S and I ∈ I1 ∩ I2, we have |I| = |I ∩ U |+ |I ∩ (S \ U)| ≤ r1(U) + r2(S \ U), since I ∩ U is an independent set in I1 and I ∩ (S \ U) is an independent set in I2. Therefore, maxI∈I1∩I2 |I| ≤ minU∈S (r1(U) + r2(S \ U)). The following important examples illustrate some of the applications of th...

Let H,K be subgroups of G. We investigate the intersection properties of left and right cosets of these subgroups. If H and K are subgroups of G, then G can be partitioned as the disjoint union of all left cosets of H, as well as the disjoint union of all right cosets of K. But how do these two partitions of G intersect each other? Definition 1. Let G be a group, and H a subgroup of G. A left t...

We construct supergravity solutions describing branes (D2-branes or NS 5-branes or waves) localized within D6-branes in the region close to the core of the D6branes. Other similar string-theory and M-theory ‘near-core’ localized solutions can be found by applying U-duality and/or lifting D = 10 solutions to D = 11. In particular, the D2-branes localized on D6-branes is T-dual to a special case ...