An elementary example shows that the number of zeroes of a component of a solution of a system of linear ordinary differential equations cannot be estimated through the norm of coefficients of the system. Bounds for oscillations. In [1] it was shown that a linear ordinary differential equation of order n, with real analytic coefficients bounded in a neighborhood of the interval [−1, 1], admits ...

Intelligent control in road traffic intersections can be an alternative to a conventional control where duration of each signal phase is predetermined. In this article fuzzy logic approach for traffic signals control is considered and applied for an isolated intersection. Number of vehicles in each lane is measured with loop detectors. At the end of each phase these numbers are used as inputs t...

Given a weighted flag variety wΣ(μ, u) corresponding to chosen fixed parameters μ and u, we present an algorithm to compute lists of all possible projectively Gorenstein n-folds, having canonical weight k and isolated orbifold points, appearing as weighted complete intersections in wΣ(μ, u) or some projective cone(s) over wΣ(μ, u). We apply our algorithm to compute lists of interesting classes ...

Real-time monitoring of traffic signal system operations can be accomplished through the central or closed loop software that communicates with the traffic signal controllers in the field. However, there are a few significant limitations with this approach. This paper presents an alternative approach to improve real-time monitoring of signalized intersections operations using instrumentation at...

In this paper, the twisted Jacobi intersections which contains Jacobi intersections as a special case is introduced. We show that every elliptic curve over the prime field with three points of order 2 is isomorphic to a twisted Jacobi intersections curve. Some fast explicit formulae for twisted Jacobi intersections curves in projective coordinates are presented. These explicit formulae for addi...