Four different vector fields on (x,y)-plane A vector field on a sphere ♣ Curves. A smooth curve is a continuous curve (no gaps or discontinuities) with no corners (no abrupt changes in slope at a point such as you would get from the intersection of two lines). A continuous and differentiable produces a smooth function. A path C is called closed if its initial and final points are the same point...

If φ : L → L′ is a bijection from the set of lines of a linear space (P,L) onto the set of lines of a linear space (P ′,L′) (dim (P,L), dim (P ′,L′) ≥ 3), such that intersecting lines go over to intersecting lines in both directions, then φ is arising from a collineation of (P,L) onto (P ′,L′) or a collineation of (P,L) onto the dual linear space of (P ′,L′). However, the second possibility can...

A method of representing transformations of a finite set pictorially is described. These pictures of a function are used to count certain idempotent transformations, and interesting formulae for the Fibonacci numbers are obtained. No part of any string extends beyond the region ° : : ; z ::; 1, and if two strings intersect then they join together, from the point of intersection, to meet the sam...

Variation in the size and overlap of space use by white-tailed deer (Odocoileus virginianus) has broad implications for managing deer–human conflicts and disease spread and transmission in urban landscapes. Understanding which factors affect overlap of home range by various segments (i.e., age, sex) of an urban deer population has implications to direct contact between deer on disease epidemiol...

The world is rapidly urbanizing, and for the first time in history over 50% of the world’s population reside in urban areas. This rapid urbanization brings about tremendous challenges at the intersection of governance, infrastructure and the environment. Advanced sensing and data analytics techniques have been developed in the context of so called “smart cities” with the goal of providing insig...

The high mobility of VANET makes information exchange across the network excessively difficult. Traditional approaches designed for stationary networks are not applicable due to the high dynamics among the nodes. Applying the routing techniques tailored for general mobile networks inevitably brings huge traffic burden to the crowded urban VANET and leads to low efficiency. To make the informati...

Traffic congestion is one of the leading causes of lost productivity and decreased standard of living in urban settings. Recent advances in artificial intelligence suggest that autonomous vehicle navigation will be possible in the near future. In this paper, we propose a reservation-based system for alleviating traffic congestion, specifically at intersections. First, we describe a custom simul...

A distributed set-membership approach is proposed for the state estimation of largescale systems. The uncertain system states are bounded in a sequence of the distributed setmembership estimators considering unknown-but-bounded system disturbances and measurement noise. In the framework of the set-membership approach, the measurement consistency test is implemented by finding parameterized inte...

Traffic lights have been existing for around 100 years. The first signals were installed for safety reasons for avoiding accident between opposed traffic flows at an intersection. Due to a continually increasing traffic, the traffic lights became a powerful tool for controlling the flows : the stake was to increase the intersection capacity and to decrease the congestion and the overall delay. ...