The concept of Ultra Dense Networks (UDN) is often seen as a key enabler of the next generation mobile networks. However, existing analysis of UDNs, including Stochastic Geometry, has not been able to fully determine the potential gains and limits of densification. In this paper we study performance of UDNs in downlink and provide new insights on the impact of antenna height and careful site se...

The total solar eclipse of 21 August 2017 was unique in that the path totality swept across high spatial and temporal resolution QuantumWeather® mesonet very near city St. Louis Missouri. Thus, meteorological response to complicated by urban heat island. Temperature changes up 4 °C were observed network. Composite meteograms for rural, suburban, stations displayed significant differences temper...

A study was conducted at the National Agriculture Research Center, Islamabad during summer 2001 on 27 genotypes of soybean to determine the correlation and path analyses of yield and its components. Significant differences among genotypes for characters viz., leaf area, chlorophyll content, first pod height, days to 50% flowering, days to flowering completion, days to pod initiation, days to 50...

We further refine the bounds on the path length of binary trees of a given size by considering not only the size of a binary tree, but also its height and fringe thickness (the difference between the length of a shortest root-to-leaf path and the height). We characterize the maximum path length binary trees of a given height, size, and fringe thickness. Using this characterization, we give an a...

Using graph theoretic techniques, it is shown that the height characteristic of a triangular matrix A majorizes the dual sequence of the sequence of differences of maximal cardinalities of singular k-paths in the graph G(A) of A and that in the generic case the height characteristic is equal to that dual sequence. The results on matrices are also used to prove a graph theoretic result on the du...

We report a low-cost, high-throughput scanning probe lithography method that uses a soft elastomeric tip array, rather than tips mounted on individual cantilevers, to deliver inks to a surface in a "direct write" manner. Polymer pen lithography merges the feature size control of dip-pen nanolithography with the large-area capability of contact printing. Because ink delivery is time and force de...

A widely used mechanism for computing the topology of any network in the Internet is Traceroute. Using Traceroute, one simply needs to choose any two nodes in a network and then obtain the sequence of nodes that occur between these two nodes, as specified by the routing tables in these nodes. Thus, each use of Traceroute in a network produces a trace of nodes that constitute a simple path in th...