A finite metric (or more properly semimetric) on n points is a non-negative vector d = (dij) 1 ≤ i < j ≤ n that satisfies the triangle inequality: dij ≤ dik + d jk . The L (or Manhattan )distance | |x − y| |1 between two vectors x = (xi) and y = (yi) in R is given by | |x − y| |1 = 1≤i≤m Σ |xi − yi |. A metric d is L − embeddable if there exist vectors z1, z2, . . . , zn in R for some m, such t...

Using a modified form (delta Q [AQ]-test) of Pielou’s (1979) Q-test, Templeton (1985) reanalyzed Sibley and Ahlquist’s (1984) DNA-DNA hybridization data for hominoid species. He concluded that the phylogeny (fig. 1A) supported by Sibley and Ahlquist is not significantly better than the phylogeny (fig. 1B) favored by Templeton (1983). However, Templeton’s (1985) AQ-test has several statistical p...

Currently light infantry soldiers do not have access to many of their cyber resources the moment they depart the forward operating base (FOB). Commanders with recent combat experience have reported on the dearth of computing abilities once a mission is underway [14]. To address this, our group seeks to develop a tactical, mobile cloud implemented on a swarm of semi-autonomous robots. We provide...

Last Lecture: • Model of timed behaviour: state variables and their interpretation • First order predicate-logic for requirements and system properties This Lecture: • Educational Objectives: Capabilities for following tasks/questions. • Read (and at best also write) Duration Calculus formulae. • Content: • Classes of requirements (safety, liveness, etc.) • Duration Calculus: Assertions, Terms,...

A key reason for using the N × N distance matrix Δ = {dij}i,j=1 in any analysis of N objects, curves in this case, is that it provides an easy way to visualise the data. A common technique used to visualise the N objects is multidimensional scaling (Krzanowski, 2000), where each of the N objects is represented by a coordinate in a given number of dimensions in Euclidean space. The coordinates a...

A Simple logarithmic approximation This problem can be formulated as a set cover problem. Given an instance (D,F, f, d) of the facility location problem, it can be transformed into an instance of a set cover problem (X,S, cost) by • setting X = D, and • setting S = {(i, A) : i ∈ F,A ⊆ D}. (i, A) covers elements of the set A. The cost of the set (i, A) is fi + ∑ j∈A dij . We can then use the sta...

Background. In the modern psychology of coping, there is a strong need to create tool measure appraisals di[ cult life tasks (DLT). ^ e DLT one most common types situations associated with achievement signi] cant goals. Objective. aim adapt questionnaire, which measures cognitive appraisal situations, research special culties (life tasks) and estimate psychometric properties developed version q...

In this paper, we consider anti-periodic solutions of the following BAM neural networks with multiple delays on time scales:    xi (t) = −ai(t)ei(xi(t)) + m ∑ j=1 cji(t)fj(yj(t− τji)) + Ii(t), y∆ j (t) = −bj(t)hj(yj(t)) + n ∑ i=1 dij(t)gi(xi(t− δij)) + Jj(t), where i = 1, 2, . . . , n,j = 1, 2, . . . ,m. Using some analysis skills and Lyapunov method, some sufficient conditions on the exis...