A Golden Triangle is a triangle with two of its sides in the ratio (J>:1, where is the Fibonacci Ratio, i.e., (J> = ^(1 + /J) ^ 1.618. Let AABC be a triangle whose sides are a,b, and o and let a/b = k > 1. Bicknell and Hoggatt [1] have shown that (1) a triangle with a side equal to b can be removed from AABC to leave a triangle similar to AABC if and only if k = cj), and (2) a triangle simi...

and Applied Analysis 3 where Θ is a weight function, is called the scalar product of functions f, g on the interval 0, t . Let us recall that two functions are orthonormal when ∀i,j 〈 φi t , φj t 〉 δij , 2.2 where δij is the Kronecker delta. We are looking for an approximate solution to 1.1 as an element of the subspaceHnφ , spanned on nφ first basic functions {φj : j 1, 2, . . . , nφ} unφ x, t...

Several flights were conducted by the University of Wyoming King Air near Cape Mendocino, California, during June 2004 to examine finescale features of the coastal low-level jet (CJ) that frequently forms during summer over the ocean off the West Coast of the United States. The primary goal of these flights was to measure the horizontal pressure gradient force (PGF) and hence to determine the f...

In efforts to divert persons with mental illness from jails and prisons, the option of community mental health treatment in lieu of incarceration is sometimes offered. In addition, community treatment can be mandated, or "leveraged," as a condition of probation or parole. However, little is known about the characteristics and attitudes of persons who are and who are not leveraged into community...

We analyze the front structures evolving under the difference-differential equation ∂tCj = −Cj + C j−1 from initial conditions 0 6 Cj(0) 6 1 such that Cj(0) → 1 as j → ∞ sufficiently fast. We show that the velocity v(t) of the front converges to a constant value v∗ according to v(t) = v∗ − 3/(2λ∗t) + (3√π/2) Dλ∗/(λ∗Dt)3/2 + O(1/t2). Here v∗, λ∗ and D are determined by the properties of the equa...

The underlying idea of the ESOM [2] is to incorporate the topological neighborhood preserving property of Self-Organizing Map (SOM) and the convex-hull property (a global optimality) of TSP together. The learning rule of its generalized version is as follows: ! w j(t+ 1) = cj(t) [ ! w j(t) + j(t) ( ! x t !w j(t))] where !w j is the weight of jth neuron, !x t the input city coordinate, cj(t) the...

We present first results from the analysis of multi-epoch VLBI observations of the EGRET detected sources [9] in the CJ-F sample (Caltech Jodrell-Flat-spectrum, [10]). These objects form a subsample of 14 sources within the 293 AGN of the full CJ-F sample. 5 GHz VLBI snapshot observations of the CJ-F sources are continuously being performed in order to create a valid database for thorough stati...

We consider the Deligne-Simpson problem (DSP) (resp. the weak DSP): Give necessary and sufficient conditions upon the choice of the p + 1 conjugacy classes cj ⊂ gl(n,C) or Cj ⊂ GL(n,C) so that there exist irreducible (p+ 1)-tuples (resp. (p+ 1)-tuples with trivial centralizers) of matrices Aj ∈ cj with zero sum or of matrices Mj ∈ Cj whose product is I. The matrices Aj (resp. Mj) are interprete...