This paper uses univariate and multivariate singular spectrum analysis for predicting the value and the direction of changes in the daily pound / dollar exchange rate. To perform the forecast, we also use the daily dollar exchange rates with respect to Euro and Japanese yen. We use the random walk model as a benchmark model to evaluate performances of the singular spectrum analysis as a predict...

How can we navigate complex power dynamics in our every-day interactions, while sourcing collective powers for a just transition to equitable, regenerative economies where all get be alive, well, and free? disrupt the politics of trauma cultivate flourishing? This article explores how an inner-compass, “Vitality Triangle,” help us meet these challenges by living questions embodying, embedding, ...

1. TANGENT SPHERES. Any four mutually tangent spheres determine six points of tangency. We say that a pair of tangencies {ti , t j } is opposite if the two spheres determining ti are distinct from the two spheres determining t j . Thus the six tangencies are naturally grouped into three opposite pairs, corresponding to the three ways of partitioning the four spheres into two pairs. Altshiller-C...

Vertex-colorings, edge-colorings and total-colorings of the Sierpiński gasket graphs Sn, the Sierpiński graphs S(n, k), graphs S (n, k), and graphs S(n, k) are considered. In particular, χ′′(Sn), χ (S(n, k)), χ(S(n, k)), χ(S(n, k)), χ(S(n, k)), and χ(S(n, k)) are determined.

We describe a new hybrid approach to modeling and animating animals. A pre–defined skin is modeled as a triangle mesh, such as may be purchased from a digital model vendor, or generated with a typical modeling program. This skin is then attached to the underlying bone, muscle, and tissue model. The rest shape of the skin is exactly as given in the surface model of the animal. Internal component...