Using cocommutativity of the Hopf algebra of symmetric functions, certain skew Schur functions are proved to be equal. Some of these skew Schur function identities are new.

In this equation, n represents the number of Figures of Merit (FoMs) that are to be combined, xi represents the output of the scoring function for the ith FoM and wi represents the weight of importance assigned to the ith FoM. The Product Tradeoff Function is commonly used for example in computing cost to benefit ratios and in doing risk analyses. Unfortunately, the published equation on page 1...

We present a collocation method to obtain the approximate solution of Troesch's problem which arises in the confinement of a plasma column by radiation pressure and applied physics. By using the Christov rational functions and collocation points, this method transforms Troesch's problem into a system of nonlinear algebraic equations. The rate of convergence is shown to be exponential. The numer...

In this paper we propose a method to approximate a parametric 3 D-function by bicubic B-spline functions

Let S be a many sorted signature. A gate of S is an element of the operation symbols of S. Let A be a set and let f be a function. One can check that A 7−→ f is function yielding. Let f , g be non-empty functions. Observe that f +·g is non-empty. Let A, B be sets, let f be a many sorted set indexed by A, and let g be a many sorted set indexed by B. Then f +·g is a many sorted set indexed by A∪B...

Advances in technology equip tra c domain with instruments to gather and analyze data for safe and fuele cient traveling. This article elaborates on the e↵ects from taxi drivers route selection on fuel e ciency. We fuse real driving behavior data from taxi cabs, weather, and digital map information for fuel consumption prediction. That way we compare actually driven trips and their quickest and...

Latimer et al. (Reports, 9 September 2005, p. 1722) used an approximate likelihood function to estimate parameters of Hubbell's neutral model of biodiversity. Reanalysis with the exact likelihood not only yields different estimates but also shows that two similar likelihood maxima for very different parameter combinations can occur. This reveals a limitation of using species abundance data to g...

The range of dialectometric methods suggests the need for validation work. We propose a gold standard, based on the consensual classification of a well-studied area. Fidelity to the gold standard is assessed via matrix overlap measures (Rand and Fowlkes/Mallows). Word-based techniques in which varieties are compared to each other directly emerge as superior.

Autoregressive moving average (ARMA) models are useful statistical tools to examine the dynamical characteristics of ecological time-series data. Here, we illustrate the utility and challenges of applying ARMA (p,q) models, where p is the dimension of the autoregressive component of the model, and q is the dimension of the moving average component. We focus on parameter estimation and model sel...

Earlier this year, after three years of planning and negotiations, a collection of approximately 100,000 Inuit drawings and prints was transferred on loan from the West Baffin Eskimo Co-operative Ud. in the eastern Canadian Arctic to the McMichael Canadian Art Collection in southern Canada. The arrival of this collection marked the beginning of a multi-year co-operative project between the two ...