The paper investigates relationships between algebraic expressions and graphs. Using the decomposition method we generate special simultaneous systems of linear recurrences for sizes of graph expressions. We propose techniques which provide closed-form solutions for these systems.

UNLABELLED Both the standardized uptake value ratio (SUVR) and the Logan plot result in biased distribution volume ratios (DVRs) in ligand-receptor dynamic PET studies. The objective of this study was to use a recently developed relative equilibrium-based graphical (RE) plot method to improve and simplify the 2 commonly used methods for quantification of (11)C-Pittsburgh compound B ((11)C-PiB) ...

An algorithm has been developed using Matlab that takes an image of a sketch of one or more functions, plotted on the xand yaxes, and converts it into an electronic plot, along with the set of equations and parameters that recreate the same plot. This is accomplished by extraction of the plot data, followed by data grouping based on three different heuristic methods (colour, slope and process o...

The design of an interactive narrative begins with the choice of a type of story. In this paper I examine the potential of three kinds of plot for active user participation: the epic plot, which focuses on the struggle of the individual to survive in a hostile world, the dramatic plot, which deals with the evolution of a network of human relations, and the epistemic plot, which is propelled by ...

The Virtual Storyteller is a framework for story creation by co-operating intelligent agents. In this framework, a collection of agents is responsible for the creation of different story levels: plot, narrative, and presentation. In the Virtual Storyteller, plots are automatically created based on the actions of autonomous characters whose plot creation is only constrained by general plot requi...

Article history: Received 5 October 2010 Received in revised form 28 March 2011 Accepted 14 April 2011 Available online 20 April 2011

Article history: Received 8 April 2013 Received in revised form 2 June 2014 Accepted 18 June 2014 Available online 8 July 2014 Communicated by H. Prodinger

We derive simple linear, inhomogeneous recurrences for the variance of the index by utilising the fact that the generating function for the distribution of the number of positive eigenvalues of a Gaussian unitary ensemble is a τ-function of the fourth Painlevé equation. From this we deduce a simple summation formula, several integral representations and finally an exact hypergeometric function ...