Loglinear modeling methods have become quite straightforward to apply to discrete data X. A good-fitting loglinear model can be used to generate synthetic copies of X1, ..., Xn of X that preserve analytic properties but may allow reidentification of small cells. With fitting algorithms that use more general convex constraints and are designed to deal with missing data, we are able to disperse t...

In order to produce convincing renders of woven cloth, it is not only necessary to properly simulate the physics of cloth, but also its texture. Because cloth often consists of very specular fibers, exhibits both smalland large-scale detail, and is modulated by view and light directions in an unusual manner, it is very hard to simulate with simple texture maps. Moreover, it is currently infeasi...

To operate under a new value-based paradigm, oncology providers must develop the capability to aggregate, analyze, measure, and report their value proposition--that is, their outcomes and associated costs. How are oncology providers positioned currently to perform these functions in a manner that is actionable? What is the current state of analytic capabilities in oncology? Are oncology provide...

Incorporating promising techniques, including buffering, priority, de-allocation, preemption, and threshold control on the buffer into the resource allocation design for the general packet radio service (GPRS) network, four resource allocation strategies are proposed in this paper, i.e., strategies RAS1, RAS2, RASth1, and RASth2. For the four strategies, analytic models are built to obtain perf...

We use Lie point symmetries of the 2+1-dimensional cubic Schrödinger equation to obtain new analytic solutions in a systematic manner. We present an analysis of the reduced ODEs, and in particular show that although the original equation is not integrable they typically can belong to the class of Painlevé type equations.

The evolution of physical and gauge degrees of freedom in the Einstein and Yang-Mills theories are separated in a gauge-invariant manner. We show that the equations of motion of these theories can always be written in fluxconservative first-order symmetric hyperbolic form. This dynamical form is ideal for global analysis, analytic approximation methods such as gaugeinvariant perturbation theory...

Complex analyticity is generalized to hypercomplex functions, quaternion or octonion, in such a manner that it includes the standard complex definition and does not reduce analytic functions to a trivial class. A brief comparison with other definitions is presented. 1991 Mathematics Subject Classifications: 11R52, 30G35, 46S20.

In this paper we present an algebraic approach that describes the structure of analytic objects in a unified manner in the case when their transformations satisfy certain conditions of categorical character. We demonstrate this approach on examples of functional, differential, and functional differential equations.