Combinatorics, Probability & Computing / Volume 11 / Issue 01 / January 2002, pp 61 78 DOI: 10.1017/S0963548301005016, Published online: 14 February 2002 Link to this article: http://journals.cambridge.org/abstract_S0963548301005016 How to cite this article: E. MANSTAVICIUS (2002). Mappings on Decomposable Combinatorial Structures: Analytic Approach. Combinatorics, Probability & Computing, 11, ...

We develop an analytic approach to two-dimensional flow separation control by feedback. With two wall-based actuators enclosing an array of distributed wall-shear sensors, we control the wall-shear evolution equation through its boundary values at the actuators. Using this approach, we induce separation at prescribed locations in steady and unsteady channel flows, and reduce the recirculation l...

OBJECTIVES To identify empirical subtypes of schizophrenia, based upon the symptoms recorded over the duration of the illness, and to validate the resulting clusters against other systems that are used for subtyping schizophrenia. METHOD Data for 55 symptoms of schizophrenia over the history of the illness from 107 chronic schizophrenia patients were analyzed using hierarchical cluster analys...

In recent years there has been a growing interest in the role of networks and clusters in the global economy. Despite being a popular research topic in economics, sociology and urban studies, geographical clustering of human activity has often studied been by means of predetermined geographical units such as administrative divisions and metropolitan areas. This approach is intrinsically time in...

We discuss the resummation approach in QCD Analytic Perturbation Theory (APT). We start with a simple example of asymptotic power series for a zero-dimensional analog of the scalar g φ4 model. Then we give a short historic preamble of APT and show that renormgroup improvement of the QCD perturbation theory dictates to use the Fractional APT (FAPT). After that we discuss the (F)APT resummation o...

Fredman and Knuth have treated certain recurrences, such as M(O) 1 and M(n + 1) min (aM(k) + 3M(nk)) O 1, by means of auxiliary recurrences such as J" 0 if 0 _< x < 1, h(x) l+h(x/cz)+h(x//) ifl_<x< The asymptotic behavior of h(x) as x oo with a and 3 fixed depends on whether log a/logf is rational or irrational. The solution of Fredman and Knuth used analytic methods in bo...

Transmission Reliability Margin (TRM) is the component of available transfer capability that accounts for uncertainties and safety margins. We suggest an analytic framework for TRM calculation using transfer capability sensitivity formulas and a probabilistic characterization of the various uncertainties. Preliminary results on a simple example show how we plan to test the TRM calculation and v...

In the commonly adopted data models (as ins entity-relationship data model 111, for example) an attribute is a mapping between an entity set or a relationship set and a value set. The intension of a mapping property is given implicitly or explicitly in the data models, but the extension can be generally represented by the set I), as in the relational model. We propose an alternati...

A particular kind of quintessence is considered, with equation of motion pQ/ρQ = −1, corresponding to a cosmological term with time-dependence Λ(t) = Λ(t0)(R(t0)/R(t)) which we examine initially for 0 ≤ P < 3. Energy conservation is imposed, as is consistency with big-bang nucleosynthesis, and the range of allowed P is thereby much restricted to 0 ≤ P < 0.2. The position of the first Doppler pe...

Solving analytic systems using inversion can be implemented in a variety of ways. One method is to use Lagrange inversion and variations. Here we present a different approach, based on dual vector fields. For a function analytic in a neighborhood of the origin in the complex plane, we associate a vector field and its dual, an operator version of Fourier transform. The construction extends natur...