We study the orthogonal polynomial expansion on sparse grids for a function of d variables in a weighted L space. A fast algorithm is developed to compute the orthogonal polynomial expansion by combining the fast cosine transform, a fast transform from the Chebyshev orthogonal polynomial basis to the orthogonal polynomial basis for the weighted L space, and a fast algorithm of computing hierarc...

Seeding heuristics are the most widely used strategies to speed up sequence alignment in bioinformatics. Such strategies are most successful if they are calibrated, so that the speed-versus-accuracy trade-off can be properly tuned. In the widely used case of read mapping, it has been so far impossible to predict the success rate of competing seeding strategies for lack of a theoretical framewor...

We present an analytic expression for the axis ratio distributions of triaxial dark matter halos. The ellipticity of a dark halo develops as a consequence of the filamentary nature of the cosmic web induced by the initial coherent tidal interactions. Adopting the picture, we derive both the minor-to-major and the conditional intermediate-to-major axis ratio distributions, and examine how they d...

This study analyzes how accumulation of knowledge takes place in para-scientific area, focusing on the case of Analytic Philosophy. The theoretical framework chosen for the analysis is Kuhn’s theory of normal science. The methodology employed is qualitative citation context analysis. A sample of 60 papers published in leading Analytic Philosophy journals between 1950 and 2009 is analyzed, and a...

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...

The present article discusses the concepts of having a goal and of goal-directed behavior from a behavior-analytic perspective. In clinical psychology as well as in the study of human behavior at large, goals delineate an important area of investigation when it comes to health, well-being, and behavioral change. While concepts like goals and goal-directed behavior may be more frequently used ou...

Many years ago in paper [1] some special set-theoretical operation ∆K was introduced. It was used to reduce manipulations with phase prefactors in the Fock space ( Grassmann algebra) to pure set theoretical ones. More detailed discussion of this operation was given in [2], Appendix A. The main purpose of this paper is to show that the operation mentioned makes it easy to obtain very complicated...

BACKGROUND Since Berger's first EEG recordings in 1929, several techniques, initially developed for investigating periodic processes, have been applied to study non-periodic event-related brain state dynamics. NEW METHOD We provide a theoretical comparison of the two approaches and present a new suite of data-driven analytic tools for the specific identification of the brain microstates in hi...

We find a principle of harmonic analyticity underlying the quaternionic (quaternionKähler) geometry and solve the differential constraints which define this geometry. To this end the original 4n-dimensional quaternionic manifold is extended to a biharmonic space. The latter includes additional harmonic coordinates associated with both the tangent local Sp(1) group and an extra rigid SU(2) group...