distribution of magnetic fields in the quiet-sun internetwork areas has been affected by weak polarization (in particular stokes q and u) signals. to improve the signal-to-noise ratio (snr) of the weak polarization signals, several approaches, including temporal integrations, have been proposed in the literature. in this study, we aim to investigate a proper temporal-integration time with which...

We propose an implicit representation for the farthest Voronoi Diagram of a set P of n points in the plane lying outside a set R of m disjoint axes-parallel rectangular obstacles. The distances are measured according to the L1 shortest path (geodesic) metric. In particular, we design a data structure of size O(N) in O(N log N) time that supports O(N logN)-time farthest point queries (where N = ...

In this work we calculate two two-loop massless Feynman integrals pertaining to self-energy diagrams using NDIM (Negative Dimensional Integration Method). We show that the answer we get is 36-fold degenerate. We then consider special cases of exponents for propagators and the outcoming results compared with known ones obtained via traditional methods. PACS numbers: 02.90+p, 03.70+k, 12.38.Bx Sh...

Introduction. Gardiner [1] observed that “progress in achieving understanding through combustion modeling is now limited by the ability to recognize the implications of what has been computed and to draw conclusions about the underlying reaction mechanisms.” This paper considers how to use reaction path diagrams to better understand reacting flow simulations. We are not aware of any comprehensi...

Path planning, a topic of much interest in military planning, is largely treated as the task of finding the best path with respect to some criterion such as length, travel time, etc, for which efficient algorithms are already available. Military planning requires understanding enemy intentions and devising unexpected plans to fox the enemy which calls for not a best path, but a number of altern...

A systematic, language-independent method of finding a minimal set of paths covering the code of a sequential program is proposed for application in White Box testing. Execution of all paths from the set ensures also statement coverage. Execution fault marks problematic areas of the code. The method starts from a UML activity diagram of a program. The diagram is transformed into a directed grap...

Basic properties of Regge poles are reviewed. Regge poles are considered from both t-channel and s-channel points of view. The main part of the review is devoted to the Regge poles in QCD. The method of the Wilson-loop path integral is used to calculate trajectories of Regge poles for q − q̄ and gluonic states. The problem of the Pomeron in QCD is discussed in details. It is shown how to use the...

We mix together the Kontsevich integral, chord diagrams, Chinese characters, the Reshetikhin-Turaev knot invariants, the Poincare-Birkhoff-Witt theorem, the HarishChandra isomorphism, the Duflo isomorphism, the Kirillov formula and some minor Fourieranalysis computations. This enables us to make an intelligent guess for an exact formula for the Kontsevich integral of the unknot, and to conjectu...

We conjecture an exact formula for the Kontsevich integral of the unknot, and also conjecture a formula (also conjectured independently by Deligne [De]) for the relation between the two natural products on the space of uni-trivalent diagrams. The two formulas use the related notions of “Wheels” and “Wheeling”. We prove these formulas ‘on the level of Lie algebras’ using standard techniques from...