We calculate the coefficients of the leading non-global logarithms for the hemisphere mass distribution analytically at 3, 4, and 5 loops at large Nc. We confirm that the integrand derived with the strong-energy-ordering approximation and fixed-order iteration of the Banfi-Marchesini-Syme (BMS) equation agree. Our calculation exploits a hidden PSL(2,R) symmetry associated with the jet direction...

For a GARCH(1,1) sequence or an AR(1) model with ARCH(1) errors, it is known that the observations have a heavy tail and the tail index is determined by an estimating equation. Therefore, one can estimate the tail index by solving the estimating equation with unknown parameters replaced by quasi maximum likelihood estimation (QMLE), and profile empirical likelihood method can be employed to eff...

where 2* = 2 N / ( N 2) is the critical Sobolev exponent for the embedding H’(52) C L2* (0). Criticality and subcriticality play important rBles concerning the solvability of equation (1.1). Using (by now classical) variational methods one sees that equation (1.1) is solvable i f f has subcritical growth (and satisfies some additional hypotheses), while for f(u) = IuIP-~u the well-known Pohoiae...

In order to estimate the location of an indoor mobile station (MS), estimated time-of-arrival (TOA) can be obtained at each of several access points (APs). These TOA estimates can then be used to solve for the location of the MS. Alternatively, it is possible to estimate the location of the MS directly by incorporating the received signals at all APs in a direct estimator of position. This arti...

The modulated scattering antenna array (MSAA) is composed of one normal antenna element and several modulated scattering elements (MSEs). In this report, a 2-element MSAA is used as the receiving antenna in 2 × 2 multiple input multiple output (MIMO) system. MIMO performance of MSAA with various array spacing is measured to investigate the relation between the array spacing and the MIMO perform...

We consider the 3d dual of 1 + 1 dimensional large-Nc QCD with quarks in the fundamental representation, also known as the ’t Hooft model. ’t Hooft solved this model by deriving a Schrödinger equation for the wavefunction of a parton inside the meson. In the scale-invariant limit, we show how this equation is related by a transform to the equation of motion for a scalar field in AdS3. We thus f...

BACKGROUND The purpose of this longitudinal study was to establish an equation to predict incremental mandibular length on the basis of the analysis of the cervical vertebrae on a single cephalometric radiograph and to compare the predictive accuracy with the method by Mito et al. METHODS Data consist of a group of 33 Iranian girls, 9 to 11 years old with two lateral cephalometric radiographs...

Решаване на линейни системи чиито входни данни са рационални функции на интервални параметри Евгения Д. Попова Abstract. sn this p—per we investig—te the —ppli™—tion of — selfEveried gener—lEpurpose parametric xedEpoint iter—tion method to line—r systems involving nonline—r dependen™iesF „he in™lusion method is ™om˜ined with — simple interv—l —rithmeti™ te™hnique providing inner —nd outer ˜ound...