INTRODUCTION OF EIO MODEL IN TLS METHOD TO CALCULATE THE COORDINATES TRANSFORMATION BY HELMERT’S FORMULA

The EIO (Errors In Observations) model is used in the total least squares method to calculate, process geodetic data. Next to the classical least squares method, it is applied to solve more solutions. When we use the EIO model in calculus and process, performing a matrix inverse has a large dimension will be avoided. Moreover, the calculation and accuracy evaluation steps are based on the iterative algorithm to get the results. In this paper, the authors use the procedure of calculating and evaluating the accuracy of the EIO model in the experimental calculation of the coordinate transformation according to the Helmert formula

Conceptual foundations for the development of developing software systems using multivariate synthesis of design solutions

Considering software systems as developing, changing their structure and characteristics during the entire process of development, implementation and operation is an important task. The difficulties that arise in this case, associated with the large dimension of combinatorial problems that arise in the process of studying software systems, taking into account the dynamics of their development, it is advisable to overcome on the basis of using methods of multivariate synthesis, with the help of which a multi-stage approach to solving emerging problems is formed, including evaluating the effectiveness of the solution at each stage.

Four-point correlation modular bootstrap for OPE densities

In this work we apply the lightcone bootstrap to a four-point function of scalars in two-dimensional conformal field theory. We include the entire Virasoro symmetry and consider non-rational theories with a gap in the spectrum from the vacuum and no conserved currents. For those theories, we compute the large dimension limit (h/c ≫ 1) of the OPE spectral decomposition of the Virasoro vacuum. We then propose a kernel ansatz that generalizes the spectral decomposition beyond h/c ≫ 1. Finally, we estimate the corrections to the OPE spectral densities from the inclusion of the lightest operator in the spectrum.

SYMMETRIC FINITE REPRESENTABILITY OF ℓp IN ORLICZ SPACES

It is well known that a Banach space need not contain any subspace isomorphic to a space ℓp (1 6 p ) or c0 (it was shown by Tsirelson in 1974). At the same time, by the famous Krivines theorem, every Banach space X always contains at least one of these spaces locally, i.e., there exist finite-dimensional subspaces of X of arbitrarily large dimension n which are isomorphic (uniformly) to ℓnp for some 1 6 p or cn0 . In thiscase one says that ℓp (resp. c0) is finitely representable in X. The main purpose of this paper is to give a characterization (with a complete proof) of the set of p such that ℓp is symmetrically finitely representable in a separable Orlicz space.

The swampland at large number of space-time dimensions

We discuss some aspects of swampland constraints — especially the swamp-land distance conjecture — in a large number of space-time dimensions D. We analyze Kaluza-Klein (KK) states at large D and find that some KK spectra possess an interesting dependence on D. On the basis of these observations we propose a new large dimension conjecture. We apply it to KK states of compactifications to anti-de Sitter backgrounds where it predicts an upper bound on the dimension of space-time as a function of its characteristic radius. We also apply our conjecture to black hole spacetimes, whose entropies have a D-dependence very similar to that of the KK spectrum.

Production of valuable oak wood in Europe

Large dimension branch free wood of pedunculate oak (Quercus robur L.) and sessile oak (Q. petraea (Matt.) Liebl.) is highly valued, while small sized and low-quality oak timber generate little income. This paper describes how large dimensions of branch free wood can be produced by applying appropriate silvicultural measures. The results are based on measurements of oak trees in various regions in Germany and Denmark. Two management phases are distinguished: In phase 1 pruning is emphasized and at the beginning of phase 2 future crop trees are selected to promote diameter growth of these oak trees. The resulting guidelines provide a quantitative basis for objective-oriented oak management.