We discuss conserved currents constructed from the Cotton tensor and (conformal) Killing-Yano tensors (KYTs). consider corresponding charges generally then exemplify with four-dimensional Pleba\'nski-Demia\'nski metric where they are proportional to sum of squares electric magnetic charges. As part derivation, we also find two conformal in recently introduced coordinates Podolsky Vratny. The co...

Abstract We focus on studying, numerically, the scalar curvature tensor in a two-dimensional discrete space. The continuous metric of two-sphere is transformed into that lattice using two possible slicings. In first, we use integers, while second consider case where one coordinates ignorable. numerical results both cases are then compared with expected values limit as number cells becomes very ...

Abstract We present a class of dynamical solutions for intersecting D4-D8 and D3-D7 brane systems in ten-dimensional type IIA and IIB supergravity. We discuss if these solutions can be recovered in lower-dimensional effective theories for the warped compactification of a general p-brane system. It is found that an effective p + 1-dimensional description is not possible in general due to the ent...

The main object of study will be the Hessian of the "input-output" map of a control system at a certain critical point (extremal of the system). Let us recall, therefore, the definition of the Hessian of a smooth map. Let r ~ § M be a smooth map of some smooth Banach manifold into a finite-dimensional manifold and let ~0 ~ ~. The differential of r at D0 is the linear map D$0~:TB0 ~ + T~(~0)M of...

Reconstructing a free-form surface from 3-dimensional noisy measurements is a central problem in inspection, statistical quality control, and reverse engineering. We present a new method for the statistical reconstruction of a free-form surface based on 3-dimensional cloud point data. The surface is represented parameterically, with each of the three cartesian coordinates (x, y, z) a function o...

The complex-scaling method can be used to calculate molecular resonances within the Born–Oppenheimer approximation, assuming that electronic coordinates are dilated independently of nuclear coordinates. With this method, one will complex energy a non-Hermitian Hamiltonian, whose real part is associated with resonance position and imaginary inverse lifetime. In study, we propose techniques simul...

It is well known that there is an open three-dimensional subvariety Ms of the Grassmannian of lines in P3 which parametrizes smooth irreducible complex surfaces of degree 4 which are Heisenberg invariant, and each quartic contains 32 lines but only 16 skew lines, being determined by its configuration of lines, are called a double 16. We consider here the problem of visualizing in a computer the...

While color-coding methods have improved the measuring efficiency of a structured light three-dimensional (3D) measurement system, they decreased the measuring accuracy significantly due to lateral chromatic aberration (LCA). In this study, the LCA in a structured light measurement system is analyzed, and a method is proposed to compensate the error caused by the LCA. Firstly, based on the proj...

OBJECTIVE The aim of the present study was to assess the diagnostic value of a laser scanner developed to determine the coordinates of clinical bracket points and to compare with the results of a coordinate measuring machine (CMM). METHODS This diagnostic experimental study was conducted on maxillary and mandibular orthodontic study casts of 18 adults with normal Class I occlusion. First, the...

This paper presents a novel approach to the cosmological constant problem by use of Clifford algebras space Cl3,0 and anti-space Cl0,3 with particular focus on paravector representation, emphasizing fact that both have center represented just two coordinates. Since representation allows assigning scalar element grade 0 time coordinate, we consider relativity in such two-dimensional spacetime fo...