In this note we provide an explicit example of type IIB supersymmetric D3-branes solution on a pp-wave like background, consisting in the product of an eight-dimensional pp-wave times a two-dimensional flat space. An interesting property of our solution is the fully localization of the D3-branes (i.e. the solution depends on all the transverse coordinates). Then we show the generalization to ot...

Abstract To solve the problem of joint calibration in multi-sensor information fusion, a technique based on three-dimensional lidar point cloud data and two-dimensional gray image is proposed. Firstly, by extracting corner data, coordinates were obtained, monocular camera was completed using information, its internal external parameters obtained. Then, obtained lidar, corresponding points are m...

In this thesis, computational methods are developed for measuring three-dimensional structure from image sequences. The measurement process contains several stages, in which the intensity information obtained from a moving video camera is transformed into three-dimensional spatial coordinates. The proposed approach utilizes either line or circular features, which are automatically observed from...

After introducing Wigner Quantum Systems, we give a short review of the one-dimensional Wigner Quantum Oscillator. Then we define the threedimensional N-particle Wigner Quantum Oscillator, and its relation to the Lie superalgebra sl(1|3N). In this framework (and first for N = 1), energy, coordinates, momentum and the angular momentum of the particles are investigated. Wigner Quantum Systems (WQ...

In the present paper, a three dimensional annular developing incompressible laminar flow through 270- degree curved pipe is numerically simulated. The dimensionless governing equations of continuity, momentums and energy are driven in toroidal coordinates. The governing equations are discretized by projection algorithm using forward difference in time and central difference in space. A three-di...

Abstract. This article is concerned with the infinite depth water wave equation in two space dimensions. We consider this problem expressed in position-velocity potential holomorphic coordinates. Viewing this problem as a quasilinear dispersive equation, we establish two results: (i) local well-posedness in Sobolev spaces, and (ii) almost global solutions for small localized data. Neither of th...

When doing regression with inputs and outputs that are high-dimensional, it often makes sense to reduce the dimensionality of the inputs before mapping to the outputs. Much work in statistics and machine learning, such as reduced-rank regression, sliced inverse regression and their variants, has focused on linear dimensionality reduction, or on estimating the dimensionality reduction first and ...