We find solutions of the Yang-Mills field equations with gauge group SU(2) in 4k dimensions which have the interpretation of four-dimensional instantons at angles. These configurations satisfy a BPS-like condition which arises in the context of two-dimensional (4,0)-supersymmetric sigma models. Moreover we show that these solutions are examples of Hermitian-Einstein connections on E. In the pas...

This paper is an attempt to attack the problem of genre classification of music from a variety of angles. Three different types of data (song previews, album artwork, and lyrics) are used to train three models (a Recurrent Neural Network, k-Nearest Neighbors, and Naive Bayes, respectively) and the outputs of the three are again combined to classify a given song. The combined model was able to a...

A spherical polyhedron surface is a triangulated surface obtained by isometric gluing of spherical triangles. For instance, the boundary of a generic convex polytope in the 3sphere is a spherical polyhedron surface. This paper investigates these surfaces from the point of view of inner angles. A rigidity result is obtained. A characterization of spherical polyhedron surfaces in terms of the tri...

Given a Delaunay decomposition of a compact hyperbolic surface, one may record the topological data of the decomposition, together with the intersection angles between the “empty disks” circumscribing the regions of the decomposition. The main result of this paper is a characterization of when a given topological decomposition and angle assignment can be realized as the data of an actual Delaun...

We prove that, if u is a function satisfying all Euler conditions for the Mumford-Shah functional and the discontinuity set of u is given by three line segments meeting at the origin with equal angles, then there exists a neighbourhood U of the origin such that u is a minimizer of the Mumford-Shah functional on U with respect to its own boundary conditions on ∂U . The proof is obtained by using...

4. Single particles and angular reconstitution 323 4.1 Preliminary filtering and centring of data 323 4.2 Alignments using correlation functions 324 4.3 Choice of first reference images 324 4.4 Multi-reference alignment of data 325 4.5 MSA eigenvector/eigenvalue data compression 328 4.6 MSA classification 330 4.7 Euler angle determination (‘ angular reconstitution ’) 332 4.8 Sinograms and sinog...

In this paper, the perturbation method and Padé transformation are used to provide an approximate solution of elliptic integrals of the second kind and of complete integrals of the first kind. Besides, we used the obtained results to calculate an analytic expression for the period of a simple pendulum. The method has an acceptable accuracy for high values of the initial amplitude, compared to t...

Because of the limitations hardware devices, such as sensors, processing capacity, and high accuracy altitude control equipment, traditional optical remote sensing (RS) imageries capture information regarding same scene from mostly one single angle or a very small number angles. Nowadays, with video satellites coming into service, obtaining more-or-less continuous array angles has become realit...

Increasing the efficiency, frequency, and speed of rail defect detection can reduce maintenance costs improve sustainability railways. The non-contact eddy current (EC) system be operated along with a railcar for detecting flaws. Even if EC utilized identification characterization, commercial devices are not sufficient classification on rails by providing highly sensitive signals post-processin...

Sommerville and Davies classified the spherical triangles that can tile the sphere in an edge-to-edge fashion. However, if the edge-to-edge restriction is relaxed, there are other such triangles; here, we continue the classification of right triangles with this property begun in our earlier papers. We consider six families of triangles classified as “asymptotically obtuse”, and show that they c...