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Constructing paths to avoid multiple obstacles
This article deals with the issues of modeling the trajectory of an object moving on a plane. Its trajectory may intersect with obstacles (circles). The author proposes an algorithm for modifying the initial trajectory of the object taking into account the movement of obstacles. At the beginning, we describe how to divide the initial trajectory into sections. Then we describe how to modify the line on each segment in two cases, depending on the angle between the projection direction and the direction of movement of the obstacle center.
Journal Article
Reducts in single valued neutrosophic ß-covering approximation spaces
The problem of reducts is an interesting issue in all rough set models. In this paper, we propose the concept of the reduct in a single valued neutrosophic β-covering approximation space (SVN-β-CAS). Moreover, reducts in SVN-β-CASs are investigated while adding and removing some objects of the universe, respectively. Firstly, the notion of the reduct in a SVN-β-CAS is presented. It can be seen as the generalization of the reduct in covering and fuzzy β-covering approximation spaces. Then, two new SVN-β-CASs are presented while adding and removing some objects of the original universe. Finally, some properties of reducts of SVN β-coverings are investigated while adding and removing some objects, respectively.
Journal Article
On perturbative unitarity in the extended MSSM Higgs sector
Higgs sector of the minimal supersymmetric standard model (MSSM) extended by dimension-six operators, which are loop contributions in the expansion of the Coleman-Weinberg type potential, is considered. The presence of such additional contributions allows the reopening of phenomenological MSSM scenarios closed in the previous analysis. In order to restrict respective MSSM parameter regions, perturbative unitarity constraints must be satisfied. We find the analytical formula for quartic and trilinear couplings for the Higgs potential extended by dimension-six operators, compare results with the loop corrected constraints at high or finite s with and without additional U(6)-contributions, and show how the allowed regions in the parameter space are affected in these cases.
Journal Article
Research on the Evaluation Model and Method of \Generaliztion, Serialization, Combination\ Degree of Naval Gun
In China, there are some problems about the degree evaluation of \"generaliztion, serialization, combination\" of naval gun, such as the lack of inheritance, the incompleteness of the standard evaluation system, the limitation of the evaluation scheme, and the disunity of the evaluation standard system. In order to solve this problem, this paper established of the degree evaluation model and method of \"generaliztion, serialization, combination\" of naval gun, by which define the coefficient of generalized number of pieces and the coefficient of generalized type spectrum. This method provides certain data support for the development and production of naval gun series.
Journal Article
Self-attention Networks for Speaker Identification with Negative-Focused Triplet Loss
In this paper, a model based on self-attention for text-independent speaker identification task is proposed. Traditional CNNs are expert at capturing local features but are inefficient when capturing long-range dependencies. The self-attention helps to capture long-range dependency more efficiently and requires less parameters. Besides, based on Triplet Loss and inspired by Weighted Triplet Loss, we propose a novel loss function for speaker identification task, named Negative-Focused Triplet Loss, which makes the training process more efficient and effective. To evaluate the performance of our model, the experiments are conducted on Voxceleb dataset, and we achieve Top-1 accuracy of 90.3% and Top-5 accuracy of 96.9%, which are competitive with the previous state-of-the-art performance. Without any hard sample selecting operation, we achieve better result than the baseline method that uses Cluster-Range Loss or Triplet Loss, which demonstrates the high efficiency of our proposed approach.
Journal Article
The Hussein–McVoy formula for inclusive breakup revisited
In 1985, Hussein and McVoy [Nuc. Phys. A445 (1985) 124] elucidated a formula for the evaluation of the nonelastic breakup (“stripping”) contribution in inclusive breakup reactions. The formula, based on the spectator core model, acquires a particularly simple and appealing form in the eikonal limit, to the extent that it has become the standard procedure to analyze single-nucleon knockout reactions at intermediate energies. In this contribution, a critical assessment of this formula is presented and its connection with other, noneikonal expressions discussed. Some calculations comparing the different formulae are also presented for the one-nucleon removal of 14O+9Be reaction at several incident energies.
Journal Article
Explicit isometric embeddings of pseudo-Riemannian manifolds: ideas and applications
We study the problem of construction of explicit isometric embeddings of (pseudo)-Riemannian manifolds. We discuss the method, which is based on the idea that the exterior symmetry of the embedded surface and the interior symmetry of its metric must be the same. In case of high enough symmetry of the metric such method allows transforming the expression for induced metric, which is the one to be solved in order to construct an embedding, into a system of ODEs. It turns out that this method can be generalized to allow the surface to have lower symmetry as long as the above simplification occurs. This generalization can be used in the construction of embeddings for metrics, whose symmetry group is hard to analyze, and the construction of the isometrically deformed (bent) surface. We give some examples of the application of this method. In particular, we construct the embedding of spatially-flat Friedmann model and isometric bendings of a sphere, 3-sphere, and squashed AdS universe, which is related to the Godel universe.
Journal Article