Let the point-line geometry Γ = (P ,L) be a half-spin geometry of type Dn,n. Then, for every embedding of Γ in the projective space P(V ), where V is a vector space of dimension 2n−1, it is true that every hyperplane of Γ arises from that embedding. It follows that any embedding of this dimension is universal. There are no embeddings of higher dimension. A corollary of this result and the fact ...

In order to improve the performance of network traffic prediction model, a novel network traffic prediction model is proposed in this paper which embedding dimension and time delay of network traffic time series are jointly optimized by genetic algorithm. The optimail embedding dimension and time delay are used to establish the one-step and multi-step based on RBF neural network, finally, the s...

The interpretation of the series recorded by Laser Interferometer Gravitational Wave Observatory is a very important issue. Here we apply two methods widely used in study nonlinear dynamical systems, namely, calculation Takens’ dimension embedding and spectrum Kolmogorov’s complexity, to event GW150914. An increase former drop latter are observed, which consistent with appearance gravitational ...