I’ve been learning about the interactions between number theory and group theory ... which is 1-dimensional because it takes just one number to describe the rotation-invariant aspects of the shape of ...

Lyapunov-Schmidt reduction skills combined with center manifold theory are applied to discuss the stability of bifurcating periodical solutions arising from Hopf points. In addition, DDE-Biftool ...

In the supervised stage, we designed the global Fourier block (GFB) to expand the receptive field and promote information exchange, used the implicit prior-based discriminator to boost the fidelity, ...

While continuing to seek an UV-complete theory of either General Relativity (GR) or one of its possible extensions (Polchinski, 1998; Rovelli, 2004; Modesto, 2012; Modesto and Rachwal, 2014), an ...