Researchers have solved a long-standing problem in topology by helping classify four-dimensional shapes (4-manifolds) that ...

The 4-dimensional Hartmann function is multimodal. It is given here in the form of Picheny et al. (2012), having a mean of zero and a variance of one. The authors ...

Dr. Mirmoosa, the lead researcher in this study, explains, "Four-dimensional quantum optics is the next logical step, allowing us to explore the implications of this area for quantum technology.