Such an idea is that of successive existence. We must, therefore, conceive that there is a new three-dimensional space for each successive instant of time; and, by picturing to ourselves the ...

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 ...

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