As well known, the b-boundaries of the closed Friedman world model and of Schwarzschild solution consist of a single point. We study this phenomenon in a broader context of differential and structured spaces. We show that it is an equivalence relation ρ, defined on the Cauchy completed total space Ē of the frame bundle over a given space-time, that is responsible for this pathology. A singulari...

Point processes are important in extreme value theory due to their equivalent formulations of two popular models various applications: the block maxima and peak-over-threshold model. a metric space provide tools analyze heavy-tailed phenomena that appear research extremal behaviors functional data. To facilitate these applications point processes, equivalence between weak convergence MO-converg...

Short cut fusion is a particular program transformation technique which uses a single, local transformation — called the foldr-build rule — to remove certain intermediate lists from modularly constructed functional programs. Arguments that short cut fusion is correct typically appeal either to intuition or to “free theorems” — even though the latter have not been known to hold for the languages...

I contemplate the possibility that the mismatch between the maximally symmetric point (the free fermionic point) and the strictly self–dual point in the Narain moduli space plays a role in the string vacuum selection. The role of self–duality in the recent formulation of quantum mechanics from an equivalence postulate, and the new perspective that it offers on the foundations of quantum gravity...

A fast prediction method is proposed for calculating the sound scattering of targets in deep-sea acoustic channel by equating field a complex elastic target to excited directional point source. In conditions, effects sea surface on impedance characteristics can be ignored. Through finite element simulation free field, equated radiation Subsequently, source placed channel, and ray used calculate...