Spatio-temporal index is one of the key technologies applied to spatio-temporal database engines. Methods for spatio-temporal indexes which consider efficiency of both temporal queries and spatial queries become hot topics in current research. In the versionincrement based spatio-temporal data model, “Version” is used to represent states of geographical phenomena, while “increment” changes of s...

In this paper, we study the almost sure scattering for Klein–Gordon equations with Sobolev critical power. We obtain random initial data in Hs×Hs−1,3d−14(d−1)<s<1 4≤d≤6. use induction on scales and bushes argument Bringmann (2018) where model equation is wave equation. For d=5,6, mass term of to control increment energy process scales.

In this study, we calculate the sensitivity reach on vector leptoquark (LQ) $U_1$ at experiments proposed in Forward Physics Facility (FPF), including FASER$\nu$, FASER$\nu2$, FLArE (10 tons), and (100 tons) using neutrino-nucleon scattering ($\nu N \rightarrow \nu N'$ $\nu l N'$). We cover a wide mass range of $10^{-3}$ GeV $\leq M_{LQ}\leq 10^4$ GeV. The new result shows that offers best to L...