For spatially dependent functional data, a generalized Karhunen-Lo\`{e}ve expansion is commonly used to decompose data into an additive form of temporal components and correlated coefficients. This structure provides convenient model investigate the space-time interactions, but may not hold for complex spatio-temporal processes. In this work, we introduce concept weak separability, propose form...

Investigation of shocked materials provides unique information about behavior substances in extreme thermodynamic conditions. Near surface nuclear tests have induced multiple transformations affected soils. Examination glasses and relics entrapped minerals a database on their under an intense temperature flash. In this work, several types fallout particles from historic at the Semipalatinsk tes...