We prove that the grand canonical Gibbs state of an interacting quantum Bose gas converges to measure a nonlinear Schrödinger equation in mean-field limit, where density becomes large and interaction strength is proportional inverse density. Our results hold dimensions <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="d less-than-or-sl...

the main objective of this study was to investigate how months cluster in any thermal regions based on temperature. for this purpose, the mean of daily temperature data have been provided using 620 synoptic and climatology stations. then, mean temperature was converted for any station, based on solar calendar, and maps of mean daily temperature have been interpolated using kriging method. spati...