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Studies on `strange' particle production have always occupied a veryimportant space in the domain of Particle Physics. This was and is so, justbecause of some conjectures about specially abundant or excess production of`strange' particles, at certain stages and under certain conditions arising outof what goes by the name of `Standard' model in Particle Physics. With the helpof Hagedornian power laws we have attempted to understand and interpret herethe nature of the $p_T$-spectra for the strange particle production in a fewhigh energy nuclear collisions, some interesting ratio-behaviours and thecharacteristics of the nuclear modification factors that are measured inlaboratory experiments. After obtaining and analysing the final results we donot confront any peculiarities or oddities or extraneous excesses in theproperties of the relevant observables with no left-over problems or puzzles.The model(s) used by us work(s) quite well for explaining the measured data.

Characteristics of Strange Hadron Production in Some High Energy Collisions and The Role of Power Laws