warranty of qualitywastewater shield plasmawater volumewatery bodywavewave equationwave functionwave motionwave numberwave velocitywaveformwavelengthwavinesswaywaybillwe are given thatwe are thoughwe have found thatwe notice thatweakweak compactnessweak completenessweak convergenceweak converse theoremweak dualityweak inductionweak integralweak interactionweak law of large numbersweak minimumweak operator topologyweak orderweak order relationweak relationweak solutionweak topologyweak* topologyweakenweakened moodweaker topologyweaklyweakly continuous representationweakly convergent sequenceweakly integrable functionweakly measurable functionweakly order preservingweakly orderedweakly stationary processweakly symmetric riemannian space