Water has memory! Or so says a popular snowman.
In case you are curious, here is a rigorous research paper on the topic. It is extremely hard to evaluate. Any researcher who would try to do this sort of research is immediately suspect, so it takes a certain type. But I see no reason to dismiss a priori.
See what you think (over 250 cites): Roy, R., Tiller, W. A., Bell, I., & Hoover, M. R. (2005). The structure of liquid water; novel insights from materials research; potential relevance to homeopathy. Materials Research Innovations, 9(4), 98-103.