homeo-, homoeo-, homio-, [homoio-, British spelling] +
(Greek: same, like, resembling, sharing in common, similar, equal)
2. In mathematics: A function between two topological spaces that is continuous, one-to-one, and onto, and the inverse of which is continuous. Also called topological transformation.
3. A correspondence between the points of two geometric shapes or two spaces in which each element can be paired with one from the other without any remaining.
Homeopathy, historical background
Homeopathy was invented by the German physician Samuel Hahnemann (1755-1843) in the late 18th and early 19th centuries. It was both refined and popularized by the American physician James Tyler Kent.
Homeopathy is based on the theory that each naturally occurring element, plant, and mineral compound will, when ingested or applied, result in certain symptoms. Hahnemann believed that, by diluting these substances in a standardized manner, one could reach the true essence of that substance. Hahnemann described this process of dilution as "potentizing" (German: potenziert) the substance. These dilute amounts could then be used to treat the very symptoms they were known to produce.Hahnemann and his students approached their treatments in a holistic way, meaning that the whole of the body and spirit is dealt with, not just the localised disease. Hahnemann himself spent extended periods of time with his patients, asking them questions that dealt not only with their particular symptoms or illness, but also with the details of their daily lives.
It is also suggested that the gentle approach of homeopathy was a reaction to the violent forms of medicine of the day, which included techniques such as bleeding.
2. The formation of new tissue of the same character as that already existing in the part.
2. The competence or capacity of individuals in a group to act cooperatively to maintain an intended result: Homeostasis can be exemplified by the behaviour of insects, such as bees when they use their wings to regulate the temperature or cool down their hives.