transform -- (subject to a mathematical transformation)
transform, transmute, transubstantiate -- (change or alter in form, appearance, or nature; "This experience transformed her completely"; "She transformed the clay into a beautiful sculpture"; "transubstantiate one element into another")
transform, transmute, metamorphose -- (change in outward structure or looks; "He transformed into a monster"; "The salesman metamorphosed into an ugly beetle")
translate, transform -- (change from one form or medium into another; "Braque translated collage into oil")
transform -- (convert (one form of energy) to another; "transform energy to light")
transform -- (change (a bacterial cell) into a genetically distinct cell by the introduction of DNA from another cell of the same or closely related species)
transform -- (increase or decrease (an alternating current or voltage))