[{"word":"bilinear","phonetics":[],"meanings":[{"partOfSpeech":"noun","definitions":[{"definition":"A bilinear function.","synonyms":[],"antonyms":[]}],"synonyms":[],"antonyms":[]},{"partOfSpeech":"adjective","definitions":[{"definition":"(of a function in two variables) Linear (preserving linear combinations) in each variable.","synonyms":[],"antonyms":[],"example":"The function f(x,y)=xy is bilinear, because f(ax+bu,y)=af(x,y)+bf(u,y) and f(x,ay+bv)=af(x,y)+bf(x,v) for all values."},{"definition":"Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions).","synonyms":[],"antonyms":[],"example":"bilinear isotropic hardening"}],"synonyms":[],"antonyms":[]}],"license":{"name":"CC BY-SA 3.0","url":"https://creativecommons.org/licenses/by-sa/3.0"},"sourceUrls":["https://en.wiktionary.org/wiki/bilinear"]}]