Bilinlike
Bilinlike is a term used to describe objects or maps that resemble bilinearity, either exactly or in a closely related sense. In its strict interpretation, a bilinlike map is one that behaves linearly in each argument separately and, in many contexts, exhibits additivity and homogeneity with respect to both inputs. More loosely, bilinlike can refer to functions that are nearly bilinear, where deviations from strict bilinearity are bounded or small in a given setting.
Etymology and usage. The word combines bi-, meaning two, with linear and the suffix -like, signaling resemblance.
Formal features. In a common framework, a map f: V × W → X is bilinear if it
Examples and connections. The canonical bilinear forms, such as the dot product or a bilinear form defined
See also. Bilinear form, Bilinear map, Multilinear map, Tensor product, Linearity.
Notes. The term bilinlike is not universally standardized; consult specific texts for the intended level of