# Definition of bilinear in US English:

## bilinear

Mathematics
• 1rare Relating to or contained by two straight lines.

• 2Relating to or denoting a function of two variables that is linear and homogeneous in both independently.

• ‘The method of Beard et al. involves a bilinear constraint on fluxes and free energies, resulting from implementation of the second law of thermodynamics.’
• ‘We did not explore the effects of the bilinear coupling model contribution to the free energy; our results strictly pertain to the cubic coupling model.’
• ‘According S3, this technique has the same memory bandwidth impact as bilinear filtering.’
• ‘Bromwich also made useful contributions to quadratic and bilinear forms and many consider his algebraic work to be his finest.’
• ‘Each image was shifted in the opposite direction, using bilinear interpolation to estimate the intensity of fractional pixel positions.’
• ‘Textures: Set to nearest point for fastest performance, or bilinear / trilinear for decent quality without too much of a performance hit.’
• ‘The intensity at each vertex was estimated with bilinear interpolation of the nearest four pixels.’
• ‘At least bilinear filtering makes texture maps look like globs of blurry pixels.’
• ‘The transfer velocities predicted by the bilinear steady wind relationship for U 10-1 are virtually identical to the theoretical predictions for transfer across a smooth surface.’
• ‘Along with a team of mathematicians, Gottman has developed what he calls bilinear influence functions.’
• ‘A bilinear coupling contribution should also be included if the solvent environments on opposite sides of the membrane are not identical.’
• ‘A bilinear model was fitted to the relationship between N AL and N IL, using the iterative optimization technique of TBL Curve.’
• ‘IBE uses bilinear mapping on elliptic curves to obtain an algorithm that can be used to turn a simple, well recognized identity or role into a public/private key pair.’
• ‘Similar to pollen germination, the modified bilinear function described the response of pollen tube length to temperature.’
• ‘He introduced and developed two fundamental methods, which could be briefly described as ‘the bilinear form technique’ and ‘the mean value theorem’.’
• ‘Some viewed this as a combination of bilinear and trilinear filtering and dubbed it ‘brilinear.’’
• ‘By utilizing the type III extreme pathways, the loop law can be implemented in flux balance without needing to perform a bilinear optimization.’
• ‘Twonode axisymmetric shell elements were used to discretize the cortical region bounding the cell, with two displacement and one rotation degree of freedom per node, consistent with the bilinear elements used for the cell interior.’
• ‘D' Ovidio also included in these lectures results of Veronese on projective geometry and of Weierstrass on bilinear and quadratic forms.’

## bilinear

/baɪˈlɪniər//bīˈlinēər/