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bilinear

bilinear

1 9.9
Linear in each of two variables when the other is fixed
  • adjective
  • /ˌbɪlɪˈnɪər/
  • Specialized
: bilineal
  • The digital filters are bilinear transformations of the analog transfer functions, with the crossover frequency a parameter of the hearing aid simulation.
  • bilinear response

Examples

  • Most of the curves display a bilinear shape, which is in agreement with the shape of FRP wrap-confined concrete 43.

    Academic text (2018)
  • On a square, we really include the bilinear term dxy.

  • And this one that I'm lifting is the bilinear transformation.

  • The two specimens showed a nearly bilinear response of under-reinforced concrete beams.

    Academic text (2018)
  • Bilinear models

    Academic text (2008)
  • Bilinear interpolation is then used to distribute the value of the mapped sample to the neighboring 4 pixels (13).

    Academic text (1997)
  • As seen from Fig. 9b, solid beam BC-N-CPL showed the nearly bilinear load-deflection response of under-reinforced concrete beams.

    Academic text (2018)
  • Resnet DUC for dance upsampling convolution instead of bilinear upsampling, you make the upsampling learnable.

  • The resultant receiver equivalent circuit model is very complicated, so a frequency-sampling approach (7) was used to generate the time-domain response instead of an analytical technique such as the bilinear transformation.

    Academic text (1990)
  • The analysis revealed a bilinear relationship between the two variables when one was held constant.

Synonyms

multilinear
vsbilinear
  • Specialized
1 8.5

A rule where the output changes at a fixed rate with each input when others stay fixed

refers only to functions linear in exactly two variables

Surface Forms

bilinear positive

Morphology

bilinear = linear (transparent) = bi + linear

Formed by productive prefixation of 'bi-' (two) to the adjective 'linear'; the mathematical meaning 'linear in each of two variables' is a direct compositional extension.

Etymology

Bilinear comes from the prefix bi- meaning 'two' and linear from 'line', as in the familiar word bicycle and the simple word line. So a bilinear rule is like two 'line-like' rules at once: it is linear in each of two variables when the other is kept fixed.