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Bilinear

A bilinear function.

📖 Definitions of "Bilinear"

noun
  1. 1

    A bilinear function.

adjective
  1. 1

    (of a function in two variables) Linear (preserving linear combinations) in each variable.

    "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."

  2. 2

    Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions).

    "bilinear isotropic hardening"

🔄 Synonyms of "Bilinear"

2 synonyms found via WordNet and Google Books.

WordDefinition
additivenounA substance added to another substance or product to produce specific properties in the combined substance.
linearnounHaving the form of a line; straight or roughly straight; following a direct course.

💡 Words with a Similar Meaning to "Bilinear"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
linearnounHaving the form of a line; straight or roughly straight; following a direct course.
additive(mathematics) Pertaining to addition; that can be, or has been, added.
resamplingnoun(statistics) Any technique or instance of generating a new sample from an existing dataset.
multilinearnoun(mathematics, of a function etc) That is linear in each variable separately.
sesquilinearnoun(mathematics) (of a map of a complex vector space) Linear in one coordinate and conjugate linear in the other
dualCharacterized by having two (usually equivalent) components.
linear algebraicof, or relating to linear algebra
semilinearnoun(mathematics) Describing equations involving both linear and nonlinear objects
polylinearnoun(mathematics) Involving many linear functions
crosslinear(mathematics) Describing a linear function formed from two others
symplectic(mathematics, multilinear algebra, of a bilinear form) That is alternating and nondegenerate.
loglinearnounAlternative form of log-linear. [(mathematics) Being or relating to a mathematical model that takes the form of a function whose logarithm is a linear combination of the parameters of the model, making it possible to apply (possibly multivariate) linear regression.]
bivariablenoun(mathematics) A binomial variable
bivariant(mathematics) Having two independent variables.
bivariate(mathematics) Having or involving exactly two variables.
log-linear(mathematics) Being or relating to a mathematical model that takes the form of a function whose logarithm is a linear combination of the parameters of the model, making it possible to apply (possibly multivariate) linear regression.
piecewise linear(mathematics) Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces
piecewise-linearAlternative spelling of piecewise linear. [(mathematics) Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces]
alternatingnounThat alternates.
linearly dependent(algebra, of a set of vectors or ring elements) Having a nontrivial linear combination which is zero.

⚡ Words Strongly Associated with "Bilinear"

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🎨 Adjectives for "Bilinear"

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🏷️ Nouns for "Bilinear"

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