Definition of Bilinear

1. Adjective. Linear with respect to each of two variables or positions.

Similar to: Additive, Linear



Definition of Bilinear

1. a. Of, pertaining to, or included by, two lines; as, bilinear coördinates.

Definition of Bilinear

1. Adjective. (context: mathematics of a function in two variables) Linear (preserving linear combinations) in each variable. ¹

¹ Source: wiktionary.com

Definition of Bilinear

1. pertaining to two lines [adj]

Medical Definition of Bilinear

1. Of, pertaining to, or included by, two lines; as, bilinear coordinates. Source: Websters Dictionary (01 Mar 1998)

Bilinear Pictures

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Lexicographical Neighbors of Bilinear

bilibinskite
bilichrome
bilichromes
bilifaction
biliferous
bilifuscin
biligenesis
biligenic
bilimbi
bilimbing
bilimbis
biliment
biliments
bilin
bilineal
bilinear (current term)
bilinearly
bilingual
bilingual dictionary
bilingualism
bilingualisms
bilinguality
bilingually
bilinguals
bilinguar
bilinguis
bilinguist
bilinguists
bilinguous
bilinite

Literary usage of Bilinear

Below you will find example usage of this term as found in modern and/or classical literature:

1. Catalogue of Scientific Papers, 1800-1900: Subject Indexby Royal Society (Great Britain), Herbert McLeod by Royal Society (Great Britain), Herbert McLeod (1908)
"Mth. A. 50 (1898) 557-. Loewy, A. Ac. Nt. CN Acta 71 (1898) 377-; Fundamental systems and bilinear forms. — permutable into given bilinear form. ..."

2. Proceedings of the Cambridge Philosophical Society by Cambridge Philosophical Society (1902)
"Reduction of a bilinear form by biorthogonal substitutions. ... By this means he proves the possibility of reducing the given bilinear form with two ..."

3. Introduction to Higher Algebra by Maxime Bôcher (1907)
"CHAPTER VIII bilinear FORMS 36. The Algebraic Theory. Before entering on the study of quadratic forms, which will form the subject of the next five chapters ..."

4. Sophus Lie's 1880 Transformation Group Paper by Sophus Lie, Robert Hermann (1975)
"LIE ALGEBRAS ASSOCIATED WITH bilinear SYSTEMS Consider an input-output ... We say that the system 9.1 is a bilinear (stationary system if it is of the ..."

5. C-O-R Generalized Functions, Current Algebras, and Control by Robert Hermann (1994)
"My point of view in this Volume is that time-invariant bilinear Systes are a ... Solutions of time-invariant bilinear systems of formal power series type ..."

6. The Theory of Determinants and Their Applications by Robert Forsyth Scott (1904)
"APPLICATIONS TO bilinear AND QUADRATIC FORMS. 1. A bilinear form is an expression which is linear and homogeneous in each of two sets of independent ..."

7. Higher Geometry: An Introduction to Advanced Methods in Analytic Geometry by Frederick Shenstone Woods (1922)
"If we call a singular bilinear locus one defined by the equation (1) when AD —SC= 0, and a nonsingular bilinear locus one defined by (1) when AD —BC 3= 0, ..."

8. Introduction to the Theory of Analytic Functions by James Harkness, Frank Morley (1898)
"CHAPTER V. THE bilinear TRANSFORMATION OF A PLANE INTO ITSELF. ... The bilinear transformation Xl = (ax, + b)l(cxt + d) converts a point xa of the jr-plane ..."

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