Results 261 to 270 of about 13,595 (306)

Linear Forms and Bilinear Forms

2015
In this chapter we study different classes of maps between one or two K-vector spaces and the one dimensional K-vector space defined by the field K itself. These maps play an important role in many areas of Mathematics, including Analysis, Functional Analysis and the solution of differential equations.
Jörg Liesen, Volker Mehrmann
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On the logic and geometry of bilinear forms

Fundam. Informaticae, 2005
Summary: The double stranded structure of DNA molecules is investigated in an abstract setting. Only the general structure of bilinear strings is taken into account regardless of specific physical and biochemical aspects of DNA molecules. In this context, the principles which DNA processes are based on are formulated in an abstract form.
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BILINEAR FORMS AND LINEAR CODES

Acta Mathematica Scientia, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bilinear matrix forms for the area of polygons

Computer-Aided Design, 1996
Several matrix forms for computing the area of plane polygons are given in this paper. The area of a simply connected polygon is computed as a bilinear function of coordinates of vertices and as a bilinear function either of signed or unsigned projections of edges. Special reduced forms are given for orthogonal polygons.
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Bilinear forms on categories

Journal of Mathematical Sciences, 1999
The author studies bilinear forms on additive categories and reproves some of the results obtained by \textit{H.-G. Quebbemann, W. Scharlau} and \textit{M. Schulte} in ``Quadratic and hermitian forms in additive and abelian categories'' [J. Algebra 59, 264-289 (1979; Zbl 0412.18016)], a paper, of which the author seems to be completely unaware.
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ON THE MINIMUM OF A BILINEAR FORM

The Quarterly Journal of Mathematics, 1947
Davenport, Harold, Heilbronn, H.
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Optimal Evaluation of Pairs of Bilinear Forms

SIAM Journal on Computing, 1978
A large class of multiplication problems in arithmetic complexity can be viewed as the simultaneous evaluation of a set of bilinear forms. This class includes the multiplication of matrices, polynomials, quaternions, Cayley and complex numbers. Considering bilinear algorithms, the optimal number of non-scalar multiplications can be described as the ...
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A nonlinear observer for bilinear systems in block form

European Journal of Control, 2023
Gerardo Flores, Mohammad Reza Rahmati
exaly  

Employing Hirota’s bilinear form to find novel lump waves solutions to an important nonlinear model in fluid mechanics

Results in Physics, 2021
Behzad Ghanbari
exaly  

Bilinear form, bilinear auto-Bäcklund transformation, soliton and half-periodic kink solutions on the non-zero background of a (3+1)-dimensional time-dependent-coefficient Boiti-Leon-Manna-Pempinelli equation

Wave Motion, 2023
Tian-Yu Zhou, Yuan Shen
exaly