Nonlinear Algebra

2020 ◽  
pp. 99-118
Author(s):  
Brian Vick
Keyword(s):  
Nonlinear Algebra

Mathematical machine usage in medical information systems

2021 ◽  
Vol 65 (04) ◽  
pp. 75-85
Author(s):  
İradə Hətəm qızı Mirzəzadə ◽  
◽  
Gülçin Gülhüseyn qızı Abdullayeva ◽  
Həsənağa Rauf oğlu Nağızadə ◽  
◽  
...  
Keyword(s):  
Mathematical Model ◽  
Integral Equations ◽  
Medical Information ◽  
Simple Approach ◽  
Bayes Method ◽  
Medical Information Systems ◽  
Nonlinear Algebra ◽  
Artifical Neural Networks ◽  
Mathematical Machine ◽  
Differential And Integral Equations

Biosystem of the human body is viewed as a whole. First of all adequate mathematical machine selection and class of biosystems needs to be assigned for creation of mathematical model of biological system. Biosystem has two types of appoach. One of them is supposed to be a simple approach, the other is likely to be very complex – indexed approach. Different biosystems with determination properties are usually described by differential and integral equations, linear and nonlinear algebra. In some cases, algebraic polynoms with timed argument are used for presenting determined biosystem dynamics. Adequate mathematical modeling machine, probability theory, Markov and random processes theory and the laws are applied for the description of likely characterized biosystems. Key words: biosystem, biocybernetic issues, differential and integral equations, mathematical model, Markov chains, Bayes method, artifical neural networks

Numerical Algorithms for Linear and Nonlinear Algebra

1999 ◽  
pp. 1023-1023
Author(s):  
Patrick Amestoy ◽  
Philippe Berger ◽  
Michel Daydé ◽  
Daniel Ruiz ◽  
Iain Duff ◽  
...  
Keyword(s):  
Numerical Algorithms ◽  
Nonlinear Algebra ◽  
Linear And Nonlinear

Nonlinear Algebra and Optimization on Rings are “Hard”

1987 ◽  
Vol 16 (5) ◽  
pp. 910-929 ◽  
Author(s):  
H. B. Hunt, III ◽  
R. E. Stearns
Keyword(s):  
Nonlinear Algebra

Hybrid Optoelectronic Nonlinear Algebra Processor

1988 ◽  
Author(s):  
Mustafa A. Abushagur ◽  
H.John Caulfield
Keyword(s):  
Nonlinear Algebra

scholarly journals EXTENDED CONFORMAL GROUP AND DSR VELOCITIES ON THE PHYSICAL SURFACE

2006 ◽  
Vol 21 (13n14) ◽  
pp. 2863-2876
Author(s):  
CARLOS LEIVA
Keyword(s):  
Dimensional Reduction ◽  
Relativistic Particle ◽  
Dimensional Space ◽  
Lorentz Invariance ◽  
Conformal Group ◽  
Reduction Procedure ◽  
Doubly Special Relativity ◽  
Nonlinear Algebra ◽  
Space Dynamics ◽  
The One

The relation between conformal generators and Magueijo–Smolin Doubly Special Relativity term, is achieved. Through a dimensional reduction procedure, it is demonstrated that a massless relativistic particle living in a d-dimensional space, is isomorphic to the one living in a d+2 space with pure Lorentz invariance and to a particle living in a AdS d+1 space. To accomplish these identifications, the conformal group is extended and a nonlinear algebra is obtained. Finally, because the relation between momenta and velocities is known through the dimensional reduction procedure, the problem of position space dynamics is solved.

THE CONFORMAL BOOTSTRAP AND SUPER W ALGEBRAS

1992 ◽  
Vol 07 (03) ◽  
pp. 591-617 ◽  
Author(s):  
JOSÉ M. FIGUEROA-O'FARRILL ◽  
STANY SCHRANS
Keyword(s):  
Systematic Study ◽  
Minimal Model ◽  
Central Charge ◽  
Virasoro Algebra ◽  
Symmetry Algebra ◽  
Modular Invariant ◽  
Conformal Bootstrap ◽  
Nonlinear Algebra

We undertake a systematic study of the possible extensions of the N = 1 super Virasoro algebra by a superprimary field of spin [Formula: see text]. Besides new extensions, which exist only for specific values of the central charge, we find a new nonlinear algebra (super W2) generated by a spin 2 superprimary which is associative for all values of the central charge. Furthermore, the spin 3 extension is argued to be the symmetry algebra of the m = 6 super Virasoro unitary minimal model, by exhibiting the (A7, D4)-type modular invariant as diagonal in terms of extended characters.

scholarly journals Estimating linear covariance models with numerical nonlinear algebra

2020 ◽  
Vol 11 (1) ◽  
pp. 31-52
Author(s):  
Bernd Sturmfels ◽  
Sascha Timme ◽  
Piotr Zwiernik
Keyword(s):  
Nonlinear Algebra ◽  
Covariance Models ◽  
Linear Covariance

Introductory remarks

1971 ◽  
Vol 323 (1553) ◽  
pp. 153-153
Keyword(s):  
Social Sciences ◽  
Numerical Analysis ◽  
Numerical Methods ◽  
Future Development ◽  
Applied Mathematics ◽  
Numerical Techniques ◽  
Nonlinear Algebra ◽  
The Social ◽  
Linear And Nonlinear ◽  
Good Order

Over the last decade the use of numerical techniques for the solution of the problems of physics, engineering, chemistry, biology and the social sciences has increased by leaps and bounds, and it was felt that the time was ripe for holding a Discussion Meeting on some topic in numerical analysis. This was intended not merely to provide an opportunity for experts in the field to get together, since there are many specialized meetings in numerical analysis these days. The aim was rather to give scientists in general who are interested in numerical methods a chance to find out what is being done, so that they can make greater use of this work and hopefully influence its future development. After some deliberation I decided on partial differential equations as the topic, in spite of the fact that it is not an area in which I have made any direct contribution in recent years. This is because I believe it to be one of the most important and challenging fields; indeed the solution of systems of p. d. es lies at the very heart of the problems of applied mathematics. Long after we have the more basic fields of linear and nonlinear algebra and approximation theory in good order the problems arising in the solution of p. d. es will still be with us. The work that has been done in numerical analysis may then appear as a preliminary sharpening up of the tools we are to use.

scholarly journals Nonlinear algebra and Bogoliubov’s recursion

2008 ◽  
Vol 154 (2) ◽  
pp. 270-293 ◽  
Author(s):  
A. Yu. Morozov ◽  
M. N. Serbyn
Keyword(s):  
Nonlinear Algebra

scholarly journals Cooperativity, absolute interaction, and algebraic optimization

2020 ◽  
Vol 81 (4-5) ◽  
pp. 1169-1191
Author(s):  
Nidhi Kaihnsa ◽  
Yue Ren ◽  
Mohab Safey El Din ◽  
Johannes W. R. Martini
Keyword(s):  
Optimization Problem ◽  
Oxygen Binding ◽  
Hill Plot ◽  
Nonlinear Algebra ◽  
Algebraic Optimization ◽  
The Hill ◽  
Binding Curves

Abstract We consider a measure of cooperativity based on the minimal interaction required to generate an observed titration behavior. We describe the corresponding algebraic optimization problem and show how it can be solved using the nonlinear algebra tool . Moreover, we compute the minimal interactions and minimal molecules for several binding polynomials that describe the oxygen binding of various hemoglobins under different conditions. We compare their minimal interaction with the maximal slope of the Hill plot, and discuss similarities and discrepancies with a view towards the shapes of the binding curves.

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