WHAT DOES NONLINEAR MEAN IN ENGLISH?
Nonlinear system
In physics and other sciences, a
nonlinear system, in contrast to a linear system, is a system which does not satisfy the superposition principle – meaning that the output of a nonlinear system is not directly proportional to the input. In mathematics, a
nonlinear system of equations is a set of simultaneous equations in which the unknowns appear as variables of a polynomial of degree higher than one or in the argument of a function which is not a polynomial of degree one. In other words, in a nonlinear system of equations, the equation to be solved cannot be written as a linear combination of the unknown variables or functions that appear in it. It does not matter if nonlinear known functions appear in the equations. In particular, a differential equation is
linear if it is linear in terms of the unknown function and its derivatives, even if nonlinear in terms of the other variables appearing in it. Typically, the behavior of a
nonlinear system is described by a
nonlinear system of equations.
Definition of nonlinear in the English dictionary
The definition of nonlinear in the dictionary is not of, in, along, or relating to a line. Other definition of nonlinear is denoting digital editing in which edits are saved on computer, rather than videotape, thus enabling further edits to be made.
6 QUOTES WITH «NONLINEAR»
Famous quotes and sentences with the word
nonlinear.
Of course the word chaos is used in rather a vague sense by a lot of writers, but in physics it means a particular phenomenon, namely that in a nonlinear system the outcome is often indefinitely, arbitrarily sensitive to tiny changes in the initial condition.
There are challenges in terms of the measurement of VAR for what are known as nonlinear derivatives, where things like gamma and vega are important dimensions of the risk.
People take the longest possible paths, digress to numerous dead ends, and make all kinds of mistakes. Then historians come along and write summaries of this messy, nonlinear process and make it appear like a simple, straight line.
Human history is highly nonlinear and unpredictable.
The global climate is a complex interactive system, with all kinds of nonlinear feedback loops.
The plumbing and pluvial dynamics of the Amazon, the largest freshwater system on Earth, are still far from understood. This is partly because it is a semi-open system. Moisture flows in and out unpredictably. A lot of nonlinear feedback loops and 'remote influences' - continental, transcontinental, oceanic, meteorological - come into play.
10 ENGLISH BOOKS RELATING TO «NONLINEAR»
Discover the use of
nonlinear in the following bibliographical selection. Books relating to
nonlinear and brief extracts from same to provide context of its use in English literature.
1
Nonlinear Multiobjective Optimization
This book is intended for both researchers and students in the areas of (applied) mathematics, engineering, economics, operations research and management science; it is meant for both professionals and practitioners in many different fields ...
2
Nonlinear Programming: Analysis and Methods
Begins with the derivation of optimality conditions and discussions of convex programming, duality, generalized convexity, and analysis of selected nonlinear programs, and then explores techniques for numerical solutions and unconstrained ...
3
Nonlinear Programming: Theory and Algorithms
The Third Edition begins with a general introduction to nonlinear programming with illustrative examples and guidelines for model construction.
Mokhtar S. Bazaraa, Hanif D. Sherali, C. M. Shetty,
2006
4
Numerical Methods for Unconstrained Optimization and ...
A complete, state-of-the-art description of the methods for unconstrained optimization and systems of nonlinear equations.
J. E. Dennis, Jr., Robert B. Schnabel,
1996
5
A Primer of
Nonlinear Analysis
This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory.
Antonio Ambrosetti, Giovanni Prodi,
1995
6
Linear and
Nonlinear Optimization: Second Edition
The succinct style of this second edition is punctuated with numerous real-life examples and exercises, and the authors include accessible explanations of topics that are not often mentioned in textbooks, such as duality in nonlinear ...
Igor Griva, Stephen G. Nash, Ariela Sofer,
2009
7
Nonlinear Control Systems
This text emphasizes classical methods and presents essential analytical tools and strategies for the construction and development of improved design methods in nonlinear control.
8
Iterative Methods for Linear and
Nonlinear Equations
Mathematics of Computing -- Numerical Analysis.
9
Nonlinear Digital Filters
This book takes strides in that direction by organizing nonlinear filter classes in a concise way and stretching their common properties. Annotation copyrighted by Book News, Inc., Portland, OR
Ioannis Pitas, Anastasios N. Venetsanopoulos,
1990
10
Linear and
Nonlinear Programming
This third edition of the classic textbook in Optimization has been fully revised and updated.
David G. Luenberger, Yinyu Ye,
2008
10 NEWS ITEMS WHICH INCLUDE THE TERM «NONLINEAR»
Find out what the national and international press are talking about and how the term
nonlinear is used in the context of the following news items.
Your Summer [Reading] Playlist
Gordon's memoir is everything you'd expect: raw, nonlinear, and unsettled. The book opens with a chapter called “The End” detailing Sonic ... «Yahoo Music, Jul 15»
Dot Earth | Whiplash Warning When Climate Science is Publicized …
We suggest that ice sheet disintegration is a highly nonlinear process and poses a danger of rapid sea level rise. We find evidence in ... «New York Times, Jul 15»
How to Determine If a Mesh is Fine Enough for Accurate Results
And this problem is magnified for multiple-iteration runs typical of nonlinear and transient analyses. One of the ways to evaluate the quality of a ... «R & D Magazine, Jul 15»
Five Strategies for Reaching Millennials
Take a Multichannel Approach – Shoppers have increasingly longer, varied and nonlinear paths to purchase, and millennials are leading this ... «NACS Online, Jul 15»
“Gangen” with Virologist Luis Perez Villarreal | Suzan Mazur
In fact, Villarreal thinks we need a new language to deal with the dynamic of viruses, which exist as nonlinear collective entities, i.e., consortia. «Scoop.co.nz, Jul 15»
Ian McKellen plays 'Mr. Holmes' in twilight
“Mr. Holmes” shows the past and the present through not-so-well-managed nonlinear storytelling. There's the increasingly feeble Holmes living ... «The Advocate, Jul 15»
'The Last Five Years': Melancholy in the form of a musical
Over a nonlinear time span presented from the differing points of view of these two characters, we are invited to dissect the ebbs and flows of ... «Today's Zaman, Jul 15»
A Mathematician's View of Evolution
Since then, PDE2D has developed many new abilities: it now solves nonlinear problems, time-dependent, and eigenvalue problems, systems ... «Discovery Institute, Jul 15»
Understanding Trumps Insight
The analysts had to perform time-consuming changes before the nonlinear weather-to-usage relationships could be modeled within Excel. «Datanami, Jul 15»
'MasterChef' Renewed For Season 7 By Fox; Judges Returning
... million viewers in its current season when all its platforms are accounted for, making it Fox's top unscripted program in nonlinear viewership. «Deadline, Jul 15»