Copyright © Philip M. Parker, INSEAD. Terms of Use.
Definition: Nonlinear |
NonlinearAdjective1. Math; not directly proportional. Source: WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved. |
| Domain | Definitions |
Computing | Nonlinear adj. [scientific computation] 1. Behaving in an erratic and unpredictable fashion; unstable. When used to describe the behavior of a machine or program, it suggests that said machine or program is being forced to run far outside of design specifications. This behavior may be induced by unreasonable inputs, or may be triggered when a more mundane bug sends the computation far off from its expected course. 2. When describing the behavior of a person, suggests a tantrum or a flame. "When you talk to Bob, don't mention the drug problem or he'll go nonlinear for hours." In this context, `go nonlinear' connotes `blow up out of proportion' (proportion connotes linearity). Source: Jargon File. |
Source: compiled by the editor from various references; see credits. | |
(From Wikipedia, the free Encyclopedia)
The solutions of linear equations can in general be described as a superposition of other solutions of the same equation. This makes linear equations particularly easy to solve and reason about.
Nonlinear systems are more complex, and much harder to understand because of their lack of simple superposed solutions. In nonlinear systems the solutions to the equations do not form a vector space and cannot be superposed (added together) to produce new solutions. This makes solving the equations much harder than in linear systems.
The necessary mathematical techniques only started to be developed in the 20th century.
Examples of nonlinear systems:
To do:
Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Nonlinearity."
| The following table is compiled from various sources, across various languages. When English abbreviations or acronyms come from a non-English source, this is noted. | |||
| Entry | Source | Expression | Field |
| NODES | English | Nonlinear and Active Optical Devices on Electronic Substrates | Computing, European Union |
Source: compiled by the editor, based on several corpora (additional references). | |||
| Antonym: linear (adj). (additional references) |
Crosswords: Nonlinear |
| English words defined with "nonlinear": curvilinear regression ♦ nonlinear correlation. (references) |
| Specialty definitions using "nonlinear": chrominance nonlinear gain, chrominance nonlinear phase ♦ ELECTRONICS ENGINEER ♦ Fractals ♦ harmonic distortion ♦ intermodulation, intermodulation distortion ♦ Mode Conversion, MPEG-1 audio layer 3 ♦ nonlinear damping, nonlinear dielectrics, nonlinear distortion, Nonlinear Dynamics, nonlinear editing, nonlinear encoding, nonlinear function, nonlinear optical loop mirror, nonlinear programming, nonlinear regression, nonlinear response ♦ Plasma Wave ♦ Transport, in Plasmas, Turbulence, Plasma ♦ vannevar, varistor. (references) |
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Theater & Movies | |||
Source: compiled by the editor from various references; see credits. | |||
| "Nonlinear" is generally used as an adjective (general or positive) -- approximately 100.00% of the time. "Nonlinear" is used about 81 times out of a sample of 100 million words spoken or written in English. Its rank is based on over 700,000 words used in the English language. Some parts-of-speech are not covered due to the samples used by the British National Corpus. (note: percents less than one-hundredth of one percent have been omitted) |
| Parts of Speech | Percent | Usage per 100 Million Words | Rank in English |
| Adjective (general or positive) | 100% | 81 | 36,835 |
Source: compiled by the editor from several corpora; see credits.
Expressions using "nonlinear": chrominance nonlinear gain ♦ chrominance nonlinear phase ♦ nonlinear correlation ♦ nonlinear dielectrics ♦ nonlinear distortion ♦ Nonlinear Dynamics ♦ nonlinear editing ♦ nonlinear encoding ♦ nonlinear function ♦ nonlinear optical loop mirror ♦ nonlinear programming ♦ nonlinear regression ♦ nonlinear response. Additional references. | |
| Source: compiled by the editor from various references; see credits. |
| The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com. |
| Language | Translations for "nonlinear"; alternative meanings/domain in parentheses. | ||||||||||||||||||||||||||||
Chinese | 非线性. (various references) | ||||||||||||||||||||||||||||
Danish | non-lineær funktion (nonlinear function), ulineaer forvraengning (nonlinear distortion, non-linear distortion, non-linearity distortion), ikke-lineaer programmering (nonlinear programming), ikke-lineær regression (nonlinear regression, non-linear regression). (various references) | ||||||||||||||||||||||||||||
Dutch | niet-lineaire vervorming (nonlinear distortion, non-linear distortion, non-linearity distortion), niet-lineaire regressie (nonlinear regression, non-linear regression), niet-lineaire functie (nonlinear function), niet-lineaire diëlektriciteit (nonlinear dielectrics), niet-lineaire besturingstaak (nonlinear guidance task), niet-lineaire besturingsopdracht (nonlinear guidance task), niet-lineair programmeren (nonlinear programming). (various references) | ||||||||||||||||||||||||||||
Finnish | epälineaarinen vääristymä (nonlinear distortion, non-linear distortion, non-linearity distortion), epälineaarinen särö (nonlinear distortion, non-linear distortion, non-linearity distortion), epälineaarinen regressio (nonlinear regression, non-linear regression), epälineaarinen optimointi (nonlinear programming), epälineaarinen funktio (nonlinear function), epälineaarinen eriste (nonlinear dielectrics). (various references) | ||||||||||||||||||||||||||||
French | miroir en boucle non linéaire (nonlinear optical loop mirror), corrélation curviligne (nonlinear correlation), corrélation non linéaire (nonlinear correlation), diélectrique de non-linéarité (nonlinear dielectrics), diélectrique non linéaire (nonlinear dielectrics), distorsion de non-linéarité (nonlinear distortion, non-linear distortion, non-linearity distortion), distorsion non linéaire (nonlinear distortion, non-linear distortion, non-linearity distortion), codage non-linéaire (nonlinear encoding, non-linear encoding), gain de chrominance non-linéaire (chrominance nonlinear gain, chrominance non-linear gain), tâche de guidage non linéaire (nonlinear guidance task), montage non linéaire (nonlinear editing, non-linear editing, non-linear video editing), montage virtuel (nonlinear editing, non-linear editing, non-linear video editing), phase de chrominance non-linéaire (chrominance nonlinear phase, chrominance non-linear phase), programmation non linéaire (nonlinear programming), régression non linéaire (nonlinear regression, non-linear regression), réponse non-linéaire (nonlinear response), encodage non-linéaire (nonlinear encoding, non-linear encoding). (various references) | ||||||||||||||||||||||||||||
German | nicht linear. (various references) | ||||||||||||||||||||||||||||
Greek | μη γραμμική παραμόρφωση (nonlinear distortion, non-linear distortion, non-linearity distortion), μη γραμμικά διηλεκτρικά (nonlinear dielectrics). (various references) | ||||||||||||||||||||||||||||
Hebrew | לא קוי. (various references) | ||||||||||||||||||||||||||||
Italian | specchio anulare ottico (nonlinear optical loop mirror), regressione non lineare (nonlinear regression, non-linear regression, skew regression), regressione curvilinea (nonlinear regression, non-linear regression, skew regression), programmazione non lineare (nonlinear programming), funzione non lineare (nonlinear function), dielecttrici non lineari (nonlinear dielectrics), correlazione non lineare (nonlinear correlation), compito non lineare di guida (nonlinear guidance task). (various references) | ||||||||||||||||||||||||||||
Korean | 비 형. (various references) | ||||||||||||||||||||||||||||
Pig Latin | onlinearnay programação não linear (nonlinear programming), distorção não linear (nonlinear distortion, non-linear distortion, non-linearity distortion), distorção de não linearidade (nonlinear distortion, non-linear distortion, non-linearity distortion), dieléctricos não lineares (nonlinear dielectrics). (various references) нелинейный. (various references) tarea de guía no lineal (nonlinear guidance task), regresión no lineal (nonlinear regression, non-linear regression), programación no lineal (nonlinear programming), función no-lineal (nonlinear function), distorsión no lineal (nonlinear distortion, non-linear distortion, non-linearity distortion), distorsión de no linealidad (nonlinear distortion, non-linear distortion, non-linearity distortion), dieléctrico no lineal (nonlinear dielectrics), correlación no lineal (nonlinear correlation), bucle óptico especular no lineal (nonlinear optical loop mirror). (various references) icke-linjärt dielektrikum (nonlinear dielectrics), icke linjär optimering (nonlinear programming). (various references) | ||||||||||||||||||||||||||||
Derivations | |
Words beginning with "nonlinear": nonlinearities, nonlinearity. (additional references) | |
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"Nonlinear" is suggested in spellcheckers for the following: nonliner, nonliteral. (additional references) | |
| Source: compiled by the editor, based on several corpora (additional references). | |
Scrabble® Enable2K-Verified Anagrams | |
| Words within the letters "a-e-i-l-n-n-n-o-r" | |
-2 letters: aileron, alienor. | |
-3 letters: aliner, eolian, eonian, inaner, lanner, larine, linear, loaner, nailer, nannie, narine, neroli, online, reloan, renail, rennin, ronnel. | |
-4 letters: alien, aline, aloin, alone, anile, anion, anole, ariel, elain, eloin, enrol, inane, inner, irone, learn, liane, linen, liner, loner, loran, nerol, ninon, noria, oiler, olein, oriel, renal, renin, reoil. | |
-5 letters: aeon, aero, airn. | |
| Words containing the letters "a-e-i-l-n-n-n-o-r" | |
+2 letters: nonintegral, nonterminal. | |
+3 letters: noncollinear, nonlinearity, nonnumerical, nonuniversal, noradrenalin, overplanning. | |
+4 letters: antipersonnel, environmental, international, interneuronal, nonallergenic, nonmanagerial, nonnumericals, nonregulation, nonshrinkable, nonuniversals, noradrenaline, noradrenalins, unreasoningly. | |
+5 letters: interlineation, internationals, intolerantness, noncelebration, noncorrelation, noncrystalline, nondirectional, nonlinearities, nonoperational, nonoverlapping, nonregulations, nonresidential, noradrenalines, rhinencephalon, underinflation. | |
| Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro. | |
Hexadecimal (or equivalents, 770AD-1900s) (references)4E 6F 6E 6C 69 6E 65 61 72 |
| Leonardo da Vinci (1452-1519; backwards) (references)
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| American Sign Language (origins from 1620-1817 in Italy and, especially, France) (references)
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| Semaphore (1791, in France) (references)
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| Braille (1829, in France) (references)
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Morse Code (1836) (references)-. --- -. .-.. .. -. . .- .-. |
| Dancing Men (Sir Arthur Conan Doyle, 1903) (references)
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Binary Code (1918-1938, probably earlier) (references)01001110 01101111 01101110 01101100 01101001 01101110 01100101 01100001 01110010 |
HTML Code (1990) (references)N o n l i n e a r |
ISO 10646 (1991-1993) (references)004E 006F 006E 006C 0069 006E 0065 0061 0072 |
| British Sign Language (Fingerspelling, BSL; 1992, British Deaf Association Dictionary of British Sign Language) (references)
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Encryption (beginner's substitution cypher): (references)488180787580716784 |
| 1. Definition 2. Crosswords 3. Usage: Commercial 4. Usage Frequency | 5. Expressions 6. Expressions: Internet 7. Translations: Modern 8. Abbreviations | 9. Acronyms 10. Derivations 11. Anagrams 12. Orthography | 13. Bibliography |
Copyright © Philip M. Parker, INSEAD. Terms of Use.
