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Meaning of "nondegenerate" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF NONDEGENERATE

nondegenerate  [ˌnɒndɪˈdʒɛnərət] play
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GRAMMATICAL CATEGORY OF NONDEGENERATE

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Nondegenerate is an adjective.
The adjective is the word that accompanies the noun to determine or qualify it.

WHAT DOES NONDEGENERATE MEAN IN ENGLISH?

Degenerate form

In mathematics, specifically linear algebra, a degenerate bilinear form ƒ on a vector space V is one such that the map from to given by is not an isomorphism. An equivalent definition when V is finite-dimensional is that it has a non-trivial kernel: there exist some non-zero x in V such that for all A nondegenerate or nonsingular form is one that is not degenerate, meaning that is an isomorphism, or equivalently in finite dimensions, if and only if for all implies that x = 0. If V is finite-dimensional then, relative to some basis for V, a bilinear form is degenerate if and only if the determinant of the associated matrix is zero – if and only if the matrix is singular, and accordingly degenerate forms are also called singular forms. Likewise, a nondegenerate form is one for which the associated matrix is non-singular, and accordingly nondegenerate forms are also referred to as non-singular forms. These statements are independent of the chosen basis.

Definition of nondegenerate in the English dictionary

The definition of nondegenerate in the dictionary is not degenerate.

WORDS THAT RHYME WITH NONDEGENERATE


cyanuret
saɪˈænjʊərət
equiparate
ɪˈkwɪpərət
governorate
ˈɡʌvənərət
inelaborate
ˌɪnɪˈlæbərət
inseparate
ɪnˈsɛpərət
intercorporate
ˌɪntəˈkɔːpərət
Meerut
ˈmɪərət
noncorporate
ˌnɒnˈkɔːpərət
nondeliberate
ˌnɒndɪˈlɪbərət
phosphuret
ˈfɒsfjʊərət
ponderate
ˈpɒndərət
porporate
ˈpɔːpərət
postdoctorate
ˌpəʊstˈdɒktərət
rectorate
ˈrektərət
stadtholderate
ˈstædˌhəʊldərət
tricorporate
traɪˈkɔːpərət
unadulterate
ˌʌnəˈdʌltərət
unelaborate
ˌʌnɪˈlæbərət
unicolorate
ˌjuːnɪˈkʌlərət
valerate
ˈvælərət

WORDS THAT BEGIN LIKE NONDEGENERATE

nondeceptive
nondecision
nondecreasing
nondeductible
nondeductive
nondefense
nondeferrable
nondeforming
nondegradable
nondegree
nondelegate
nondeliberate
nondelinquent
nondelivery
nondemand
nondemanding
nondemocratic
nondenominational
nondepartmental
nondependent

WORDS THAT END LIKE NONDEGENERATE

accelerate
accurate
confederate
conglomerate
considerate
cooperate
degenerate
deliberate
desperate
generate
illiterate
liberate
literate
moderate
operate
proliferate
refrigerate
regenerate
reiterate
temperate
tolerate

Synonyms and antonyms of nondegenerate in the English dictionary of synonyms

SYNONYMS

Translation of «nondegenerate» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF NONDEGENERATE

Find out the translation of nondegenerate to 25 languages with our English multilingual translator.
The translations of nondegenerate from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «nondegenerate» in English.

Translator English - Chinese

非简
1,325 millions of speakers

Translator English - Spanish

nondegenerate
570 millions of speakers

English

nondegenerate
510 millions of speakers

Translator English - Hindi

nondegenerate
380 millions of speakers
ar

Translator English - Arabic

nondegenerate
280 millions of speakers

Translator English - Russian

невырожденная
278 millions of speakers

Translator English - Portuguese

não degenerado
270 millions of speakers

Translator English - Bengali

nondegenerate
260 millions of speakers

Translator English - French

non dégénérée
220 millions of speakers

Translator English - Malay

Nondegenerate
190 millions of speakers

Translator English - German

nicht entartet
180 millions of speakers

Translator English - Japanese

非縮退の
130 millions of speakers

Translator English - Korean

비축
85 millions of speakers

Translator English - Javanese

Nondegenerate
85 millions of speakers
vi

Translator English - Vietnamese

nondegenerate
80 millions of speakers

Translator English - Tamil

nondegenerate
75 millions of speakers

Translator English - Marathi

Nondegenerate
75 millions of speakers

Translator English - Turkish

dejenere olmayan
70 millions of speakers

Translator English - Italian

non degenere
65 millions of speakers

Translator English - Polish

niezdegenerowanych powierzchni
50 millions of speakers

Translator English - Ukrainian

невироджена
40 millions of speakers

Translator English - Romanian

nedegenerat
30 millions of speakers
el

Translator English - Greek

nondegenerate
15 millions of speakers
af

Translator English - Afrikaans

nondegenerate
14 millions of speakers
sv

Translator English - Swedish

nondegenerate
10 millions of speakers
no

Translator English - Norwegian

nondegenerate
5 millions of speakers

Trends of use of nondegenerate

TRENDS

TENDENCIES OF USE OF THE TERM «NONDEGENERATE»

The term «nondegenerate» is regularly used and occupies the 84.306 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
61
/100
The map shown above gives the frequency of use of the term «nondegenerate» in the different countries.
Principal search tendencies and common uses of nondegenerate
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «nondegenerate».

FREQUENCY OF USE OF THE TERM «NONDEGENERATE» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «nondegenerate» during the past 500 years. Its implementation is based on analysing how often the term «nondegenerate» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about nondegenerate

EXAMPLES

10 ENGLISH BOOKS RELATING TO «NONDEGENERATE»

Discover the use of nondegenerate in the following bibliographical selection. Books relating to nondegenerate and brief extracts from same to provide context of its use in English literature.
1
Thermoelectric Figure of Merit of Degenerate and ...
The highest ZT value possible for a nondegenerate semiconductor is 24.5 and is achieved through a material for which r = -1/2, η = -5 and S = 602 μVK-1. 2. The highest ZT value possible for a degenerate semiconductor is 23.9 and is ...
Michael Constantine Nicolaou, 2009
2
Computational Solution of Nonlinear Systems of Equations
As we have pointed out, if an iterate z* is a nondegenerate vector, then the system (7)-(9) reduces to the system of linear equations (12). In general, the vector zt computed from the damped-Newton algorithm described previously is not ...
Eugene L. Allgower, Kurt Georg
3
Nonlinear Optimization in Finite Dimensions: Morse Theory, ...
A critical point x for / E C2(R",R) is said to be nondegenerate if D2f(x) is nonsingular. A nondegenerate critical point x for f is an isolated critical point, i.e. in some neighborhood of x there is no other critical point for /. In fact, consider the C^-map ...
Hubertus Th. Jongen, P. Jonker, F. Twilt, 2000
4
Equations in Free Semigroups
We now turn to nondegenerate solutions. We will prove that any non- degenerate image of a /3-equation possesses a tree whose final vertices have only periodic solutions (with periods of bounded length) . Any nondegenerate image of a ...
I͡Uriĭ Ilʹich Khmelevskiĭ, 1976
5
Quadratic Mappings and Clifford Algebras
(resp. dφ) is bijective from M onto Hom(M,N), and we say that q (resp. φ) is weakly nondegenerate if dq (resp. dφ) is merely injective. When K is a field, and M a finite-dimensional vector space, every weakly nondegenerate quadratic form M ...
Jacques Helmstetter, Artibano Micali, 2008
6
A Survey of the Hodge Conjecture
Hazama makes the following elementary observations about stable nondegeneracy [47]: (1) If A is stably nondegenerate, and B is an Abelian subvariety of A, then B is stably nondegenerate. For up to isogeny A ~ B x B', and thus if stable ...
James D. Lewis
7
Geometric Control of Mechanical Systems
Definition 3.119 (Nondegenerate algebraic distribution). A Cr- algebraic distribution V is nondegenerate if V = rr(D(^)). Also, if (D) is a Cr-distribution, and if {Xa}aeA is a collection of local generators defined on a neighborhood U C M, these ...
Francesco Bullo, 2005
8
Group Identities on Units and Symmetric Units of Group Rings
Let V be a vector space over a division ring D with involution, and let (□,□) be a nondegenerate bilinear form that is either Hermitian or alternate. Assume that D has characteristic different from 2. IfW is a finite-dimensional sub- space ofV, then  ...
Gregory T Lee, 2010
9
Indefinite Linear Algebra and Applications
A subspace M is said to be nondegenerate (with respect to the indefinite inner product [.,.]) if x ∈Mand [x,y] = 0 for all y ∈Mimply that x =0. Otherwise M is degenerate. For example, the defining property (iii) for the indefinite inner product [.,.] ...
Israel Gohberg, Peter Lancaster, Leiba Rodman, 2006
10
Continuum Theory & Dynamical Systems
A Continuum Separated by Each of Its Nondegenerate Proper Subcontinua SAM B. NADLER, JR. West Virginia University, Morgantown, West Virginia GARY A. SELDOMRIDGE Potomac State College, Keyser, West Virginia 1. Introduction: A  ...
Thelma West, 1993

10 NEWS ITEMS WHICH INCLUDE THE TERM «NONDEGENERATE»

Find out what the national and international press are talking about and how the term nondegenerate is used in the context of the following news items.
1
Ultrabroadband mid-IR frequency combs show promise for standoff …
... Carrier envelope offset frequency of a doubly resonant, nondegenerate, mid-infrared GaAs optical parametric oscillator, Opt. Lett. 38(8), p. «SPIE Newsroom, Mar 15»
2
High Currents, When Hot
... species having a different anchoring group, which DFT calculations predict to have just regular, nondegenerate levels near the Fermi energy. «Physics, Jul 12»
3
A Well-Rounded Life for an Electron Spin
For nondegenerate electrons in the quantum well, the relative importance of the next-highest-order spin-orbit fields to the lowest-order fields for ... «Physics, Sep 11»
4
Viewpoint: Weyl electrons kiss
... symmetry is broken, and as a consequence, despite the centrosymmetric nature of the crystals in question, the bands are nondegenerate. «Physical Review Focus, May 11»
5
Suppressed fluctuations in Fermi gases
For nondegenerate clouds the relative variance remains close to unity. In a slightly more sophisticated interpretation of the data, one can invoke ... «Physics, Jul 10»
6
Arthropod relationships revealed by phylogenomic analysis of …
... D. Increased yield of PCR product from degenerate primers with nondegenerate, nonhomologous 5′ tails. Biotechniques 38, 34–38 (2005) ... «Nature.com, Feb 10»
7
Liberating anyons from two dimensions
If the ground state is nondegenerate, the only effect of this interchange is a phase factor, and this phase may be calculated by the usual ... «Physics, Jan 10»
8
Bismuth telluride could revolutionize electronics : Electrons travel …
... we demonstrate that the surface state consists of a single nondegenerate Dirac cone. Furthermore, with appropriate hole-doping, the Fermi ... «Next Big Future, Jun 09»
9
Tunable delay of Einstein–Podolsky–Rosen entanglement
... ISI | ChemPort |; Reid, M. D. Demonstration of the Einstein-Podolsky-Rosen paradox using nondegenerate parametric amplification. Phys. «Nature.com, Feb 09»
10
Trend: A new phase in quantum computation
Just as in the more general holonomies, described in the previous section, this phase arises in adiabatic evolution, but now for nondegenerate ... «Physics, Nov 08»

REFERENCE
« EDUCALINGO. Nondegenerate [online]. Available <https://educalingo.com/en/dic-en/nondegenerate>. Apr 2024 ».
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