Definition of Invariant

1. Noun. A feature (quantity or property or function) that remains unchanged when a particular transformation is applied to it.

Generic synonyms: Characteristic, Feature
Category relationships: Math, Mathematics, Maths



2. Adjective. Unaffected by a designated operation or transformation.
Category relationships: Math, Mathematics, Maths
Similar to: Invariable
Derivative terms: Invariance

3. Adjective. Unvarying in nature. "Principles of unvarying validity"
Exact synonyms: Changeless, Constant, Unvarying
Similar to: Invariable
Derivative terms: Changelessness, Constancy, Invariance

Definition of Invariant

1. n. An invariable quantity; specifically, a function of the coefficients of one or more forms, which remains unaltered, when these undergo suitable linear transformations.

Definition of Invariant

1. Adjective. not varying; constant ¹

2. Adjective. (mathematics) Unaffected by a specified operation (especially by a transformation) ¹

3. Noun. An invariant quantity, function etc. ¹

¹ Source: wiktionary.com

Definition of Invariant

1. [n -S]

Medical Definition of Invariant

1. An invariable quantity; specifically, a function of the coefficients of one or more forms, which remains unaltered, when these undergo suitable linear transformations. Source: Websters Dictionary (01 Mar 1998)

Lexicographical Neighbors of Invariant

invalidness
invalids
invalorous
invaluable
invaluableness
invaluably
invar
invariabilities
invariability
invariable
invariableness
invariables
invariably
invariance
invariances
invariant (current term)
invariant chain
invariant noun
invariant nouns
invariant section
invariant sections
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invariantly
invariants
invars
invasibility
invasible
invasin
invasins
invasion

Literary usage of Invariant

Below you will find example usage of this term as found in modern and/or classical literature:

1. Lessons Introductory to the Modern Higher Algebra by George Salmon (1885)
"When, by the method just explained, we have found an invariant of a quantic of any degree, we have immediately, by the method of Art. 126, a covariant of ..."

2. Theory and Applications of Finite Groups by George Abram Miller, Hans Frederick Blichfeldt, Leonard Eugene Dickson (1916)
"In a similar way we observe that every group of order pm, m>5, contains a subgroup of order pm-i-2 which involves p3 invariant operators. ..."

3. History: Fiction of Science? by Anatoly T. Fomenko (2005)
"THE POSSIBLE USES OF THE AUTHORIAL invariant. ITS POTENTIAL FOR THE DISCOVERY OF PLAGIARISMS One of the possible uses of the ..."

4. Group Invariance Applications in Statistics by Morris L. Eaton (1989)
"D Equation (6.5) says that the risk function of an invariant decision rule S is ... In other words, when G is transitive on 0, invariant decision rules have ..."

5. A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on by George Salmon (1879)
"When we have a quantic Z7= axn + by" + cza + &c., and a covariant V of the same degree ax" + by" 4 c2" + &c., then if we have any invariant of i7, ..."

6. An Introduction to the Algebra of Quantics by Edwin Bailey Elliott (1895)
"invariant of the ternary quadratic. Let us exemplify some of the above principles ... Since &ri and iiz(, annihilate it, an invariant of the quadratic is an ..."

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