
Definition of Invariant
1. Noun. A feature (quantity or property or function) that remains unchanged when a particular transformation is applied to it.
2. Adjective. Unaffected by a designated operation or transformation.
3. Adjective. Unvarying in nature. "Principles of unvarying validity"
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.
Lexicographical Neighbors of Invariant
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 pmi2 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 ..."