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1. Invariante: Invariante es algo que no cambia al aplicarle un conjunto de transformaciones.Así, en matemáticas, un objeto (función, conjunto, punto, ...) se dice invariante respecto de o bajo una transformación si permanece inalterado tras la acción de tal trasformación. El concepto de ... [100%] 2023-10-17
2. Invariant: Invariant in relation to any physical quantity means that this value is independent of reference frame in which one observes the given quantity. E.g. [98%] 2023-03-17
3. Invariant (mathematics): In mathematics, an invariant is a property of a mathematical object (or a class of mathematical objects) which remains unchanged after operations or transformations of a certain type are applied to the objects. The particular class of objects and type ... (Mathematics) [98%] 2023-12-12 [Mathematical terminology]
4. Invariant: A mapping $ \phi $ of a given collection $ M $ of mathematical objects endowed with a fixed equivalence relation $ \rho $, into another collection $ N $ of mathematical objects, that is constant on the equivalence classes of $ M $ with respect to $ \rho $ (more precisely ... (Mathematics) [98%] 2023-12-12
5. Invariant (mathematics): In mathematics, an invariant is a property of a mathematical object (or a class of mathematical objects) which remains unchanged after operations or transformations of a certain type are applied to the objects. The particular class of objects and type ... (Mathematics) [98%] 2024-03-23 [Mathematical terminology]
6. Alexander invariants: Invariants connected with the module structure of the one-dimensional homology of a manifold $ \widetilde{M} $, freely acted upon by a free Abelian group $ J ^ {a} $ of rank $ a $ with a fixed system of generators $ t _ {1} \dots t ... (Mathematics) [78%] 2023-10-17
7. Spectral invariants: In symplectic geometry, the spectral invariants are invariants defined for the group of Hamiltonian diffeomorphisms of a symplectic manifold, which is closed related to Floer theory and Hofer geometry. If (M, ω) is a symplectic manifold, then a smooth vector field ... [78%] 2023-12-11 [Symplectic geometry]
8. Conformal invariants: Let $( M , g )$ be any Riemannian manifold, consisting of a smooth manifold $M$ and a non-degenerate symmetric form $g$ on the tangent bundle of $M$, not necessarily positive-definite. By definition, for any strictly positive smooth function $\lambda : M ... (Mathematics) [78%] 2023-12-12
9. Invariant statistic: A statistic taking constant values on orbits generated by a group of one-to-one measurable transformations of the sample space. Thus, if $ ( \mathfrak X , \mathfrak B ) $ is the sample space, $ G = \{ g \} $ is a group of one-to-one ... (Mathematics) [69%] 2023-12-11
10. J-invariant: In mathematics, Felix Klein's j-invariant or j function, regarded as a function of a complex variable τ, is a modular function of weight zero for SL(2, Z) defined on the upper half-plane of complex numbers. It is ... [69%] 2023-12-11 [Modular forms] [Elliptic functions]...
11. Curvature invariant (general relativity): In general relativity, curvature invariants are a set of scalars formed from the Riemann, Weyl and Ricci tensors - which represent curvature, hence the name, - and possibly operations on them such as contraction, covariant differentiation and dualisation. Certain invariants formed from ... (Physics) [69%] 2023-09-28 [Tensors in general relativity]
12. Eta-invariant: $ \eta $-invariant Let $A$ be an unbounded self-adjoint operator with only pure point spectrum (cf. also Spectrum of an operator). (Mathematics) [69%] 2023-12-12
13. Differential invariant: In mathematics, a differential invariant is an invariant for the action of a Lie group on a space that involves the derivatives of graphs of functions in the space. Differential invariants are fundamental in projective differential geometry, and the curvature ... [69%] 2023-10-28 [Differential geometry] [Invariant theory]...
14. Curvature invariant: In Riemannian geometry and pseudo-Riemannian geometry, curvature invariants are scalar quantities constructed from tensors that represent curvature. These tensors are usually the Riemann tensor, the Weyl tensor, the Ricci tensor and tensors formed from these by the operations of ... [69%] 2023-02-14 [Riemannian geometry]
15. Invariant theory: Invariant theory is a branch of abstract algebra dealing with actions of groups on algebraic varieties, such as vector spaces, from the point of view of their effect on functions. Classically, the theory dealt with the question of explicit description ... [69%] 2023-08-23 [Invariant theory]
16. Delta invariant: In mathematics, in the theory of algebraic curves, a delta invariant measures the number of double points concentrated at a point. It is a non-negative integer. [69%] 2022-10-05 [Algebraic curves] [Singularity theory]...
17. Knot invariant: In the mathematical field of knot theory, a knot invariant is a quantity (in a broad sense) defined for each knot which is the same for equivalent knots. The equivalence is often given by ambient isotopy but can be given ... (Function of a knot that takes the same value for equivalent knots) [69%] 2023-12-08 [Knot invariants]
18. Invariant metric: A Riemannian metric $ m $ on a manifold $ M $ that does not change under any of the transformations of a given Lie group $ G $ of transformations. The group $ G $ itself is called a group of motions (isometries) of the metric $ m ... (Mathematics) [69%] 2024-01-12
19. Arf-invariant: invariant of Arf An invariant of a quadratic form modulo 2, given on an integral lattice endowed with a bilinear skew-symmetric form. Let $L$ be an integral lattice of dimension $k=2m$ and let $\psi$ be a form for ... (Mathematics) [69%] 2023-10-17
20. Computable invariant: of a binary relation between words of a given type An algorithm (in some exact sense of the word; e.g. — as used in , — a normal algorithm) which is applicable to all the words of this type, and which processes ... (Mathematics) [69%] 2023-10-18