defined, but inequivalent, concepts of normal maps and normal invariants. It is possible to perform surgery on normal maps, meaning surgery on the domain...

Normal map may refer to: Normal mapping in 3D computer graphics Normal invariants in mathematical surgery theory Normal matrix in linear algebra Normal...

abstract algebra, a normal subgroup (also known as an invariant subgroup or self-conjugate subgroup) is a subgroup that is invariant under conjugation by...

functions Normal function, in set theory Normal invariants, in geometric topology Normal matrix, a matrix that commutes with its conjugate transpose Normal measure...

discrete log-normal distribution. City sizes (population) satisfy Gibrat's Law. The growth process of city sizes is proportionate and invariant with respect...

orientability (a normal invariant, also detected by homology) and genus (a homological invariant). Smooth closed manifolds have no local invariants (other than...

In mathematics, an invariant is a property of a mathematical object (or a class of mathematical objects) which remains unchanged after operations or transformations...

matrix A may be put in Jordan normal form. Since the underlying vector space can be shown to be the direct sum of invariant subspaces associated with the...

addition each Ai is normal in G, then the series is called a normal series, when this term is not used for the weaker sense, or an invariant series. A series...

divisors used in the construction of the Jordan normal form do not exist over F[X], so the invariant factors fi as given above must be used instead. The...

which are usually easier to determine. These are on one hand the normal invariants which form generalized cohomology groups, and hence one can use standard...

mathematics, a topological property or topological invariant is a property of a topological space that is invariant under homeomorphisms. Alternatively, a topological...

tests are affine invariant but not consistent. For example, the multivariate skewness test is not consistent against symmetric non-normal alternatives. The...

So the Smith normal form is ( 2 0 0 0 2 0 0 0 156 ) {\displaystyle {\begin{pmatrix}2&0&0\\0&2&0\\0&0&156\end{pmatrix}}} and the invariant factors are 2...

(called normal invariants) are classified by the set of homotopy classes [ X , G / O ] {\displaystyle [X,G/O]} . Each of these normal invariants has a surgery...

In mathematics, the Arf invariant of a nonsingular quadratic form over a field of characteristic 2 was defined by Turkish mathematician Cahit Arf (1941)...

In mathematics, the Kervaire invariant is an invariant of a framed ( 4 k + 2 ) {\displaystyle (4k+2)} -dimensional manifold that measures whether the...

characteristic in G. A subgroup of H that is invariant under all inner automorphisms is called normal; also, an invariant subgroup. ∀φ ∈ Inn(G)： φ(H) ≤ H Since...

Invariant of Framed Manifolds and Its Generalization", Annals of Mathematics 90, 157–186 (1969) Assembly map Exotic sphere Kervaire invariant Normal invariant...

The scale-invariant feature transform (SIFT) is a computer vision algorithm to detect, describe, and match local features in images, invented by David...

{\displaystyle \ell ^{2}(\mathbb {Z} )} , which is normal, but has no eigenvalues. The invariant subspaces of a shift acting on Hardy space are characterized...

conjecture Flexible polyhedron Formal manifold Loch Ness monster surface Normal invariant Ring lemma Rummler–Sullivan theorem Ruziewicz problem Holden, Helge;...

enough invariant subspaces to characterize it. Formally, A is reflexive if it is equal to the algebra of bounded operators which leave invariant each subspace...

In mathematical analysis, the Haar measure assigns an "invariant volume" to subsets of locally compact topological groups, consequently defining an integral...

non-invariant fluids, such as polymers. At every point in a stressed body there are at least three planes, called principal planes, with normal vectors...

such as the SVD, that are invariant with respect to diagonal scaling. Applicable to: m-by-n matrix A. Unit-Scale-Invariant Singular-Value Decomposition:...

lens spaces are determined by simple homotopy type, and there are no normal invariants (like characteristic classes) or surgery obstruction. A knot-theoretic...

G carrying a kind of averaging operation on bounded functions that is invariant under translation by group elements. The original definition, in terms...

s(M) is the section of the normal orthogonal bundle P. Moreover, the Chern–Simons term is described as the eta invariant defined by Atiyah, Patodi and...

{\textstyle \kappa _{n}(X+c)=\kappa _{n}(X),} i.e. the cumulant is translation invariant. (If n = 1 {\textstyle n=1} then we have κ 1 ( X + c ) = κ 1 ( X ) + c...