bundle dimension
101G-structure — In differential geometry, a G structure on an n manifold M , for a given structure group [Which is a Lie group G o GL(n,mathbf{R}) mapping to the general linear group GL(n,mathbf{R}). This is often but not always a Lie subgroup; for instance, for …
102Jet (mathematics) — In mathematics, the jet is an operation which takes a differentiable function f and produces a polynomial, the truncated Taylor polynomial of f , at each point of its domain. Although this is the definition of a jet, the theory of jets regards… …
103Europe, history of — Introduction history of European peoples and cultures from prehistoric times to the present. Europe is a more ambiguous term than most geographic expressions. Its etymology is doubtful, as is the physical extent of the area it designates.… …
104Instanton — An instanton or pseudoparticle is a notion appearing in theoretical and mathematical physics. Mathematically, a Yang Mills instanton is a self dual or anti self dual connection in a principal bundle over a four dimensional Riemannian manifold… …
105Gromov–Witten invariant — In mathematics, specifically in symplectic topology and algebraic geometry, Gromov–Witten (GW) invariants are rational numbers that, in certain situations, count pseudoholomorphic curves meeting prescribed conditions in a given symplectic… …
106Nilmanifold — In mathematics, a nilmanifold is a differentiable manifold which has a transitive nilpotent group of diffeomorphisms acting on it. As such, a nilmanifold is an example of a homogeneous space and is diffeomorphic to the quotient space N / H, the… …
107syndrome — The aggregate of symptoms and signs associated with any morbid process, and constituting together the picture of the disease. SEE ALSO: disease. [G. s., a running together, tumultuous concourse; (in med.) a concurrence of symptoms, fr. syn,… …
108Orthogonal matrix — In linear algebra, an orthogonal matrix (less commonly called orthonormal matrix[1]), is a square matrix with real entries whose columns and rows are orthogonal unit vectors (i.e., orthonormal vectors). Equivalently, a matrix Q is orthogonal if… …
109Magnetic monopole — It is impossible to make magnetic monopoles from a bar magnet. If a bar magnet is cut in half, it is not the case that one half has the north pole and the other half has the south pole. Inst …
110Haboush's theorem — In mathematics Haboush s theorem, often still referred to as the Mumford conjecture, states that for any semisimple algebraic group G over a field K , and for any linear representation ρ of G on a K vector space V , given v ne;0 in V that is… …
