scalar function
91Laplace-Beltrami operator/Proofs — div is adjoint to dThe claim is made that −div is adjoint to d ::int M df(X) ;omega = int M f , operatorname{div} X ;omega Proof of the above statement::int M (fmathrm{div}(X) + X(f)) omega = int M (fmathcal{L} X + mathcal{L} X(f)) omega :: = int …
92Dust solution — In general relativity, a dust solution is an exact solution of the Einstein field equation in which the gravitational field is produced entirely by the mass, momentum, and stress density of a perfect fluid which has positive mass density but… …
93Streamlines, streaklines, and pathlines — Fluid flow is described in general by a vector field in three (for steady flows) or four (for non steady flows including time) dimensions. Pathlines, streamlines, and streaklines are field lines of different vector field descriptions of the flow …
94Drishti — User Interface …
95Chapman–Robbins bound — In statistics, the Chapman–Robbins bound or Hammersley–Chapman–Robbins bound is a lower bound on the variance of estimators of a deterministic parameter. It is a generalization of the Cramér–Rao bound; compared to the Cramér–Rao bound, it is both …
96Surface normal — Normal vector redirects here. For a normalized vector, or vector of length one, see unit vector. A polygon and two of its normal vectors …
97Electrostatics — For a less technical introduction, see Static electricity. Electromagnetism …
98Velocity potential — A velocity potential is used in fluid dynamics, when a fluid occupies a simply connected region and is irrotational. In such a case,: abla imes mathbf{u} =0,where mathbf{u} denotes the flow velocity of the fluid. As a result, mathbf{u} can be… …
99Reeb graph — In Morse theory, a branch of mathematics, a Reeb graph of a scalar function describes the connectivity of its level sets.[1]Reeb graphs are named after Georges Reeb. If the function is defined over a vector space rather than over a more general… …
100Warped geometry — In mathematics and physics, in particular differential geometry and general relativity, a warped geometry is a Riemannian or Lorentzian manifold whose metric tensor can be written in form :ds^2 , = g {ab}(y) dy^a dy^b + f(y) g {ij}(x) dx^i… …
