Search results
Results from the WOW.Com Content Network
In mathematics, Green's identities are a set of three identities in vector calculus relating the bulk with the boundary of a region on which differential operators act. They are named after the mathematician George Green , who discovered Green's theorem .
Also, Green's functions in general are distributions, not necessarily functions of a real variable. Green's functions are also useful tools in solving wave equations and diffusion equations. In quantum mechanics, Green's function of the Hamiltonian is a key concept with important links to the concept of density of states.
A special case of this is =, in which case the theorem is the basis for Green's identities. With F → F × G {\displaystyle \mathbf {F} \rightarrow \mathbf {F} \times \mathbf {G} } for two vector fields F and G , where × {\displaystyle \times } denotes a cross product,
This method is a specific application of Green's functions. [citation needed] The method of images works well when the boundary is a flat surface and the distribution has a geometric center. This allows for simple mirror-like reflection of the distribution to satisfy a variety of boundary conditions.
Curl (mathematics) Current (mathematics) Curvature; Curvilinear coordinates; Del; Differential form; Differential operator; Directional derivative; Divergence; Divergence theorem; Double integral; Equipotential surface; Euler's theorem on homogeneous functions; Exterior derivative; Flux; Frenet–Serret formulas; Gauss's law; Gradient; Green's ...
You can find instant answers on our AOL Mail help page. Should you need additional assistance we have experts available around the clock at 800-730-2563. Should you need additional assistance we have experts available around the clock at 800-730-2563.
In vector calculus, Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D (surface in ) bounded by C. It is the two-dimensional special case of Stokes' theorem (surface in R 3 {\displaystyle \mathbb {R} ^{3}} ).
Two others have reached at least $800,000 — Oregon’s Dan Lanning ($850,000) and Georgia’s Kirby Smart ($800,000).. All but Campbell have their teams in the College Football Playoff. Last ...