Noun
half-plane (plural half-planes)
(mathematics) Either half of an infinite plane (divided by a straight line)
Roughly speaking, continued fraction convergents can be taken to be Mobius transformations acting on the (hyperbolic) upper half-plane ; this is what leads to the fractal self-symmetry. Source: Internet
It is thus possible to ignore the flow in the lower half-plane where y < 0 and to focus on the flow in the upper half-plane. Source: Internet
Littlewood showed that if the sequence (γ n ) contains the imaginary parts of all zeros in the upper half-plane in ascending order, then : The critical line theorem asserts that a positive percentage of the nontrivial zeros lies on the critical line. Source: Internet
See also * Schwarz–Christoffel mapping – a conformal transformation of the upper half-plane onto the interior of a simple polygon. Source: Internet
The action of the modular group on the Poincaré half-plane is also wandering. Source: Internet
The circles in the upper half-plane thus flow clockwise, those in the lower half-plane flow anticlockwise. Source: Internet