real axis


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real axis

[′rēl ′ak·səs]
(mathematics)
The horizontal axis of the Cartesian coordinate system for the euclidean or complex plane.
References in periodicals archive ?
Notice the position of the two solutions; they are no longer on the real axis.
n] is a set which is bounded, symmetric with the respect of the real axis and which the boundary coincides with the segment [-i, i] and the arc given by the polar equation [rho] = r([theta])[e.
When r is symmetric with respect to the real axis, only half of the integration is performed.
osc] complies with the NDF requirement) provides information about the existence of Y visible or hidden poles in the RHP, but, as in the previous case, the cross over the real axis of [?
The hyperbolas of the respective chemical elements lie in the order of the increasing nuclear charge, and have a common real axis which meets their tops.
ii) Extend (if necessary) E(z) analytically along the entire positive real axis (assuming this to be possible).
C] as the least positive frequency where the curve crosses the real axis, i.
In fact, the introduction to branch cuts started with opening the applet again and repeating the strange behavior around the negative real axis of both the logarithm and the square root functions.
As occurred in the real case with [sigma] [greater than or equal to] 0, [delta] varies from 0 to [pi]/2 only now it makes an excursion into the complex plane rather than traveling along the real axis.
Evil is a real religious notion and the real axis of evil revokes around religious inspired and politically implemented notions of Chosinness .
When all the branch cuts for the square root functions in the above equations were taken along the real axis between each pair of branch points, using the above relations Eqs.
During that time, we fought and won two world wars, defeating a real axis of evil (Hitler, Mussolini and Tojo), ending racial segregation in the military, rebuilding Europe and Japan, and becoming the strongest, richest nation in the world.