real axis
Noun
Meaning
real axis (plural real axes)
(mathematics) The horizontal line in the complex plane, every point on which corresponds to a real number
Examples
The fact that for all complex s ≠ 1 implies that the zeros of the Riemann zeta function are symmetric about the real axis.
If this limit exists, then it may be computed by taking the limit as h → 0 along the real axis or imaginary axis; in either case it should give the same result.
Formally, for any complex number z: : Geometrically, is the "reflection" of z about the real axis.
Hue varies with argument, or angle, measured from the positive real axis.
The convergence is poor in vicinity of the negative part of the real axis.
The Laplace transform can be alternatively defined as the bilateral Laplace transform or two-sided Laplace transform by extending the limits of integration to be the entire real axis.