complex plane


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complex plane

[¦käm‚pleks ′plān]
(mathematics)
A plane whose points are assigned the real and imaginary parts of complex numbers for coordinates.
References in periodicals archive ?
z) are analytic in the complete complex plane cut along the sections [L.
In this example the feasible region is a surface in the complex plane.
Let [alpha] be a fixed complex number, let D be a simply connected region in the complex plane C that is starlike with respect to the point z = [alpha] (i.
We see that in view of (4) the differential operator 1 + zf"(z)/f'(z) - zf'(z)/f(z) takes values in the disk of radius 1 /2 with center at origin whereas by (3), the same operator can take values in the complex plane C except two slits R(w) = 0, |[?
To give the explicit representations for the solutions of the problems, we will consider the particular case of the unit disc D of the complex plane.
It is well known that the fixed discrete-time polynomial p(z) is stable if and only if all its roots are inside the unit circle with the centre in the origin of the complex plane.
Out of the 24 flights made by this complex plane, Dell piloted it 12 times and was the main man responsible for its testing.
Visualizations of the Mandelbrot Set, the Lorenz Attractor and the Feigenbaum function in the complex plane are stunning and rival many renditions of what are considered more conventional art forms.
The thrust of the present investigation is provided by the mapping of Neumann to Dirichlet eigen-problems that obtains as the complex boundary parameter varies from zero to the point at infinity along a fixed direction in the complex plane.
It is the aim of this paper to observe an interesting phenomenon of 'scattering' of the zeros of q-Euler polynomials of higher order in complex plane.
the space of messages F is the set of continuous and infinitely derivable functions cm the complex plane.
I cannot understate the challenge of taking a complex plane like Typhoon half way round the world at such an early stage of its life.

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