On it, the horizontal axis is called the real axis
and the perpendicular vertical axis is called the imaginary axis.
discrepancies between the theoretical axis and the tool's real axis
Subsequent chapter topics include generalized inverse operators in Banach spaces, pseudo-inverse operators in Hilbert spaces, boundary value problems for operator equations and for systems of ordinary differential equations, impulsive boundary value problems for systems of ordinary differential equations, and solutions of differential and difference systems bounded on the entire real axis
i[omega]] is n-valent function in every curvelinear strip with the width in the direction to the real axis
equals to 2n[pi], i.
i] of this quantizer in the positive part of the real axis
are defined in the closed form in the following way
When the matrix A is real and, assuming that the polygonal line [GAMMA] is symmetric with respect to the real axis
and intersects it only in two points, half of the computation can be saved since
It gives the angle between the line joining the point to the origin and the positive real axis
, shown as [psi] in figure 1 , known as an argument of the point (that is, the angle between the half-lines of the position vector representing the number and the positive real axis
A final section presents examples of applications, such as stable solutions of Hammerstein-type integral equations, and inversion of the Laplace transform from the real axis
using an adaptive iteration method.
These Z and Y additional conditions are that the cross over the real axis
must be only at a unique frequency and that the imaginary part must change from negative to positive on the crossing.
Besides, the bisector coincides with the real axis
, while the point of intersection of it with the hyperbola (the top point) is determined as the square root from K([X.
2] = (c, d) are two intervals in the real axis
For obvious reasons the x-axis is called the real axis
and the y-axis is called the imaginary axis.