Real point
Encyclopedia
A point in the complex projective plane is called real if there exists a complex number
z such that za, zb and zc are all real number
s.
This definition can be widened to complex projective space
and complex projective hyperspaces as follows:
is real if there exists a complex number z such that
is real.
(Note (0,0,...,0) is not a point)
Complex number
A complex number is a number consisting of a real part and an imaginary part. Complex numbers extend the idea of the one-dimensional number line to the two-dimensional complex plane by using the number line for the real part and adding a vertical axis to plot the imaginary part...
z such that za, zb and zc are all real number
Real number
In mathematics, a real number is a value that represents a quantity along a continuum, such as -5 , 4/3 , 8.6 , √2 and π...
s.
This definition can be widened to complex projective space
Complex projective space
In mathematics, complex projective space is the projective space with respect to the field of complex numbers. By analogy, whereas the points of a real projective space label the lines through the origin of a real Euclidean space, the points of a complex projective space label the complex lines...
and complex projective hyperspaces as follows:
is real if there exists a complex number z such that
is real.
(Note (0,0,...,0) is not a point)