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The set A^2 of all ordered pairs of complex numbers.
In the archaic terminology of Whittaker and Watson (1990), the complex number z representing x+iy.
The extended complex plane is the name given to the complex plane with a point at infinity attached: C union {infty^~}, where infty^~ denotes complex infinity. It is also ...
The axis in the complex plane corresponding to zero real part, R[z]=0.
A pair of values x and y one or both of which is complex.
The portion of the complex plane z=x+iy with real part R[z]<0.
The unit lower half-disk is the portion of the complex plane satisfying {|z|<=1,I[z]<0}.
The portion of the complex plane {x+iy:x,y in (-infty,infty)} satisfying y=I[z]<0, i.e., {x+iy:x in (-infty,infty),y in (-infty,0)}
The negative real axis is the portion of the real axis with x<0.
The positive real axis is the portion of the real axis with x>0.
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