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The set A^2 of all ordered pairs of complex numbers.

The degree to which a given quantity is correct and free from error. For example, a quantity specified as 100+/-1 has an (absolute) accuracy of +/-1 (meaning its true value ...

In the archaic terminology of Whittaker and Watson (1990), the complex number z representing x+iy.

The difference of two complex numbers z=x+iy and z^'=x^'+iy^' is given by z-z^'=(x-x^')+i(y-y^'). In component form, (x,y)-(x^',y^')=(x-x^',y-y^').

The difference of a quantity from some fixed value, usually the "correct" or "expected" one.

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.

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)}