A complex number z is defined as an ordered pair `z = (x, y) ,` where `x` and `y` are a pair of real numbers. In usual notation, we
write `z = x + iy ,`
where `i` is a symbol. The operations of addition and multiplication of complex numbers are defined in a meaningful manner, which force `i^2 = −1.` The set of all complex numbers is denoted by `C.` Write `Re z = x ,\ \ \ \ Im z = y .`
Since complex numbers are defined as ordered pairs, two complex numbers `(x_1, y_1)` and `(x_2, y_2)` are equal if and only if both their real parts and imaginary parts are equal. Symbolically, `(x_1, y_1) = (x_2, y_2)` if and only if `x_1=x_2` and `y_1=y_2 .`
A complex number `z = (x, y),` or as `z = x + iy,` is defined by a pair of real numbers `x` and y; so does for a point `(x, y)` in the `x - y` plane.
We associate a one-to-one correspondence between the complexnumber `z =x + iy` and the point `(x, y)` in the `x - y` plane. We refer the plane as the complex plane or `z-` plane
A complex number z is defined as an ordered pair `z = (x, y) ,` where `x` and `y` are a pair of real numbers. In usual notation, we
write `z = x + iy ,`
where `i` is a symbol. The operations of addition and multiplication of complex numbers are defined in a meaningful manner, which force `i^2 = −1.` The set of all complex numbers is denoted by `C.` Write `Re z = x ,\ \ \ \ Im z = y .`
Since complex numbers are defined as ordered pairs, two complex numbers `(x_1, y_1)` and `(x_2, y_2)` are equal if and only if both their real parts and imaginary parts are equal. Symbolically, `(x_1, y_1) = (x_2, y_2)` if and only if `x_1=x_2` and `y_1=y_2 .`
A complex number `z = (x, y),` or as `z = x + iy,` is defined by a pair of real numbers `x` and y; so does for a point `(x, y)` in the `x - y` plane.
We associate a one-to-one correspondence between the complexnumber `z =x + iy` and the point `(x, y)` in the `x - y` plane. We refer the plane as the complex plane or `z-` plane