z = x + y	add y to x
z = x - y	subtract y from x
z = x * y	multiply x by y
z = x / y	divide x by y
z = 1 / x	inverse of x
z = x^2	x squared
z = sqrt x	square root of x
z = | x |	absolute value of x
z = arg x	argument of x in radians
z = exp x	base e raised to power x
z = ln x	natural logarithm of x
z -> x	copy z to x
z -> y	copy z to y
x <=> y	swap x and y

To operate the calculator, enter the values of complex numbers into x and y and then press the button corresponding to the desired operation.

To reset the input windows, press the Clear button

x = + j y = + j z = + j

Notes A complex number is represented as: z = a + jb where j2 = -1. Letting, x = a + jb y = c + jd r = sqrt (a2 + b2) t = arctan( b/a ) the operations of the calculator are performed as follows: x + y = (a + c) + j(b + d) x - y = (a - c) + j(b - d) x * y = (ac - bd) + j(ad + bc) x / y = [(ac + bd) + j(bc - ad)] / (c2 + d2) 1 / x = (a - bj) / (a2 + b2) x2 = (a2 - b2) + 2abj sqrt x = (sqrt r)(sin t/2 + j cos t/2) | x | = sqrt (a2 + b2) arg x = arctan( b/a ) exp x = ea(cos b + j sin b) ln x = ln r + j t The calculator computes only the principle value for multivalued functions. Copyright © 2004, Stephen R. Schmitt