- 11.1 Complex Arithmetic
- Complex number addition, subtraction, multiplication and division can be done in any complex format. Mixed format computations may also be done.
- 11.2 Form Conversion
- Complex number conversions can be performed in several ways.
- 11.3 abs( z )
- Returns the absolute value or modulus of the complex number z.
- 11.4 angle( z )
- Returns the polar angle or argument of the complex number z.
- 11.5 cDot( z1, z2 )
- Returns the complex dot product of z1 and z2.
- 11.6 cCross( z1, z2 )
- Returns the complex cross product of z1 and z2.
- 11.7 cGrad( u(x,y), v(x,y)
- Gradient of the complex valued function u(x,y) + iv(x,y).
- 11.8 cDiv( u(x,y), v(x,y)
- Divergence of the complex valued function u(x,y) + iv(x,y).
- 11.9 cCurl( u(x,y), v(x,y)
- Curl of the complex valued function u(x,y) + iv(x,y).
- 11.10 cPot( f(x,y) )
- Potential of the complex valued function f(x,y) = u(x,y) + iv(x,y).
- 11.11
- cSolve( equation, var )
- solves equation for var.
- cSolve( equation1 and equation2 ..., {var1, var2, ...} )
- Returns complex solutions of equation, eqn, for variables {var1, var2,...}.
- 11.12
- cFactor( expression )
- Returns expression factored with respect to all of its variables over a common denominator.
- cFactor( expression, var )
- Returns expression factored with respect to variable var.
- 11.13
- cZeros( expression, var )
- Returns a list of candidate complex values of var that make expression = 0.
- cZeros( {expression1, expression2, ...}, {var1, var2, ...} )
- Returns candidate complex zeros of the simultaneous algebraic expressions, where each var specifies an unknown which you seek.
- note: place an underscore_ after var_ to indicate that the variable may take complex values.
- 11.14 nroot( x, n )
- Returns a menu of choices to describe the nth root of x.
- 11.15 analyt( u(x,y), v(x,y) )
- Determines if the complex function u(x,y) + iv(x,y) is analytic and computes its partial derivatives.
