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Basic Functions

Sqrt(z) the square root of the expression z
Abs(z) the absolute value of z; i.e. Abs(z)=| z |
Sign(z) the sign of z; it may be 1,-1 or 0
Exp(z) the exponential of the expression z; i.e. Exp(z)=ez
Lim(f, z, zo) the limit of f as z approaches zo

Trigonometric Functions

Pi the area of a unit circle; i.e. 3.14159...
Deg the number of radians per degree; i.e. p/180
Cos(z) the cosine of the angle z
Sin(z) the sine of the angle z
Tan(z) the tangent of the angle z
Ctn(z) the cotangent of the angle z
Sec(z) the secant of the angle z
Csc(z) the cosecant of the angle z


Inverse Trigonometric Functions

Acos(z) the principal arccosine of z measured counterclockwise from the positive x-axis
Asin(z) the principal arcsine of z measured counterclockwise from the positive x-axis
Atan(z) the principal arctangent of z measured counterclockwise from the positive x-axis
Actn(z) the principal arccotangent of z measured counterclockwise from the positive x-axis
Asec(z) the principal arcsecant of z measured counterclockwise from the positive x-axis
Acsc(z) the principal arccosecant of z measured counterclockwise from the positive x-axis


Complex Variable Functions

i the imaginary unit, Sqrt(-1)
Re(z) simplifies to the real part of z; i.e. Re(x+yi)=x
Im(z) simplifies to the real part of z; i.e. Im(x+yi)=y
Conj(x) simplifies to the complex conjugate of z; i.e. Conj(x+yi)=(x-yi)
Phase(z) simplifies to the phase angle j of z measured counterclockwise from the positive x-axis