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I

root of x^2 = -1

 

Description

Examples

Description

• 

Maple uses I to represent one of the square roots of -1, with -I representing the other, for computations over the complex numbers.

• 

Arithmetic expressions involving I and other numeric constants are automatically evaluated.

• 

The evalc function can be used to symbolically manipulate complex-valued expressions.

• 

The evalf function can be used to numerically evaluate complex-valued expressions.

• 

The evalhf function can be used to numerically evaluate complex-valued expressions using the floating-point hardware of the underlying system.

• 

I is implemented as Complex(1), and therefore, unlike many other Maple constants, type(I, name) returns false.

• 

Since the literal expressions "sqrt(-1)" or "(-1)^(1/2)" do not appear in the representation of I, or any complex number in Maple, type(I, radical) returns false.

• 

If you want to see this complex constant displayed as another letter (for example j), use interface(imaginaryunit=j).  See interface for  more information.

Examples

I2

1

(1)

10+5I3+4I

10+55I

(2)

solutionssolvex3=3

solutions:=31/3,1231/312I35/6,1231/3+12I35/6

(3)

evalfsolutions

1.442249570,0.72112478501.249024766I,0.7211247850+1.249024766I

(4)

mapevalhf,solutions

1.44224957030740830,0.7211247851537041511.24902476648340643I,0.721124785153704151+1.24902476648340643I

(5)

See Also

complex

evalc

evalf

evalhf

interface

solve

type/complex

type/complexcons

type/constant

 


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