Complex — Math.js Reference

arg

Compute the argument of a complex value. If x = a+bi, the argument is computed as atan2(b, a).

Syntax

arg(x)

Parameters

Name	Type	Description
x	number \| BigNumber \| Complex \| Array \| Matrix

Returns

number | BigNumber | Array | Matrix — The argument of x

Examples

arg(2 + 2i)
atan2(3
2)
arg(2 + 3i)

See Also

re im conj abs

conj

Compute the complex conjugate of a complex value. If x = a+bi, the complex conjugate is a-bi.

Syntax

conj(x)

Parameters

Name	Type	Description
x	number \| BigNumber \| Complex \| Array \| Matrix \| Unit

Returns

Examples

conj(2 + 3i)
conj(2 - 3i)
conj(-5.2i)

See Also

re im abs arg

im

Get the imaginary part of a complex number.

Syntax

im(x)

Parameters

Name	Type	Description
x	number \| BigNumber \| Complex \| Array \| Matrix

Returns

number | BigNumber | Array | Matrix — The imaginary part of x

Examples

im(2 + 3i)
re(2 + 3i)
im(-5.2i)
im(2.4)

See Also

re conj abs arg

re

Get the real part of a complex number.

Syntax

re(x)

Parameters

Name	Type	Description
x	number \| BigNumber \| Complex \| Array \| Matrix

Returns

number | BigNumber | Array | Matrix — The real part of x

Examples

re(2 + 3i)
im(2 + 3i)
re(-5.2i)
re(2.4)

See Also

im conj abs arg