imaginary unit

Noun

Meaning

imaginary unit (plural imaginary units)

(number theory, complex analysis, quaternion theory) An imaginary number (in the case of complex numbers, usually denoted



i


{\displaystyle i}

) that is defined as a solution to the equation




x

2


=
−
1


{\displaystyle x^{2}=-1}

.

Source: en.wiktionary.org

Examples

Alternatively it follows from the identity : (where i denotes the usual imaginary unit ) and hence from the multiplicative property of determinants of square matrices. Source: Internet

MATLAB associates both and with the imaginary unit, although or is preferable, for speed and improved robustness. Source: Internet

Here, the imaginary unit is the (four-dimensional) volume element, and is the unit vector in time direction. Source: Internet

The I and Q signals can be combined into a complex-valued signal I+jQ (where j is the imaginary unit ). Source: Internet

In bivectors and biquaternions an additional imaginary unit is used. Source: Internet

It is sometimes possible to identify the presence of an imaginary unit in a physical equation. Source: Internet

Close letter words and terms

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